25.603 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.252 * * * [progress]: [2/2] Setting up program. 0.256 * [progress]: [Phase 2 of 3] Improving. 0.256 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.257 * [simplify]: Simplifying: (/ (log (- 1 x)) (log (+ 1 x))) 0.257 * * [simplify]: iteration 0: 7 enodes 0.260 * * [simplify]: iteration 1: 13 enodes 0.264 * * [simplify]: iteration 2: 15 enodes 0.268 * * [simplify]: iteration complete: 15 enodes 0.268 * * [simplify]: Extracting #0: cost 1 inf + 0 0.268 * * [simplify]: Extracting #1: cost 3 inf + 0 0.268 * * [simplify]: Extracting #2: cost 7 inf + 0 0.268 * * [simplify]: Extracting #3: cost 5 inf + 133 0.268 * * [simplify]: Extracting #4: cost 2 inf + 526 0.269 * * [simplify]: Extracting #5: cost 0 inf + 572 0.269 * [simplify]: Simplified to: (/ (log (- 1 x)) (log1p x)) 0.281 * * [progress]: iteration 1 / 4 0.281 * * * [progress]: picking best candidate 0.289 * * * * [pick]: Picked # 0.289 * * * [progress]: localizing error 0.322 * * * [progress]: generating rewritten candidates 0.322 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.327 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.342 * * * [progress]: generating series expansions 0.342 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.342 * [backup-simplify]: Simplify (log (- 1 x)) into (log (- 1 x)) 0.342 * [approximate]: Taking taylor expansion of (log (- 1 x)) in (x) around 0 0.342 * [taylor]: Taking taylor expansion of (log (- 1 x)) in x 0.342 * [taylor]: Taking taylor expansion of (- 1 x) in x 0.342 * [taylor]: Taking taylor expansion of 1 in x 0.342 * [backup-simplify]: Simplify 1 into 1 0.342 * [taylor]: Taking taylor expansion of x in x 0.342 * [backup-simplify]: Simplify 0 into 0 0.342 * [backup-simplify]: Simplify 1 into 1 0.343 * [backup-simplify]: Simplify (- 0) into 0 0.343 * [backup-simplify]: Simplify (+ 1 0) into 1 0.343 * [backup-simplify]: Simplify (log 1) into 0 0.343 * [taylor]: Taking taylor expansion of (log (- 1 x)) in x 0.343 * [taylor]: Taking taylor expansion of (- 1 x) in x 0.343 * [taylor]: Taking taylor expansion of 1 in x 0.343 * [backup-simplify]: Simplify 1 into 1 0.343 * [taylor]: Taking taylor expansion of x in x 0.343 * [backup-simplify]: Simplify 0 into 0 0.343 * [backup-simplify]: Simplify 1 into 1 0.344 * [backup-simplify]: Simplify (- 0) into 0 0.344 * [backup-simplify]: Simplify (+ 1 0) into 1 0.344 * [backup-simplify]: Simplify (log 1) into 0 0.344 * [backup-simplify]: Simplify 0 into 0 0.344 * [backup-simplify]: Simplify (- 1) into -1 0.345 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.345 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 0.345 * [backup-simplify]: Simplify -1 into -1 0.346 * [backup-simplify]: Simplify (- 0) into 0 0.346 * [backup-simplify]: Simplify (+ 0 0) into 0 0.349 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.349 * [backup-simplify]: Simplify -1/2 into -1/2 0.350 * [backup-simplify]: Simplify (- 0) into 0 0.350 * [backup-simplify]: Simplify (+ 0 0) into 0 0.355 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 -1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 -1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into -1/3 0.355 * [backup-simplify]: Simplify -1/3 into -1/3 0.356 * [backup-simplify]: Simplify (+ (* -1/3 (pow x 3)) (+ (* -1/2 (pow x 2)) (* -1 x))) into (- (+ x (+ (* 1/3 (pow x 3)) (* 1/2 (pow x 2))))) 0.356 * [backup-simplify]: Simplify (log (- 1 (/ 1 x))) into (log (- 1 (/ 1 x))) 0.356 * [approximate]: Taking taylor expansion of (log (- 1 (/ 1 x))) in (x) around 0 0.356 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 x))) in x 0.356 * [taylor]: Taking taylor expansion of (- 1 (/ 1 x)) in x 0.356 * [taylor]: Taking taylor expansion of 1 in x 0.356 * [backup-simplify]: Simplify 1 into 1 0.356 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.356 * [taylor]: Taking taylor expansion of x in x 0.356 * [backup-simplify]: Simplify 0 into 0 0.356 * [backup-simplify]: Simplify 1 into 1 0.357 * [backup-simplify]: Simplify (/ 1 1) into 1 0.357 * [backup-simplify]: Simplify (- 1) into -1 0.357 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.358 * [backup-simplify]: Simplify (log -1) into (log -1) 0.358 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 x))) in x 0.358 * [taylor]: Taking taylor expansion of (- 1 (/ 1 x)) in x 0.358 * [taylor]: Taking taylor expansion of 1 in x 0.358 * [backup-simplify]: Simplify 1 into 1 0.358 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.358 * [taylor]: Taking taylor expansion of x in x 0.358 * [backup-simplify]: Simplify 0 into 0 0.358 * [backup-simplify]: Simplify 1 into 1 0.358 * [backup-simplify]: Simplify (/ 1 1) into 1 0.359 * [backup-simplify]: Simplify (- 1) into -1 0.359 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.360 * [backup-simplify]: Simplify (log -1) into (log -1) 0.361 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 0.361 * [backup-simplify]: Simplify (- (log -1) (log x)) into (- (log -1) (log x)) 0.362 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.362 * [backup-simplify]: Simplify (- 0) into 0 0.363 * [backup-simplify]: Simplify (+ 1 0) into 1 0.364 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 0.364 * [backup-simplify]: Simplify -1 into -1 0.365 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.366 * [backup-simplify]: Simplify (- 0) into 0 0.366 * [backup-simplify]: Simplify (+ 0 0) into 0 0.369 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 0.369 * [backup-simplify]: Simplify -1/2 into -1/2 0.370 * [backup-simplify]: Simplify (+ (* -1/2 (pow (/ 1 x) 2)) (+ (* -1 (/ 1 x)) (- (log -1) (log (/ 1 x))))) into (- (log -1) (+ (log (/ 1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 x)))) 0.370 * [backup-simplify]: Simplify (log (- 1 (/ 1 (- x)))) into (log (+ (/ 1 x) 1)) 0.370 * [approximate]: Taking taylor expansion of (log (+ (/ 1 x) 1)) in (x) around 0 0.370 * [taylor]: Taking taylor expansion of (log (+ (/ 1 x) 1)) in x 0.370 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 0.370 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.370 * [taylor]: Taking taylor expansion of x in x 0.370 * [backup-simplify]: Simplify 0 into 0 0.370 * [backup-simplify]: Simplify 1 into 1 0.370 * [backup-simplify]: Simplify (/ 1 1) into 1 0.370 * [taylor]: Taking taylor expansion of 1 in x 0.370 * [backup-simplify]: Simplify 1 into 1 0.371 * [backup-simplify]: Simplify (+ 1 0) into 1 0.371 * [backup-simplify]: Simplify (log 1) into 0 0.371 * [taylor]: Taking taylor expansion of (log (+ (/ 1 x) 1)) in x 0.371 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 0.371 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.371 * [taylor]: Taking taylor expansion of x in x 0.371 * [backup-simplify]: Simplify 0 into 0 0.371 * [backup-simplify]: Simplify 1 into 1 0.372 * [backup-simplify]: Simplify (/ 1 1) into 1 0.372 * [taylor]: Taking taylor expansion of 1 in x 0.372 * [backup-simplify]: Simplify 1 into 1 0.372 * [backup-simplify]: Simplify (+ 1 0) into 1 0.373 * [backup-simplify]: Simplify (log 1) into 0 0.374 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 0.374 * [backup-simplify]: Simplify (- (log x)) into (- (log x)) 0.374 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.375 * [backup-simplify]: Simplify (+ 0 1) into 1 0.376 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.376 * [backup-simplify]: Simplify 1 into 1 0.377 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.378 * [backup-simplify]: Simplify (+ 0 0) into 0 0.380 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.380 * [backup-simplify]: Simplify -1/2 into -1/2 0.381 * [backup-simplify]: Simplify (+ (* -1/2 (pow (/ 1 (- x)) 2)) (+ (* 1 (/ 1 (- x))) (- (log (/ 1 (- x)))))) into (- (+ (log (/ -1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 x)))) 0.381 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.381 * [backup-simplify]: Simplify (/ (log (- 1 x)) (log1p x)) into (/ (log (- 1 x)) (log1p x)) 0.381 * [approximate]: Taking taylor expansion of (/ (log (- 1 x)) (log1p x)) in (x) around 0 0.381 * [taylor]: Taking taylor expansion of (/ (log (- 1 x)) (log1p x)) in x 0.381 * [taylor]: Taking taylor expansion of (log (- 1 x)) in x 0.381 * [taylor]: Taking taylor expansion of (- 1 x) in x 0.381 * [taylor]: Taking taylor expansion of 1 in x 0.381 * [backup-simplify]: Simplify 1 into 1 0.381 * [taylor]: Taking taylor expansion of x in x 0.381 * [backup-simplify]: Simplify 0 into 0 0.381 * [backup-simplify]: Simplify 1 into 1 0.382 * [backup-simplify]: Simplify (- 0) into 0 0.382 * [backup-simplify]: Simplify (+ 1 0) into 1 0.382 * [backup-simplify]: Simplify (log 1) into 0 0.382 * [taylor]: Taking taylor expansion of (log1p x) in x 0.383 * [taylor]: Rewrote expression to (log (+ 1 x)) 0.383 * [taylor]: Taking taylor expansion of (+ 1 x) in x 0.383 * [taylor]: Taking taylor expansion of 1 in x 0.383 * [backup-simplify]: Simplify 1 into 1 0.383 * [taylor]: Taking taylor expansion of x in x 0.383 * [backup-simplify]: Simplify 0 into 0 0.383 * [backup-simplify]: Simplify 1 into 1 0.383 * [backup-simplify]: Simplify (+ 1 0) into 1 0.384 * [backup-simplify]: Simplify (log 1) into 0 0.384 * [backup-simplify]: Simplify (- 1) into -1 0.384 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.386 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 0.386 * [backup-simplify]: Simplify (+ 0 1) into 1 0.387 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.388 * [backup-simplify]: Simplify (/ -1 1) into -1 0.388 * [taylor]: Taking taylor expansion of (/ (log (- 1 x)) (log1p x)) in x 0.388 * [taylor]: Taking taylor expansion of (log (- 1 x)) in x 0.388 * [taylor]: Taking taylor expansion of (- 1 x) in x 0.388 * [taylor]: Taking taylor expansion of 1 in x 0.388 * [backup-simplify]: Simplify 1 into 1 0.388 * [taylor]: Taking taylor expansion of x in x 0.388 * [backup-simplify]: Simplify 0 into 0 0.388 * [backup-simplify]: Simplify 1 into 1 0.388 * [backup-simplify]: Simplify (- 0) into 0 0.389 * [backup-simplify]: Simplify (+ 1 0) into 1 0.389 * [backup-simplify]: Simplify (log 1) into 0 0.389 * [taylor]: Taking taylor expansion of (log1p x) in x 0.389 * [taylor]: Rewrote expression to (log (+ 1 x)) 0.389 * [taylor]: Taking taylor expansion of (+ 1 x) in x 0.389 * [taylor]: Taking taylor expansion of 1 in x 0.389 * [backup-simplify]: Simplify 1 into 1 0.389 * [taylor]: Taking taylor expansion of x in x 0.389 * [backup-simplify]: Simplify 0 into 0 0.389 * [backup-simplify]: Simplify 1 into 1 0.390 * [backup-simplify]: Simplify (+ 1 0) into 1 0.390 * [backup-simplify]: Simplify (log 1) into 0 0.391 * [backup-simplify]: Simplify (- 1) into -1 0.391 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.392 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 0.393 * [backup-simplify]: Simplify (+ 0 1) into 1 0.394 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.395 * [backup-simplify]: Simplify (/ -1 1) into -1 0.395 * [backup-simplify]: Simplify -1 into -1 0.395 * [backup-simplify]: Simplify (- 0) into 0 0.395 * [backup-simplify]: Simplify (+ 0 0) into 0 0.398 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.399 * [backup-simplify]: Simplify (+ 0 0) into 0 0.402 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.403 * [backup-simplify]: Simplify (- (/ -1/2 1) (+ (* -1 (/ -1/2 1)))) into -1 0.403 * [backup-simplify]: Simplify -1 into -1 0.403 * [backup-simplify]: Simplify (- 0) into 0 0.403 * [backup-simplify]: Simplify (+ 0 0) into 0 0.409 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 -1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 -1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into -1/3 0.410 * [backup-simplify]: Simplify (+ 0 0) into 0 0.415 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 0.417 * [backup-simplify]: Simplify (- (/ -1/3 1) (+ (* -1 (/ 1/3 1)) (* -1 (/ -1/2 1)))) into -1/2 0.417 * [backup-simplify]: Simplify -1/2 into -1/2 0.417 * [backup-simplify]: Simplify (+ (* -1/2 (pow x 2)) (+ (* -1 x) -1)) into (- (+ x (+ (* 1/2 (pow x 2)) 1))) 0.417 * [backup-simplify]: Simplify (/ (log (- 1 (/ 1 x))) (log1p (/ 1 x))) into (/ (log (- 1 (/ 1 x))) (log1p (/ 1 x))) 0.417 * [approximate]: Taking taylor expansion of (/ (log (- 1 (/ 1 x))) (log1p (/ 1 x))) in (x) around 0 0.417 * [taylor]: Taking taylor expansion of (/ (log (- 1 (/ 1 x))) (log1p (/ 1 x))) in x 0.417 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 x))) in x 0.417 * [taylor]: Taking taylor expansion of (- 1 (/ 1 x)) in x 0.417 * [taylor]: Taking taylor expansion of 1 in x 0.417 * [backup-simplify]: Simplify 1 into 1 0.417 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.418 * [taylor]: Taking taylor expansion of x in x 0.418 * [backup-simplify]: Simplify 0 into 0 0.418 * [backup-simplify]: Simplify 1 into 1 0.418 * [backup-simplify]: Simplify (/ 1 1) into 1 0.418 * [backup-simplify]: Simplify (- 1) into -1 0.419 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.419 * [backup-simplify]: Simplify (log -1) into (log -1) 0.419 * [taylor]: Taking taylor expansion of (log1p (/ 1 x)) in x 0.419 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 x))) 0.419 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 x)) in x 0.419 * [taylor]: Taking taylor expansion of 1 in x 0.420 * [backup-simplify]: Simplify 1 into 1 0.420 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.420 * [taylor]: Taking taylor expansion of x in x 0.420 * [backup-simplify]: Simplify 0 into 0 0.420 * [backup-simplify]: Simplify 1 into 1 0.420 * [backup-simplify]: Simplify (/ 1 1) into 1 0.420 * [backup-simplify]: Simplify (+ 0 1) into 1 0.421 * [backup-simplify]: Simplify (log 1) into 0 0.422 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 0.422 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 0.423 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 0.424 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 0.424 * [backup-simplify]: Simplify (/ (- (log -1) (log x)) (- (log x))) into (* -1 (/ (- (log -1) (log x)) (log x))) 0.424 * [taylor]: Taking taylor expansion of (/ (log (- 1 (/ 1 x))) (log1p (/ 1 x))) in x 0.424 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 x))) in x 0.424 * [taylor]: Taking taylor expansion of (- 1 (/ 1 x)) in x 0.424 * [taylor]: Taking taylor expansion of 1 in x 0.424 * [backup-simplify]: Simplify 1 into 1 0.424 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.424 * [taylor]: Taking taylor expansion of x in x 0.424 * [backup-simplify]: Simplify 0 into 0 0.424 * [backup-simplify]: Simplify 1 into 1 0.425 * [backup-simplify]: Simplify (/ 1 1) into 1 0.425 * [backup-simplify]: Simplify (- 1) into -1 0.426 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.426 * [backup-simplify]: Simplify (log -1) into (log -1) 0.426 * [taylor]: Taking taylor expansion of (log1p (/ 1 x)) in x 0.426 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 x))) 0.426 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 x)) in x 0.426 * [taylor]: Taking taylor expansion of 1 in x 0.426 * [backup-simplify]: Simplify 1 into 1 0.426 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.426 * [taylor]: Taking taylor expansion of x in x 0.426 * [backup-simplify]: Simplify 0 into 0 0.426 * [backup-simplify]: Simplify 1 into 1 0.427 * [backup-simplify]: Simplify (/ 1 1) into 1 0.427 * [backup-simplify]: Simplify (+ 0 1) into 1 0.428 * [backup-simplify]: Simplify (log 1) into 0 0.428 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 0.429 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 0.430 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 0.430 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 0.431 * [backup-simplify]: Simplify (/ (- (log -1) (log x)) (- (log x))) into (* -1 (/ (- (log -1) (log x)) (log x))) 0.431 * [backup-simplify]: Simplify (* -1 (/ (- (log -1) (log x)) (log x))) into (* -1 (/ (- (log -1) (log x)) (log x))) 0.432 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.432 * [backup-simplify]: Simplify (- 0) into 0 0.433 * [backup-simplify]: Simplify (+ 1 0) into 1 0.434 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 0.435 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 0.436 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.436 * [backup-simplify]: Simplify (+ 1 0) into 1 0.437 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.438 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 0.439 * [backup-simplify]: Simplify (- (/ -1 (- (log x))) (+ (* (* -1 (/ (- (log -1) (log x)) (log x))) (/ 1 (- (log x)))))) into (- (* 2 (/ 1 (log x))) (/ (log -1) (pow (log x) 2))) 0.439 * [backup-simplify]: Simplify (- (* 2 (/ 1 (log x))) (/ (log -1) (pow (log x) 2))) into (- (* 2 (/ 1 (log x))) (/ (log -1) (pow (log x) 2))) 0.440 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.441 * [backup-simplify]: Simplify (- 0) into 0 0.446 * [backup-simplify]: Simplify (+ 0 0) into 0 0.449 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 0.449 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 0.450 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.450 * [backup-simplify]: Simplify (+ 0 0) into 0 0.452 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.452 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 0.452 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 0.453 * [backup-simplify]: Simplify (- (/ -1/2 (- (log x))) (+ (* (* -1 (/ (- (log -1) (log x)) (log x))) (/ -1/2 (- (log x)))) (* (- (* 2 (/ 1 (log x))) (/ (log -1) (pow (log x) 2))) (/ 1 (- (log x)))))) into (- (+ (* 1/2 (/ (log -1) (pow (log x) 2))) (* 2 (/ 1 (pow (log x) 2)))) (/ (log -1) (pow (log x) 3))) 0.454 * [backup-simplify]: Simplify (- (+ (* 1/2 (/ (log -1) (pow (log x) 2))) (* 2 (/ 1 (pow (log x) 2)))) (/ (log -1) (pow (log x) 3))) into (- (+ (* 1/2 (/ (log -1) (pow (log x) 2))) (* 2 (/ 1 (pow (log x) 2)))) (/ (log -1) (pow (log x) 3))) 0.456 * [backup-simplify]: Simplify (+ (* (- (+ (* 1/2 (/ (log -1) (pow (log (/ 1 x)) 2))) (* 2 (/ 1 (pow (log (/ 1 x)) 2)))) (/ (log -1) (pow (log (/ 1 x)) 3))) (pow (/ 1 x) 2)) (+ (* (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (/ 1 x)) (* -1 (/ (- (log -1) (log (/ 1 x))) (log (/ 1 x)))))) into (- (+ (* 2 (/ 1 (* (pow (log (/ 1 x)) 2) (pow x 2)))) (+ (* 2 (/ 1 (* (log (/ 1 x)) x))) (+ (* 1/2 (/ (log -1) (* (pow (log (/ 1 x)) 2) (pow x 2)))) 1))) (+ (/ (log -1) (* (pow (log (/ 1 x)) 3) (pow x 2))) (+ (/ (log -1) (log (/ 1 x))) (/ (log -1) (* (pow (log (/ 1 x)) 2) x))))) 0.456 * [backup-simplify]: Simplify (/ (log (- 1 (/ 1 (- x)))) (log1p (/ 1 (- x)))) into (/ (log (+ (/ 1 x) 1)) (log1p (/ -1 x))) 0.456 * [approximate]: Taking taylor expansion of (/ (log (+ (/ 1 x) 1)) (log1p (/ -1 x))) in (x) around 0 0.456 * [taylor]: Taking taylor expansion of (/ (log (+ (/ 1 x) 1)) (log1p (/ -1 x))) in x 0.456 * [taylor]: Taking taylor expansion of (log (+ (/ 1 x) 1)) in x 0.456 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 0.456 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.456 * [taylor]: Taking taylor expansion of x in x 0.456 * [backup-simplify]: Simplify 0 into 0 0.456 * [backup-simplify]: Simplify 1 into 1 0.457 * [backup-simplify]: Simplify (/ 1 1) into 1 0.457 * [taylor]: Taking taylor expansion of 1 in x 0.457 * [backup-simplify]: Simplify 1 into 1 0.457 * [backup-simplify]: Simplify (+ 1 0) into 1 0.457 * [backup-simplify]: Simplify (log 1) into 0 0.457 * [taylor]: Taking taylor expansion of (log1p (/ -1 x)) in x 0.457 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 x))) 0.457 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 x)) in x 0.457 * [taylor]: Taking taylor expansion of 1 in x 0.457 * [backup-simplify]: Simplify 1 into 1 0.457 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.457 * [taylor]: Taking taylor expansion of -1 in x 0.457 * [backup-simplify]: Simplify -1 into -1 0.457 * [taylor]: Taking taylor expansion of x in x 0.457 * [backup-simplify]: Simplify 0 into 0 0.457 * [backup-simplify]: Simplify 1 into 1 0.458 * [backup-simplify]: Simplify (/ -1 1) into -1 0.458 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.458 * [backup-simplify]: Simplify (log -1) into (log -1) 0.459 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 0.459 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 0.459 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 0.460 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 0.460 * [backup-simplify]: Simplify (/ (- (log x)) (- (log -1) (log x))) into (* -1 (/ (log x) (- (log -1) (log x)))) 0.460 * [taylor]: Taking taylor expansion of (/ (log (+ (/ 1 x) 1)) (log1p (/ -1 x))) in x 0.460 * [taylor]: Taking taylor expansion of (log (+ (/ 1 x) 1)) in x 0.460 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 0.460 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.460 * [taylor]: Taking taylor expansion of x in x 0.460 * [backup-simplify]: Simplify 0 into 0 0.460 * [backup-simplify]: Simplify 1 into 1 0.461 * [backup-simplify]: Simplify (/ 1 1) into 1 0.461 * [taylor]: Taking taylor expansion of 1 in x 0.461 * [backup-simplify]: Simplify 1 into 1 0.461 * [backup-simplify]: Simplify (+ 1 0) into 1 0.461 * [backup-simplify]: Simplify (log 1) into 0 0.461 * [taylor]: Taking taylor expansion of (log1p (/ -1 x)) in x 0.461 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 x))) 0.461 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 x)) in x 0.461 * [taylor]: Taking taylor expansion of 1 in x 0.461 * [backup-simplify]: Simplify 1 into 1 0.461 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.461 * [taylor]: Taking taylor expansion of -1 in x 0.461 * [backup-simplify]: Simplify -1 into -1 0.461 * [taylor]: Taking taylor expansion of x in x 0.461 * [backup-simplify]: Simplify 0 into 0 0.461 * [backup-simplify]: Simplify 1 into 1 0.462 * [backup-simplify]: Simplify (/ -1 1) into -1 0.462 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.462 * [backup-simplify]: Simplify (log -1) into (log -1) 0.462 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 0.463 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 0.463 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 0.464 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 0.464 * [backup-simplify]: Simplify (/ (- (log x)) (- (log -1) (log x))) into (* -1 (/ (log x) (- (log -1) (log x)))) 0.464 * [backup-simplify]: Simplify (* -1 (/ (log x) (- (log -1) (log x)))) into (* -1 (/ (log x) (- (log -1) (log x)))) 0.465 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.465 * [backup-simplify]: Simplify (+ 0 1) into 1 0.466 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.466 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 0.467 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.467 * [backup-simplify]: Simplify (+ 1 0) into 1 0.468 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 0.468 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 0.469 * [backup-simplify]: Simplify (- (/ 1 (- (log -1) (log x))) (+ (* (* -1 (/ (log x) (- (log -1) (log x)))) (/ -1 (- (log -1) (log x)))))) into (- (/ 1 (- (log -1) (log x))) (/ (log x) (pow (- (log -1) (log x)) 2))) 0.470 * [backup-simplify]: Simplify (- (/ 1 (- (log -1) (log x))) (/ (log x) (pow (- (log -1) (log x)) 2))) into (- (/ 1 (- (log -1) (log x))) (/ (log x) (pow (- (log -1) (log x)) 2))) 0.471 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.471 * [backup-simplify]: Simplify (+ 0 0) into 0 0.472 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.473 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 0.474 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.474 * [backup-simplify]: Simplify (+ 0 0) into 0 0.476 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 0.476 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 0.477 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 0.479 * [backup-simplify]: Simplify (- (/ -1/2 (- (log -1) (log x))) (+ (* (* -1 (/ (log x) (- (log -1) (log x)))) (/ -1/2 (- (log -1) (log x)))) (* (- (/ 1 (- (log -1) (log x))) (/ (log x) (pow (- (log -1) (log x)) 2))) (/ -1 (- (log -1) (log x)))))) into (- (/ 1 (pow (- (log -1) (log x)) 2)) (+ (* 1/2 (/ 1 (- (log -1) (log x)))) (+ (/ (log x) (pow (- (log -1) (log x)) 3)) (* 1/2 (/ (log x) (pow (- (log -1) (log x)) 2)))))) 0.480 * [backup-simplify]: Simplify (- (/ 1 (pow (- (log -1) (log x)) 2)) (+ (* 1/2 (/ 1 (- (log -1) (log x)))) (+ (/ (log x) (pow (- (log -1) (log x)) 3)) (* 1/2 (/ (log x) (pow (- (log -1) (log x)) 2)))))) into (- (/ 1 (pow (- (log -1) (log x)) 2)) (+ (* 1/2 (/ 1 (- (log -1) (log x)))) (+ (/ (log x) (pow (- (log -1) (log x)) 3)) (* 1/2 (/ (log x) (pow (- (log -1) (log x)) 2)))))) 0.483 * [backup-simplify]: Simplify (+ (* (- (/ 1 (pow (- (log -1) (log (/ 1 (- x)))) 2)) (+ (* 1/2 (/ 1 (- (log -1) (log (/ 1 (- x)))))) (+ (/ (log (/ 1 (- x))) (pow (- (log -1) (log (/ 1 (- x)))) 3)) (* 1/2 (/ (log (/ 1 (- x))) (pow (- (log -1) (log (/ 1 (- x)))) 2)))))) (pow (/ 1 (- x)) 2)) (+ (* (- (/ 1 (- (log -1) (log (/ 1 (- x))))) (/ (log (/ 1 (- x))) (pow (- (log -1) (log (/ 1 (- x)))) 2))) (/ 1 (- x))) (* -1 (/ (log (/ 1 (- x))) (- (log -1) (log (/ 1 (- x)))))))) into (- (+ (/ (log (/ -1 x)) (* x (pow (- (log -1) (log (/ -1 x))) 2))) (/ 1 (* (pow x 2) (pow (- (log -1) (log (/ -1 x))) 2)))) (+ (/ (log (/ -1 x)) (- (log -1) (log (/ -1 x)))) (+ (/ (log (/ -1 x)) (* (pow x 2) (pow (- (log -1) (log (/ -1 x))) 3))) (+ (/ 1 (* x (- (log -1) (log (/ -1 x))))) (+ (* 1/2 (/ (log (/ -1 x)) (* (pow x 2) (pow (- (log -1) (log (/ -1 x))) 2)))) (* 1/2 (/ 1 (* (pow x 2) (- (log -1) (log (/ -1 x))))))))))) 0.483 * * * [progress]: simplifying candidates 0.483 * * * * [progress]: [ 1 / 64 ] simplifiying candidate # 0.483 * * * * [progress]: [ 2 / 64 ] simplifiying candidate # 0.483 * * * * [progress]: [ 3 / 64 ] simplifiying candidate # 0.483 * * * * [progress]: [ 4 / 64 ] simplifiying candidate # 0.483 * * * * [progress]: [ 5 / 64 ] simplifiying candidate # 0.483 * * * * [progress]: [ 6 / 64 ] simplifiying candidate # 0.483 * * * * [progress]: [ 7 / 64 ] simplifiying candidate # 0.483 * * * * [progress]: [ 8 / 64 ] simplifiying candidate # 0.483 * * * * [progress]: [ 9 / 64 ] simplifiying candidate # 0.484 * * * * [progress]: [ 10 / 64 ] simplifiying candidate # 0.484 * * * * [progress]: [ 11 / 64 ] simplifiying candidate # 0.484 * * * * [progress]: [ 12 / 64 ] simplifiying candidate # 0.484 * * * * [progress]: [ 13 / 64 ] simplifiying candidate # 0.484 * * * * [progress]: [ 14 / 64 ] simplifiying candidate # 0.484 * * * * [progress]: [ 15 / 64 ] simplifiying candidate # 0.484 * * * * [progress]: [ 16 / 64 ] simplifiying candidate # 0.484 * * * * [progress]: [ 17 / 64 ] simplifiying candidate # 0.484 * * * * [progress]: [ 18 / 64 ] simplifiying candidate # 0.484 * * * * [progress]: [ 19 / 64 ] simplifiying candidate # 0.484 * * * * [progress]: [ 20 / 64 ] simplifiying candidate # 0.484 * * * * [progress]: [ 21 / 64 ] simplifiying candidate # 0.484 * * * * [progress]: [ 22 / 64 ] simplifiying candidate #real (real->posit16 (log (- 1 x)))) (log1p x)))> 0.484 * * * * [progress]: [ 23 / 64 ] simplifiying candidate # 0.484 * * * * [progress]: [ 24 / 64 ] simplifiying candidate # 0.484 * * * * [progress]: [ 25 / 64 ] simplifiying candidate # 0.484 * * * * [progress]: [ 26 / 64 ] simplifiying candidate # 0.484 * * * * [progress]: [ 27 / 64 ] simplifiying candidate # 0.484 * * * * [progress]: [ 28 / 64 ] simplifiying candidate # 0.484 * * * * [progress]: [ 29 / 64 ] simplifiying candidate # 0.484 * * * * [progress]: [ 30 / 64 ] simplifiying candidate # 0.484 * * * * [progress]: [ 31 / 64 ] simplifiying candidate # 0.484 * * * * [progress]: [ 32 / 64 ] simplifiying candidate # 0.484 * * * * [progress]: [ 33 / 64 ] simplifiying candidate # 0.484 * * * * [progress]: [ 34 / 64 ] simplifiying candidate # 0.484 * * * * [progress]: [ 35 / 64 ] simplifiying candidate # 0.484 * * * * [progress]: [ 36 / 64 ] simplifiying candidate # 0.485 * * * * [progress]: [ 37 / 64 ] simplifiying candidate # 0.485 * * * * [progress]: [ 38 / 64 ] simplifiying candidate # 0.485 * * * * [progress]: [ 39 / 64 ] simplifiying candidate # 0.485 * * * * [progress]: [ 40 / 64 ] simplifiying candidate # 0.485 * * * * [progress]: [ 41 / 64 ] simplifiying candidate # 0.485 * * * * [progress]: [ 42 / 64 ] simplifiying candidate # 0.485 * * * * [progress]: [ 43 / 64 ] simplifiying candidate # 0.485 * * * * [progress]: [ 44 / 64 ] simplifiying candidate # 0.485 * * * * [progress]: [ 45 / 64 ] simplifiying candidate # 0.485 * * * * [progress]: [ 46 / 64 ] simplifiying candidate # 0.485 * * * * [progress]: [ 47 / 64 ] simplifiying candidate # 0.485 * * * * [progress]: [ 48 / 64 ] simplifiying candidate # 0.485 * * * * [progress]: [ 49 / 64 ] simplifiying candidate # 0.485 * * * * [progress]: [ 50 / 64 ] simplifiying candidate # 0.485 * * * * [progress]: [ 51 / 64 ] simplifiying candidate # 0.485 * * * * [progress]: [ 52 / 64 ] simplifiying candidate # 0.485 * * * * [progress]: [ 53 / 64 ] simplifiying candidate # 0.485 * * * * [progress]: [ 54 / 64 ] simplifiying candidate # 0.485 * * * * [progress]: [ 55 / 64 ] simplifiying candidate # 0.485 * * * * [progress]: [ 56 / 64 ] simplifiying candidate # 0.485 * * * * [progress]: [ 57 / 64 ] simplifiying candidate # 0.485 * * * * [progress]: [ 58 / 64 ] simplifiying candidate #real (real->posit16 (/ (log (- 1 x)) (log1p x)))))> 0.485 * * * * [progress]: [ 59 / 64 ] simplifiying candidate # 0.485 * * * * [progress]: [ 60 / 64 ] simplifiying candidate # 0.485 * * * * [progress]: [ 61 / 64 ] simplifiying candidate # 0.485 * * * * [progress]: [ 62 / 64 ] simplifiying candidate # 0.485 * * * * [progress]: [ 63 / 64 ] simplifiying candidate # 0.486 * * * * [progress]: [ 64 / 64 ] simplifiying candidate # 0.486 * [simplify]: Simplifying: (expm1 (log (- 1 x))) (log1p (log (- 1 x))) (log (* (cbrt (- 1 x)) (cbrt (- 1 x)))) (log (cbrt (- 1 x))) (log (sqrt (- 1 x))) (log (sqrt (- 1 x))) (log 1) (log (- 1 x)) (log (+ (sqrt 1) (sqrt x))) (log (- (sqrt 1) (sqrt x))) (log (+ 1 (sqrt x))) (log (- 1 (sqrt x))) (log 1) (log (- 1 x)) (log (- (pow 1 3) (pow x 3))) (log (+ (* 1 1) (+ (* x x) (* 1 x)))) (log (- (* 1 1) (* x x))) (log (+ 1 x)) (log (- 1 x)) (log (log (- 1 x))) (exp (log (- 1 x))) (* (cbrt (log (- 1 x))) (cbrt (log (- 1 x)))) (cbrt (log (- 1 x))) (* (* (log (- 1 x)) (log (- 1 x))) (log (- 1 x))) (sqrt (log (- 1 x))) (sqrt (log (- 1 x))) (real->posit16 (log (- 1 x))) (expm1 (/ (log (- 1 x)) (log1p x))) (log1p (/ (log (- 1 x)) (log1p x))) (- (log (log (- 1 x))) (log (log1p x))) (log (/ (log (- 1 x)) (log1p x))) (exp (/ (log (- 1 x)) (log1p x))) (/ (* (* (log (- 1 x)) (log (- 1 x))) (log (- 1 x))) (* (* (log1p x) (log1p x)) (log1p x))) (* (cbrt (/ (log (- 1 x)) (log1p x))) (cbrt (/ (log (- 1 x)) (log1p x)))) (cbrt (/ (log (- 1 x)) (log1p x))) (* (* (/ (log (- 1 x)) (log1p x)) (/ (log (- 1 x)) (log1p x))) (/ (log (- 1 x)) (log1p x))) (sqrt (/ (log (- 1 x)) (log1p x))) (sqrt (/ (log (- 1 x)) (log1p x))) (- (log (- 1 x))) (- (log1p x)) (/ (log (- (pow 1 3) (pow x 3))) (log1p x)) (/ (log (+ (* 1 1) (+ (* x x) (* 1 x)))) (log1p x)) (/ (log (- (* 1 1) (* x x))) (log1p x)) (/ (log (+ 1 x)) (log1p x)) (/ 1 (* (cbrt (log1p x)) (cbrt (log1p x)))) (/ (log (- 1 x)) (cbrt (log1p x))) (/ 1 (sqrt (log1p x))) (/ (log (- 1 x)) (sqrt (log1p x))) (/ 1 1) (/ (log (- 1 x)) (log1p x)) (/ (* (cbrt (log (- 1 x))) (cbrt (log (- 1 x)))) (* (cbrt (log1p x)) (cbrt (log1p x)))) (/ (cbrt (log (- 1 x))) (cbrt (log1p x))) (/ (* (cbrt (log (- 1 x))) (cbrt (log (- 1 x)))) (sqrt (log1p x))) (/ (cbrt (log (- 1 x))) (sqrt (log1p x))) (/ (* (cbrt (log (- 1 x))) (cbrt (log (- 1 x)))) 1) (/ (cbrt (log (- 1 x))) (log1p x)) (/ (sqrt (log (- 1 x))) (* (cbrt (log1p x)) (cbrt (log1p x)))) (/ (sqrt (log (- 1 x))) (cbrt (log1p x))) (/ (sqrt (log (- 1 x))) (sqrt (log1p x))) (/ (sqrt (log (- 1 x))) (sqrt (log1p x))) (/ (sqrt (log (- 1 x))) 1) (/ (sqrt (log (- 1 x))) (log1p x)) (/ 1 (* (cbrt (log1p x)) (cbrt (log1p x)))) (/ (log (- 1 x)) (cbrt (log1p x))) (/ 1 (sqrt (log1p x))) (/ (log (- 1 x)) (sqrt (log1p x))) (/ 1 1) (/ (log (- 1 x)) (log1p x)) (/ 1 (log1p x)) (/ (log1p x) (log (- 1 x))) (/ (log (- 1 x)) (* (cbrt (log1p x)) (cbrt (log1p x)))) (/ (log (- 1 x)) (sqrt (log1p x))) (/ (log (- 1 x)) 1) (/ (log1p x) (log (- 1 x))) (/ (log1p x) (cbrt (log (- 1 x)))) (/ (log1p x) (sqrt (log (- 1 x)))) (/ (log1p x) (log (- 1 x))) (real->posit16 (/ (log (- 1 x)) (log1p x))) (- (+ x (+ (* 1/3 (pow x 3)) (* 1/2 (pow x 2))))) (- (log -1) (+ (log (/ 1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 x)))) (- (+ (log (/ -1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 x)))) (- (+ x (+ (* 1/2 (pow x 2)) 1))) (- (+ (* 2 (/ 1 (* (pow (log (/ 1 x)) 2) (pow x 2)))) (+ (* 2 (/ 1 (* (log (/ 1 x)) x))) (+ (* 1/2 (/ (log -1) (* (pow (log (/ 1 x)) 2) (pow x 2)))) 1))) (+ (/ (log -1) (* (pow (log (/ 1 x)) 3) (pow x 2))) (+ (/ (log -1) (log (/ 1 x))) (/ (log -1) (* (pow (log (/ 1 x)) 2) x))))) (- (+ (/ (log (/ -1 x)) (* x (pow (- (log -1) (log (/ -1 x))) 2))) (/ 1 (* (pow x 2) (pow (- (log -1) (log (/ -1 x))) 2)))) (+ (/ (log (/ -1 x)) (- (log -1) (log (/ -1 x)))) (+ (/ (log (/ -1 x)) (* (pow x 2) (pow (- (log -1) (log (/ -1 x))) 3))) (+ (/ 1 (* x (- (log -1) (log (/ -1 x))))) (+ (* 1/2 (/ (log (/ -1 x)) (* (pow x 2) (pow (- (log -1) (log (/ -1 x))) 2)))) (* 1/2 (/ 1 (* (pow x 2) (- (log -1) (log (/ -1 x))))))))))) 0.487 * * [simplify]: iteration 0: 163 enodes 0.532 * * [simplify]: iteration 1: 383 enodes 0.670 * * [simplify]: iteration 2: 1105 enodes 0.953 * * [simplify]: iteration 3: 2006 enodes 1.337 * * [simplify]: iteration complete: 2006 enodes 1.337 * * [simplify]: Extracting #0: cost 63 inf + 0 1.338 * * [simplify]: Extracting #1: cost 229 inf + 2 1.340 * * [simplify]: Extracting #2: cost 443 inf + 2310 1.343 * * [simplify]: Extracting #3: cost 542 inf + 21791 1.356 * * [simplify]: Extracting #4: cost 238 inf + 102569 1.386 * * [simplify]: Extracting #5: cost 89 inf + 157473 1.448 * * [simplify]: Extracting #6: cost 18 inf + 189043 1.510 * * [simplify]: Extracting #7: cost 4 inf + 190911 1.556 * * [simplify]: Extracting #8: cost 0 inf + 192285 1.608 * [simplify]: Simplified to: (- x) (log1p (log (- 1 x))) (log (* (cbrt (- 1 x)) (cbrt (- 1 x)))) (log (cbrt (- 1 x))) (log (sqrt (- 1 x))) (log (sqrt (- 1 x))) 0 (log (- 1 x)) (log1p (sqrt x)) (log (- 1 (sqrt x))) (log1p (sqrt x)) (log (- 1 (sqrt x))) 0 (log (- 1 x)) (log (- 1 (* (* x x) x))) (log1p (fma x x x)) (log (- 1 (* x x))) (log1p x) (log (- 1 x)) (log (log (- 1 x))) (- 1 x) (* (cbrt (log (- 1 x))) (cbrt (log (- 1 x)))) (cbrt (log (- 1 x))) (* (* (log (- 1 x)) (log (- 1 x))) (log (- 1 x))) (sqrt (log (- 1 x))) (sqrt (log (- 1 x))) (real->posit16 (log (- 1 x))) (expm1 (/ (log (- 1 x)) (log1p x))) (log1p (/ (log (- 1 x)) (log1p x))) (- (log (log (- 1 x))) (log (log1p x))) (log (/ (log (- 1 x)) (log1p x))) (exp (/ (log (- 1 x)) (log1p x))) (* (/ (log (- 1 x)) (log1p x)) (* (/ (log (- 1 x)) (log1p x)) (/ (log (- 1 x)) (log1p x)))) (* (cbrt (/ (log (- 1 x)) (log1p x))) (cbrt (/ (log (- 1 x)) (log1p x)))) (cbrt (/ (log (- 1 x)) (log1p x))) (* (* (/ (log (- 1 x)) (log1p x)) (/ (log (- 1 x)) (log1p x))) (/ (log (- 1 x)) (log1p x))) (sqrt (/ (log (- 1 x)) (log1p x))) (sqrt (/ (log (- 1 x)) (log1p x))) (- (log (- 1 x))) (- (log1p x)) (/ (log (- 1 (* (* x x) x))) (log1p x)) (/ (log1p (fma x x x)) (log1p x)) (/ (log (- 1 (* x x))) (log1p x)) (/ (log1p x) (log1p x)) (/ (/ 1 (cbrt (log1p x))) (cbrt (log1p x))) (/ (log (- 1 x)) (cbrt (log1p x))) (/ 1 (sqrt (log1p x))) (/ (log (- 1 x)) (sqrt (log1p x))) 1 (/ (log (- 1 x)) (log1p x)) (* (/ (cbrt (log (- 1 x))) (cbrt (log1p x))) (/ (cbrt (log (- 1 x))) (cbrt (log1p x)))) (/ (cbrt (log (- 1 x))) (cbrt (log1p x))) (* (/ (cbrt (log (- 1 x))) (sqrt (log1p x))) (cbrt (log (- 1 x)))) (/ (cbrt (log (- 1 x))) (sqrt (log1p x))) (* (cbrt (log (- 1 x))) (cbrt (log (- 1 x)))) (/ (cbrt (log (- 1 x))) (log1p x)) (/ (sqrt (log (- 1 x))) (* (cbrt (log1p x)) (cbrt (log1p x)))) (/ (sqrt (log (- 1 x))) (cbrt (log1p x))) (/ (sqrt (log (- 1 x))) (sqrt (log1p x))) (/ (sqrt (log (- 1 x))) (sqrt (log1p x))) (sqrt (log (- 1 x))) (/ (sqrt (log (- 1 x))) (log1p x)) (/ (/ 1 (cbrt (log1p x))) (cbrt (log1p x))) (/ (log (- 1 x)) (cbrt (log1p x))) (/ 1 (sqrt (log1p x))) (/ (log (- 1 x)) (sqrt (log1p x))) 1 (/ (log (- 1 x)) (log1p x)) (/ 1 (log1p x)) (/ (log1p x) (log (- 1 x))) (/ (log (- 1 x)) (* (cbrt (log1p x)) (cbrt (log1p x)))) (/ (log (- 1 x)) (sqrt (log1p x))) (log (- 1 x)) (/ (log1p x) (log (- 1 x))) (/ (log1p x) (cbrt (log (- 1 x)))) (/ (log1p x) (sqrt (log (- 1 x)))) (/ (log1p x) (log (- 1 x))) (real->posit16 (/ (log (- 1 x)) (log1p x))) (- (+ x (fma (* x x) 1/2 (* (* 1/3 x) (* x x))))) (- (log -1) (- (+ (/ 1/2 (* x x)) (/ 1 x)) (log x))) (- (- (log (/ -1 x))) (+ (/ 1/2 (* x x)) (/ 1 x))) (- (+ x (fma 1/2 (* x x) 1))) (- (+ (+ (fma (/ (log -1) (* (* (log x) x) (* (log x) x))) 1/2 1) (/ (/ 2 (- (log x))) x)) (- (/ 2 (* (* (log x) x) (* (log x) x))) (/ (log -1) (* (* (* (log x) x) (* (log x) x)) (- (log x)))))) (+ (/ (log -1) (- (log x))) (/ (/ (log -1) (* (log x) (log x))) x))) (+ (/ (/ (- (log -1) (log x)) x) (* (+ 0 (log x)) (+ 0 (log x)))) (- (- (/ (/ 1 (* x x)) (* (+ 0 (log x)) (+ 0 (log x)))) (+ (fma 1/2 (/ (/ (- (log -1) (log x)) (* x x)) (* (+ 0 (log x)) (+ 0 (log x)))) (/ 1 (* (+ 0 (log x)) x))) (+ (/ 1/2 (* (* x x) (+ 0 (log x)))) (/ (/ (- (log -1) (log x)) (* x x)) (* (+ 0 (log x)) (* (+ 0 (log x)) (+ 0 (log x)))))))) (/ (- (log -1) (log x)) (+ 0 (log x))))) 1.611 * * * [progress]: adding candidates to table 1.882 * * [progress]: iteration 2 / 4 1.882 * * * [progress]: picking best candidate 1.888 * * * * [pick]: Picked # 1.888 * * * [progress]: localizing error 1.906 * * * [progress]: generating rewritten candidates 1.906 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 1.914 * * * [progress]: generating series expansions 1.914 * * * * [progress]: [ 1 / 1 ] generating series at (2) 1.914 * [backup-simplify]: Simplify (/ (log1p (- x)) (log1p x)) into (/ (log1p (- x)) (log1p x)) 1.914 * [approximate]: Taking taylor expansion of (/ (log1p (- x)) (log1p x)) in (x) around 0 1.914 * [taylor]: Taking taylor expansion of (/ (log1p (- x)) (log1p x)) in x 1.914 * [taylor]: Taking taylor expansion of (log1p (- x)) in x 1.914 * [taylor]: Rewrote expression to (log (+ 1 (- x))) 1.914 * [taylor]: Taking taylor expansion of (+ 1 (- x)) in x 1.914 * [taylor]: Taking taylor expansion of 1 in x 1.914 * [backup-simplify]: Simplify 1 into 1 1.914 * [taylor]: Taking taylor expansion of (- x) in x 1.914 * [taylor]: Taking taylor expansion of x in x 1.914 * [backup-simplify]: Simplify 0 into 0 1.914 * [backup-simplify]: Simplify 1 into 1 1.915 * [backup-simplify]: Simplify (- 0) into 0 1.915 * [backup-simplify]: Simplify (+ 1 0) into 1 1.915 * [backup-simplify]: Simplify (log 1) into 0 1.915 * [taylor]: Taking taylor expansion of (log1p x) in x 1.915 * [taylor]: Rewrote expression to (log (+ 1 x)) 1.916 * [taylor]: Taking taylor expansion of (+ 1 x) in x 1.916 * [taylor]: Taking taylor expansion of 1 in x 1.916 * [backup-simplify]: Simplify 1 into 1 1.916 * [taylor]: Taking taylor expansion of x in x 1.916 * [backup-simplify]: Simplify 0 into 0 1.916 * [backup-simplify]: Simplify 1 into 1 1.916 * [backup-simplify]: Simplify (+ 1 0) into 1 1.916 * [backup-simplify]: Simplify (log 1) into 0 1.916 * [backup-simplify]: Simplify (- 1) into -1 1.917 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.917 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 1.918 * [backup-simplify]: Simplify (+ 0 1) into 1 1.919 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1.920 * [backup-simplify]: Simplify (/ -1 1) into -1 1.920 * [taylor]: Taking taylor expansion of (/ (log1p (- x)) (log1p x)) in x 1.920 * [taylor]: Taking taylor expansion of (log1p (- x)) in x 1.920 * [taylor]: Rewrote expression to (log (+ 1 (- x))) 1.920 * [taylor]: Taking taylor expansion of (+ 1 (- x)) in x 1.920 * [taylor]: Taking taylor expansion of 1 in x 1.920 * [backup-simplify]: Simplify 1 into 1 1.920 * [taylor]: Taking taylor expansion of (- x) in x 1.920 * [taylor]: Taking taylor expansion of x in x 1.920 * [backup-simplify]: Simplify 0 into 0 1.920 * [backup-simplify]: Simplify 1 into 1 1.920 * [backup-simplify]: Simplify (- 0) into 0 1.921 * [backup-simplify]: Simplify (+ 1 0) into 1 1.921 * [backup-simplify]: Simplify (log 1) into 0 1.921 * [taylor]: Taking taylor expansion of (log1p x) in x 1.921 * [taylor]: Rewrote expression to (log (+ 1 x)) 1.921 * [taylor]: Taking taylor expansion of (+ 1 x) in x 1.921 * [taylor]: Taking taylor expansion of 1 in x 1.921 * [backup-simplify]: Simplify 1 into 1 1.921 * [taylor]: Taking taylor expansion of x in x 1.921 * [backup-simplify]: Simplify 0 into 0 1.921 * [backup-simplify]: Simplify 1 into 1 1.922 * [backup-simplify]: Simplify (+ 1 0) into 1 1.922 * [backup-simplify]: Simplify (log 1) into 0 1.922 * [backup-simplify]: Simplify (- 1) into -1 1.923 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.924 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 1.924 * [backup-simplify]: Simplify (+ 0 1) into 1 1.925 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1.926 * [backup-simplify]: Simplify (/ -1 1) into -1 1.926 * [backup-simplify]: Simplify -1 into -1 1.926 * [backup-simplify]: Simplify (- 0) into 0 1.927 * [backup-simplify]: Simplify (+ 0 0) into 0 1.929 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 1.930 * [backup-simplify]: Simplify (+ 0 0) into 0 1.932 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 1.933 * [backup-simplify]: Simplify (- (/ -1/2 1) (+ (* -1 (/ -1/2 1)))) into -1 1.933 * [backup-simplify]: Simplify -1 into -1 1.933 * [backup-simplify]: Simplify (- 0) into 0 1.934 * [backup-simplify]: Simplify (+ 0 0) into 0 1.939 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 -1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 -1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into -1/3 1.939 * [backup-simplify]: Simplify (+ 0 0) into 0 1.944 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 1.945 * [backup-simplify]: Simplify (- (/ -1/3 1) (+ (* -1 (/ 1/3 1)) (* -1 (/ -1/2 1)))) into -1/2 1.945 * [backup-simplify]: Simplify -1/2 into -1/2 1.946 * [backup-simplify]: Simplify (+ (* -1/2 (pow x 2)) (+ (* -1 x) -1)) into (- (+ x (+ (* 1/2 (pow x 2)) 1))) 1.946 * [backup-simplify]: Simplify (/ (log1p (- (/ 1 x))) (log1p (/ 1 x))) into (/ (log1p (- (/ 1 x))) (log1p (/ 1 x))) 1.946 * [approximate]: Taking taylor expansion of (/ (log1p (- (/ 1 x))) (log1p (/ 1 x))) in (x) around 0 1.946 * [taylor]: Taking taylor expansion of (/ (log1p (- (/ 1 x))) (log1p (/ 1 x))) in x 1.946 * [taylor]: Taking taylor expansion of (log1p (- (/ 1 x))) in x 1.946 * [taylor]: Rewrote expression to (log (+ 1 (- (/ 1 x)))) 1.946 * [taylor]: Taking taylor expansion of (+ 1 (- (/ 1 x))) in x 1.946 * [taylor]: Taking taylor expansion of 1 in x 1.946 * [backup-simplify]: Simplify 1 into 1 1.946 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 1.946 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.946 * [taylor]: Taking taylor expansion of x in x 1.946 * [backup-simplify]: Simplify 0 into 0 1.946 * [backup-simplify]: Simplify 1 into 1 1.947 * [backup-simplify]: Simplify (/ 1 1) into 1 1.947 * [backup-simplify]: Simplify (- 1) into -1 1.948 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.948 * [backup-simplify]: Simplify (log -1) into (log -1) 1.948 * [taylor]: Taking taylor expansion of (log1p (/ 1 x)) in x 1.948 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 x))) 1.948 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 x)) in x 1.948 * [taylor]: Taking taylor expansion of 1 in x 1.948 * [backup-simplify]: Simplify 1 into 1 1.948 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.948 * [taylor]: Taking taylor expansion of x in x 1.948 * [backup-simplify]: Simplify 0 into 0 1.948 * [backup-simplify]: Simplify 1 into 1 1.949 * [backup-simplify]: Simplify (/ 1 1) into 1 1.949 * [backup-simplify]: Simplify (+ 0 1) into 1 1.949 * [backup-simplify]: Simplify (log 1) into 0 1.950 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 1.950 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 1.951 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 1.951 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 1.951 * [backup-simplify]: Simplify (/ (- (log -1) (log x)) (- (log x))) into (* -1 (/ (- (log -1) (log x)) (log x))) 1.951 * [taylor]: Taking taylor expansion of (/ (log1p (- (/ 1 x))) (log1p (/ 1 x))) in x 1.951 * [taylor]: Taking taylor expansion of (log1p (- (/ 1 x))) in x 1.951 * [taylor]: Rewrote expression to (log (+ 1 (- (/ 1 x)))) 1.951 * [taylor]: Taking taylor expansion of (+ 1 (- (/ 1 x))) in x 1.952 * [taylor]: Taking taylor expansion of 1 in x 1.952 * [backup-simplify]: Simplify 1 into 1 1.952 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 1.952 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.952 * [taylor]: Taking taylor expansion of x in x 1.952 * [backup-simplify]: Simplify 0 into 0 1.952 * [backup-simplify]: Simplify 1 into 1 1.952 * [backup-simplify]: Simplify (/ 1 1) into 1 1.952 * [backup-simplify]: Simplify (- 1) into -1 1.952 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.953 * [backup-simplify]: Simplify (log -1) into (log -1) 1.953 * [taylor]: Taking taylor expansion of (log1p (/ 1 x)) in x 1.953 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 x))) 1.953 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 x)) in x 1.953 * [taylor]: Taking taylor expansion of 1 in x 1.953 * [backup-simplify]: Simplify 1 into 1 1.953 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.953 * [taylor]: Taking taylor expansion of x in x 1.953 * [backup-simplify]: Simplify 0 into 0 1.953 * [backup-simplify]: Simplify 1 into 1 1.953 * [backup-simplify]: Simplify (/ 1 1) into 1 1.953 * [backup-simplify]: Simplify (+ 0 1) into 1 1.954 * [backup-simplify]: Simplify (log 1) into 0 1.954 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 1.954 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 1.955 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 1.955 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 1.955 * [backup-simplify]: Simplify (/ (- (log -1) (log x)) (- (log x))) into (* -1 (/ (- (log -1) (log x)) (log x))) 1.956 * [backup-simplify]: Simplify (* -1 (/ (- (log -1) (log x)) (log x))) into (* -1 (/ (- (log -1) (log x)) (log x))) 1.956 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.957 * [backup-simplify]: Simplify (- 0) into 0 1.957 * [backup-simplify]: Simplify (+ 1 0) into 1 1.958 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 1.958 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 1.958 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.959 * [backup-simplify]: Simplify (+ 1 0) into 1 1.959 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1.960 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 1.960 * [backup-simplify]: Simplify (- (/ -1 (- (log x))) (+ (* (* -1 (/ (- (log -1) (log x)) (log x))) (/ 1 (- (log x)))))) into (- (* 2 (/ 1 (log x))) (/ (log -1) (pow (log x) 2))) 1.960 * [backup-simplify]: Simplify (- (* 2 (/ 1 (log x))) (/ (log -1) (pow (log x) 2))) into (- (* 2 (/ 1 (log x))) (/ (log -1) (pow (log x) 2))) 1.961 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.961 * [backup-simplify]: Simplify (- 0) into 0 1.961 * [backup-simplify]: Simplify (+ 0 0) into 0 1.963 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 1.964 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 1.964 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.964 * [backup-simplify]: Simplify (+ 0 0) into 0 1.966 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 1.966 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 1.966 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 1.967 * [backup-simplify]: Simplify (- (/ -1/2 (- (log x))) (+ (* (* -1 (/ (- (log -1) (log x)) (log x))) (/ -1/2 (- (log x)))) (* (- (* 2 (/ 1 (log x))) (/ (log -1) (pow (log x) 2))) (/ 1 (- (log x)))))) into (- (+ (* 1/2 (/ (log -1) (pow (log x) 2))) (* 2 (/ 1 (pow (log x) 2)))) (/ (log -1) (pow (log x) 3))) 1.968 * [backup-simplify]: Simplify (- (+ (* 1/2 (/ (log -1) (pow (log x) 2))) (* 2 (/ 1 (pow (log x) 2)))) (/ (log -1) (pow (log x) 3))) into (- (+ (* 1/2 (/ (log -1) (pow (log x) 2))) (* 2 (/ 1 (pow (log x) 2)))) (/ (log -1) (pow (log x) 3))) 1.970 * [backup-simplify]: Simplify (+ (* (- (+ (* 1/2 (/ (log -1) (pow (log (/ 1 x)) 2))) (* 2 (/ 1 (pow (log (/ 1 x)) 2)))) (/ (log -1) (pow (log (/ 1 x)) 3))) (pow (/ 1 x) 2)) (+ (* (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (/ 1 x)) (* -1 (/ (- (log -1) (log (/ 1 x))) (log (/ 1 x)))))) into (- (+ (* 2 (/ 1 (* (pow (log (/ 1 x)) 2) (pow x 2)))) (+ (* 2 (/ 1 (* (log (/ 1 x)) x))) (+ (* 1/2 (/ (log -1) (* (pow (log (/ 1 x)) 2) (pow x 2)))) 1))) (+ (/ (log -1) (* (pow (log (/ 1 x)) 3) (pow x 2))) (+ (/ (log -1) (log (/ 1 x))) (/ (log -1) (* (pow (log (/ 1 x)) 2) x))))) 1.970 * [backup-simplify]: Simplify (/ (log1p (- (/ 1 (- x)))) (log1p (/ 1 (- x)))) into (/ (log1p (/ 1 x)) (log1p (/ -1 x))) 1.970 * [approximate]: Taking taylor expansion of (/ (log1p (/ 1 x)) (log1p (/ -1 x))) in (x) around 0 1.970 * [taylor]: Taking taylor expansion of (/ (log1p (/ 1 x)) (log1p (/ -1 x))) in x 1.970 * [taylor]: Taking taylor expansion of (log1p (/ 1 x)) in x 1.970 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 x))) 1.970 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 x)) in x 1.970 * [taylor]: Taking taylor expansion of 1 in x 1.970 * [backup-simplify]: Simplify 1 into 1 1.970 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.970 * [taylor]: Taking taylor expansion of x in x 1.970 * [backup-simplify]: Simplify 0 into 0 1.970 * [backup-simplify]: Simplify 1 into 1 1.970 * [backup-simplify]: Simplify (/ 1 1) into 1 1.971 * [backup-simplify]: Simplify (+ 0 1) into 1 1.971 * [backup-simplify]: Simplify (log 1) into 0 1.971 * [taylor]: Taking taylor expansion of (log1p (/ -1 x)) in x 1.971 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 x))) 1.971 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 x)) in x 1.971 * [taylor]: Taking taylor expansion of 1 in x 1.971 * [backup-simplify]: Simplify 1 into 1 1.971 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.971 * [taylor]: Taking taylor expansion of -1 in x 1.971 * [backup-simplify]: Simplify -1 into -1 1.971 * [taylor]: Taking taylor expansion of x in x 1.971 * [backup-simplify]: Simplify 0 into 0 1.971 * [backup-simplify]: Simplify 1 into 1 1.971 * [backup-simplify]: Simplify (/ -1 1) into -1 1.972 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.972 * [backup-simplify]: Simplify (log -1) into (log -1) 1.972 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 1.973 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 1.973 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 1.974 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 1.974 * [backup-simplify]: Simplify (/ (- (log x)) (- (log -1) (log x))) into (* -1 (/ (log x) (- (log -1) (log x)))) 1.974 * [taylor]: Taking taylor expansion of (/ (log1p (/ 1 x)) (log1p (/ -1 x))) in x 1.974 * [taylor]: Taking taylor expansion of (log1p (/ 1 x)) in x 1.974 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 x))) 1.974 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 x)) in x 1.974 * [taylor]: Taking taylor expansion of 1 in x 1.974 * [backup-simplify]: Simplify 1 into 1 1.974 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.974 * [taylor]: Taking taylor expansion of x in x 1.974 * [backup-simplify]: Simplify 0 into 0 1.974 * [backup-simplify]: Simplify 1 into 1 1.974 * [backup-simplify]: Simplify (/ 1 1) into 1 1.975 * [backup-simplify]: Simplify (+ 0 1) into 1 1.975 * [backup-simplify]: Simplify (log 1) into 0 1.975 * [taylor]: Taking taylor expansion of (log1p (/ -1 x)) in x 1.975 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 x))) 1.975 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 x)) in x 1.975 * [taylor]: Taking taylor expansion of 1 in x 1.975 * [backup-simplify]: Simplify 1 into 1 1.975 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.975 * [taylor]: Taking taylor expansion of -1 in x 1.975 * [backup-simplify]: Simplify -1 into -1 1.975 * [taylor]: Taking taylor expansion of x in x 1.975 * [backup-simplify]: Simplify 0 into 0 1.975 * [backup-simplify]: Simplify 1 into 1 1.975 * [backup-simplify]: Simplify (/ -1 1) into -1 1.976 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.976 * [backup-simplify]: Simplify (log -1) into (log -1) 1.976 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 1.977 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 1.977 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 1.977 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 1.978 * [backup-simplify]: Simplify (/ (- (log x)) (- (log -1) (log x))) into (* -1 (/ (log x) (- (log -1) (log x)))) 1.978 * [backup-simplify]: Simplify (* -1 (/ (log x) (- (log -1) (log x)))) into (* -1 (/ (log x) (- (log -1) (log x)))) 1.979 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.979 * [backup-simplify]: Simplify (+ 1 0) into 1 1.980 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1.980 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 1.984 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.985 * [backup-simplify]: Simplify (+ 1 0) into 1 1.986 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 1.987 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 1.989 * [backup-simplify]: Simplify (- (/ 1 (- (log -1) (log x))) (+ (* (* -1 (/ (log x) (- (log -1) (log x)))) (/ -1 (- (log -1) (log x)))))) into (- (/ 1 (- (log -1) (log x))) (/ (log x) (pow (- (log -1) (log x)) 2))) 1.990 * [backup-simplify]: Simplify (- (/ 1 (- (log -1) (log x))) (/ (log x) (pow (- (log -1) (log x)) 2))) into (- (/ 1 (- (log -1) (log x))) (/ (log x) (pow (- (log -1) (log x)) 2))) 1.991 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.991 * [backup-simplify]: Simplify (+ 0 0) into 0 1.994 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 1.995 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 1.997 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.997 * [backup-simplify]: Simplify (+ 0 0) into 0 1.999 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 1.999 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 2.000 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 2.002 * [backup-simplify]: Simplify (- (/ -1/2 (- (log -1) (log x))) (+ (* (* -1 (/ (log x) (- (log -1) (log x)))) (/ -1/2 (- (log -1) (log x)))) (* (- (/ 1 (- (log -1) (log x))) (/ (log x) (pow (- (log -1) (log x)) 2))) (/ -1 (- (log -1) (log x)))))) into (- (/ 1 (pow (- (log -1) (log x)) 2)) (+ (* 1/2 (/ 1 (- (log -1) (log x)))) (+ (/ (log x) (pow (- (log -1) (log x)) 3)) (* 1/2 (/ (log x) (pow (- (log -1) (log x)) 2)))))) 2.003 * [backup-simplify]: Simplify (- (/ 1 (pow (- (log -1) (log x)) 2)) (+ (* 1/2 (/ 1 (- (log -1) (log x)))) (+ (/ (log x) (pow (- (log -1) (log x)) 3)) (* 1/2 (/ (log x) (pow (- (log -1) (log x)) 2)))))) into (- (/ 1 (pow (- (log -1) (log x)) 2)) (+ (* 1/2 (/ 1 (- (log -1) (log x)))) (+ (/ (log x) (pow (- (log -1) (log x)) 3)) (* 1/2 (/ (log x) (pow (- (log -1) (log x)) 2)))))) 2.006 * [backup-simplify]: Simplify (+ (* (- (/ 1 (pow (- (log -1) (log (/ 1 (- x)))) 2)) (+ (* 1/2 (/ 1 (- (log -1) (log (/ 1 (- x)))))) (+ (/ (log (/ 1 (- x))) (pow (- (log -1) (log (/ 1 (- x)))) 3)) (* 1/2 (/ (log (/ 1 (- x))) (pow (- (log -1) (log (/ 1 (- x)))) 2)))))) (pow (/ 1 (- x)) 2)) (+ (* (- (/ 1 (- (log -1) (log (/ 1 (- x))))) (/ (log (/ 1 (- x))) (pow (- (log -1) (log (/ 1 (- x)))) 2))) (/ 1 (- x))) (* -1 (/ (log (/ 1 (- x))) (- (log -1) (log (/ 1 (- x)))))))) into (- (+ (/ (log (/ -1 x)) (* x (pow (- (log -1) (log (/ -1 x))) 2))) (/ 1 (* (pow x 2) (pow (- (log -1) (log (/ -1 x))) 2)))) (+ (/ (log (/ -1 x)) (- (log -1) (log (/ -1 x)))) (+ (/ (log (/ -1 x)) (* (pow x 2) (pow (- (log -1) (log (/ -1 x))) 3))) (+ (/ 1 (* x (- (log -1) (log (/ -1 x))))) (+ (* 1/2 (/ (log (/ -1 x)) (* (pow x 2) (pow (- (log -1) (log (/ -1 x))) 2)))) (* 1/2 (/ 1 (* (pow x 2) (- (log -1) (log (/ -1 x))))))))))) 2.006 * * * [progress]: simplifying candidates 2.006 * * * * [progress]: [ 1 / 33 ] simplifiying candidate # 2.006 * * * * [progress]: [ 2 / 33 ] simplifiying candidate # 2.006 * * * * [progress]: [ 3 / 33 ] simplifiying candidate # 2.006 * * * * [progress]: [ 4 / 33 ] simplifiying candidate # 2.006 * * * * [progress]: [ 5 / 33 ] simplifiying candidate # 2.006 * * * * [progress]: [ 6 / 33 ] simplifiying candidate # 2.006 * * * * [progress]: [ 7 / 33 ] simplifiying candidate # 2.006 * * * * [progress]: [ 8 / 33 ] simplifiying candidate # 2.007 * * * * [progress]: [ 9 / 33 ] simplifiying candidate # 2.007 * * * * [progress]: [ 10 / 33 ] simplifiying candidate # 2.007 * * * * [progress]: [ 11 / 33 ] simplifiying candidate # 2.007 * * * * [progress]: [ 12 / 33 ] simplifiying candidate # 2.007 * * * * [progress]: [ 13 / 33 ] simplifiying candidate # 2.007 * * * * [progress]: [ 14 / 33 ] simplifiying candidate # 2.007 * * * * [progress]: [ 15 / 33 ] simplifiying candidate # 2.007 * * * * [progress]: [ 16 / 33 ] simplifiying candidate # 2.007 * * * * [progress]: [ 17 / 33 ] simplifiying candidate # 2.007 * * * * [progress]: [ 18 / 33 ] simplifiying candidate # 2.007 * * * * [progress]: [ 19 / 33 ] simplifiying candidate # 2.007 * * * * [progress]: [ 20 / 33 ] simplifiying candidate # 2.007 * * * * [progress]: [ 21 / 33 ] simplifiying candidate # 2.007 * * * * [progress]: [ 22 / 33 ] simplifiying candidate # 2.007 * * * * [progress]: [ 23 / 33 ] simplifiying candidate # 2.007 * * * * [progress]: [ 24 / 33 ] simplifiying candidate # 2.007 * * * * [progress]: [ 25 / 33 ] simplifiying candidate # 2.007 * * * * [progress]: [ 26 / 33 ] simplifiying candidate # 2.007 * * * * [progress]: [ 27 / 33 ] simplifiying candidate # 2.007 * * * * [progress]: [ 28 / 33 ] simplifiying candidate # 2.007 * * * * [progress]: [ 29 / 33 ] simplifiying candidate # 2.007 * * * * [progress]: [ 30 / 33 ] simplifiying candidate #real (real->posit16 (/ (log1p (- x)) (log1p x)))))> 2.007 * * * * [progress]: [ 31 / 33 ] simplifiying candidate # 2.007 * * * * [progress]: [ 32 / 33 ] simplifiying candidate # 2.007 * * * * [progress]: [ 33 / 33 ] simplifiying candidate # 2.008 * [simplify]: Simplifying: (expm1 (/ (log1p (- x)) (log1p x))) (log1p (/ (log1p (- x)) (log1p x))) (- (log (log1p (- x))) (log (log1p x))) (log (/ (log1p (- x)) (log1p x))) (exp (/ (log1p (- x)) (log1p x))) (/ (* (* (log1p (- x)) (log1p (- x))) (log1p (- x))) (* (* (log1p x) (log1p x)) (log1p x))) (* (cbrt (/ (log1p (- x)) (log1p x))) (cbrt (/ (log1p (- x)) (log1p x)))) (cbrt (/ (log1p (- x)) (log1p x))) (* (* (/ (log1p (- x)) (log1p x)) (/ (log1p (- x)) (log1p x))) (/ (log1p (- x)) (log1p x))) (sqrt (/ (log1p (- x)) (log1p x))) (sqrt (/ (log1p (- x)) (log1p x))) (- (log1p (- x))) (- (log1p x)) (/ (* (cbrt (log1p (- x))) (cbrt (log1p (- x)))) (* (cbrt (log1p x)) (cbrt (log1p x)))) (/ (cbrt (log1p (- x))) (cbrt (log1p x))) (/ (* (cbrt (log1p (- x))) (cbrt (log1p (- x)))) (sqrt (log1p x))) (/ (cbrt (log1p (- x))) (sqrt (log1p x))) (/ (* (cbrt (log1p (- x))) (cbrt (log1p (- x)))) 1) (/ (cbrt (log1p (- x))) (log1p x)) (/ (sqrt (log1p (- x))) (* (cbrt (log1p x)) (cbrt (log1p x)))) (/ (sqrt (log1p (- x))) (cbrt (log1p x))) (/ (sqrt (log1p (- x))) (sqrt (log1p x))) (/ (sqrt (log1p (- x))) (sqrt (log1p x))) (/ (sqrt (log1p (- x))) 1) (/ (sqrt (log1p (- x))) (log1p x)) (/ 1 (* (cbrt (log1p x)) (cbrt (log1p x)))) (/ (log1p (- x)) (cbrt (log1p x))) (/ 1 (sqrt (log1p x))) (/ (log1p (- x)) (sqrt (log1p x))) (/ 1 1) (/ (log1p (- x)) (log1p x)) (/ 1 (log1p x)) (/ (log1p x) (log1p (- x))) (/ (log1p (- x)) (* (cbrt (log1p x)) (cbrt (log1p x)))) (/ (log1p (- x)) (sqrt (log1p x))) (/ (log1p (- x)) 1) (/ (log1p x) (cbrt (log1p (- x)))) (/ (log1p x) (sqrt (log1p (- x)))) (/ (log1p x) (log1p (- x))) (real->posit16 (/ (log1p (- x)) (log1p x))) (- (+ x (+ (* 1/2 (pow x 2)) 1))) (- (+ (* 2 (/ 1 (* (pow (log (/ 1 x)) 2) (pow x 2)))) (+ (* 2 (/ 1 (* (log (/ 1 x)) x))) (+ (* 1/2 (/ (log -1) (* (pow (log (/ 1 x)) 2) (pow x 2)))) 1))) (+ (/ (log -1) (* (pow (log (/ 1 x)) 3) (pow x 2))) (+ (/ (log -1) (log (/ 1 x))) (/ (log -1) (* (pow (log (/ 1 x)) 2) x))))) (- (+ (/ (log (/ -1 x)) (* x (pow (- (log -1) (log (/ -1 x))) 2))) (/ 1 (* (pow x 2) (pow (- (log -1) (log (/ -1 x))) 2)))) (+ (/ (log (/ -1 x)) (- (log -1) (log (/ -1 x)))) (+ (/ (log (/ -1 x)) (* (pow x 2) (pow (- (log -1) (log (/ -1 x))) 3))) (+ (/ 1 (* x (- (log -1) (log (/ -1 x))))) (+ (* 1/2 (/ (log (/ -1 x)) (* (pow x 2) (pow (- (log -1) (log (/ -1 x))) 2)))) (* 1/2 (/ 1 (* (pow x 2) (- (log -1) (log (/ -1 x))))))))))) 2.009 * * [simplify]: iteration 0: 112 enodes 2.036 * * [simplify]: iteration 1: 265 enodes 2.112 * * [simplify]: iteration 2: 883 enodes 2.345 * * [simplify]: iteration 3: 2008 enodes 2.688 * * [simplify]: iteration complete: 2008 enodes 2.688 * * [simplify]: Extracting #0: cost 37 inf + 0 2.689 * * [simplify]: Extracting #1: cost 170 inf + 1 2.690 * * [simplify]: Extracting #2: cost 396 inf + 4 2.692 * * [simplify]: Extracting #3: cost 594 inf + 3106 2.705 * * [simplify]: Extracting #4: cost 433 inf + 56020 2.733 * * [simplify]: Extracting #5: cost 179 inf + 142294 2.770 * * [simplify]: Extracting #6: cost 45 inf + 203361 2.821 * * [simplify]: Extracting #7: cost 2 inf + 222657 2.874 * * [simplify]: Extracting #8: cost 0 inf + 223143 2.949 * [simplify]: Simplified to: (expm1 (/ (log1p (- x)) (log1p x))) (log1p (/ (log1p (- x)) (log1p x))) (log (/ (log1p (- x)) (log1p x))) (log (/ (log1p (- x)) (log1p x))) (exp (/ (log1p (- x)) (log1p x))) (* (* (/ (log1p (- x)) (log1p x)) (/ (log1p (- x)) (log1p x))) (/ (log1p (- x)) (log1p x))) (* (cbrt (/ (log1p (- x)) (log1p x))) (cbrt (/ (log1p (- x)) (log1p x)))) (cbrt (/ (log1p (- x)) (log1p x))) (* (* (/ (log1p (- x)) (log1p x)) (/ (log1p (- x)) (log1p x))) (/ (log1p (- x)) (log1p x))) (sqrt (/ (log1p (- x)) (log1p x))) (sqrt (/ (log1p (- x)) (log1p x))) (- (log1p (- x))) (- (log1p x)) (* (/ (cbrt (log1p (- x))) (cbrt (log1p x))) (/ (cbrt (log1p (- x))) (cbrt (log1p x)))) (/ (cbrt (log1p (- x))) (cbrt (log1p x))) (/ (* (cbrt (log1p (- x))) (cbrt (log1p (- x)))) (sqrt (log1p x))) (/ (cbrt (log1p (- x))) (sqrt (log1p x))) (* (cbrt (log1p (- x))) (cbrt (log1p (- x)))) (/ (cbrt (log1p (- x))) (log1p x)) (/ (/ (sqrt (log1p (- x))) (cbrt (log1p x))) (cbrt (log1p x))) (/ (sqrt (log1p (- x))) (cbrt (log1p x))) (/ (sqrt (log1p (- x))) (sqrt (log1p x))) (/ (sqrt (log1p (- x))) (sqrt (log1p x))) (sqrt (log1p (- x))) (/ (sqrt (log1p (- x))) (log1p x)) (/ (/ 1 (cbrt (log1p x))) (cbrt (log1p x))) (/ (log1p (- x)) (cbrt (log1p x))) (/ 1 (sqrt (log1p x))) (/ (log1p (- x)) (sqrt (log1p x))) 1 (/ (log1p (- x)) (log1p x)) (/ 1 (log1p x)) (/ (log1p x) (log1p (- x))) (/ (/ (log1p (- x)) (cbrt (log1p x))) (cbrt (log1p x))) (/ (log1p (- x)) (sqrt (log1p x))) (log1p (- x)) (/ (log1p x) (cbrt (log1p (- x)))) (/ (log1p x) (sqrt (log1p (- x)))) (/ (log1p x) (log1p (- x))) (real->posit16 (/ (log1p (- x)) (log1p x))) (- (- x) (fma x (* x 1/2) 1)) (+ (/ 2 (* (* x (log x)) (* x (log x)))) (- (- (+ (fma 1/2 (/ (log -1) (* (* x (log x)) (* x (log x)))) (/ 2 (* x (- (log x))))) 1) (+ (/ (/ (/ (log -1) (- (log x))) (- (log x))) x) (/ (log -1) (- (log x))))) (/ (log -1) (* (* (* x (log x)) (* x (log x))) (- (log x)))))) (- (- (+ (/ (log (/ -1 x)) (* (+ 0 (log x)) (* (+ 0 (log x)) x))) (/ 1 (* (* x (+ 0 (log x))) (* x (+ 0 (log x)))))) (+ (fma 1/2 (/ (log (/ -1 x)) (* (* x (+ 0 (log x))) (* x (+ 0 (log x))))) (+ (* (/ 1/2 x) (/ (/ 1 x) (+ 0 (log x)))) (/ (/ 1 x) (+ 0 (log x))))) (/ (log (/ -1 x)) (* (* (* x (+ 0 (log x))) (* x (+ 0 (log x)))) (+ 0 (log x)))))) (/ (log (/ -1 x)) (+ 0 (log x)))) 2.952 * * * [progress]: adding candidates to table 3.234 * * [progress]: iteration 3 / 4 3.234 * * * [progress]: picking best candidate 3.239 * * * * [pick]: Picked # 3.239 * * * [progress]: localizing error 3.260 * * * [progress]: generating rewritten candidates 3.260 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 3.297 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 3.316 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 3.365 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 3.378 * * * [progress]: generating series expansions 3.378 * * * * [progress]: [ 1 / 4 ] generating series at (2) 3.379 * [backup-simplify]: Simplify (cbrt (* (* (/ (log1p (- x)) (log1p x)) (/ (log1p (- x)) (log1p x))) (/ (log1p (- x)) (log1p x)))) into (/ (log1p (- x)) (log1p x)) 3.379 * [approximate]: Taking taylor expansion of (/ (log1p (- x)) (log1p x)) in (x) around 0 3.379 * [taylor]: Taking taylor expansion of (/ (log1p (- x)) (log1p x)) in x 3.379 * [taylor]: Taking taylor expansion of (log1p (- x)) in x 3.379 * [taylor]: Rewrote expression to (log (+ 1 (- x))) 3.379 * [taylor]: Taking taylor expansion of (+ 1 (- x)) in x 3.379 * [taylor]: Taking taylor expansion of 1 in x 3.379 * [backup-simplify]: Simplify 1 into 1 3.379 * [taylor]: Taking taylor expansion of (- x) in x 3.379 * [taylor]: Taking taylor expansion of x in x 3.379 * [backup-simplify]: Simplify 0 into 0 3.379 * [backup-simplify]: Simplify 1 into 1 3.379 * [backup-simplify]: Simplify (- 0) into 0 3.380 * [backup-simplify]: Simplify (+ 1 0) into 1 3.380 * [backup-simplify]: Simplify (log 1) into 0 3.380 * [taylor]: Taking taylor expansion of (log1p x) in x 3.380 * [taylor]: Rewrote expression to (log (+ 1 x)) 3.380 * [taylor]: Taking taylor expansion of (+ 1 x) in x 3.380 * [taylor]: Taking taylor expansion of 1 in x 3.380 * [backup-simplify]: Simplify 1 into 1 3.380 * [taylor]: Taking taylor expansion of x in x 3.380 * [backup-simplify]: Simplify 0 into 0 3.380 * [backup-simplify]: Simplify 1 into 1 3.380 * [backup-simplify]: Simplify (+ 1 0) into 1 3.381 * [backup-simplify]: Simplify (log 1) into 0 3.381 * [backup-simplify]: Simplify (- 1) into -1 3.381 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.382 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 3.382 * [backup-simplify]: Simplify (+ 0 1) into 1 3.383 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 3.383 * [backup-simplify]: Simplify (/ -1 1) into -1 3.383 * [taylor]: Taking taylor expansion of (/ (log1p (- x)) (log1p x)) in x 3.383 * [taylor]: Taking taylor expansion of (log1p (- x)) in x 3.383 * [taylor]: Rewrote expression to (log (+ 1 (- x))) 3.383 * [taylor]: Taking taylor expansion of (+ 1 (- x)) in x 3.383 * [taylor]: Taking taylor expansion of 1 in x 3.383 * [backup-simplify]: Simplify 1 into 1 3.384 * [taylor]: Taking taylor expansion of (- x) in x 3.384 * [taylor]: Taking taylor expansion of x in x 3.384 * [backup-simplify]: Simplify 0 into 0 3.384 * [backup-simplify]: Simplify 1 into 1 3.384 * [backup-simplify]: Simplify (- 0) into 0 3.384 * [backup-simplify]: Simplify (+ 1 0) into 1 3.384 * [backup-simplify]: Simplify (log 1) into 0 3.384 * [taylor]: Taking taylor expansion of (log1p x) in x 3.384 * [taylor]: Rewrote expression to (log (+ 1 x)) 3.384 * [taylor]: Taking taylor expansion of (+ 1 x) in x 3.384 * [taylor]: Taking taylor expansion of 1 in x 3.384 * [backup-simplify]: Simplify 1 into 1 3.384 * [taylor]: Taking taylor expansion of x in x 3.384 * [backup-simplify]: Simplify 0 into 0 3.384 * [backup-simplify]: Simplify 1 into 1 3.385 * [backup-simplify]: Simplify (+ 1 0) into 1 3.385 * [backup-simplify]: Simplify (log 1) into 0 3.385 * [backup-simplify]: Simplify (- 1) into -1 3.385 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.386 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 3.387 * [backup-simplify]: Simplify (+ 0 1) into 1 3.387 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 3.388 * [backup-simplify]: Simplify (/ -1 1) into -1 3.388 * [backup-simplify]: Simplify -1 into -1 3.388 * [backup-simplify]: Simplify (- 0) into 0 3.388 * [backup-simplify]: Simplify (+ 0 0) into 0 3.390 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 3.390 * [backup-simplify]: Simplify (+ 0 0) into 0 3.391 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 3.392 * [backup-simplify]: Simplify (- (/ -1/2 1) (+ (* -1 (/ -1/2 1)))) into -1 3.392 * [backup-simplify]: Simplify -1 into -1 3.392 * [backup-simplify]: Simplify (- 0) into 0 3.393 * [backup-simplify]: Simplify (+ 0 0) into 0 3.395 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 -1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 -1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into -1/3 3.396 * [backup-simplify]: Simplify (+ 0 0) into 0 3.399 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 3.399 * [backup-simplify]: Simplify (- (/ -1/3 1) (+ (* -1 (/ 1/3 1)) (* -1 (/ -1/2 1)))) into -1/2 3.399 * [backup-simplify]: Simplify -1/2 into -1/2 3.400 * [backup-simplify]: Simplify (+ (* -1/2 (pow x 2)) (+ (* -1 x) -1)) into (- (+ x (+ (* 1/2 (pow x 2)) 1))) 3.400 * [backup-simplify]: Simplify (cbrt (* (* (/ (log1p (- (/ 1 x))) (log1p (/ 1 x))) (/ (log1p (- (/ 1 x))) (log1p (/ 1 x)))) (/ (log1p (- (/ 1 x))) (log1p (/ 1 x))))) into (/ (log1p (- (/ 1 x))) (log1p (/ 1 x))) 3.400 * [approximate]: Taking taylor expansion of (/ (log1p (- (/ 1 x))) (log1p (/ 1 x))) in (x) around 0 3.400 * [taylor]: Taking taylor expansion of (/ (log1p (- (/ 1 x))) (log1p (/ 1 x))) in x 3.400 * [taylor]: Taking taylor expansion of (log1p (- (/ 1 x))) in x 3.400 * [taylor]: Rewrote expression to (log (+ 1 (- (/ 1 x)))) 3.400 * [taylor]: Taking taylor expansion of (+ 1 (- (/ 1 x))) in x 3.400 * [taylor]: Taking taylor expansion of 1 in x 3.400 * [backup-simplify]: Simplify 1 into 1 3.400 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 3.400 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.400 * [taylor]: Taking taylor expansion of x in x 3.400 * [backup-simplify]: Simplify 0 into 0 3.400 * [backup-simplify]: Simplify 1 into 1 3.400 * [backup-simplify]: Simplify (/ 1 1) into 1 3.401 * [backup-simplify]: Simplify (- 1) into -1 3.401 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.401 * [backup-simplify]: Simplify (log -1) into (log -1) 3.401 * [taylor]: Taking taylor expansion of (log1p (/ 1 x)) in x 3.401 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 x))) 3.401 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 x)) in x 3.401 * [taylor]: Taking taylor expansion of 1 in x 3.401 * [backup-simplify]: Simplify 1 into 1 3.401 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.401 * [taylor]: Taking taylor expansion of x in x 3.401 * [backup-simplify]: Simplify 0 into 0 3.401 * [backup-simplify]: Simplify 1 into 1 3.402 * [backup-simplify]: Simplify (/ 1 1) into 1 3.402 * [backup-simplify]: Simplify (+ 0 1) into 1 3.402 * [backup-simplify]: Simplify (log 1) into 0 3.403 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 3.403 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 3.403 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 3.404 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 3.404 * [backup-simplify]: Simplify (/ (- (log -1) (log x)) (- (log x))) into (* -1 (/ (- (log -1) (log x)) (log x))) 3.404 * [taylor]: Taking taylor expansion of (/ (log1p (- (/ 1 x))) (log1p (/ 1 x))) in x 3.404 * [taylor]: Taking taylor expansion of (log1p (- (/ 1 x))) in x 3.404 * [taylor]: Rewrote expression to (log (+ 1 (- (/ 1 x)))) 3.404 * [taylor]: Taking taylor expansion of (+ 1 (- (/ 1 x))) in x 3.404 * [taylor]: Taking taylor expansion of 1 in x 3.404 * [backup-simplify]: Simplify 1 into 1 3.404 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 3.404 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.404 * [taylor]: Taking taylor expansion of x in x 3.404 * [backup-simplify]: Simplify 0 into 0 3.404 * [backup-simplify]: Simplify 1 into 1 3.404 * [backup-simplify]: Simplify (/ 1 1) into 1 3.405 * [backup-simplify]: Simplify (- 1) into -1 3.405 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.405 * [backup-simplify]: Simplify (log -1) into (log -1) 3.405 * [taylor]: Taking taylor expansion of (log1p (/ 1 x)) in x 3.405 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 x))) 3.405 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 x)) in x 3.405 * [taylor]: Taking taylor expansion of 1 in x 3.405 * [backup-simplify]: Simplify 1 into 1 3.405 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.405 * [taylor]: Taking taylor expansion of x in x 3.405 * [backup-simplify]: Simplify 0 into 0 3.405 * [backup-simplify]: Simplify 1 into 1 3.406 * [backup-simplify]: Simplify (/ 1 1) into 1 3.406 * [backup-simplify]: Simplify (+ 0 1) into 1 3.407 * [backup-simplify]: Simplify (log 1) into 0 3.407 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 3.408 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 3.409 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 3.409 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 3.413 * [backup-simplify]: Simplify (/ (- (log -1) (log x)) (- (log x))) into (* -1 (/ (- (log -1) (log x)) (log x))) 3.414 * [backup-simplify]: Simplify (* -1 (/ (- (log -1) (log x)) (log x))) into (* -1 (/ (- (log -1) (log x)) (log x))) 3.415 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.415 * [backup-simplify]: Simplify (- 0) into 0 3.416 * [backup-simplify]: Simplify (+ 1 0) into 1 3.417 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 3.417 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 3.418 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.419 * [backup-simplify]: Simplify (+ 1 0) into 1 3.420 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 3.420 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 3.421 * [backup-simplify]: Simplify (- (/ -1 (- (log x))) (+ (* (* -1 (/ (- (log -1) (log x)) (log x))) (/ 1 (- (log x)))))) into (- (* 2 (/ 1 (log x))) (/ (log -1) (pow (log x) 2))) 3.422 * [backup-simplify]: Simplify (- (* 2 (/ 1 (log x))) (/ (log -1) (pow (log x) 2))) into (- (* 2 (/ 1 (log x))) (/ (log -1) (pow (log x) 2))) 3.422 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.423 * [backup-simplify]: Simplify (- 0) into 0 3.423 * [backup-simplify]: Simplify (+ 0 0) into 0 3.424 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 3.425 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 3.425 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.425 * [backup-simplify]: Simplify (+ 0 0) into 0 3.427 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 3.427 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 3.428 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 3.428 * [backup-simplify]: Simplify (- (/ -1/2 (- (log x))) (+ (* (* -1 (/ (- (log -1) (log x)) (log x))) (/ -1/2 (- (log x)))) (* (- (* 2 (/ 1 (log x))) (/ (log -1) (pow (log x) 2))) (/ 1 (- (log x)))))) into (- (+ (* 1/2 (/ (log -1) (pow (log x) 2))) (* 2 (/ 1 (pow (log x) 2)))) (/ (log -1) (pow (log x) 3))) 3.429 * [backup-simplify]: Simplify (- (+ (* 1/2 (/ (log -1) (pow (log x) 2))) (* 2 (/ 1 (pow (log x) 2)))) (/ (log -1) (pow (log x) 3))) into (- (+ (* 1/2 (/ (log -1) (pow (log x) 2))) (* 2 (/ 1 (pow (log x) 2)))) (/ (log -1) (pow (log x) 3))) 3.431 * [backup-simplify]: Simplify (+ (* (- (+ (* 1/2 (/ (log -1) (pow (log (/ 1 x)) 2))) (* 2 (/ 1 (pow (log (/ 1 x)) 2)))) (/ (log -1) (pow (log (/ 1 x)) 3))) (pow (/ 1 x) 2)) (+ (* (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (/ 1 x)) (* -1 (/ (- (log -1) (log (/ 1 x))) (log (/ 1 x)))))) into (- (+ (* 2 (/ 1 (* (pow (log (/ 1 x)) 2) (pow x 2)))) (+ (* 2 (/ 1 (* (log (/ 1 x)) x))) (+ (* 1/2 (/ (log -1) (* (pow (log (/ 1 x)) 2) (pow x 2)))) 1))) (+ (/ (log -1) (* (pow (log (/ 1 x)) 3) (pow x 2))) (+ (/ (log -1) (log (/ 1 x))) (/ (log -1) (* (pow (log (/ 1 x)) 2) x))))) 3.431 * [backup-simplify]: Simplify (cbrt (* (* (/ (log1p (- (/ 1 (- x)))) (log1p (/ 1 (- x)))) (/ (log1p (- (/ 1 (- x)))) (log1p (/ 1 (- x))))) (/ (log1p (- (/ 1 (- x)))) (log1p (/ 1 (- x)))))) into (/ (log1p (/ 1 x)) (log1p (/ -1 x))) 3.431 * [approximate]: Taking taylor expansion of (/ (log1p (/ 1 x)) (log1p (/ -1 x))) in (x) around 0 3.431 * [taylor]: Taking taylor expansion of (/ (log1p (/ 1 x)) (log1p (/ -1 x))) in x 3.431 * [taylor]: Taking taylor expansion of (log1p (/ 1 x)) in x 3.432 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 x))) 3.432 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 x)) in x 3.432 * [taylor]: Taking taylor expansion of 1 in x 3.432 * [backup-simplify]: Simplify 1 into 1 3.432 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.432 * [taylor]: Taking taylor expansion of x in x 3.432 * [backup-simplify]: Simplify 0 into 0 3.432 * [backup-simplify]: Simplify 1 into 1 3.432 * [backup-simplify]: Simplify (/ 1 1) into 1 3.432 * [backup-simplify]: Simplify (+ 0 1) into 1 3.432 * [backup-simplify]: Simplify (log 1) into 0 3.432 * [taylor]: Taking taylor expansion of (log1p (/ -1 x)) in x 3.433 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 x))) 3.433 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 x)) in x 3.433 * [taylor]: Taking taylor expansion of 1 in x 3.433 * [backup-simplify]: Simplify 1 into 1 3.433 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.433 * [taylor]: Taking taylor expansion of -1 in x 3.433 * [backup-simplify]: Simplify -1 into -1 3.433 * [taylor]: Taking taylor expansion of x in x 3.433 * [backup-simplify]: Simplify 0 into 0 3.433 * [backup-simplify]: Simplify 1 into 1 3.433 * [backup-simplify]: Simplify (/ -1 1) into -1 3.433 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.433 * [backup-simplify]: Simplify (log -1) into (log -1) 3.434 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 3.434 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 3.435 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 3.435 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 3.435 * [backup-simplify]: Simplify (/ (- (log x)) (- (log -1) (log x))) into (* -1 (/ (log x) (- (log -1) (log x)))) 3.435 * [taylor]: Taking taylor expansion of (/ (log1p (/ 1 x)) (log1p (/ -1 x))) in x 3.435 * [taylor]: Taking taylor expansion of (log1p (/ 1 x)) in x 3.436 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 x))) 3.436 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 x)) in x 3.436 * [taylor]: Taking taylor expansion of 1 in x 3.436 * [backup-simplify]: Simplify 1 into 1 3.436 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.436 * [taylor]: Taking taylor expansion of x in x 3.436 * [backup-simplify]: Simplify 0 into 0 3.436 * [backup-simplify]: Simplify 1 into 1 3.436 * [backup-simplify]: Simplify (/ 1 1) into 1 3.436 * [backup-simplify]: Simplify (+ 0 1) into 1 3.436 * [backup-simplify]: Simplify (log 1) into 0 3.436 * [taylor]: Taking taylor expansion of (log1p (/ -1 x)) in x 3.436 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 x))) 3.437 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 x)) in x 3.437 * [taylor]: Taking taylor expansion of 1 in x 3.437 * [backup-simplify]: Simplify 1 into 1 3.437 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.437 * [taylor]: Taking taylor expansion of -1 in x 3.437 * [backup-simplify]: Simplify -1 into -1 3.437 * [taylor]: Taking taylor expansion of x in x 3.437 * [backup-simplify]: Simplify 0 into 0 3.437 * [backup-simplify]: Simplify 1 into 1 3.437 * [backup-simplify]: Simplify (/ -1 1) into -1 3.437 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.437 * [backup-simplify]: Simplify (log -1) into (log -1) 3.438 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 3.438 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 3.439 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 3.439 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 3.440 * [backup-simplify]: Simplify (/ (- (log x)) (- (log -1) (log x))) into (* -1 (/ (log x) (- (log -1) (log x)))) 3.440 * [backup-simplify]: Simplify (* -1 (/ (log x) (- (log -1) (log x)))) into (* -1 (/ (log x) (- (log -1) (log x)))) 3.440 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.441 * [backup-simplify]: Simplify (+ 1 0) into 1 3.441 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 3.442 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 3.442 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.443 * [backup-simplify]: Simplify (+ 1 0) into 1 3.444 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 3.444 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 3.445 * [backup-simplify]: Simplify (- (/ 1 (- (log -1) (log x))) (+ (* (* -1 (/ (log x) (- (log -1) (log x)))) (/ -1 (- (log -1) (log x)))))) into (- (/ 1 (- (log -1) (log x))) (/ (log x) (pow (- (log -1) (log x)) 2))) 3.446 * [backup-simplify]: Simplify (- (/ 1 (- (log -1) (log x))) (/ (log x) (pow (- (log -1) (log x)) 2))) into (- (/ 1 (- (log -1) (log x))) (/ (log x) (pow (- (log -1) (log x)) 2))) 3.446 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.446 * [backup-simplify]: Simplify (+ 0 0) into 0 3.448 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 3.448 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 3.449 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.449 * [backup-simplify]: Simplify (+ 0 0) into 0 3.451 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 3.451 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 3.452 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 3.454 * [backup-simplify]: Simplify (- (/ -1/2 (- (log -1) (log x))) (+ (* (* -1 (/ (log x) (- (log -1) (log x)))) (/ -1/2 (- (log -1) (log x)))) (* (- (/ 1 (- (log -1) (log x))) (/ (log x) (pow (- (log -1) (log x)) 2))) (/ -1 (- (log -1) (log x)))))) into (- (/ 1 (pow (- (log -1) (log x)) 2)) (+ (* 1/2 (/ 1 (- (log -1) (log x)))) (+ (/ (log x) (pow (- (log -1) (log x)) 3)) (* 1/2 (/ (log x) (pow (- (log -1) (log x)) 2)))))) 3.456 * [backup-simplify]: Simplify (- (/ 1 (pow (- (log -1) (log x)) 2)) (+ (* 1/2 (/ 1 (- (log -1) (log x)))) (+ (/ (log x) (pow (- (log -1) (log x)) 3)) (* 1/2 (/ (log x) (pow (- (log -1) (log x)) 2)))))) into (- (/ 1 (pow (- (log -1) (log x)) 2)) (+ (* 1/2 (/ 1 (- (log -1) (log x)))) (+ (/ (log x) (pow (- (log -1) (log x)) 3)) (* 1/2 (/ (log x) (pow (- (log -1) (log x)) 2)))))) 3.461 * [backup-simplify]: Simplify (+ (* (- (/ 1 (pow (- (log -1) (log (/ 1 (- x)))) 2)) (+ (* 1/2 (/ 1 (- (log -1) (log (/ 1 (- x)))))) (+ (/ (log (/ 1 (- x))) (pow (- (log -1) (log (/ 1 (- x)))) 3)) (* 1/2 (/ (log (/ 1 (- x))) (pow (- (log -1) (log (/ 1 (- x)))) 2)))))) (pow (/ 1 (- x)) 2)) (+ (* (- (/ 1 (- (log -1) (log (/ 1 (- x))))) (/ (log (/ 1 (- x))) (pow (- (log -1) (log (/ 1 (- x)))) 2))) (/ 1 (- x))) (* -1 (/ (log (/ 1 (- x))) (- (log -1) (log (/ 1 (- x)))))))) into (- (+ (/ (log (/ -1 x)) (* x (pow (- (log -1) (log (/ -1 x))) 2))) (/ 1 (* (pow x 2) (pow (- (log -1) (log (/ -1 x))) 2)))) (+ (/ (log (/ -1 x)) (- (log -1) (log (/ -1 x)))) (+ (/ (log (/ -1 x)) (* (pow x 2) (pow (- (log -1) (log (/ -1 x))) 3))) (+ (/ 1 (* x (- (log -1) (log (/ -1 x))))) (+ (* 1/2 (/ (log (/ -1 x)) (* (pow x 2) (pow (- (log -1) (log (/ -1 x))) 2)))) (* 1/2 (/ 1 (* (pow x 2) (- (log -1) (log (/ -1 x))))))))))) 3.461 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 3.461 * [backup-simplify]: Simplify (* (/ (log1p (- x)) (log1p x)) (/ (log1p (- x)) (log1p x))) into (/ (pow (log1p (- x)) 2) (pow (log1p x) 2)) 3.461 * [approximate]: Taking taylor expansion of (/ (pow (log1p (- x)) 2) (pow (log1p x) 2)) in (x) around 0 3.461 * [taylor]: Taking taylor expansion of (/ (pow (log1p (- x)) 2) (pow (log1p x) 2)) in x 3.461 * [taylor]: Taking taylor expansion of (pow (log1p (- x)) 2) in x 3.461 * [taylor]: Taking taylor expansion of (log1p (- x)) in x 3.461 * [taylor]: Rewrote expression to (log (+ 1 (- x))) 3.461 * [taylor]: Taking taylor expansion of (+ 1 (- x)) in x 3.461 * [taylor]: Taking taylor expansion of 1 in x 3.461 * [backup-simplify]: Simplify 1 into 1 3.461 * [taylor]: Taking taylor expansion of (- x) in x 3.461 * [taylor]: Taking taylor expansion of x in x 3.461 * [backup-simplify]: Simplify 0 into 0 3.461 * [backup-simplify]: Simplify 1 into 1 3.462 * [backup-simplify]: Simplify (- 0) into 0 3.462 * [backup-simplify]: Simplify (+ 1 0) into 1 3.463 * [backup-simplify]: Simplify (log 1) into 0 3.463 * [backup-simplify]: Simplify (- 1) into -1 3.463 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.465 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 3.465 * [taylor]: Taking taylor expansion of (pow (log1p x) 2) in x 3.465 * [taylor]: Taking taylor expansion of (log1p x) in x 3.465 * [taylor]: Rewrote expression to (log (+ 1 x)) 3.465 * [taylor]: Taking taylor expansion of (+ 1 x) in x 3.465 * [taylor]: Taking taylor expansion of 1 in x 3.465 * [backup-simplify]: Simplify 1 into 1 3.465 * [taylor]: Taking taylor expansion of x in x 3.465 * [backup-simplify]: Simplify 0 into 0 3.465 * [backup-simplify]: Simplify 1 into 1 3.465 * [backup-simplify]: Simplify (+ 1 0) into 1 3.466 * [backup-simplify]: Simplify (log 1) into 0 3.466 * [backup-simplify]: Simplify (+ 0 1) into 1 3.467 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 3.468 * [backup-simplify]: Simplify (* -1 -1) into 1 3.468 * [backup-simplify]: Simplify (* 1 1) into 1 3.469 * [backup-simplify]: Simplify (/ 1 1) into 1 3.469 * [taylor]: Taking taylor expansion of (/ (pow (log1p (- x)) 2) (pow (log1p x) 2)) in x 3.469 * [taylor]: Taking taylor expansion of (pow (log1p (- x)) 2) in x 3.469 * [taylor]: Taking taylor expansion of (log1p (- x)) in x 3.469 * [taylor]: Rewrote expression to (log (+ 1 (- x))) 3.469 * [taylor]: Taking taylor expansion of (+ 1 (- x)) in x 3.469 * [taylor]: Taking taylor expansion of 1 in x 3.469 * [backup-simplify]: Simplify 1 into 1 3.469 * [taylor]: Taking taylor expansion of (- x) in x 3.469 * [taylor]: Taking taylor expansion of x in x 3.469 * [backup-simplify]: Simplify 0 into 0 3.469 * [backup-simplify]: Simplify 1 into 1 3.469 * [backup-simplify]: Simplify (- 0) into 0 3.470 * [backup-simplify]: Simplify (+ 1 0) into 1 3.470 * [backup-simplify]: Simplify (log 1) into 0 3.471 * [backup-simplify]: Simplify (- 1) into -1 3.471 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.472 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 3.473 * [taylor]: Taking taylor expansion of (pow (log1p x) 2) in x 3.473 * [taylor]: Taking taylor expansion of (log1p x) in x 3.473 * [taylor]: Rewrote expression to (log (+ 1 x)) 3.473 * [taylor]: Taking taylor expansion of (+ 1 x) in x 3.473 * [taylor]: Taking taylor expansion of 1 in x 3.473 * [backup-simplify]: Simplify 1 into 1 3.473 * [taylor]: Taking taylor expansion of x in x 3.473 * [backup-simplify]: Simplify 0 into 0 3.473 * [backup-simplify]: Simplify 1 into 1 3.473 * [backup-simplify]: Simplify (+ 1 0) into 1 3.474 * [backup-simplify]: Simplify (log 1) into 0 3.474 * [backup-simplify]: Simplify (+ 0 1) into 1 3.475 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 3.476 * [backup-simplify]: Simplify (* -1 -1) into 1 3.476 * [backup-simplify]: Simplify (* 1 1) into 1 3.476 * [backup-simplify]: Simplify (/ 1 1) into 1 3.476 * [backup-simplify]: Simplify 1 into 1 3.477 * [backup-simplify]: Simplify (- 0) into 0 3.477 * [backup-simplify]: Simplify (+ 0 0) into 0 3.480 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 3.481 * [backup-simplify]: Simplify (+ (* -1 -1/2) (* -1/2 -1)) into 1 3.481 * [backup-simplify]: Simplify (+ 0 0) into 0 3.484 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 3.485 * [backup-simplify]: Simplify (+ (* 1 -1/2) (* -1/2 1)) into -1 3.486 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ -1 1)))) into 2 3.486 * [backup-simplify]: Simplify 2 into 2 3.486 * [backup-simplify]: Simplify (- 0) into 0 3.487 * [backup-simplify]: Simplify (+ 0 0) into 0 3.491 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 -1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 -1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into -1/3 3.492 * [backup-simplify]: Simplify (+ (* -1 -1/3) (+ (* -1/2 -1/2) (* -1/3 -1))) into 11/12 3.492 * [backup-simplify]: Simplify (+ 0 0) into 0 3.497 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 3.498 * [backup-simplify]: Simplify (+ (* 1 1/3) (+ (* -1/2 -1/2) (* 1/3 1))) into 11/12 3.500 * [backup-simplify]: Simplify (- (/ 11/12 1) (+ (* 1 (/ 11/12 1)) (* 2 (/ -1 1)))) into 2 3.500 * [backup-simplify]: Simplify 2 into 2 3.500 * [backup-simplify]: Simplify (+ (* 2 (pow x 2)) (+ (* 2 x) 1)) into (+ (* 2 x) (+ (* 2 (pow x 2)) 1)) 3.500 * [backup-simplify]: Simplify (* (/ (log1p (- (/ 1 x))) (log1p (/ 1 x))) (/ (log1p (- (/ 1 x))) (log1p (/ 1 x)))) into (/ (pow (log1p (- (/ 1 x))) 2) (pow (log1p (/ 1 x)) 2)) 3.500 * [approximate]: Taking taylor expansion of (/ (pow (log1p (- (/ 1 x))) 2) (pow (log1p (/ 1 x)) 2)) in (x) around 0 3.500 * [taylor]: Taking taylor expansion of (/ (pow (log1p (- (/ 1 x))) 2) (pow (log1p (/ 1 x)) 2)) in x 3.500 * [taylor]: Taking taylor expansion of (pow (log1p (- (/ 1 x))) 2) in x 3.500 * [taylor]: Taking taylor expansion of (log1p (- (/ 1 x))) in x 3.500 * [taylor]: Rewrote expression to (log (+ 1 (- (/ 1 x)))) 3.501 * [taylor]: Taking taylor expansion of (+ 1 (- (/ 1 x))) in x 3.501 * [taylor]: Taking taylor expansion of 1 in x 3.501 * [backup-simplify]: Simplify 1 into 1 3.501 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 3.501 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.501 * [taylor]: Taking taylor expansion of x in x 3.501 * [backup-simplify]: Simplify 0 into 0 3.501 * [backup-simplify]: Simplify 1 into 1 3.501 * [backup-simplify]: Simplify (/ 1 1) into 1 3.501 * [backup-simplify]: Simplify (- 1) into -1 3.502 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.502 * [backup-simplify]: Simplify (log -1) into (log -1) 3.503 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 3.503 * [taylor]: Taking taylor expansion of (pow (log1p (/ 1 x)) 2) in x 3.503 * [taylor]: Taking taylor expansion of (log1p (/ 1 x)) in x 3.503 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 x))) 3.503 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 x)) in x 3.503 * [taylor]: Taking taylor expansion of 1 in x 3.503 * [backup-simplify]: Simplify 1 into 1 3.503 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.503 * [taylor]: Taking taylor expansion of x in x 3.503 * [backup-simplify]: Simplify 0 into 0 3.503 * [backup-simplify]: Simplify 1 into 1 3.503 * [backup-simplify]: Simplify (/ 1 1) into 1 3.504 * [backup-simplify]: Simplify (+ 0 1) into 1 3.504 * [backup-simplify]: Simplify (log 1) into 0 3.505 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 3.506 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 3.506 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 3.507 * [backup-simplify]: Simplify (* (- (log -1) (log x)) (- (log -1) (log x))) into (pow (- (log -1) (log x)) 2) 3.508 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 3.508 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 3.508 * [backup-simplify]: Simplify (* (- (log x)) (- (log x))) into (pow (log x) 2) 3.509 * [backup-simplify]: Simplify (/ (pow (- (log -1) (log x)) 2) (pow (log x) 2)) into (/ (pow (- (log -1) (log x)) 2) (pow (log x) 2)) 3.509 * [taylor]: Taking taylor expansion of (/ (pow (log1p (- (/ 1 x))) 2) (pow (log1p (/ 1 x)) 2)) in x 3.509 * [taylor]: Taking taylor expansion of (pow (log1p (- (/ 1 x))) 2) in x 3.509 * [taylor]: Taking taylor expansion of (log1p (- (/ 1 x))) in x 3.509 * [taylor]: Rewrote expression to (log (+ 1 (- (/ 1 x)))) 3.509 * [taylor]: Taking taylor expansion of (+ 1 (- (/ 1 x))) in x 3.509 * [taylor]: Taking taylor expansion of 1 in x 3.509 * [backup-simplify]: Simplify 1 into 1 3.509 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 3.509 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.509 * [taylor]: Taking taylor expansion of x in x 3.509 * [backup-simplify]: Simplify 0 into 0 3.509 * [backup-simplify]: Simplify 1 into 1 3.510 * [backup-simplify]: Simplify (/ 1 1) into 1 3.510 * [backup-simplify]: Simplify (- 1) into -1 3.510 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.511 * [backup-simplify]: Simplify (log -1) into (log -1) 3.512 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 3.512 * [taylor]: Taking taylor expansion of (pow (log1p (/ 1 x)) 2) in x 3.512 * [taylor]: Taking taylor expansion of (log1p (/ 1 x)) in x 3.512 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 x))) 3.512 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 x)) in x 3.512 * [taylor]: Taking taylor expansion of 1 in x 3.512 * [backup-simplify]: Simplify 1 into 1 3.512 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.512 * [taylor]: Taking taylor expansion of x in x 3.512 * [backup-simplify]: Simplify 0 into 0 3.512 * [backup-simplify]: Simplify 1 into 1 3.512 * [backup-simplify]: Simplify (/ 1 1) into 1 3.513 * [backup-simplify]: Simplify (+ 0 1) into 1 3.513 * [backup-simplify]: Simplify (log 1) into 0 3.514 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 3.515 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 3.515 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 3.516 * [backup-simplify]: Simplify (* (- (log -1) (log x)) (- (log -1) (log x))) into (pow (- (log -1) (log x)) 2) 3.517 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 3.517 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 3.517 * [backup-simplify]: Simplify (* (- (log x)) (- (log x))) into (pow (log x) 2) 3.518 * [backup-simplify]: Simplify (/ (pow (- (log -1) (log x)) 2) (pow (log x) 2)) into (/ (pow (- (log -1) (log x)) 2) (pow (log x) 2)) 3.518 * [backup-simplify]: Simplify (/ (pow (- (log -1) (log x)) 2) (pow (log x) 2)) into (/ (pow (- (log -1) (log x)) 2) (pow (log x) 2)) 3.519 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 3.520 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.520 * [backup-simplify]: Simplify (- 0) into 0 3.521 * [backup-simplify]: Simplify (+ 1 0) into 1 3.522 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 3.523 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 3.524 * [backup-simplify]: Simplify (+ (* (- (log -1) (log x)) -1) (* -1 (- (log -1) (log x)))) into (- (* 2 (log x)) (* 2 (log -1))) 3.525 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 3.525 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.526 * [backup-simplify]: Simplify (+ 1 0) into 1 3.527 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 3.528 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 3.528 * [backup-simplify]: Simplify (+ (* (- (log x)) 1) (* 1 (- (log x)))) into (- (* 2 (log x))) 3.530 * [backup-simplify]: Simplify (- (/ (- (* 2 (log x)) (* 2 (log -1))) (pow (log x) 2)) (+ (* (/ (pow (- (log -1) (log x)) 2) (pow (log x) 2)) (/ (- (* 2 (log x))) (pow (log x) 2))))) into (- (+ (* 4 (/ 1 (log x))) (* 2 (/ (pow (log -1) 2) (pow (log x) 3)))) (* 6 (/ (log -1) (pow (log x) 2)))) 3.532 * [backup-simplify]: Simplify (- (+ (* 4 (/ 1 (log x))) (* 2 (/ (pow (log -1) 2) (pow (log x) 3)))) (* 6 (/ (log -1) (pow (log x) 2)))) into (- (+ (* 4 (/ 1 (log x))) (* 2 (/ (pow (log -1) 2) (pow (log x) 3)))) (* 6 (/ (log -1) (pow (log x) 2)))) 3.533 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 3.536 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.537 * [backup-simplify]: Simplify (- 0) into 0 3.537 * [backup-simplify]: Simplify (+ 0 0) into 0 3.540 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 3.541 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 3.542 * [backup-simplify]: Simplify (+ (* (- (log -1) (log x)) -1/2) (+ (* -1 -1) (* -1/2 (- (log -1) (log x))))) into (- (+ 1 (log x)) (log -1)) 3.543 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 3.544 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.544 * [backup-simplify]: Simplify (+ 0 0) into 0 3.547 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 3.548 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 3.548 * [backup-simplify]: Simplify (+ (* (- (log x)) -1/2) (+ (* 1 1) (* -1/2 (- (log x))))) into (+ 1 (log x)) 3.552 * [backup-simplify]: Simplify (- (/ (- (+ 1 (log x)) (log -1)) (pow (log x) 2)) (+ (* (/ (pow (- (log -1) (log x)) 2) (pow (log x) 2)) (/ (+ 1 (log x)) (pow (log x) 2))) (* (- (+ (* 4 (/ 1 (log x))) (* 2 (/ (pow (log -1) 2) (pow (log x) 3)))) (* 6 (/ (log -1) (pow (log x) 2)))) (/ (- (* 2 (log x))) (pow (log x) 2))))) into (- (+ (/ (log -1) (pow (log x) 2)) (+ (* 8 (/ 1 (pow (log x) 2))) (* 3 (/ (pow (log -1) 2) (pow (log x) 4))))) (+ (/ (pow (log -1) 2) (pow (log x) 3)) (* 10 (/ (log -1) (pow (log x) 3))))) 3.556 * [backup-simplify]: Simplify (- (+ (/ (log -1) (pow (log x) 2)) (+ (* 8 (/ 1 (pow (log x) 2))) (* 3 (/ (pow (log -1) 2) (pow (log x) 4))))) (+ (/ (pow (log -1) 2) (pow (log x) 3)) (* 10 (/ (log -1) (pow (log x) 3))))) into (- (+ (* 3 (/ (pow (log -1) 2) (pow (log x) 4))) (+ (/ (log -1) (pow (log x) 2)) (* 8 (/ 1 (pow (log x) 2))))) (+ (/ (pow (log -1) 2) (pow (log x) 3)) (* 10 (/ (log -1) (pow (log x) 3))))) 3.563 * [backup-simplify]: Simplify (+ (* (- (+ (* 3 (/ (pow (log -1) 2) (pow (log (/ 1 x)) 4))) (+ (/ (log -1) (pow (log (/ 1 x)) 2)) (* 8 (/ 1 (pow (log (/ 1 x)) 2))))) (+ (/ (pow (log -1) 2) (pow (log (/ 1 x)) 3)) (* 10 (/ (log -1) (pow (log (/ 1 x)) 3))))) (pow (/ 1 x) 2)) (+ (* (- (+ (* 4 (/ 1 (log (/ 1 x)))) (* 2 (/ (pow (log -1) 2) (pow (log (/ 1 x)) 3)))) (* 6 (/ (log -1) (pow (log (/ 1 x)) 2)))) (/ 1 x)) (/ (pow (- (log -1) (log (/ 1 x))) 2) (pow (log (/ 1 x)) 2)))) into (- (+ (* 2 (/ (pow (log -1) 2) (* (pow (log (/ 1 x)) 3) x))) (+ (* 3 (/ (pow (log -1) 2) (* (pow (log (/ 1 x)) 4) (pow x 2)))) (+ (/ (pow (log -1) 2) (pow (log (/ 1 x)) 2)) (+ (* 8 (/ 1 (* (pow (log (/ 1 x)) 2) (pow x 2)))) (+ (* 4 (/ 1 (* (log (/ 1 x)) x))) (+ (/ (log -1) (* (pow (log (/ 1 x)) 2) (pow x 2))) 1)))))) (+ (/ (pow (log -1) 2) (* (pow (log (/ 1 x)) 3) (pow x 2))) (+ (* 10 (/ (log -1) (* (pow (log (/ 1 x)) 3) (pow x 2)))) (+ (* 6 (/ (log -1) (* (pow (log (/ 1 x)) 2) x))) (* 2 (/ (log -1) (log (/ 1 x)))))))) 3.563 * [backup-simplify]: Simplify (* (/ (log1p (- (/ 1 (- x)))) (log1p (/ 1 (- x)))) (/ (log1p (- (/ 1 (- x)))) (log1p (/ 1 (- x))))) into (/ (pow (log1p (/ 1 x)) 2) (pow (log1p (/ -1 x)) 2)) 3.563 * [approximate]: Taking taylor expansion of (/ (pow (log1p (/ 1 x)) 2) (pow (log1p (/ -1 x)) 2)) in (x) around 0 3.564 * [taylor]: Taking taylor expansion of (/ (pow (log1p (/ 1 x)) 2) (pow (log1p (/ -1 x)) 2)) in x 3.564 * [taylor]: Taking taylor expansion of (pow (log1p (/ 1 x)) 2) in x 3.564 * [taylor]: Taking taylor expansion of (log1p (/ 1 x)) in x 3.564 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 x))) 3.564 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 x)) in x 3.564 * [taylor]: Taking taylor expansion of 1 in x 3.564 * [backup-simplify]: Simplify 1 into 1 3.564 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.564 * [taylor]: Taking taylor expansion of x in x 3.564 * [backup-simplify]: Simplify 0 into 0 3.564 * [backup-simplify]: Simplify 1 into 1 3.564 * [backup-simplify]: Simplify (/ 1 1) into 1 3.565 * [backup-simplify]: Simplify (+ 0 1) into 1 3.565 * [backup-simplify]: Simplify (log 1) into 0 3.566 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 3.566 * [taylor]: Taking taylor expansion of (pow (log1p (/ -1 x)) 2) in x 3.566 * [taylor]: Taking taylor expansion of (log1p (/ -1 x)) in x 3.566 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 x))) 3.566 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 x)) in x 3.566 * [taylor]: Taking taylor expansion of 1 in x 3.566 * [backup-simplify]: Simplify 1 into 1 3.566 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.566 * [taylor]: Taking taylor expansion of -1 in x 3.566 * [backup-simplify]: Simplify -1 into -1 3.566 * [taylor]: Taking taylor expansion of x in x 3.566 * [backup-simplify]: Simplify 0 into 0 3.566 * [backup-simplify]: Simplify 1 into 1 3.567 * [backup-simplify]: Simplify (/ -1 1) into -1 3.567 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.568 * [backup-simplify]: Simplify (log -1) into (log -1) 3.568 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 3.569 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 3.569 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 3.569 * [backup-simplify]: Simplify (* (- (log x)) (- (log x))) into (pow (log x) 2) 3.570 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 3.571 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 3.571 * [backup-simplify]: Simplify (* (- (log -1) (log x)) (- (log -1) (log x))) into (pow (- (log -1) (log x)) 2) 3.571 * [backup-simplify]: Simplify (/ (pow (log x) 2) (pow (- (log -1) (log x)) 2)) into (/ (pow (log x) 2) (pow (- (log -1) (log x)) 2)) 3.571 * [taylor]: Taking taylor expansion of (/ (pow (log1p (/ 1 x)) 2) (pow (log1p (/ -1 x)) 2)) in x 3.571 * [taylor]: Taking taylor expansion of (pow (log1p (/ 1 x)) 2) in x 3.571 * [taylor]: Taking taylor expansion of (log1p (/ 1 x)) in x 3.572 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 x))) 3.572 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 x)) in x 3.572 * [taylor]: Taking taylor expansion of 1 in x 3.572 * [backup-simplify]: Simplify 1 into 1 3.572 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.572 * [taylor]: Taking taylor expansion of x in x 3.572 * [backup-simplify]: Simplify 0 into 0 3.572 * [backup-simplify]: Simplify 1 into 1 3.572 * [backup-simplify]: Simplify (/ 1 1) into 1 3.572 * [backup-simplify]: Simplify (+ 0 1) into 1 3.572 * [backup-simplify]: Simplify (log 1) into 0 3.573 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 3.573 * [taylor]: Taking taylor expansion of (pow (log1p (/ -1 x)) 2) in x 3.573 * [taylor]: Taking taylor expansion of (log1p (/ -1 x)) in x 3.573 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 x))) 3.573 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 x)) in x 3.573 * [taylor]: Taking taylor expansion of 1 in x 3.573 * [backup-simplify]: Simplify 1 into 1 3.573 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.573 * [taylor]: Taking taylor expansion of -1 in x 3.573 * [backup-simplify]: Simplify -1 into -1 3.573 * [taylor]: Taking taylor expansion of x in x 3.573 * [backup-simplify]: Simplify 0 into 0 3.573 * [backup-simplify]: Simplify 1 into 1 3.573 * [backup-simplify]: Simplify (/ -1 1) into -1 3.574 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.574 * [backup-simplify]: Simplify (log -1) into (log -1) 3.574 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 3.575 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 3.575 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 3.575 * [backup-simplify]: Simplify (* (- (log x)) (- (log x))) into (pow (log x) 2) 3.575 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 3.576 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 3.577 * [backup-simplify]: Simplify (* (- (log -1) (log x)) (- (log -1) (log x))) into (pow (- (log -1) (log x)) 2) 3.577 * [backup-simplify]: Simplify (/ (pow (log x) 2) (pow (- (log -1) (log x)) 2)) into (/ (pow (log x) 2) (pow (- (log -1) (log x)) 2)) 3.577 * [backup-simplify]: Simplify (/ (pow (log x) 2) (pow (- (log -1) (log x)) 2)) into (/ (pow (log x) 2) (pow (- (log -1) (log x)) 2)) 3.578 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 3.578 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.578 * [backup-simplify]: Simplify (+ 1 0) into 1 3.579 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 3.579 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 3.580 * [backup-simplify]: Simplify (+ (* (- (log x)) 1) (* 1 (- (log x)))) into (- (* 2 (log x))) 3.580 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 3.581 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.581 * [backup-simplify]: Simplify (+ 1 0) into 1 3.582 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 3.582 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 3.583 * [backup-simplify]: Simplify (+ (* (- (log -1) (log x)) -1) (* -1 (- (log -1) (log x)))) into (- (* 2 (log x)) (* 2 (log -1))) 3.585 * [backup-simplify]: Simplify (- (/ (- (* 2 (log x))) (pow (- (log -1) (log x)) 2)) (+ (* (/ (pow (log x) 2) (pow (- (log -1) (log x)) 2)) (/ (- (* 2 (log x)) (* 2 (log -1))) (pow (- (log -1) (log x)) 2))))) into (- (* 2 (/ (* (log -1) (pow (log x) 2)) (pow (- (log -1) (log x)) 4))) (+ (* 2 (/ (log x) (pow (- (log -1) (log x)) 2))) (* 2 (/ (pow (log x) 3) (pow (- (log -1) (log x)) 4))))) 3.586 * [backup-simplify]: Simplify (- (* 2 (/ (* (log -1) (pow (log x) 2)) (pow (- (log -1) (log x)) 4))) (+ (* 2 (/ (log x) (pow (- (log -1) (log x)) 2))) (* 2 (/ (pow (log x) 3) (pow (- (log -1) (log x)) 4))))) into (- (* 2 (/ (* (log -1) (pow (log x) 2)) (pow (- (log -1) (log x)) 4))) (+ (* 2 (/ (log x) (pow (- (log -1) (log x)) 2))) (* 2 (/ (pow (log x) 3) (pow (- (log -1) (log x)) 4))))) 3.586 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 3.587 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.587 * [backup-simplify]: Simplify (+ 0 0) into 0 3.589 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 3.589 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 3.589 * [backup-simplify]: Simplify (+ (* (- (log x)) -1/2) (+ (* 1 1) (* -1/2 (- (log x))))) into (+ 1 (log x)) 3.590 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 3.590 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.591 * [backup-simplify]: Simplify (+ 0 0) into 0 3.592 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 3.593 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 3.594 * [backup-simplify]: Simplify (+ (* (- (log -1) (log x)) -1/2) (+ (* -1 -1) (* -1/2 (- (log -1) (log x))))) into (- (+ 1 (log x)) (log -1)) 3.598 * [backup-simplify]: Simplify (- (/ (+ 1 (log x)) (pow (- (log -1) (log x)) 2)) (+ (* (/ (pow (log x) 2) (pow (- (log -1) (log x)) 2)) (/ (- (+ 1 (log x)) (log -1)) (pow (- (log -1) (log x)) 2))) (* (- (* 2 (/ (* (log -1) (pow (log x) 2)) (pow (- (log -1) (log x)) 4))) (+ (* 2 (/ (log x) (pow (- (log -1) (log x)) 2))) (* 2 (/ (pow (log x) 3) (pow (- (log -1) (log x)) 4))))) (/ (- (* 2 (log x)) (* 2 (log -1))) (pow (- (log -1) (log x)) 2))))) into (- (+ (/ (log x) (pow (- (log -1) (log x)) 2)) (+ (* 3 (/ (pow (log x) 2) (pow (- (log -1) (log x)) 4))) (+ (/ 1 (pow (- (log -1) (log x)) 2)) (+ (* 4 (/ (* (pow (log -1) 2) (pow (log x) 2)) (pow (- (log -1) (log x)) 6))) (+ (/ (* (log -1) (pow (log x) 2)) (pow (- (log -1) (log x)) 4)) (* 4 (/ (pow (log x) 4) (pow (- (log -1) (log x)) 6)))))))) (+ (* 4 (/ (* (log -1) (log x)) (pow (- (log -1) (log x)) 4))) (+ (* 8 (/ (* (log -1) (pow (log x) 3)) (pow (- (log -1) (log x)) 6))) (/ (pow (log x) 3) (pow (- (log -1) (log x)) 4))))) 3.607 * [backup-simplify]: Simplify (- (+ (/ (log x) (pow (- (log -1) (log x)) 2)) (+ (* 3 (/ (pow (log x) 2) (pow (- (log -1) (log x)) 4))) (+ (/ 1 (pow (- (log -1) (log x)) 2)) (+ (* 4 (/ (* (pow (log -1) 2) (pow (log x) 2)) (pow (- (log -1) (log x)) 6))) (+ (/ (* (log -1) (pow (log x) 2)) (pow (- (log -1) (log x)) 4)) (* 4 (/ (pow (log x) 4) (pow (- (log -1) (log x)) 6)))))))) (+ (* 4 (/ (* (log -1) (log x)) (pow (- (log -1) (log x)) 4))) (+ (* 8 (/ (* (log -1) (pow (log x) 3)) (pow (- (log -1) (log x)) 6))) (/ (pow (log x) 3) (pow (- (log -1) (log x)) 4))))) into (- (+ (* 3 (/ (pow (log x) 2) (pow (- (log -1) (log x)) 4))) (+ (/ (log x) (pow (- (log -1) (log x)) 2)) (+ (/ 1 (pow (- (log -1) (log x)) 2)) (+ (* 4 (/ (* (pow (log -1) 2) (pow (log x) 2)) (pow (- (log -1) (log x)) 6))) (+ (/ (* (log -1) (pow (log x) 2)) (pow (- (log -1) (log x)) 4)) (* 4 (/ (pow (log x) 4) (pow (- (log -1) (log x)) 6)))))))) (+ (/ (pow (log x) 3) (pow (- (log -1) (log x)) 4)) (+ (* 8 (/ (* (log -1) (pow (log x) 3)) (pow (- (log -1) (log x)) 6))) (* 4 (/ (* (log -1) (log x)) (pow (- (log -1) (log x)) 4)))))) 3.622 * [backup-simplify]: Simplify (+ (* (- (+ (* 3 (/ (pow (log (/ 1 (- x))) 2) (pow (- (log -1) (log (/ 1 (- x)))) 4))) (+ (/ (log (/ 1 (- x))) (pow (- (log -1) (log (/ 1 (- x)))) 2)) (+ (/ 1 (pow (- (log -1) (log (/ 1 (- x)))) 2)) (+ (* 4 (/ (* (pow (log -1) 2) (pow (log (/ 1 (- x))) 2)) (pow (- (log -1) (log (/ 1 (- x)))) 6))) (+ (/ (* (log -1) (pow (log (/ 1 (- x))) 2)) (pow (- (log -1) (log (/ 1 (- x)))) 4)) (* 4 (/ (pow (log (/ 1 (- x))) 4) (pow (- (log -1) (log (/ 1 (- x)))) 6)))))))) (+ (/ (pow (log (/ 1 (- x))) 3) (pow (- (log -1) (log (/ 1 (- x)))) 4)) (+ (* 8 (/ (* (log -1) (pow (log (/ 1 (- x))) 3)) (pow (- (log -1) (log (/ 1 (- x)))) 6))) (* 4 (/ (* (log -1) (log (/ 1 (- x)))) (pow (- (log -1) (log (/ 1 (- x)))) 4)))))) (pow (/ 1 (- x)) 2)) (+ (* (- (* 2 (/ (* (log -1) (pow (log (/ 1 (- x))) 2)) (pow (- (log -1) (log (/ 1 (- x)))) 4))) (+ (* 2 (/ (log (/ 1 (- x))) (pow (- (log -1) (log (/ 1 (- x)))) 2))) (* 2 (/ (pow (log (/ 1 (- x))) 3) (pow (- (log -1) (log (/ 1 (- x)))) 4))))) (/ 1 (- x))) (/ (pow (log (/ 1 (- x))) 2) (pow (- (log -1) (log (/ 1 (- x)))) 2)))) into (- (+ (* 2 (/ (log (/ -1 x)) (* x (pow (- (log -1) (log (/ -1 x))) 2)))) (+ (* 4 (/ (* (pow (log (/ -1 x)) 2) (pow (log -1) 2)) (* (pow x 2) (pow (- (log -1) (log (/ -1 x))) 6)))) (+ (/ (pow (log (/ -1 x)) 2) (pow (- (log -1) (log (/ -1 x))) 2)) (+ (* 3 (/ (pow (log (/ -1 x)) 2) (* (pow x 2) (pow (- (log -1) (log (/ -1 x))) 4)))) (+ (/ (* (pow (log (/ -1 x)) 2) (log -1)) (* (pow x 2) (pow (- (log -1) (log (/ -1 x))) 4))) (+ (* 4 (/ (pow (log (/ -1 x)) 4) (* (pow x 2) (pow (- (log -1) (log (/ -1 x))) 6)))) (+ (/ 1 (* (pow x 2) (pow (- (log -1) (log (/ -1 x))) 2))) (+ (/ (log (/ -1 x)) (* (pow x 2) (pow (- (log -1) (log (/ -1 x))) 2))) (* 2 (/ (pow (log (/ -1 x)) 3) (* x (pow (- (log -1) (log (/ -1 x))) 4)))))))))))) (+ (* 4 (/ (* (log (/ -1 x)) (log -1)) (* (pow x 2) (pow (- (log -1) (log (/ -1 x))) 4)))) (+ (* 8 (/ (* (pow (log (/ -1 x)) 3) (log -1)) (* (pow x 2) (pow (- (log -1) (log (/ -1 x))) 6)))) (+ (* 2 (/ (* (pow (log (/ -1 x)) 2) (log -1)) (* x (pow (- (log -1) (log (/ -1 x))) 4)))) (/ (pow (log (/ -1 x)) 3) (* (pow x 2) (pow (- (log -1) (log (/ -1 x))) 4))))))) 3.623 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 3.623 * [backup-simplify]: Simplify (* (* (/ (log1p (- x)) (log1p x)) (/ (log1p (- x)) (log1p x))) (/ (log1p (- x)) (log1p x))) into (/ (pow (log1p (- x)) 3) (pow (log1p x) 3)) 3.623 * [approximate]: Taking taylor expansion of (/ (pow (log1p (- x)) 3) (pow (log1p x) 3)) in (x) around 0 3.623 * [taylor]: Taking taylor expansion of (/ (pow (log1p (- x)) 3) (pow (log1p x) 3)) in x 3.623 * [taylor]: Taking taylor expansion of (pow (log1p (- x)) 3) in x 3.623 * [taylor]: Taking taylor expansion of (log1p (- x)) in x 3.623 * [taylor]: Rewrote expression to (log (+ 1 (- x))) 3.623 * [taylor]: Taking taylor expansion of (+ 1 (- x)) in x 3.623 * [taylor]: Taking taylor expansion of 1 in x 3.623 * [backup-simplify]: Simplify 1 into 1 3.623 * [taylor]: Taking taylor expansion of (- x) in x 3.623 * [taylor]: Taking taylor expansion of x in x 3.623 * [backup-simplify]: Simplify 0 into 0 3.623 * [backup-simplify]: Simplify 1 into 1 3.624 * [backup-simplify]: Simplify (- 0) into 0 3.624 * [backup-simplify]: Simplify (+ 1 0) into 1 3.625 * [backup-simplify]: Simplify (log 1) into 0 3.625 * [backup-simplify]: Simplify (- 1) into -1 3.626 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.627 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 3.627 * [taylor]: Taking taylor expansion of (pow (log1p x) 3) in x 3.627 * [taylor]: Taking taylor expansion of (log1p x) in x 3.627 * [taylor]: Rewrote expression to (log (+ 1 x)) 3.627 * [taylor]: Taking taylor expansion of (+ 1 x) in x 3.627 * [taylor]: Taking taylor expansion of 1 in x 3.627 * [backup-simplify]: Simplify 1 into 1 3.627 * [taylor]: Taking taylor expansion of x in x 3.627 * [backup-simplify]: Simplify 0 into 0 3.627 * [backup-simplify]: Simplify 1 into 1 3.628 * [backup-simplify]: Simplify (+ 1 0) into 1 3.628 * [backup-simplify]: Simplify (log 1) into 0 3.628 * [backup-simplify]: Simplify (+ 0 1) into 1 3.630 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 3.630 * [backup-simplify]: Simplify (* -1 -1) into 1 3.631 * [backup-simplify]: Simplify (* -1 1) into -1 3.631 * [backup-simplify]: Simplify (* 1 1) into 1 3.632 * [backup-simplify]: Simplify (* 1 1) into 1 3.632 * [backup-simplify]: Simplify (/ -1 1) into -1 3.632 * [taylor]: Taking taylor expansion of (/ (pow (log1p (- x)) 3) (pow (log1p x) 3)) in x 3.632 * [taylor]: Taking taylor expansion of (pow (log1p (- x)) 3) in x 3.632 * [taylor]: Taking taylor expansion of (log1p (- x)) in x 3.632 * [taylor]: Rewrote expression to (log (+ 1 (- x))) 3.632 * [taylor]: Taking taylor expansion of (+ 1 (- x)) in x 3.632 * [taylor]: Taking taylor expansion of 1 in x 3.633 * [backup-simplify]: Simplify 1 into 1 3.633 * [taylor]: Taking taylor expansion of (- x) in x 3.633 * [taylor]: Taking taylor expansion of x in x 3.633 * [backup-simplify]: Simplify 0 into 0 3.633 * [backup-simplify]: Simplify 1 into 1 3.633 * [backup-simplify]: Simplify (- 0) into 0 3.633 * [backup-simplify]: Simplify (+ 1 0) into 1 3.634 * [backup-simplify]: Simplify (log 1) into 0 3.634 * [backup-simplify]: Simplify (- 1) into -1 3.634 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.635 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 3.635 * [taylor]: Taking taylor expansion of (pow (log1p x) 3) in x 3.635 * [taylor]: Taking taylor expansion of (log1p x) in x 3.635 * [taylor]: Rewrote expression to (log (+ 1 x)) 3.635 * [taylor]: Taking taylor expansion of (+ 1 x) in x 3.635 * [taylor]: Taking taylor expansion of 1 in x 3.635 * [backup-simplify]: Simplify 1 into 1 3.635 * [taylor]: Taking taylor expansion of x in x 3.635 * [backup-simplify]: Simplify 0 into 0 3.635 * [backup-simplify]: Simplify 1 into 1 3.635 * [backup-simplify]: Simplify (+ 1 0) into 1 3.636 * [backup-simplify]: Simplify (log 1) into 0 3.636 * [backup-simplify]: Simplify (+ 0 1) into 1 3.637 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 3.637 * [backup-simplify]: Simplify (* -1 -1) into 1 3.637 * [backup-simplify]: Simplify (* -1 1) into -1 3.637 * [backup-simplify]: Simplify (* 1 1) into 1 3.638 * [backup-simplify]: Simplify (* 1 1) into 1 3.638 * [backup-simplify]: Simplify (/ -1 1) into -1 3.638 * [backup-simplify]: Simplify -1 into -1 3.638 * [backup-simplify]: Simplify (- 0) into 0 3.639 * [backup-simplify]: Simplify (+ 0 0) into 0 3.640 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 3.640 * [backup-simplify]: Simplify (+ (* -1 -1/2) (* -1/2 -1)) into 1 3.641 * [backup-simplify]: Simplify (+ (* -1 1) (* -1/2 1)) into -3/2 3.641 * [backup-simplify]: Simplify (+ 0 0) into 0 3.643 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 3.643 * [backup-simplify]: Simplify (+ (* 1 -1/2) (* -1/2 1)) into -1 3.644 * [backup-simplify]: Simplify (+ (* 1 -1) (* -1/2 1)) into -3/2 3.644 * [backup-simplify]: Simplify (- (/ -3/2 1) (+ (* -1 (/ -3/2 1)))) into -3 3.644 * [backup-simplify]: Simplify -3 into -3 3.644 * [backup-simplify]: Simplify (- 0) into 0 3.645 * [backup-simplify]: Simplify (+ 0 0) into 0 3.649 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 -1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 -1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into -1/3 3.650 * [backup-simplify]: Simplify (+ (* -1 -1/3) (+ (* -1/2 -1/2) (* -1/3 -1))) into 11/12 3.651 * [backup-simplify]: Simplify (+ (* -1 11/12) (+ (* -1/2 1) (* -1/3 1))) into -7/4 3.651 * [backup-simplify]: Simplify (+ 0 0) into 0 3.654 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 3.654 * [backup-simplify]: Simplify (+ (* 1 1/3) (+ (* -1/2 -1/2) (* 1/3 1))) into 11/12 3.655 * [backup-simplify]: Simplify (+ (* 1 11/12) (+ (* -1/2 -1) (* 1/3 1))) into 7/4 3.656 * [backup-simplify]: Simplify (- (/ -7/4 1) (+ (* -1 (/ 7/4 1)) (* -3 (/ -3/2 1)))) into -9/2 3.656 * [backup-simplify]: Simplify -9/2 into -9/2 3.656 * [backup-simplify]: Simplify (+ (* -9/2 (pow x 2)) (+ (* -3 x) -1)) into (- (+ (* 3 x) (+ (* 9/2 (pow x 2)) 1))) 3.656 * [backup-simplify]: Simplify (* (* (/ (log1p (- (/ 1 x))) (log1p (/ 1 x))) (/ (log1p (- (/ 1 x))) (log1p (/ 1 x)))) (/ (log1p (- (/ 1 x))) (log1p (/ 1 x)))) into (/ (pow (log1p (- (/ 1 x))) 3) (pow (log1p (/ 1 x)) 3)) 3.656 * [approximate]: Taking taylor expansion of (/ (pow (log1p (- (/ 1 x))) 3) (pow (log1p (/ 1 x)) 3)) in (x) around 0 3.657 * [taylor]: Taking taylor expansion of (/ (pow (log1p (- (/ 1 x))) 3) (pow (log1p (/ 1 x)) 3)) in x 3.657 * [taylor]: Taking taylor expansion of (pow (log1p (- (/ 1 x))) 3) in x 3.657 * [taylor]: Taking taylor expansion of (log1p (- (/ 1 x))) in x 3.657 * [taylor]: Rewrote expression to (log (+ 1 (- (/ 1 x)))) 3.657 * [taylor]: Taking taylor expansion of (+ 1 (- (/ 1 x))) in x 3.657 * [taylor]: Taking taylor expansion of 1 in x 3.657 * [backup-simplify]: Simplify 1 into 1 3.657 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 3.657 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.657 * [taylor]: Taking taylor expansion of x in x 3.657 * [backup-simplify]: Simplify 0 into 0 3.657 * [backup-simplify]: Simplify 1 into 1 3.657 * [backup-simplify]: Simplify (/ 1 1) into 1 3.657 * [backup-simplify]: Simplify (- 1) into -1 3.658 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.658 * [backup-simplify]: Simplify (log -1) into (log -1) 3.658 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 3.658 * [taylor]: Taking taylor expansion of (pow (log1p (/ 1 x)) 3) in x 3.658 * [taylor]: Taking taylor expansion of (log1p (/ 1 x)) in x 3.658 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 x))) 3.658 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 x)) in x 3.658 * [taylor]: Taking taylor expansion of 1 in x 3.658 * [backup-simplify]: Simplify 1 into 1 3.658 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.658 * [taylor]: Taking taylor expansion of x in x 3.658 * [backup-simplify]: Simplify 0 into 0 3.659 * [backup-simplify]: Simplify 1 into 1 3.659 * [backup-simplify]: Simplify (/ 1 1) into 1 3.659 * [backup-simplify]: Simplify (+ 0 1) into 1 3.659 * [backup-simplify]: Simplify (log 1) into 0 3.660 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 3.660 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 3.661 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 3.661 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 3.662 * [backup-simplify]: Simplify (* (- (log -1) (log x)) (- (log -1) (log x))) into (pow (- (log -1) (log x)) 2) 3.662 * [backup-simplify]: Simplify (* (- (log -1) (log x)) (pow (- (log -1) (log x)) 2)) into (pow (- (log -1) (log x)) 3) 3.662 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 3.663 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 3.663 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 3.663 * [backup-simplify]: Simplify (* (- (log x)) (- (log x))) into (pow (log x) 2) 3.663 * [backup-simplify]: Simplify (* (- (log x)) (pow (log x) 2)) into (* -1 (pow (log x) 3)) 3.663 * [backup-simplify]: Simplify (/ (pow (- (log -1) (log x)) 3) (* -1 (pow (log x) 3))) into (* -1 (/ (pow (- (log -1) (log x)) 3) (pow (log x) 3))) 3.664 * [taylor]: Taking taylor expansion of (/ (pow (log1p (- (/ 1 x))) 3) (pow (log1p (/ 1 x)) 3)) in x 3.664 * [taylor]: Taking taylor expansion of (pow (log1p (- (/ 1 x))) 3) in x 3.664 * [taylor]: Taking taylor expansion of (log1p (- (/ 1 x))) in x 3.664 * [taylor]: Rewrote expression to (log (+ 1 (- (/ 1 x)))) 3.664 * [taylor]: Taking taylor expansion of (+ 1 (- (/ 1 x))) in x 3.664 * [taylor]: Taking taylor expansion of 1 in x 3.664 * [backup-simplify]: Simplify 1 into 1 3.664 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 3.664 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.664 * [taylor]: Taking taylor expansion of x in x 3.664 * [backup-simplify]: Simplify 0 into 0 3.664 * [backup-simplify]: Simplify 1 into 1 3.664 * [backup-simplify]: Simplify (/ 1 1) into 1 3.664 * [backup-simplify]: Simplify (- 1) into -1 3.665 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.665 * [backup-simplify]: Simplify (log -1) into (log -1) 3.665 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 3.665 * [taylor]: Taking taylor expansion of (pow (log1p (/ 1 x)) 3) in x 3.665 * [taylor]: Taking taylor expansion of (log1p (/ 1 x)) in x 3.665 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 x))) 3.665 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 x)) in x 3.665 * [taylor]: Taking taylor expansion of 1 in x 3.665 * [backup-simplify]: Simplify 1 into 1 3.665 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.665 * [taylor]: Taking taylor expansion of x in x 3.665 * [backup-simplify]: Simplify 0 into 0 3.665 * [backup-simplify]: Simplify 1 into 1 3.666 * [backup-simplify]: Simplify (/ 1 1) into 1 3.666 * [backup-simplify]: Simplify (+ 0 1) into 1 3.666 * [backup-simplify]: Simplify (log 1) into 0 3.667 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 3.667 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 3.668 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 3.668 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 3.669 * [backup-simplify]: Simplify (* (- (log -1) (log x)) (- (log -1) (log x))) into (pow (- (log -1) (log x)) 2) 3.669 * [backup-simplify]: Simplify (* (- (log -1) (log x)) (pow (- (log -1) (log x)) 2)) into (pow (- (log -1) (log x)) 3) 3.669 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 3.670 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 3.670 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 3.670 * [backup-simplify]: Simplify (* (- (log x)) (- (log x))) into (pow (log x) 2) 3.670 * [backup-simplify]: Simplify (* (- (log x)) (pow (log x) 2)) into (* -1 (pow (log x) 3)) 3.671 * [backup-simplify]: Simplify (/ (pow (- (log -1) (log x)) 3) (* -1 (pow (log x) 3))) into (* -1 (/ (pow (- (log -1) (log x)) 3) (pow (log x) 3))) 3.671 * [backup-simplify]: Simplify (* -1 (/ (pow (- (log -1) (log x)) 3) (pow (log x) 3))) into (* -1 (/ (pow (- (log -1) (log x)) 3) (pow (log x) 3))) 3.671 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 3.672 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 3.673 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.673 * [backup-simplify]: Simplify (- 0) into 0 3.673 * [backup-simplify]: Simplify (+ 1 0) into 1 3.674 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 3.675 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 3.675 * [backup-simplify]: Simplify (+ (* (- (log -1) (log x)) -1) (* -1 (- (log -1) (log x)))) into (- (* 2 (log x)) (* 2 (log -1))) 3.676 * [backup-simplify]: Simplify (+ (* (- (log -1) (log x)) (- (* 2 (log x)) (* 2 (log -1)))) (* -1 (pow (- (log -1) (log x)) 2))) into (- (* 6 (* (log -1) (log x))) (+ (* 3 (pow (log x) 2)) (* 3 (pow (log -1) 2)))) 3.677 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 3.677 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 3.678 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.678 * [backup-simplify]: Simplify (+ 1 0) into 1 3.679 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 3.680 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 3.680 * [backup-simplify]: Simplify (+ (* (- (log x)) 1) (* 1 (- (log x)))) into (- (* 2 (log x))) 3.680 * [backup-simplify]: Simplify (+ (* (- (log x)) (- (* 2 (log x)))) (* 1 (pow (log x) 2))) into (* 3 (pow (log x) 2)) 3.684 * [backup-simplify]: Simplify (- (/ (- (* 6 (* (log -1) (log x))) (+ (* 3 (pow (log x) 2)) (* 3 (pow (log -1) 2)))) (* -1 (pow (log x) 3))) (+ (* (* -1 (/ (pow (- (log -1) (log x)) 3) (pow (log x) 3))) (/ (* 3 (pow (log x) 2)) (* -1 (pow (log x) 3)))))) into (- (+ (* 6 (/ 1 (log x))) (* 12 (/ (pow (log -1) 2) (pow (log x) 3)))) (+ (* 3 (/ (pow (log -1) 3) (pow (log x) 4))) (* 15 (/ (log -1) (pow (log x) 2))))) 3.688 * [backup-simplify]: Simplify (- (+ (* 6 (/ 1 (log x))) (* 12 (/ (pow (log -1) 2) (pow (log x) 3)))) (+ (* 3 (/ (pow (log -1) 3) (pow (log x) 4))) (* 15 (/ (log -1) (pow (log x) 2))))) into (- (+ (* 6 (/ 1 (log x))) (* 12 (/ (pow (log -1) 2) (pow (log x) 3)))) (+ (* 3 (/ (pow (log -1) 3) (pow (log x) 4))) (* 15 (/ (log -1) (pow (log x) 2))))) 3.688 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 3.689 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 3.690 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.691 * [backup-simplify]: Simplify (- 0) into 0 3.691 * [backup-simplify]: Simplify (+ 0 0) into 0 3.694 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 3.695 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 3.696 * [backup-simplify]: Simplify (+ (* (- (log -1) (log x)) -1/2) (+ (* -1 -1) (* -1/2 (- (log -1) (log x))))) into (- (+ 1 (log x)) (log -1)) 3.699 * [backup-simplify]: Simplify (+ (* (- (log -1) (log x)) (- (+ 1 (log x)) (log -1))) (+ (* -1 (- (* 2 (log x)) (* 2 (log -1)))) (* -1/2 (pow (- (log -1) (log x)) 2)))) into (- (+ (* 3 (* (log -1) (log x))) (* 3 (log -1))) (+ (* 3/2 (pow (log x) 2)) (+ (* 3/2 (pow (log -1) 2)) (* 3 (log x))))) 3.699 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 3.700 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 3.701 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.701 * [backup-simplify]: Simplify (+ 0 0) into 0 3.704 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 3.705 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 3.705 * [backup-simplify]: Simplify (+ (* (- (log x)) -1/2) (+ (* 1 1) (* -1/2 (- (log x))))) into (+ 1 (log x)) 3.706 * [backup-simplify]: Simplify (+ (* (- (log x)) (+ 1 (log x))) (+ (* 1 (- (* 2 (log x)))) (* -1/2 (pow (log x) 2)))) into (- (+ (* 3/2 (pow (log x) 2)) (* 3 (log x)))) 3.715 * [backup-simplify]: Simplify (- (/ (- (+ (* 3 (* (log -1) (log x))) (* 3 (log -1))) (+ (* 3/2 (pow (log x) 2)) (+ (* 3/2 (pow (log -1) 2)) (* 3 (log x))))) (* -1 (pow (log x) 3))) (+ (* (* -1 (/ (pow (- (log -1) (log x)) 3) (pow (log x) 3))) (/ (- (+ (* 3/2 (pow (log x) 2)) (* 3 (log x)))) (* -1 (pow (log x) 3)))) (* (- (+ (* 6 (/ 1 (log x))) (* 12 (/ (pow (log -1) 2) (pow (log x) 3)))) (+ (* 3 (/ (pow (log -1) 3) (pow (log x) 4))) (* 15 (/ (log -1) (pow (log x) 2))))) (/ (* 3 (pow (log x) 2)) (* -1 (pow (log x) 3)))))) into (- (+ (* 18 (/ 1 (pow (log x) 2))) (+ (* 27 (/ (pow (log -1) 2) (pow (log x) 4))) (+ (* 3/2 (/ (pow (log -1) 3) (pow (log x) 4))) (* 3/2 (/ (log -1) (pow (log x) 2)))))) (+ (* 3 (/ (pow (log -1) 2) (pow (log x) 3))) (+ (* 6 (/ (pow (log -1) 3) (pow (log x) 5))) (* 39 (/ (log -1) (pow (log x) 3)))))) 3.721 * [backup-simplify]: Simplify (- (+ (* 18 (/ 1 (pow (log x) 2))) (+ (* 27 (/ (pow (log -1) 2) (pow (log x) 4))) (+ (* 3/2 (/ (pow (log -1) 3) (pow (log x) 4))) (* 3/2 (/ (log -1) (pow (log x) 2)))))) (+ (* 3 (/ (pow (log -1) 2) (pow (log x) 3))) (+ (* 6 (/ (pow (log -1) 3) (pow (log x) 5))) (* 39 (/ (log -1) (pow (log x) 3)))))) into (- (+ (* 18 (/ 1 (pow (log x) 2))) (+ (* 27 (/ (pow (log -1) 2) (pow (log x) 4))) (+ (* 3/2 (/ (pow (log -1) 3) (pow (log x) 4))) (* 3/2 (/ (log -1) (pow (log x) 2)))))) (+ (* 6 (/ (pow (log -1) 3) (pow (log x) 5))) (+ (* 39 (/ (log -1) (pow (log x) 3))) (* 3 (/ (pow (log -1) 2) (pow (log x) 3)))))) 3.732 * [backup-simplify]: Simplify (+ (* (- (+ (* 18 (/ 1 (pow (log (/ 1 x)) 2))) (+ (* 27 (/ (pow (log -1) 2) (pow (log (/ 1 x)) 4))) (+ (* 3/2 (/ (pow (log -1) 3) (pow (log (/ 1 x)) 4))) (* 3/2 (/ (log -1) (pow (log (/ 1 x)) 2)))))) (+ (* 6 (/ (pow (log -1) 3) (pow (log (/ 1 x)) 5))) (+ (* 39 (/ (log -1) (pow (log (/ 1 x)) 3))) (* 3 (/ (pow (log -1) 2) (pow (log (/ 1 x)) 3)))))) (pow (/ 1 x) 2)) (+ (* (- (+ (* 6 (/ 1 (log (/ 1 x)))) (* 12 (/ (pow (log -1) 2) (pow (log (/ 1 x)) 3)))) (+ (* 3 (/ (pow (log -1) 3) (pow (log (/ 1 x)) 4))) (* 15 (/ (log -1) (pow (log (/ 1 x)) 2))))) (/ 1 x)) (* -1 (/ (pow (- (log -1) (log (/ 1 x))) 3) (pow (log (/ 1 x)) 3))))) into (- (+ (* 12 (/ (pow (log -1) 2) (* (pow (log (/ 1 x)) 3) x))) (+ (* 3 (/ (pow (log -1) 2) (pow (log (/ 1 x)) 2))) (+ (* 18 (/ 1 (* (pow (log (/ 1 x)) 2) (pow x 2)))) (+ (* 3/2 (/ (pow (log -1) 3) (* (pow (log (/ 1 x)) 4) (pow x 2)))) (+ (* 3/2 (/ (log -1) (* (pow (log (/ 1 x)) 2) (pow x 2)))) (+ (* 27 (/ (pow (log -1) 2) (* (pow (log (/ 1 x)) 4) (pow x 2)))) (+ (* 6 (/ 1 (* (log (/ 1 x)) x))) 1))))))) (+ (/ (pow (log -1) 3) (pow (log (/ 1 x)) 3)) (+ (* 3 (/ (pow (log -1) 3) (* (pow (log (/ 1 x)) 4) x))) (+ (* 15 (/ (log -1) (* (pow (log (/ 1 x)) 2) x))) (+ (* 6 (/ (pow (log -1) 3) (* (pow (log (/ 1 x)) 5) (pow x 2)))) (+ (* 3 (/ (pow (log -1) 2) (* (pow (log (/ 1 x)) 3) (pow x 2)))) (+ (* 3 (/ (log -1) (log (/ 1 x)))) (* 39 (/ (log -1) (* (pow (log (/ 1 x)) 3) (pow x 2))))))))))) 3.733 * [backup-simplify]: Simplify (* (* (/ (log1p (- (/ 1 (- x)))) (log1p (/ 1 (- x)))) (/ (log1p (- (/ 1 (- x)))) (log1p (/ 1 (- x))))) (/ (log1p (- (/ 1 (- x)))) (log1p (/ 1 (- x))))) into (/ (pow (log1p (/ 1 x)) 3) (pow (log1p (/ -1 x)) 3)) 3.733 * [approximate]: Taking taylor expansion of (/ (pow (log1p (/ 1 x)) 3) (pow (log1p (/ -1 x)) 3)) in (x) around 0 3.733 * [taylor]: Taking taylor expansion of (/ (pow (log1p (/ 1 x)) 3) (pow (log1p (/ -1 x)) 3)) in x 3.733 * [taylor]: Taking taylor expansion of (pow (log1p (/ 1 x)) 3) in x 3.733 * [taylor]: Taking taylor expansion of (log1p (/ 1 x)) in x 3.733 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 x))) 3.733 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 x)) in x 3.733 * [taylor]: Taking taylor expansion of 1 in x 3.733 * [backup-simplify]: Simplify 1 into 1 3.733 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.733 * [taylor]: Taking taylor expansion of x in x 3.733 * [backup-simplify]: Simplify 0 into 0 3.733 * [backup-simplify]: Simplify 1 into 1 3.733 * [backup-simplify]: Simplify (/ 1 1) into 1 3.734 * [backup-simplify]: Simplify (+ 0 1) into 1 3.734 * [backup-simplify]: Simplify (log 1) into 0 3.735 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 3.735 * [taylor]: Taking taylor expansion of (pow (log1p (/ -1 x)) 3) in x 3.735 * [taylor]: Taking taylor expansion of (log1p (/ -1 x)) in x 3.735 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 x))) 3.735 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 x)) in x 3.735 * [taylor]: Taking taylor expansion of 1 in x 3.735 * [backup-simplify]: Simplify 1 into 1 3.735 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.735 * [taylor]: Taking taylor expansion of -1 in x 3.735 * [backup-simplify]: Simplify -1 into -1 3.735 * [taylor]: Taking taylor expansion of x in x 3.735 * [backup-simplify]: Simplify 0 into 0 3.735 * [backup-simplify]: Simplify 1 into 1 3.736 * [backup-simplify]: Simplify (/ -1 1) into -1 3.736 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.736 * [backup-simplify]: Simplify (log -1) into (log -1) 3.737 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 3.738 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 3.738 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 3.739 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 3.739 * [backup-simplify]: Simplify (* (- (log x)) (- (log x))) into (pow (log x) 2) 3.739 * [backup-simplify]: Simplify (* (- (log x)) (pow (log x) 2)) into (* -1 (pow (log x) 3)) 3.740 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 3.740 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 3.741 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 3.742 * [backup-simplify]: Simplify (* (- (log -1) (log x)) (- (log -1) (log x))) into (pow (- (log -1) (log x)) 2) 3.743 * [backup-simplify]: Simplify (* (- (log -1) (log x)) (pow (- (log -1) (log x)) 2)) into (pow (- (log -1) (log x)) 3) 3.744 * [backup-simplify]: Simplify (/ (* -1 (pow (log x) 3)) (pow (- (log -1) (log x)) 3)) into (* -1 (/ (pow (log x) 3) (pow (- (log -1) (log x)) 3))) 3.744 * [taylor]: Taking taylor expansion of (/ (pow (log1p (/ 1 x)) 3) (pow (log1p (/ -1 x)) 3)) in x 3.744 * [taylor]: Taking taylor expansion of (pow (log1p (/ 1 x)) 3) in x 3.744 * [taylor]: Taking taylor expansion of (log1p (/ 1 x)) in x 3.744 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 x))) 3.744 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 x)) in x 3.744 * [taylor]: Taking taylor expansion of 1 in x 3.744 * [backup-simplify]: Simplify 1 into 1 3.744 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.744 * [taylor]: Taking taylor expansion of x in x 3.744 * [backup-simplify]: Simplify 0 into 0 3.744 * [backup-simplify]: Simplify 1 into 1 3.745 * [backup-simplify]: Simplify (/ 1 1) into 1 3.745 * [backup-simplify]: Simplify (+ 0 1) into 1 3.745 * [backup-simplify]: Simplify (log 1) into 0 3.746 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 3.746 * [taylor]: Taking taylor expansion of (pow (log1p (/ -1 x)) 3) in x 3.746 * [taylor]: Taking taylor expansion of (log1p (/ -1 x)) in x 3.746 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 x))) 3.746 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 x)) in x 3.746 * [taylor]: Taking taylor expansion of 1 in x 3.746 * [backup-simplify]: Simplify 1 into 1 3.746 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.746 * [taylor]: Taking taylor expansion of -1 in x 3.746 * [backup-simplify]: Simplify -1 into -1 3.746 * [taylor]: Taking taylor expansion of x in x 3.746 * [backup-simplify]: Simplify 0 into 0 3.746 * [backup-simplify]: Simplify 1 into 1 3.747 * [backup-simplify]: Simplify (/ -1 1) into -1 3.747 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.748 * [backup-simplify]: Simplify (log -1) into (log -1) 3.748 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 3.749 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 3.749 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 3.750 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 3.750 * [backup-simplify]: Simplify (* (- (log x)) (- (log x))) into (pow (log x) 2) 3.750 * [backup-simplify]: Simplify (* (- (log x)) (pow (log x) 2)) into (* -1 (pow (log x) 3)) 3.751 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 3.752 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 3.752 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 3.753 * [backup-simplify]: Simplify (* (- (log -1) (log x)) (- (log -1) (log x))) into (pow (- (log -1) (log x)) 2) 3.754 * [backup-simplify]: Simplify (* (- (log -1) (log x)) (pow (- (log -1) (log x)) 2)) into (pow (- (log -1) (log x)) 3) 3.754 * [backup-simplify]: Simplify (/ (* -1 (pow (log x) 3)) (pow (- (log -1) (log x)) 3)) into (* -1 (/ (pow (log x) 3) (pow (- (log -1) (log x)) 3))) 3.755 * [backup-simplify]: Simplify (* -1 (/ (pow (log x) 3) (pow (- (log -1) (log x)) 3))) into (* -1 (/ (pow (log x) 3) (pow (- (log -1) (log x)) 3))) 3.755 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 3.755 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 3.756 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.756 * [backup-simplify]: Simplify (+ 1 0) into 1 3.757 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 3.757 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 3.757 * [backup-simplify]: Simplify (+ (* (- (log x)) 1) (* 1 (- (log x)))) into (- (* 2 (log x))) 3.757 * [backup-simplify]: Simplify (+ (* (- (log x)) (- (* 2 (log x)))) (* 1 (pow (log x) 2))) into (* 3 (pow (log x) 2)) 3.758 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 3.758 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 3.759 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.759 * [backup-simplify]: Simplify (+ 1 0) into 1 3.760 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 3.760 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 3.761 * [backup-simplify]: Simplify (+ (* (- (log -1) (log x)) -1) (* -1 (- (log -1) (log x)))) into (- (* 2 (log x)) (* 2 (log -1))) 3.762 * [backup-simplify]: Simplify (+ (* (- (log -1) (log x)) (- (* 2 (log x)) (* 2 (log -1)))) (* -1 (pow (- (log -1) (log x)) 2))) into (- (* 6 (* (log -1) (log x))) (+ (* 3 (pow (log x) 2)) (* 3 (pow (log -1) 2)))) 3.766 * [backup-simplify]: Simplify (- (/ (* 3 (pow (log x) 2)) (pow (- (log -1) (log x)) 3)) (+ (* (* -1 (/ (pow (log x) 3) (pow (- (log -1) (log x)) 3))) (/ (- (* 6 (* (log -1) (log x))) (+ (* 3 (pow (log x) 2)) (* 3 (pow (log -1) 2)))) (pow (- (log -1) (log x)) 3))))) into (- (+ (* 6 (/ (* (log -1) (pow (log x) 4)) (pow (- (log -1) (log x)) 6))) (* 3 (/ (pow (log x) 2) (pow (- (log -1) (log x)) 3)))) (+ (* 3 (/ (* (pow (log -1) 2) (pow (log x) 3)) (pow (- (log -1) (log x)) 6))) (* 3 (/ (pow (log x) 5) (pow (- (log -1) (log x)) 6))))) 3.769 * [backup-simplify]: Simplify (- (+ (* 6 (/ (* (log -1) (pow (log x) 4)) (pow (- (log -1) (log x)) 6))) (* 3 (/ (pow (log x) 2) (pow (- (log -1) (log x)) 3)))) (+ (* 3 (/ (* (pow (log -1) 2) (pow (log x) 3)) (pow (- (log -1) (log x)) 6))) (* 3 (/ (pow (log x) 5) (pow (- (log -1) (log x)) 6))))) into (- (+ (* 6 (/ (* (log -1) (pow (log x) 4)) (pow (- (log -1) (log x)) 6))) (* 3 (/ (pow (log x) 2) (pow (- (log -1) (log x)) 3)))) (+ (* 3 (/ (* (pow (log -1) 2) (pow (log x) 3)) (pow (- (log -1) (log x)) 6))) (* 3 (/ (pow (log x) 5) (pow (- (log -1) (log x)) 6))))) 3.770 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 3.770 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 3.771 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.771 * [backup-simplify]: Simplify (+ 0 0) into 0 3.772 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 3.773 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 3.773 * [backup-simplify]: Simplify (+ (* (- (log x)) -1/2) (+ (* 1 1) (* -1/2 (- (log x))))) into (+ 1 (log x)) 3.773 * [backup-simplify]: Simplify (+ (* (- (log x)) (+ 1 (log x))) (+ (* 1 (- (* 2 (log x)))) (* -1/2 (pow (log x) 2)))) into (- (+ (* 3/2 (pow (log x) 2)) (* 3 (log x)))) 3.774 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 3.774 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 3.775 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.775 * [backup-simplify]: Simplify (+ 0 0) into 0 3.777 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 3.777 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 3.778 * [backup-simplify]: Simplify (+ (* (- (log -1) (log x)) -1/2) (+ (* -1 -1) (* -1/2 (- (log -1) (log x))))) into (- (+ 1 (log x)) (log -1)) 3.780 * [backup-simplify]: Simplify (+ (* (- (log -1) (log x)) (- (+ 1 (log x)) (log -1))) (+ (* -1 (- (* 2 (log x)) (* 2 (log -1)))) (* -1/2 (pow (- (log -1) (log x)) 2)))) into (- (+ (* 3 (* (log -1) (log x))) (* 3 (log -1))) (+ (* 3/2 (pow (log x) 2)) (+ (* 3/2 (pow (log -1) 2)) (* 3 (log x))))) 3.788 * [backup-simplify]: Simplify (- (/ (- (+ (* 3/2 (pow (log x) 2)) (* 3 (log x)))) (pow (- (log -1) (log x)) 3)) (+ (* (* -1 (/ (pow (log x) 3) (pow (- (log -1) (log x)) 3))) (/ (- (+ (* 3 (* (log -1) (log x))) (* 3 (log -1))) (+ (* 3/2 (pow (log x) 2)) (+ (* 3/2 (pow (log -1) 2)) (* 3 (log x))))) (pow (- (log -1) (log x)) 3))) (* (- (+ (* 6 (/ (* (log -1) (pow (log x) 4)) (pow (- (log -1) (log x)) 6))) (* 3 (/ (pow (log x) 2) (pow (- (log -1) (log x)) 3)))) (+ (* 3 (/ (* (pow (log -1) 2) (pow (log x) 3)) (pow (- (log -1) (log x)) 6))) (* 3 (/ (pow (log x) 5) (pow (- (log -1) (log x)) 6))))) (/ (- (* 6 (* (log -1) (log x))) (+ (* 3 (pow (log x) 2)) (* 3 (pow (log -1) 2)))) (pow (- (log -1) (log x)) 3))))) into (- (+ (* 36 (/ (* (pow (log -1) 3) (pow (log x) 4)) (pow (- (log -1) (log x)) 9))) (+ (* 3 (/ (* (log -1) (pow (log x) 4)) (pow (- (log -1) (log x)) 6))) (+ (* 6 (/ (pow (log x) 4) (pow (- (log -1) (log x)) 6))) (+ (* 9 (/ (* (pow (log -1) 2) (pow (log x) 2)) (pow (- (log -1) (log x)) 6))) (* 36 (/ (* (log -1) (pow (log x) 6)) (pow (- (log -1) (log x)) 9))))))) (+ (* 15 (/ (* (log -1) (pow (log x) 3)) (pow (- (log -1) (log x)) 6))) (+ (* 3/2 (/ (* (pow (log -1) 2) (pow (log x) 3)) (pow (- (log -1) (log x)) 6))) (+ (* 3/2 (/ (pow (log x) 2) (pow (- (log -1) (log x)) 3))) (+ (* 3 (/ (log x) (pow (- (log -1) (log x)) 3))) (+ (* 3/2 (/ (pow (log x) 5) (pow (- (log -1) (log x)) 6))) (+ (* 54 (/ (* (pow (log -1) 2) (pow (log x) 5)) (pow (- (log -1) (log x)) 9))) (+ (* 9 (/ (pow (log x) 7) (pow (- (log -1) (log x)) 9))) (* 9 (/ (* (pow (log -1) 4) (pow (log x) 3)) (pow (- (log -1) (log x)) 9))))))))))) 3.800 * [backup-simplify]: Simplify (- (+ (* 36 (/ (* (pow (log -1) 3) (pow (log x) 4)) (pow (- (log -1) (log x)) 9))) (+ (* 3 (/ (* (log -1) (pow (log x) 4)) (pow (- (log -1) (log x)) 6))) (+ (* 6 (/ (pow (log x) 4) (pow (- (log -1) (log x)) 6))) (+ (* 9 (/ (* (pow (log -1) 2) (pow (log x) 2)) (pow (- (log -1) (log x)) 6))) (* 36 (/ (* (log -1) (pow (log x) 6)) (pow (- (log -1) (log x)) 9))))))) (+ (* 15 (/ (* (log -1) (pow (log x) 3)) (pow (- (log -1) (log x)) 6))) (+ (* 3/2 (/ (* (pow (log -1) 2) (pow (log x) 3)) (pow (- (log -1) (log x)) 6))) (+ (* 3/2 (/ (pow (log x) 2) (pow (- (log -1) (log x)) 3))) (+ (* 3 (/ (log x) (pow (- (log -1) (log x)) 3))) (+ (* 3/2 (/ (pow (log x) 5) (pow (- (log -1) (log x)) 6))) (+ (* 54 (/ (* (pow (log -1) 2) (pow (log x) 5)) (pow (- (log -1) (log x)) 9))) (+ (* 9 (/ (pow (log x) 7) (pow (- (log -1) (log x)) 9))) (* 9 (/ (* (pow (log -1) 4) (pow (log x) 3)) (pow (- (log -1) (log x)) 9))))))))))) into (- (+ (* 36 (/ (* (pow (log -1) 3) (pow (log x) 4)) (pow (- (log -1) (log x)) 9))) (+ (* 3 (/ (* (log -1) (pow (log x) 4)) (pow (- (log -1) (log x)) 6))) (+ (* 9 (/ (* (pow (log -1) 2) (pow (log x) 2)) (pow (- (log -1) (log x)) 6))) (+ (* 36 (/ (* (log -1) (pow (log x) 6)) (pow (- (log -1) (log x)) 9))) (* 6 (/ (pow (log x) 4) (pow (- (log -1) (log x)) 6))))))) (+ (* 15 (/ (* (log -1) (pow (log x) 3)) (pow (- (log -1) (log x)) 6))) (+ (* 3/2 (/ (* (pow (log -1) 2) (pow (log x) 3)) (pow (- (log -1) (log x)) 6))) (+ (* 3/2 (/ (pow (log x) 2) (pow (- (log -1) (log x)) 3))) (+ (* 9 (/ (pow (log x) 7) (pow (- (log -1) (log x)) 9))) (+ (* 3 (/ (log x) (pow (- (log -1) (log x)) 3))) (+ (* 3/2 (/ (pow (log x) 5) (pow (- (log -1) (log x)) 6))) (+ (* 54 (/ (* (pow (log -1) 2) (pow (log x) 5)) (pow (- (log -1) (log x)) 9))) (* 9 (/ (* (pow (log -1) 4) (pow (log x) 3)) (pow (- (log -1) (log x)) 9))))))))))) 3.816 * [backup-simplify]: Simplify (+ (* (- (+ (* 36 (/ (* (pow (log -1) 3) (pow (log (/ 1 (- x))) 4)) (pow (- (log -1) (log (/ 1 (- x)))) 9))) (+ (* 3 (/ (* (log -1) (pow (log (/ 1 (- x))) 4)) (pow (- (log -1) (log (/ 1 (- x)))) 6))) (+ (* 9 (/ (* (pow (log -1) 2) (pow (log (/ 1 (- x))) 2)) (pow (- (log -1) (log (/ 1 (- x)))) 6))) (+ (* 36 (/ (* (log -1) (pow (log (/ 1 (- x))) 6)) (pow (- (log -1) (log (/ 1 (- x)))) 9))) (* 6 (/ (pow (log (/ 1 (- x))) 4) (pow (- (log -1) (log (/ 1 (- x)))) 6))))))) (+ (* 15 (/ (* (log -1) (pow (log (/ 1 (- x))) 3)) (pow (- (log -1) (log (/ 1 (- x)))) 6))) (+ (* 3/2 (/ (* (pow (log -1) 2) (pow (log (/ 1 (- x))) 3)) (pow (- (log -1) (log (/ 1 (- x)))) 6))) (+ (* 3/2 (/ (pow (log (/ 1 (- x))) 2) (pow (- (log -1) (log (/ 1 (- x)))) 3))) (+ (* 9 (/ (pow (log (/ 1 (- x))) 7) (pow (- (log -1) (log (/ 1 (- x)))) 9))) (+ (* 3 (/ (log (/ 1 (- x))) (pow (- (log -1) (log (/ 1 (- x)))) 3))) (+ (* 3/2 (/ (pow (log (/ 1 (- x))) 5) (pow (- (log -1) (log (/ 1 (- x)))) 6))) (+ (* 54 (/ (* (pow (log -1) 2) (pow (log (/ 1 (- x))) 5)) (pow (- (log -1) (log (/ 1 (- x)))) 9))) (* 9 (/ (* (pow (log -1) 4) (pow (log (/ 1 (- x))) 3)) (pow (- (log -1) (log (/ 1 (- x)))) 9))))))))))) (pow (/ 1 (- x)) 2)) (+ (* (- (+ (* 6 (/ (* (log -1) (pow (log (/ 1 (- x))) 4)) (pow (- (log -1) (log (/ 1 (- x)))) 6))) (* 3 (/ (pow (log (/ 1 (- x))) 2) (pow (- (log -1) (log (/ 1 (- x)))) 3)))) (+ (* 3 (/ (* (pow (log -1) 2) (pow (log (/ 1 (- x))) 3)) (pow (- (log -1) (log (/ 1 (- x)))) 6))) (* 3 (/ (pow (log (/ 1 (- x))) 5) (pow (- (log -1) (log (/ 1 (- x)))) 6))))) (/ 1 (- x))) (* -1 (/ (pow (log (/ 1 (- x))) 3) (pow (- (log -1) (log (/ 1 (- x)))) 3))))) into (- (+ (* 9 (/ (* (pow (log (/ -1 x)) 2) (pow (log -1) 2)) (* (pow x 2) (pow (- (log -1) (log (/ -1 x))) 6)))) (+ (* 36 (/ (* (pow (log (/ -1 x)) 6) (log -1)) (* (pow x 2) (pow (- (log -1) (log (/ -1 x))) 9)))) (+ (* 3 (/ (pow (log (/ -1 x)) 5) (* x (pow (- (log -1) (log (/ -1 x))) 6)))) (+ (* 36 (/ (* (pow (log (/ -1 x)) 4) (pow (log -1) 3)) (* (pow x 2) (pow (- (log -1) (log (/ -1 x))) 9)))) (+ (* 6 (/ (pow (log (/ -1 x)) 4) (* (pow x 2) (pow (- (log -1) (log (/ -1 x))) 6)))) (+ (* 3 (/ (* (pow (log (/ -1 x)) 4) (log -1)) (* (pow x 2) (pow (- (log -1) (log (/ -1 x))) 6)))) (* 3 (/ (* (pow (log (/ -1 x)) 3) (pow (log -1) 2)) (* x (pow (- (log -1) (log (/ -1 x))) 6)))))))))) (+ (* 15 (/ (* (pow (log (/ -1 x)) 3) (log -1)) (* (pow x 2) (pow (- (log -1) (log (/ -1 x))) 6)))) (+ (* 3 (/ (log (/ -1 x)) (* (pow x 2) (pow (- (log -1) (log (/ -1 x))) 3)))) (+ (* 9 (/ (* (pow (log (/ -1 x)) 3) (pow (log -1) 4)) (* (pow x 2) (pow (- (log -1) (log (/ -1 x))) 9)))) (+ (* 3/2 (/ (* (pow (log (/ -1 x)) 3) (pow (log -1) 2)) (* (pow x 2) (pow (- (log -1) (log (/ -1 x))) 6)))) (+ (* 9 (/ (pow (log (/ -1 x)) 7) (* (pow x 2) (pow (- (log -1) (log (/ -1 x))) 9)))) (+ (* 6 (/ (* (pow (log (/ -1 x)) 4) (log -1)) (* x (pow (- (log -1) (log (/ -1 x))) 6)))) (+ (* 3 (/ (pow (log (/ -1 x)) 2) (* x (pow (- (log -1) (log (/ -1 x))) 3)))) (+ (/ (pow (log (/ -1 x)) 3) (pow (- (log -1) (log (/ -1 x))) 3)) (+ (* 3/2 (/ (pow (log (/ -1 x)) 2) (* (pow x 2) (pow (- (log -1) (log (/ -1 x))) 3)))) (+ (* 3/2 (/ (pow (log (/ -1 x)) 5) (* (pow x 2) (pow (- (log -1) (log (/ -1 x))) 6)))) (* 54 (/ (* (pow (log (/ -1 x)) 5) (pow (log -1) 2)) (* (pow x 2) (pow (- (log -1) (log (/ -1 x))) 9))))))))))))))) 3.816 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 3.816 * [backup-simplify]: Simplify (/ (log1p (- x)) (log1p x)) into (/ (log1p (- x)) (log1p x)) 3.817 * [approximate]: Taking taylor expansion of (/ (log1p (- x)) (log1p x)) in (x) around 0 3.817 * [taylor]: Taking taylor expansion of (/ (log1p (- x)) (log1p x)) in x 3.817 * [taylor]: Taking taylor expansion of (log1p (- x)) in x 3.817 * [taylor]: Rewrote expression to (log (+ 1 (- x))) 3.817 * [taylor]: Taking taylor expansion of (+ 1 (- x)) in x 3.817 * [taylor]: Taking taylor expansion of 1 in x 3.817 * [backup-simplify]: Simplify 1 into 1 3.817 * [taylor]: Taking taylor expansion of (- x) in x 3.817 * [taylor]: Taking taylor expansion of x in x 3.817 * [backup-simplify]: Simplify 0 into 0 3.817 * [backup-simplify]: Simplify 1 into 1 3.817 * [backup-simplify]: Simplify (- 0) into 0 3.817 * [backup-simplify]: Simplify (+ 1 0) into 1 3.818 * [backup-simplify]: Simplify (log 1) into 0 3.818 * [taylor]: Taking taylor expansion of (log1p x) in x 3.818 * [taylor]: Rewrote expression to (log (+ 1 x)) 3.818 * [taylor]: Taking taylor expansion of (+ 1 x) in x 3.818 * [taylor]: Taking taylor expansion of 1 in x 3.818 * [backup-simplify]: Simplify 1 into 1 3.818 * [taylor]: Taking taylor expansion of x in x 3.818 * [backup-simplify]: Simplify 0 into 0 3.818 * [backup-simplify]: Simplify 1 into 1 3.818 * [backup-simplify]: Simplify (+ 1 0) into 1 3.818 * [backup-simplify]: Simplify (log 1) into 0 3.818 * [backup-simplify]: Simplify (- 1) into -1 3.819 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.819 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 3.820 * [backup-simplify]: Simplify (+ 0 1) into 1 3.820 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 3.821 * [backup-simplify]: Simplify (/ -1 1) into -1 3.821 * [taylor]: Taking taylor expansion of (/ (log1p (- x)) (log1p x)) in x 3.821 * [taylor]: Taking taylor expansion of (log1p (- x)) in x 3.821 * [taylor]: Rewrote expression to (log (+ 1 (- x))) 3.821 * [taylor]: Taking taylor expansion of (+ 1 (- x)) in x 3.821 * [taylor]: Taking taylor expansion of 1 in x 3.821 * [backup-simplify]: Simplify 1 into 1 3.821 * [taylor]: Taking taylor expansion of (- x) in x 3.821 * [taylor]: Taking taylor expansion of x in x 3.821 * [backup-simplify]: Simplify 0 into 0 3.821 * [backup-simplify]: Simplify 1 into 1 3.821 * [backup-simplify]: Simplify (- 0) into 0 3.821 * [backup-simplify]: Simplify (+ 1 0) into 1 3.822 * [backup-simplify]: Simplify (log 1) into 0 3.822 * [taylor]: Taking taylor expansion of (log1p x) in x 3.822 * [taylor]: Rewrote expression to (log (+ 1 x)) 3.822 * [taylor]: Taking taylor expansion of (+ 1 x) in x 3.822 * [taylor]: Taking taylor expansion of 1 in x 3.822 * [backup-simplify]: Simplify 1 into 1 3.822 * [taylor]: Taking taylor expansion of x in x 3.822 * [backup-simplify]: Simplify 0 into 0 3.822 * [backup-simplify]: Simplify 1 into 1 3.822 * [backup-simplify]: Simplify (+ 1 0) into 1 3.822 * [backup-simplify]: Simplify (log 1) into 0 3.823 * [backup-simplify]: Simplify (- 1) into -1 3.823 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.824 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 3.824 * [backup-simplify]: Simplify (+ 0 1) into 1 3.825 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 3.825 * [backup-simplify]: Simplify (/ -1 1) into -1 3.825 * [backup-simplify]: Simplify -1 into -1 3.825 * [backup-simplify]: Simplify (- 0) into 0 3.826 * [backup-simplify]: Simplify (+ 0 0) into 0 3.827 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 3.827 * [backup-simplify]: Simplify (+ 0 0) into 0 3.829 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 3.830 * [backup-simplify]: Simplify (- (/ -1/2 1) (+ (* -1 (/ -1/2 1)))) into -1 3.830 * [backup-simplify]: Simplify -1 into -1 3.830 * [backup-simplify]: Simplify (- 0) into 0 3.830 * [backup-simplify]: Simplify (+ 0 0) into 0 3.836 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 -1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 -1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into -1/3 3.836 * [backup-simplify]: Simplify (+ 0 0) into 0 3.841 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 3.843 * [backup-simplify]: Simplify (- (/ -1/3 1) (+ (* -1 (/ 1/3 1)) (* -1 (/ -1/2 1)))) into -1/2 3.843 * [backup-simplify]: Simplify -1/2 into -1/2 3.843 * [backup-simplify]: Simplify (+ (* -1/2 (pow x 2)) (+ (* -1 x) -1)) into (- (+ x (+ (* 1/2 (pow x 2)) 1))) 3.843 * [backup-simplify]: Simplify (/ (log1p (- (/ 1 x))) (log1p (/ 1 x))) into (/ (log1p (- (/ 1 x))) (log1p (/ 1 x))) 3.843 * [approximate]: Taking taylor expansion of (/ (log1p (- (/ 1 x))) (log1p (/ 1 x))) in (x) around 0 3.843 * [taylor]: Taking taylor expansion of (/ (log1p (- (/ 1 x))) (log1p (/ 1 x))) in x 3.843 * [taylor]: Taking taylor expansion of (log1p (- (/ 1 x))) in x 3.844 * [taylor]: Rewrote expression to (log (+ 1 (- (/ 1 x)))) 3.844 * [taylor]: Taking taylor expansion of (+ 1 (- (/ 1 x))) in x 3.844 * [taylor]: Taking taylor expansion of 1 in x 3.844 * [backup-simplify]: Simplify 1 into 1 3.844 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 3.844 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.844 * [taylor]: Taking taylor expansion of x in x 3.844 * [backup-simplify]: Simplify 0 into 0 3.844 * [backup-simplify]: Simplify 1 into 1 3.844 * [backup-simplify]: Simplify (/ 1 1) into 1 3.845 * [backup-simplify]: Simplify (- 1) into -1 3.845 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.846 * [backup-simplify]: Simplify (log -1) into (log -1) 3.846 * [taylor]: Taking taylor expansion of (log1p (/ 1 x)) in x 3.846 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 x))) 3.846 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 x)) in x 3.846 * [taylor]: Taking taylor expansion of 1 in x 3.846 * [backup-simplify]: Simplify 1 into 1 3.846 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.846 * [taylor]: Taking taylor expansion of x in x 3.846 * [backup-simplify]: Simplify 0 into 0 3.846 * [backup-simplify]: Simplify 1 into 1 3.846 * [backup-simplify]: Simplify (/ 1 1) into 1 3.847 * [backup-simplify]: Simplify (+ 0 1) into 1 3.847 * [backup-simplify]: Simplify (log 1) into 0 3.848 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 3.848 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 3.849 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 3.850 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 3.850 * [backup-simplify]: Simplify (/ (- (log -1) (log x)) (- (log x))) into (* -1 (/ (- (log -1) (log x)) (log x))) 3.850 * [taylor]: Taking taylor expansion of (/ (log1p (- (/ 1 x))) (log1p (/ 1 x))) in x 3.850 * [taylor]: Taking taylor expansion of (log1p (- (/ 1 x))) in x 3.850 * [taylor]: Rewrote expression to (log (+ 1 (- (/ 1 x)))) 3.850 * [taylor]: Taking taylor expansion of (+ 1 (- (/ 1 x))) in x 3.850 * [taylor]: Taking taylor expansion of 1 in x 3.850 * [backup-simplify]: Simplify 1 into 1 3.850 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 3.850 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.850 * [taylor]: Taking taylor expansion of x in x 3.850 * [backup-simplify]: Simplify 0 into 0 3.850 * [backup-simplify]: Simplify 1 into 1 3.851 * [backup-simplify]: Simplify (/ 1 1) into 1 3.851 * [backup-simplify]: Simplify (- 1) into -1 3.852 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.852 * [backup-simplify]: Simplify (log -1) into (log -1) 3.852 * [taylor]: Taking taylor expansion of (log1p (/ 1 x)) in x 3.852 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 x))) 3.852 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 x)) in x 3.852 * [taylor]: Taking taylor expansion of 1 in x 3.852 * [backup-simplify]: Simplify 1 into 1 3.852 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.852 * [taylor]: Taking taylor expansion of x in x 3.852 * [backup-simplify]: Simplify 0 into 0 3.852 * [backup-simplify]: Simplify 1 into 1 3.853 * [backup-simplify]: Simplify (/ 1 1) into 1 3.853 * [backup-simplify]: Simplify (+ 0 1) into 1 3.853 * [backup-simplify]: Simplify (log 1) into 0 3.854 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 3.855 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 3.855 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 3.856 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 3.856 * [backup-simplify]: Simplify (/ (- (log -1) (log x)) (- (log x))) into (* -1 (/ (- (log -1) (log x)) (log x))) 3.857 * [backup-simplify]: Simplify (* -1 (/ (- (log -1) (log x)) (log x))) into (* -1 (/ (- (log -1) (log x)) (log x))) 3.858 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.858 * [backup-simplify]: Simplify (- 0) into 0 3.861 * [backup-simplify]: Simplify (+ 1 0) into 1 3.862 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 3.863 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 3.863 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.864 * [backup-simplify]: Simplify (+ 1 0) into 1 3.865 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 3.866 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 3.866 * [backup-simplify]: Simplify (- (/ -1 (- (log x))) (+ (* (* -1 (/ (- (log -1) (log x)) (log x))) (/ 1 (- (log x)))))) into (- (* 2 (/ 1 (log x))) (/ (log -1) (pow (log x) 2))) 3.867 * [backup-simplify]: Simplify (- (* 2 (/ 1 (log x))) (/ (log -1) (pow (log x) 2))) into (- (* 2 (/ 1 (log x))) (/ (log -1) (pow (log x) 2))) 3.868 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.868 * [backup-simplify]: Simplify (- 0) into 0 3.869 * [backup-simplify]: Simplify (+ 0 0) into 0 3.871 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 3.872 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 3.873 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.873 * [backup-simplify]: Simplify (+ 0 0) into 0 3.876 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 3.877 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 3.877 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 3.879 * [backup-simplify]: Simplify (- (/ -1/2 (- (log x))) (+ (* (* -1 (/ (- (log -1) (log x)) (log x))) (/ -1/2 (- (log x)))) (* (- (* 2 (/ 1 (log x))) (/ (log -1) (pow (log x) 2))) (/ 1 (- (log x)))))) into (- (+ (* 1/2 (/ (log -1) (pow (log x) 2))) (* 2 (/ 1 (pow (log x) 2)))) (/ (log -1) (pow (log x) 3))) 3.880 * [backup-simplify]: Simplify (- (+ (* 1/2 (/ (log -1) (pow (log x) 2))) (* 2 (/ 1 (pow (log x) 2)))) (/ (log -1) (pow (log x) 3))) into (- (+ (* 1/2 (/ (log -1) (pow (log x) 2))) (* 2 (/ 1 (pow (log x) 2)))) (/ (log -1) (pow (log x) 3))) 3.883 * [backup-simplify]: Simplify (+ (* (- (+ (* 1/2 (/ (log -1) (pow (log (/ 1 x)) 2))) (* 2 (/ 1 (pow (log (/ 1 x)) 2)))) (/ (log -1) (pow (log (/ 1 x)) 3))) (pow (/ 1 x) 2)) (+ (* (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (/ 1 x)) (* -1 (/ (- (log -1) (log (/ 1 x))) (log (/ 1 x)))))) into (- (+ (* 2 (/ 1 (* (pow (log (/ 1 x)) 2) (pow x 2)))) (+ (* 2 (/ 1 (* (log (/ 1 x)) x))) (+ (* 1/2 (/ (log -1) (* (pow (log (/ 1 x)) 2) (pow x 2)))) 1))) (+ (/ (log -1) (* (pow (log (/ 1 x)) 3) (pow x 2))) (+ (/ (log -1) (log (/ 1 x))) (/ (log -1) (* (pow (log (/ 1 x)) 2) x))))) 3.883 * [backup-simplify]: Simplify (/ (log1p (- (/ 1 (- x)))) (log1p (/ 1 (- x)))) into (/ (log1p (/ 1 x)) (log1p (/ -1 x))) 3.883 * [approximate]: Taking taylor expansion of (/ (log1p (/ 1 x)) (log1p (/ -1 x))) in (x) around 0 3.883 * [taylor]: Taking taylor expansion of (/ (log1p (/ 1 x)) (log1p (/ -1 x))) in x 3.883 * [taylor]: Taking taylor expansion of (log1p (/ 1 x)) in x 3.884 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 x))) 3.884 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 x)) in x 3.884 * [taylor]: Taking taylor expansion of 1 in x 3.884 * [backup-simplify]: Simplify 1 into 1 3.884 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.884 * [taylor]: Taking taylor expansion of x in x 3.884 * [backup-simplify]: Simplify 0 into 0 3.884 * [backup-simplify]: Simplify 1 into 1 3.884 * [backup-simplify]: Simplify (/ 1 1) into 1 3.885 * [backup-simplify]: Simplify (+ 0 1) into 1 3.885 * [backup-simplify]: Simplify (log 1) into 0 3.885 * [taylor]: Taking taylor expansion of (log1p (/ -1 x)) in x 3.885 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 x))) 3.885 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 x)) in x 3.885 * [taylor]: Taking taylor expansion of 1 in x 3.885 * [backup-simplify]: Simplify 1 into 1 3.885 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.885 * [taylor]: Taking taylor expansion of -1 in x 3.885 * [backup-simplify]: Simplify -1 into -1 3.885 * [taylor]: Taking taylor expansion of x in x 3.885 * [backup-simplify]: Simplify 0 into 0 3.885 * [backup-simplify]: Simplify 1 into 1 3.886 * [backup-simplify]: Simplify (/ -1 1) into -1 3.886 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.887 * [backup-simplify]: Simplify (log -1) into (log -1) 3.887 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 3.888 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 3.888 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 3.889 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 3.890 * [backup-simplify]: Simplify (/ (- (log x)) (- (log -1) (log x))) into (* -1 (/ (log x) (- (log -1) (log x)))) 3.890 * [taylor]: Taking taylor expansion of (/ (log1p (/ 1 x)) (log1p (/ -1 x))) in x 3.890 * [taylor]: Taking taylor expansion of (log1p (/ 1 x)) in x 3.890 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 x))) 3.890 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 x)) in x 3.890 * [taylor]: Taking taylor expansion of 1 in x 3.890 * [backup-simplify]: Simplify 1 into 1 3.890 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.890 * [taylor]: Taking taylor expansion of x in x 3.890 * [backup-simplify]: Simplify 0 into 0 3.890 * [backup-simplify]: Simplify 1 into 1 3.890 * [backup-simplify]: Simplify (/ 1 1) into 1 3.891 * [backup-simplify]: Simplify (+ 0 1) into 1 3.891 * [backup-simplify]: Simplify (log 1) into 0 3.891 * [taylor]: Taking taylor expansion of (log1p (/ -1 x)) in x 3.891 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 x))) 3.891 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 x)) in x 3.891 * [taylor]: Taking taylor expansion of 1 in x 3.891 * [backup-simplify]: Simplify 1 into 1 3.892 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.892 * [taylor]: Taking taylor expansion of -1 in x 3.892 * [backup-simplify]: Simplify -1 into -1 3.892 * [taylor]: Taking taylor expansion of x in x 3.892 * [backup-simplify]: Simplify 0 into 0 3.892 * [backup-simplify]: Simplify 1 into 1 3.892 * [backup-simplify]: Simplify (/ -1 1) into -1 3.893 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.893 * [backup-simplify]: Simplify (log -1) into (log -1) 3.893 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 3.894 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 3.895 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 3.895 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 3.896 * [backup-simplify]: Simplify (/ (- (log x)) (- (log -1) (log x))) into (* -1 (/ (log x) (- (log -1) (log x)))) 3.896 * [backup-simplify]: Simplify (* -1 (/ (log x) (- (log -1) (log x)))) into (* -1 (/ (log x) (- (log -1) (log x)))) 3.896 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.897 * [backup-simplify]: Simplify (+ 1 0) into 1 3.897 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 3.898 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 3.899 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.899 * [backup-simplify]: Simplify (+ 1 0) into 1 3.900 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 3.900 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 3.901 * [backup-simplify]: Simplify (- (/ 1 (- (log -1) (log x))) (+ (* (* -1 (/ (log x) (- (log -1) (log x)))) (/ -1 (- (log -1) (log x)))))) into (- (/ 1 (- (log -1) (log x))) (/ (log x) (pow (- (log -1) (log x)) 2))) 3.902 * [backup-simplify]: Simplify (- (/ 1 (- (log -1) (log x))) (/ (log x) (pow (- (log -1) (log x)) 2))) into (- (/ 1 (- (log -1) (log x))) (/ (log x) (pow (- (log -1) (log x)) 2))) 3.902 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.902 * [backup-simplify]: Simplify (+ 0 0) into 0 3.904 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 3.904 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 3.905 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.905 * [backup-simplify]: Simplify (+ 0 0) into 0 3.907 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 3.907 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 3.908 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 3.910 * [backup-simplify]: Simplify (- (/ -1/2 (- (log -1) (log x))) (+ (* (* -1 (/ (log x) (- (log -1) (log x)))) (/ -1/2 (- (log -1) (log x)))) (* (- (/ 1 (- (log -1) (log x))) (/ (log x) (pow (- (log -1) (log x)) 2))) (/ -1 (- (log -1) (log x)))))) into (- (/ 1 (pow (- (log -1) (log x)) 2)) (+ (* 1/2 (/ 1 (- (log -1) (log x)))) (+ (/ (log x) (pow (- (log -1) (log x)) 3)) (* 1/2 (/ (log x) (pow (- (log -1) (log x)) 2)))))) 3.911 * [backup-simplify]: Simplify (- (/ 1 (pow (- (log -1) (log x)) 2)) (+ (* 1/2 (/ 1 (- (log -1) (log x)))) (+ (/ (log x) (pow (- (log -1) (log x)) 3)) (* 1/2 (/ (log x) (pow (- (log -1) (log x)) 2)))))) into (- (/ 1 (pow (- (log -1) (log x)) 2)) (+ (* 1/2 (/ 1 (- (log -1) (log x)))) (+ (/ (log x) (pow (- (log -1) (log x)) 3)) (* 1/2 (/ (log x) (pow (- (log -1) (log x)) 2)))))) 3.914 * [backup-simplify]: Simplify (+ (* (- (/ 1 (pow (- (log -1) (log (/ 1 (- x)))) 2)) (+ (* 1/2 (/ 1 (- (log -1) (log (/ 1 (- x)))))) (+ (/ (log (/ 1 (- x))) (pow (- (log -1) (log (/ 1 (- x)))) 3)) (* 1/2 (/ (log (/ 1 (- x))) (pow (- (log -1) (log (/ 1 (- x)))) 2)))))) (pow (/ 1 (- x)) 2)) (+ (* (- (/ 1 (- (log -1) (log (/ 1 (- x))))) (/ (log (/ 1 (- x))) (pow (- (log -1) (log (/ 1 (- x)))) 2))) (/ 1 (- x))) (* -1 (/ (log (/ 1 (- x))) (- (log -1) (log (/ 1 (- x)))))))) into (- (+ (/ (log (/ -1 x)) (* x (pow (- (log -1) (log (/ -1 x))) 2))) (/ 1 (* (pow x 2) (pow (- (log -1) (log (/ -1 x))) 2)))) (+ (/ (log (/ -1 x)) (- (log -1) (log (/ -1 x)))) (+ (/ (log (/ -1 x)) (* (pow x 2) (pow (- (log -1) (log (/ -1 x))) 3))) (+ (/ 1 (* x (- (log -1) (log (/ -1 x))))) (+ (* 1/2 (/ (log (/ -1 x)) (* (pow x 2) (pow (- (log -1) (log (/ -1 x))) 2)))) (* 1/2 (/ 1 (* (pow x 2) (- (log -1) (log (/ -1 x))))))))))) 3.914 * * * [progress]: simplifying candidates 3.914 * * * * [progress]: [ 1 / 197 ] simplifiying candidate # 3.914 * * * * [progress]: [ 2 / 197 ] simplifiying candidate # 3.914 * * * * [progress]: [ 3 / 197 ] simplifiying candidate # 3.914 * * * * [progress]: [ 4 / 197 ] simplifiying candidate # 3.914 * * * * [progress]: [ 5 / 197 ] simplifiying candidate # 3.914 * * * * [progress]: [ 6 / 197 ] simplifiying candidate # 3.914 * * * * [progress]: [ 7 / 197 ] simplifiying candidate # 3.914 * * * * [progress]: [ 8 / 197 ] 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[progress]: [ 158 / 197 ] simplifiying candidate # 3.920 * * * * [progress]: [ 159 / 197 ] simplifiying candidate # 3.921 * * * * [progress]: [ 160 / 197 ] simplifiying candidate # 3.921 * * * * [progress]: [ 161 / 197 ] simplifiying candidate # 3.921 * * * * [progress]: [ 162 / 197 ] simplifiying candidate # 3.921 * * * * [progress]: [ 163 / 197 ] simplifiying candidate # 3.921 * * * * [progress]: [ 164 / 197 ] simplifiying candidate # 3.921 * * * * [progress]: [ 165 / 197 ] simplifiying candidate # 3.921 * * * * [progress]: [ 166 / 197 ] simplifiying candidate # 3.921 * * * * [progress]: [ 167 / 197 ] simplifiying candidate # 3.921 * * * * [progress]: [ 168 / 197 ] simplifiying candidate # 3.921 * * * * [progress]: [ 169 / 197 ] simplifiying candidate # 3.921 * * * * [progress]: [ 170 / 197 ] simplifiying candidate # 3.921 * * * * [progress]: [ 171 / 197 ] simplifiying candidate # 3.921 * * * * [progress]: [ 172 / 197 ] simplifiying candidate # 3.921 * * * * [progress]: [ 173 / 197 ] 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* [progress]: [ 188 / 197 ] simplifiying candidate # 3.922 * * * * [progress]: [ 189 / 197 ] simplifiying candidate # 3.922 * * * * [progress]: [ 190 / 197 ] simplifiying candidate # 3.922 * * * * [progress]: [ 191 / 197 ] simplifiying candidate # 3.922 * * * * [progress]: [ 192 / 197 ] simplifiying candidate # 3.922 * * * * [progress]: [ 193 / 197 ] simplifiying candidate # 3.922 * * * * [progress]: [ 194 / 197 ] simplifiying candidate # 3.922 * * * * [progress]: [ 195 / 197 ] simplifiying candidate # 3.922 * * * * [progress]: [ 196 / 197 ] simplifiying candidate # 3.922 * * * * [progress]: [ 197 / 197 ] simplifiying candidate # 3.924 * [simplify]: Simplifying: (expm1 (cbrt (* (* (/ (log1p (- x)) (log1p x)) (/ (log1p (- x)) (log1p x))) (/ (log1p (- x)) (log1p x))))) (log1p (cbrt (* (* (/ (log1p (- x)) (log1p x)) (/ (log1p (- x)) (log1p x))) (/ (log1p (- x)) (log1p x))))) (log (cbrt (* (* (/ (log1p (- x)) (log1p x)) (/ (log1p (- x)) (log1p x))) (/ (log1p (- x)) (log1p x))))) (exp (cbrt 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#1: cost 391 inf + 3 4.809 * * [simplify]: Extracting #2: cost 483 inf + 191 4.814 * * [simplify]: Extracting #3: cost 583 inf + 9668 4.829 * * [simplify]: Extracting #4: cost 548 inf + 65244 4.860 * * [simplify]: Extracting #5: cost 480 inf + 109139 4.894 * * [simplify]: Extracting #6: cost 415 inf + 143451 4.942 * * [simplify]: Extracting #7: cost 245 inf + 207452 5.000 * * [simplify]: Extracting #8: cost 81 inf + 298406 5.125 * * [simplify]: Extracting #9: cost 19 inf + 358706 5.280 * * [simplify]: Extracting #10: cost 2 inf + 389880 5.402 * * [simplify]: Extracting #11: cost 0 inf + 394603 5.560 * * [simplify]: Extracting #12: cost 0 inf + 394253 5.668 * * [simplify]: Extracting #13: cost 0 inf + 394153 5.819 * [simplify]: Simplified to: (expm1 (cbrt (* (/ (log1p (- x)) (log1p x)) (* (/ (log1p (- x)) (log1p x)) (/ (log1p (- x)) (log1p x)))))) (log1p (cbrt (* (/ (log1p (- x)) (log1p x)) (* (/ (log1p (- x)) (log1p x)) (/ (log1p (- x)) (log1p x)))))) (log (cbrt (* (/ (log1p (- x)) 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(log (/ -1 x)) x) (* (- (log -1) (log (/ -1 x))) (- (log -1) (log (/ -1 x))))) (- (/ (/ 1 (* x x)) (* (- (log -1) (log (/ -1 x))) (- (log -1) (log (/ -1 x))))) (+ (/ (log (/ -1 x)) (- (log -1) (log (/ -1 x)))) (+ (fma 1/2 (+ (/ (/ (log (/ -1 x)) (* x x)) (* (- (log -1) (log (/ -1 x))) (- (log -1) (log (/ -1 x))))) (/ (/ 1 (* x x)) (- (log -1) (log (/ -1 x))))) (/ (/ 1 x) (- (log -1) (log (/ -1 x))))) (/ (log (/ -1 x)) (* (* (* (- (log -1) (log (/ -1 x))) (- (log -1) (log (/ -1 x)))) (- (log -1) (log (/ -1 x)))) (* x x))))))) 5.850 * * * [progress]: adding candidates to table 7.607 * [progress]: [Phase 3 of 3] Extracting. 7.608 * * [regime]: Finding splitpoints for: (# #) 7.608 * * * [regime-changes]: Trying 1 branch expressions: (x) 7.608 * * * * [regimes]: Trying to branch on x from (# #) 7.625 * * * [regime]: Found split indices: #