0.002 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.271 * * * [progress]: [2/2] Setting up program. 0.275 * [progress]: [Phase 2 of 3] Improving. 0.275 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.275 * [simplify]: Simplifying (/ (log (- 1 x)) (log (+ 1 x))) 0.275 * * [simplify]: iteration 1: (7 enodes) 0.277 * * [simplify]: iteration 2: (27 enodes) 0.298 * * [simplify]: iteration 3: (33 enodes) 0.303 * * [simplify]: Extracting #0: cost 1 inf + 0 0.303 * * [simplify]: Extracting #1: cost 4 inf + 0 0.303 * * [simplify]: Extracting #2: cost 10 inf + 0 0.304 * * [simplify]: Extracting #3: cost 11 inf + 133 0.304 * * [simplify]: Extracting #4: cost 7 inf + 397 0.304 * * [simplify]: Extracting #5: cost 0 inf + 1199 0.304 * * [simplify]: Extracting #6: cost 0 inf + 1142 0.304 * [simplify]: Simplified to (/ (log (- 1 x)) (log1p x)) 0.316 * * [progress]: iteration 1 / 4 0.316 * * * [progress]: picking best candidate 0.325 * * * * [pick]: Picked # 0.325 * * * [progress]: localizing error 0.338 * * * [progress]: generating rewritten candidates 0.338 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.343 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.356 * * * [progress]: generating series expansions 0.356 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.356 * [backup-simplify]: Simplify (log (- 1 x)) into (log (- 1 x)) 0.356 * [approximate]: Taking taylor expansion of (log (- 1 x)) in (x) around 0 0.356 * [taylor]: Taking taylor expansion of (log (- 1 x)) in x 0.356 * [taylor]: Taking taylor expansion of (- 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 x in x 0.356 * [backup-simplify]: Simplify 0 into 0 0.356 * [backup-simplify]: Simplify 1 into 1 0.356 * [backup-simplify]: Simplify (- 0) into 0 0.357 * [backup-simplify]: Simplify (+ 1 0) into 1 0.357 * [backup-simplify]: Simplify (log 1) into 0 0.357 * [taylor]: Taking taylor expansion of (log (- 1 x)) in x 0.357 * [taylor]: Taking taylor expansion of (- 1 x) in x 0.357 * [taylor]: Taking taylor expansion of 1 in x 0.357 * [backup-simplify]: Simplify 1 into 1 0.357 * [taylor]: Taking taylor expansion of x in x 0.357 * [backup-simplify]: Simplify 0 into 0 0.357 * [backup-simplify]: Simplify 1 into 1 0.357 * [backup-simplify]: Simplify (- 0) into 0 0.358 * [backup-simplify]: Simplify (+ 1 0) into 1 0.358 * [backup-simplify]: Simplify (log 1) into 0 0.358 * [backup-simplify]: Simplify 0 into 0 0.358 * [backup-simplify]: Simplify (- 1) into -1 0.359 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.359 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 0.359 * [backup-simplify]: Simplify -1 into -1 0.360 * [backup-simplify]: Simplify (- 0) into 0 0.360 * [backup-simplify]: Simplify (+ 0 0) into 0 0.361 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.362 * [backup-simplify]: Simplify -1/2 into -1/2 0.362 * [backup-simplify]: Simplify (- 0) into 0 0.362 * [backup-simplify]: Simplify (+ 0 0) into 0 0.367 * [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 0.367 * [backup-simplify]: Simplify -1/3 into -1/3 0.368 * [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))))) 0.368 * [backup-simplify]: Simplify (log (- 1 (/ 1 x))) into (log (- 1 (/ 1 x))) 0.368 * [approximate]: Taking taylor expansion of (log (- 1 (/ 1 x))) in (x) around 0 0.368 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 x))) in x 0.368 * [taylor]: Taking taylor expansion of (- 1 (/ 1 x)) in x 0.368 * [taylor]: Taking taylor expansion of 1 in x 0.368 * [backup-simplify]: Simplify 1 into 1 0.368 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.368 * [taylor]: Taking taylor expansion of x in x 0.368 * [backup-simplify]: Simplify 0 into 0 0.368 * [backup-simplify]: Simplify 1 into 1 0.368 * [backup-simplify]: Simplify (/ 1 1) into 1 0.369 * [backup-simplify]: Simplify (- 1) into -1 0.369 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.370 * [backup-simplify]: Simplify (log -1) into (log -1) 0.370 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 x))) in x 0.370 * [taylor]: Taking taylor expansion of (- 1 (/ 1 x)) in x 0.370 * [taylor]: Taking taylor expansion of 1 in x 0.370 * [backup-simplify]: Simplify 1 into 1 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 0.371 * [backup-simplify]: Simplify (- 1) into -1 0.371 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.371 * [backup-simplify]: Simplify (log -1) into (log -1) 0.372 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 0.372 * [backup-simplify]: Simplify (- (log -1) (log x)) into (- (log -1) (log x)) 0.373 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.373 * [backup-simplify]: Simplify (- 0) into 0 0.373 * [backup-simplify]: Simplify (+ 1 0) into 1 0.374 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 0.374 * [backup-simplify]: Simplify -1 into -1 0.374 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.375 * [backup-simplify]: Simplify (- 0) into 0 0.375 * [backup-simplify]: Simplify (+ 0 0) into 0 0.376 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 0.376 * [backup-simplify]: Simplify -1/2 into -1/2 0.377 * [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)))) 0.377 * [backup-simplify]: Simplify (log (- 1 (/ 1 (- x)))) into (log (+ (/ 1 x) 1)) 0.377 * [approximate]: Taking taylor expansion of (log (+ (/ 1 x) 1)) in (x) around 0 0.377 * [taylor]: Taking taylor expansion of (log (+ (/ 1 x) 1)) in x 0.377 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 0.377 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.377 * [taylor]: Taking taylor expansion of x in x 0.377 * [backup-simplify]: Simplify 0 into 0 0.377 * [backup-simplify]: Simplify 1 into 1 0.377 * [backup-simplify]: Simplify (/ 1 1) into 1 0.377 * [taylor]: Taking taylor expansion of 1 in x 0.377 * [backup-simplify]: Simplify 1 into 1 0.378 * [backup-simplify]: Simplify (+ 1 0) into 1 0.378 * [backup-simplify]: Simplify (log 1) into 0 0.378 * [taylor]: Taking taylor expansion of (log (+ (/ 1 x) 1)) in x 0.378 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 0.378 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.378 * [taylor]: Taking taylor expansion of x in x 0.378 * [backup-simplify]: Simplify 0 into 0 0.378 * [backup-simplify]: Simplify 1 into 1 0.378 * [backup-simplify]: Simplify (/ 1 1) into 1 0.378 * [taylor]: Taking taylor expansion of 1 in x 0.378 * [backup-simplify]: Simplify 1 into 1 0.379 * [backup-simplify]: Simplify (+ 1 0) into 1 0.379 * [backup-simplify]: Simplify (log 1) into 0 0.379 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 0.379 * [backup-simplify]: Simplify (- (log x)) into (- (log x)) 0.380 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.380 * [backup-simplify]: Simplify (+ 0 1) into 1 0.381 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.381 * [backup-simplify]: Simplify 1 into 1 0.381 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.382 * [backup-simplify]: Simplify (+ 0 0) into 0 0.383 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.383 * [backup-simplify]: Simplify -1/2 into -1/2 0.383 * [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)))) 0.384 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.384 * [backup-simplify]: Simplify (/ (log (- 1 x)) (log1p x)) into (/ (log (- 1 x)) (log1p x)) 0.384 * [approximate]: Taking taylor expansion of (/ (log (- 1 x)) (log1p x)) in (x) around 0 0.384 * [taylor]: Taking taylor expansion of (/ (log (- 1 x)) (log1p x)) in x 0.384 * [taylor]: Taking taylor expansion of (log (- 1 x)) in x 0.384 * [taylor]: Taking taylor expansion of (- 1 x) in x 0.384 * [taylor]: Taking taylor expansion of 1 in x 0.384 * [backup-simplify]: Simplify 1 into 1 0.384 * [taylor]: Taking taylor expansion of x in x 0.384 * [backup-simplify]: Simplify 0 into 0 0.384 * [backup-simplify]: Simplify 1 into 1 0.384 * [backup-simplify]: Simplify (- 0) into 0 0.384 * [backup-simplify]: Simplify (+ 1 0) into 1 0.385 * [backup-simplify]: Simplify (log 1) into 0 0.385 * [taylor]: Taking taylor expansion of (log1p x) in x 0.385 * [taylor]: Rewrote expression to (log (+ 1 x)) 0.385 * [taylor]: Taking taylor expansion of (+ 1 x) in x 0.385 * [taylor]: Taking taylor expansion of 1 in x 0.385 * [backup-simplify]: Simplify 1 into 1 0.385 * [taylor]: Taking taylor expansion of x in x 0.385 * [backup-simplify]: Simplify 0 into 0 0.385 * [backup-simplify]: Simplify 1 into 1 0.385 * [backup-simplify]: Simplify (+ 1 0) into 1 0.385 * [backup-simplify]: Simplify (log 1) into 0 0.385 * [backup-simplify]: Simplify (- 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 0.387 * [backup-simplify]: Simplify (+ 0 1) into 1 0.391 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.392 * [backup-simplify]: Simplify (/ -1 1) into -1 0.392 * [taylor]: Taking taylor expansion of (/ (log (- 1 x)) (log1p x)) in x 0.392 * [taylor]: Taking taylor expansion of (log (- 1 x)) in x 0.392 * [taylor]: Taking taylor expansion of (- 1 x) in x 0.392 * [taylor]: Taking taylor expansion of 1 in x 0.392 * [backup-simplify]: Simplify 1 into 1 0.392 * [taylor]: Taking taylor expansion of x in x 0.392 * [backup-simplify]: Simplify 0 into 0 0.392 * [backup-simplify]: Simplify 1 into 1 0.392 * [backup-simplify]: Simplify (- 0) into 0 0.393 * [backup-simplify]: Simplify (+ 1 0) into 1 0.393 * [backup-simplify]: Simplify (log 1) into 0 0.393 * [taylor]: Taking taylor expansion of (log1p x) in x 0.393 * [taylor]: Rewrote expression to (log (+ 1 x)) 0.393 * [taylor]: Taking taylor expansion of (+ 1 x) in x 0.393 * [taylor]: Taking taylor expansion of 1 in x 0.393 * [backup-simplify]: Simplify 1 into 1 0.393 * [taylor]: Taking taylor expansion of x in x 0.393 * [backup-simplify]: Simplify 0 into 0 0.393 * [backup-simplify]: Simplify 1 into 1 0.393 * [backup-simplify]: Simplify (+ 1 0) into 1 0.394 * [backup-simplify]: Simplify (log 1) into 0 0.394 * [backup-simplify]: Simplify (- 1) into -1 0.394 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.395 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 0.395 * [backup-simplify]: Simplify (+ 0 1) into 1 0.396 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.396 * [backup-simplify]: Simplify (/ -1 1) into -1 0.396 * [backup-simplify]: Simplify -1 into -1 0.397 * [backup-simplify]: Simplify (- 0) into 0 0.397 * [backup-simplify]: Simplify (+ 0 0) into 0 0.399 * [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 0.404 * [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 0.409 * [backup-simplify]: Simplify (+ 0 0) into 0 0.414 * [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 0.416 * [backup-simplify]: Simplify (- (/ -1/3 1) (+ (* -1 (/ 1/3 1)) (* -1 (/ -1/2 1)))) into -1/2 0.416 * [backup-simplify]: Simplify -1/2 into -1/2 0.416 * [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 0.417 * [taylor]: Taking taylor expansion of x in x 0.417 * [backup-simplify]: Simplify 0 into 0 0.417 * [backup-simplify]: Simplify 1 into 1 0.417 * [backup-simplify]: Simplify (/ 1 1) into 1 0.418 * [backup-simplify]: Simplify (- 1) into -1 0.418 * [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 0.419 * [backup-simplify]: Simplify 1 into 1 0.419 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.419 * [taylor]: Taking taylor expansion of x in x 0.419 * [backup-simplify]: Simplify 0 into 0 0.419 * [backup-simplify]: Simplify 1 into 1 0.419 * [backup-simplify]: Simplify (/ 1 1) into 1 0.420 * [backup-simplify]: Simplify (+ 0 1) into 1 0.420 * [backup-simplify]: Simplify (log 1) into 0 0.421 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 0.421 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 0.422 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 0.423 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 0.423 * [backup-simplify]: Simplify (/ (- (log -1) (log x)) (- (log x))) into (* -1 (/ (- (log -1) (log x)) (log x))) 0.423 * [taylor]: Taking taylor expansion of (/ (log (- 1 (/ 1 x))) (log1p (/ 1 x))) in x 0.423 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 x))) in x 0.423 * [taylor]: Taking taylor expansion of (- 1 (/ 1 x)) in x 0.423 * [taylor]: Taking taylor expansion of 1 in x 0.423 * [backup-simplify]: Simplify 1 into 1 0.423 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.423 * [taylor]: Taking taylor expansion of x in x 0.423 * [backup-simplify]: Simplify 0 into 0 0.423 * [backup-simplify]: Simplify 1 into 1 0.424 * [backup-simplify]: Simplify (/ 1 1) into 1 0.424 * [backup-simplify]: Simplify (- 1) into -1 0.424 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.425 * [backup-simplify]: Simplify (log -1) into (log -1) 0.425 * [taylor]: Taking taylor expansion of (log1p (/ 1 x)) in x 0.425 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 x))) 0.425 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 x)) in x 0.425 * [taylor]: Taking taylor expansion of 1 in x 0.425 * [backup-simplify]: Simplify 1 into 1 0.425 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.425 * [taylor]: Taking taylor expansion of x in x 0.425 * [backup-simplify]: Simplify 0 into 0 0.425 * [backup-simplify]: Simplify 1 into 1 0.425 * [backup-simplify]: Simplify (/ 1 1) into 1 0.426 * [backup-simplify]: Simplify (+ 0 1) into 1 0.426 * [backup-simplify]: Simplify (log 1) into 0 0.427 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 0.428 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 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 (/ (- (log -1) (log x)) (- (log x))) into (* -1 (/ (- (log -1) (log x)) (log x))) 0.430 * [backup-simplify]: Simplify (* -1 (/ (- (log -1) (log x)) (log x))) into (* -1 (/ (- (log -1) (log x)) (log x))) 0.431 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.431 * [backup-simplify]: Simplify (- 0) into 0 0.432 * [backup-simplify]: Simplify (+ 1 0) into 1 0.433 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 0.434 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 0.434 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.435 * [backup-simplify]: Simplify (+ 1 0) into 1 0.436 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.437 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 0.437 * [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))) 0.438 * [backup-simplify]: Simplify (- (* 2 (/ 1 (log x))) (/ (log -1) (pow (log x) 2))) into (- (* 2 (/ 1 (log x))) (/ (log -1) (pow (log x) 2))) 0.439 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.439 * [backup-simplify]: Simplify (- 0) into 0 0.440 * [backup-simplify]: Simplify (+ 0 0) into 0 0.442 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 0.443 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 0.444 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.444 * [backup-simplify]: Simplify (+ 0 0) into 0 0.447 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.448 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 0.449 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 0.450 * [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))) 0.452 * [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 0.458 * [backup-simplify]: Simplify (log 1) into 0 0.458 * [taylor]: Taking taylor expansion of (log1p (/ -1 x)) in x 0.458 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 x))) 0.458 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 x)) in x 0.458 * [taylor]: Taking taylor expansion of 1 in x 0.458 * [backup-simplify]: Simplify 1 into 1 0.458 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.458 * [taylor]: Taking taylor expansion of -1 in x 0.458 * [backup-simplify]: Simplify -1 into -1 0.458 * [taylor]: Taking taylor expansion of x in x 0.458 * [backup-simplify]: Simplify 0 into 0 0.458 * [backup-simplify]: Simplify 1 into 1 0.458 * [backup-simplify]: Simplify (/ -1 1) into -1 0.459 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.459 * [backup-simplify]: Simplify (log -1) into (log -1) 0.460 * [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)) 0.461 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 0.462 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 0.462 * [backup-simplify]: Simplify (/ (- (log x)) (- (log -1) (log x))) into (* -1 (/ (log x) (- (log -1) (log x)))) 0.462 * [taylor]: Taking taylor expansion of (/ (log (+ (/ 1 x) 1)) (log1p (/ -1 x))) in x 0.462 * [taylor]: Taking taylor expansion of (log (+ (/ 1 x) 1)) in x 0.462 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 0.462 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.462 * [taylor]: Taking taylor expansion of x in x 0.462 * [backup-simplify]: Simplify 0 into 0 0.462 * [backup-simplify]: Simplify 1 into 1 0.463 * [backup-simplify]: Simplify (/ 1 1) into 1 0.463 * [taylor]: Taking taylor expansion of 1 in x 0.463 * [backup-simplify]: Simplify 1 into 1 0.463 * [backup-simplify]: Simplify (+ 1 0) into 1 0.464 * [backup-simplify]: Simplify (log 1) into 0 0.464 * [taylor]: Taking taylor expansion of (log1p (/ -1 x)) in x 0.464 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 x))) 0.464 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 x)) in x 0.464 * [taylor]: Taking taylor expansion of 1 in x 0.464 * [backup-simplify]: Simplify 1 into 1 0.464 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.464 * [taylor]: Taking taylor expansion of -1 in x 0.464 * [backup-simplify]: Simplify -1 into -1 0.464 * [taylor]: Taking taylor expansion of x in x 0.464 * [backup-simplify]: Simplify 0 into 0 0.464 * [backup-simplify]: Simplify 1 into 1 0.464 * [backup-simplify]: Simplify (/ -1 1) into -1 0.465 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.465 * [backup-simplify]: Simplify (log -1) into (log -1) 0.466 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 0.466 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 0.467 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 0.468 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 0.468 * [backup-simplify]: Simplify (/ (- (log x)) (- (log -1) (log x))) into (* -1 (/ (log x) (- (log -1) (log x)))) 0.469 * [backup-simplify]: Simplify (* -1 (/ (log x) (- (log -1) (log x)))) into (* -1 (/ (log x) (- (log -1) (log x)))) 0.470 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.470 * [backup-simplify]: Simplify (+ 0 1) into 1 0.472 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 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)))) into 0 0.474 * [backup-simplify]: Simplify (+ 1 0) into 1 0.476 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 0.477 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 0.478 * [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))) 0.480 * [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))) 0.481 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.481 * [backup-simplify]: Simplify (+ 0 0) into 0 0.483 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.484 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 0.485 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.485 * [backup-simplify]: Simplify (+ 0 0) into 0 0.487 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 0.487 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 0.488 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 0.490 * [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)))))) 0.491 * [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)))))) 0.494 * [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))))))))))) 0.494 * * * [progress]: simplifying candidates 0.494 * * * * [progress]: [ 1 / 64 ] simplifiying candidate # 0.494 * * * * [progress]: [ 2 / 64 ] simplifiying candidate # 0.494 * * * * [progress]: [ 3 / 64 ] simplifiying candidate # 0.494 * * * * [progress]: [ 4 / 64 ] simplifiying candidate # 0.494 * * * * [progress]: [ 5 / 64 ] simplifiying candidate # 0.495 * * * * [progress]: [ 6 / 64 ] simplifiying candidate # 0.495 * * * * [progress]: [ 7 / 64 ] simplifiying candidate # 0.495 * * * * [progress]: [ 8 / 64 ] simplifiying candidate # 0.495 * * * * [progress]: [ 9 / 64 ] simplifiying candidate # 0.495 * * * * [progress]: [ 10 / 64 ] simplifiying candidate # 0.495 * * * * [progress]: [ 11 / 64 ] simplifiying candidate # 0.495 * * * * [progress]: [ 12 / 64 ] simplifiying candidate # 0.495 * * * * [progress]: [ 13 / 64 ] simplifiying candidate # 0.495 * * * * [progress]: [ 14 / 64 ] simplifiying candidate # 0.495 * * * * [progress]: [ 15 / 64 ] simplifiying candidate # 0.495 * * * * [progress]: [ 16 / 64 ] simplifiying candidate # 0.495 * * * * [progress]: [ 17 / 64 ] simplifiying candidate # 0.495 * * * * [progress]: [ 18 / 64 ] simplifiying candidate # 0.495 * * * * [progress]: [ 19 / 64 ] simplifiying candidate # 0.495 * * * * [progress]: [ 20 / 64 ] simplifiying candidate # 0.495 * * * * [progress]: [ 21 / 64 ] simplifiying candidate # 0.495 * * * * [progress]: [ 22 / 64 ] simplifiying candidate #real (real->posit16 (log (- 1 x)))) (log1p x)))> 0.495 * * * * [progress]: [ 23 / 64 ] simplifiying candidate # 0.495 * * * * [progress]: [ 24 / 64 ] simplifiying candidate # 0.495 * * * * [progress]: [ 25 / 64 ] simplifiying candidate # 0.495 * * * * [progress]: [ 26 / 64 ] simplifiying candidate # 0.495 * * * * [progress]: [ 27 / 64 ] simplifiying candidate # 0.495 * * * * [progress]: [ 28 / 64 ] simplifiying candidate # 0.495 * * * * [progress]: [ 29 / 64 ] simplifiying candidate # 0.495 * * * * [progress]: [ 30 / 64 ] simplifiying candidate # 0.495 * * * * [progress]: [ 31 / 64 ] simplifiying candidate # 0.495 * * * * [progress]: [ 32 / 64 ] simplifiying candidate # 0.495 * * * * [progress]: [ 33 / 64 ] simplifiying candidate # 0.495 * * * * [progress]: [ 34 / 64 ] simplifiying candidate # 0.496 * * * * [progress]: [ 35 / 64 ] simplifiying candidate # 0.496 * * * * [progress]: [ 36 / 64 ] simplifiying candidate # 0.496 * * * * [progress]: [ 37 / 64 ] simplifiying candidate # 0.496 * * * * [progress]: [ 38 / 64 ] simplifiying candidate # 0.496 * * * * [progress]: [ 39 / 64 ] simplifiying candidate # 0.496 * * * * [progress]: [ 40 / 64 ] simplifiying candidate # 0.496 * * * * [progress]: [ 41 / 64 ] simplifiying candidate # 0.496 * * * * [progress]: [ 42 / 64 ] simplifiying candidate # 0.496 * * * * [progress]: [ 43 / 64 ] simplifiying candidate # 0.496 * * * * [progress]: [ 44 / 64 ] simplifiying candidate # 0.496 * * * * [progress]: [ 45 / 64 ] simplifiying candidate # 0.496 * * * * [progress]: [ 46 / 64 ] simplifiying candidate # 0.496 * * * * [progress]: [ 47 / 64 ] simplifiying candidate # 0.496 * * * * [progress]: [ 48 / 64 ] simplifiying candidate # 0.496 * * * * [progress]: [ 49 / 64 ] simplifiying candidate # 0.496 * * * * [progress]: [ 50 / 64 ] simplifiying candidate # 0.496 * * * * [progress]: [ 51 / 64 ] simplifiying candidate # 0.496 * * * * [progress]: [ 52 / 64 ] simplifiying candidate # 0.496 * * * * [progress]: [ 53 / 64 ] simplifiying candidate # 0.496 * * * * [progress]: [ 54 / 64 ] simplifiying candidate # 0.496 * * * * [progress]: [ 55 / 64 ] simplifiying candidate # 0.496 * * * * [progress]: [ 56 / 64 ] simplifiying candidate # 0.496 * * * * [progress]: [ 57 / 64 ] simplifiying candidate # 0.496 * * * * [progress]: [ 58 / 64 ] simplifiying candidate #real (real->posit16 (/ (log (- 1 x)) (log1p x)))))> 0.496 * * * * [progress]: [ 59 / 64 ] simplifiying candidate # 0.496 * * * * [progress]: [ 60 / 64 ] simplifiying candidate # 0.496 * * * * [progress]: [ 61 / 64 ] simplifiying candidate # 0.496 * * * * [progress]: [ 62 / 64 ] simplifiying candidate # 0.496 * * * * [progress]: [ 63 / 64 ] simplifiying candidate # 0.497 * * * * [progress]: [ 64 / 64 ] simplifiying candidate # 0.497 * [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))))))))))) 0.498 * * [simplify]: iteration 1: (163 enodes) 0.565 * * [simplify]: iteration 2: (670 enodes) 0.727 * * [simplify]: iteration 3: (1467 enodes) 1.287 * * [simplify]: Extracting #0: cost 61 inf + 0 1.288 * * [simplify]: Extracting #1: cost 354 inf + 2 1.291 * * [simplify]: Extracting #2: cost 884 inf + 2236 1.297 * * [simplify]: Extracting #3: cost 1005 inf + 23241 1.328 * * [simplify]: Extracting #4: cost 580 inf + 151749 1.424 * * [simplify]: Extracting #5: cost 146 inf + 353266 1.527 * * [simplify]: Extracting #6: cost 21 inf + 434822 1.662 * * [simplify]: Extracting #7: cost 0 inf + 432251 1.798 * * [simplify]: Extracting #8: cost 0 inf + 429671 1.907 * * [simplify]: Extracting #9: cost 0 inf + 429591 2.059 * [simplify]: Simplified to (- x), (log1p (log (- 1 x))), (+ (log (cbrt (- 1 x))) (log (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)), 1, (/ (/ 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))), (- (fma 1/2 (* x x) (fma (* 1/3 (* x x)) x x))), (+ (log -1) (- (log x) (fma 1/2 (/ (/ 1 x) x) (/ 1 x)))), (+ (- (/ -1 x) (/ 1/2 (* x x))) (- (log (/ -1 x)))), (+ (- (fma x (* x 1/2) x)) -1), (+ (/ 2 (* (* (log x) x) (* (log x) x))) (fma (/ 2 x) (/ 1 (- (log x))) (- (fma 1/2 (/ (log -1) (* (* (log x) x) (* (log x) x))) 1) (+ (+ (/ (log -1) (- (log x))) (/ (log -1) (* x (* (log x) (log x))))) (/ (/ (log -1) (- (log x))) (* (* (log x) x) (* (log x) x))))))), (- (- (- (/ 1 (* (* (+ 0 (log x)) x) (* (+ 0 (log x)) x))) (/ (/ (log (/ -1 x)) (* (* (+ 0 (log x)) x) (* (+ 0 (log x)) x))) (+ 0 (log x)))) (fma (+ (/ (log (/ -1 x)) (* (* (+ 0 (log x)) x) (* (+ 0 (log x)) x))) (/ (/ (/ 1 x) x) (+ 0 (log x)))) 1/2 (/ (/ 1 x) (+ 0 (log x))))) (- (/ (log (/ -1 x)) (+ 0 (log x))) (/ (/ (log (/ -1 x)) (+ 0 (log x))) (* (+ 0 (log x)) x)))) 2.065 * * * [progress]: adding candidates to table 2.366 * * [progress]: iteration 2 / 4 2.366 * * * [progress]: picking best candidate 2.371 * * * * [pick]: Picked # 2.371 * * * [progress]: localizing error 2.382 * * * [progress]: generating rewritten candidates 2.382 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 2.386 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 2.388 * * * [progress]: generating series expansions 2.388 * * * * [progress]: [ 1 / 2 ] generating series at (2) 2.388 * [backup-simplify]: Simplify (/ (log1p (- x)) (log1p x)) into (/ (log1p (- x)) (log1p x)) 2.388 * [approximate]: Taking taylor expansion of (/ (log1p (- x)) (log1p x)) in (x) around 0 2.388 * [taylor]: Taking taylor expansion of (/ (log1p (- x)) (log1p x)) in x 2.388 * [taylor]: Taking taylor expansion of (log1p (- x)) in x 2.388 * [taylor]: Rewrote expression to (log (+ 1 (- x))) 2.388 * [taylor]: Taking taylor expansion of (+ 1 (- x)) in x 2.388 * [taylor]: Taking taylor expansion of 1 in x 2.388 * [backup-simplify]: Simplify 1 into 1 2.388 * [taylor]: Taking taylor expansion of (- x) in x 2.388 * [taylor]: Taking taylor expansion of x in x 2.388 * [backup-simplify]: Simplify 0 into 0 2.388 * [backup-simplify]: Simplify 1 into 1 2.389 * [backup-simplify]: Simplify (- 0) into 0 2.389 * [backup-simplify]: Simplify (+ 1 0) into 1 2.390 * [backup-simplify]: Simplify (log 1) into 0 2.390 * [taylor]: Taking taylor expansion of (log1p x) in x 2.390 * [taylor]: Rewrote expression to (log (+ 1 x)) 2.390 * [taylor]: Taking taylor expansion of (+ 1 x) in x 2.390 * [taylor]: Taking taylor expansion of 1 in x 2.390 * [backup-simplify]: Simplify 1 into 1 2.390 * [taylor]: Taking taylor expansion of x in x 2.390 * [backup-simplify]: Simplify 0 into 0 2.390 * [backup-simplify]: Simplify 1 into 1 2.390 * [backup-simplify]: Simplify (+ 1 0) into 1 2.391 * [backup-simplify]: Simplify (log 1) into 0 2.391 * [backup-simplify]: Simplify (- 1) into -1 2.392 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.393 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 2.394 * [backup-simplify]: Simplify (+ 0 1) into 1 2.395 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 2.395 * [backup-simplify]: Simplify (/ -1 1) into -1 2.396 * [taylor]: Taking taylor expansion of (/ (log1p (- x)) (log1p x)) in x 2.396 * [taylor]: Taking taylor expansion of (log1p (- x)) in x 2.396 * [taylor]: Rewrote expression to (log (+ 1 (- x))) 2.396 * [taylor]: Taking taylor expansion of (+ 1 (- x)) in x 2.396 * [taylor]: Taking taylor expansion of 1 in x 2.396 * [backup-simplify]: Simplify 1 into 1 2.396 * [taylor]: Taking taylor expansion of (- x) in x 2.396 * [taylor]: Taking taylor expansion of x in x 2.396 * [backup-simplify]: Simplify 0 into 0 2.396 * [backup-simplify]: Simplify 1 into 1 2.396 * [backup-simplify]: Simplify (- 0) into 0 2.397 * [backup-simplify]: Simplify (+ 1 0) into 1 2.397 * [backup-simplify]: Simplify (log 1) into 0 2.397 * [taylor]: Taking taylor expansion of (log1p x) in x 2.397 * [taylor]: Rewrote expression to (log (+ 1 x)) 2.397 * [taylor]: Taking taylor expansion of (+ 1 x) in x 2.397 * [taylor]: Taking taylor expansion of 1 in x 2.397 * [backup-simplify]: Simplify 1 into 1 2.397 * [taylor]: Taking taylor expansion of x in x 2.397 * [backup-simplify]: Simplify 0 into 0 2.397 * [backup-simplify]: Simplify 1 into 1 2.398 * [backup-simplify]: Simplify (+ 1 0) into 1 2.398 * [backup-simplify]: Simplify (log 1) into 0 2.399 * [backup-simplify]: Simplify (- 1) into -1 2.399 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.400 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 2.401 * [backup-simplify]: Simplify (+ 0 1) into 1 2.402 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 2.403 * [backup-simplify]: Simplify (/ -1 1) into -1 2.403 * [backup-simplify]: Simplify -1 into -1 2.403 * [backup-simplify]: Simplify (- 0) into 0 2.403 * [backup-simplify]: Simplify (+ 0 0) into 0 2.405 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 2.405 * [backup-simplify]: Simplify (+ 0 0) into 0 2.407 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 2.407 * [backup-simplify]: Simplify (- (/ -1/2 1) (+ (* -1 (/ -1/2 1)))) into -1 2.407 * [backup-simplify]: Simplify -1 into -1 2.407 * [backup-simplify]: Simplify (- 0) into 0 2.408 * [backup-simplify]: Simplify (+ 0 0) into 0 2.411 * [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 2.411 * [backup-simplify]: Simplify (+ 0 0) into 0 2.414 * [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 2.415 * [backup-simplify]: Simplify (- (/ -1/3 1) (+ (* -1 (/ 1/3 1)) (* -1 (/ -1/2 1)))) into -1/2 2.415 * [backup-simplify]: Simplify -1/2 into -1/2 2.415 * [backup-simplify]: Simplify (+ (* -1/2 (pow x 2)) (+ (* -1 x) -1)) into (- (+ x (+ (* 1/2 (pow x 2)) 1))) 2.415 * [backup-simplify]: Simplify (/ (log1p (- (/ 1 x))) (log1p (/ 1 x))) into (/ (log1p (- (/ 1 x))) (log1p (/ 1 x))) 2.415 * [approximate]: Taking taylor expansion of (/ (log1p (- (/ 1 x))) (log1p (/ 1 x))) in (x) around 0 2.415 * [taylor]: Taking taylor expansion of (/ (log1p (- (/ 1 x))) (log1p (/ 1 x))) in x 2.415 * [taylor]: Taking taylor expansion of (log1p (- (/ 1 x))) in x 2.415 * [taylor]: Rewrote expression to (log (+ 1 (- (/ 1 x)))) 2.415 * [taylor]: Taking taylor expansion of (+ 1 (- (/ 1 x))) in x 2.415 * [taylor]: Taking taylor expansion of 1 in x 2.415 * [backup-simplify]: Simplify 1 into 1 2.415 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 2.415 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.415 * [taylor]: Taking taylor expansion of x in x 2.415 * [backup-simplify]: Simplify 0 into 0 2.415 * [backup-simplify]: Simplify 1 into 1 2.416 * [backup-simplify]: Simplify (/ 1 1) into 1 2.416 * [backup-simplify]: Simplify (- 1) into -1 2.416 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.416 * [backup-simplify]: Simplify (log -1) into (log -1) 2.416 * [taylor]: Taking taylor expansion of (log1p (/ 1 x)) in x 2.416 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 x))) 2.416 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 x)) in x 2.416 * [taylor]: Taking taylor expansion of 1 in x 2.416 * [backup-simplify]: Simplify 1 into 1 2.416 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.416 * [taylor]: Taking taylor expansion of x in x 2.417 * [backup-simplify]: Simplify 0 into 0 2.417 * [backup-simplify]: Simplify 1 into 1 2.417 * [backup-simplify]: Simplify (/ 1 1) into 1 2.417 * [backup-simplify]: Simplify (+ 0 1) into 1 2.417 * [backup-simplify]: Simplify (log 1) into 0 2.418 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 2.418 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 2.419 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 2.419 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 2.419 * [backup-simplify]: Simplify (/ (- (log -1) (log x)) (- (log x))) into (* -1 (/ (- (log -1) (log x)) (log x))) 2.419 * [taylor]: Taking taylor expansion of (/ (log1p (- (/ 1 x))) (log1p (/ 1 x))) in x 2.419 * [taylor]: Taking taylor expansion of (log1p (- (/ 1 x))) in x 2.419 * [taylor]: Rewrote expression to (log (+ 1 (- (/ 1 x)))) 2.419 * [taylor]: Taking taylor expansion of (+ 1 (- (/ 1 x))) in x 2.419 * [taylor]: Taking taylor expansion of 1 in x 2.419 * [backup-simplify]: Simplify 1 into 1 2.419 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 2.419 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.419 * [taylor]: Taking taylor expansion of x in x 2.419 * [backup-simplify]: Simplify 0 into 0 2.419 * [backup-simplify]: Simplify 1 into 1 2.420 * [backup-simplify]: Simplify (/ 1 1) into 1 2.420 * [backup-simplify]: Simplify (- 1) into -1 2.421 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.421 * [backup-simplify]: Simplify (log -1) into (log -1) 2.421 * [taylor]: Taking taylor expansion of (log1p (/ 1 x)) in x 2.421 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 x))) 2.421 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 x)) in x 2.421 * [taylor]: Taking taylor expansion of 1 in x 2.421 * [backup-simplify]: Simplify 1 into 1 2.421 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.421 * [taylor]: Taking taylor expansion of x in x 2.421 * [backup-simplify]: Simplify 0 into 0 2.421 * [backup-simplify]: Simplify 1 into 1 2.421 * [backup-simplify]: Simplify (/ 1 1) into 1 2.422 * [backup-simplify]: Simplify (+ 0 1) into 1 2.422 * [backup-simplify]: Simplify (log 1) into 0 2.422 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 2.423 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 2.423 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 2.424 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 2.424 * [backup-simplify]: Simplify (/ (- (log -1) (log x)) (- (log x))) into (* -1 (/ (- (log -1) (log x)) (log x))) 2.424 * [backup-simplify]: Simplify (* -1 (/ (- (log -1) (log x)) (log x))) into (* -1 (/ (- (log -1) (log x)) (log x))) 2.425 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.425 * [backup-simplify]: Simplify (- 0) into 0 2.425 * [backup-simplify]: Simplify (+ 1 0) into 1 2.426 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 2.426 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 2.427 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.427 * [backup-simplify]: Simplify (+ 1 0) into 1 2.428 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 2.429 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 2.430 * [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))) 2.430 * [backup-simplify]: Simplify (- (* 2 (/ 1 (log x))) (/ (log -1) (pow (log x) 2))) into (- (* 2 (/ 1 (log x))) (/ (log -1) (pow (log x) 2))) 2.431 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.432 * [backup-simplify]: Simplify (- 0) into 0 2.432 * [backup-simplify]: Simplify (+ 0 0) into 0 2.435 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 2.436 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 2.437 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.437 * [backup-simplify]: Simplify (+ 0 0) into 0 2.440 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 2.441 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 2.441 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 2.443 * [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))) 2.444 * [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))) 2.447 * [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))))) 2.447 * [backup-simplify]: Simplify (/ (log1p (- (/ 1 (- x)))) (log1p (/ 1 (- x)))) into (/ (log1p (/ 1 x)) (log1p (/ -1 x))) 2.447 * [approximate]: Taking taylor expansion of (/ (log1p (/ 1 x)) (log1p (/ -1 x))) in (x) around 0 2.447 * [taylor]: Taking taylor expansion of (/ (log1p (/ 1 x)) (log1p (/ -1 x))) in x 2.447 * [taylor]: Taking taylor expansion of (log1p (/ 1 x)) in x 2.448 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 x))) 2.448 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 x)) in x 2.448 * [taylor]: Taking taylor expansion of 1 in x 2.448 * [backup-simplify]: Simplify 1 into 1 2.448 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.448 * [taylor]: Taking taylor expansion of x in x 2.448 * [backup-simplify]: Simplify 0 into 0 2.448 * [backup-simplify]: Simplify 1 into 1 2.448 * [backup-simplify]: Simplify (/ 1 1) into 1 2.449 * [backup-simplify]: Simplify (+ 0 1) into 1 2.449 * [backup-simplify]: Simplify (log 1) into 0 2.449 * [taylor]: Taking taylor expansion of (log1p (/ -1 x)) in x 2.449 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 x))) 2.449 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 x)) in x 2.449 * [taylor]: Taking taylor expansion of 1 in x 2.449 * [backup-simplify]: Simplify 1 into 1 2.449 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.449 * [taylor]: Taking taylor expansion of -1 in x 2.449 * [backup-simplify]: Simplify -1 into -1 2.449 * [taylor]: Taking taylor expansion of x in x 2.449 * [backup-simplify]: Simplify 0 into 0 2.449 * [backup-simplify]: Simplify 1 into 1 2.450 * [backup-simplify]: Simplify (/ -1 1) into -1 2.450 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.451 * [backup-simplify]: Simplify (log -1) into (log -1) 2.451 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 2.452 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 2.452 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 2.453 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 2.454 * [backup-simplify]: Simplify (/ (- (log x)) (- (log -1) (log x))) into (* -1 (/ (log x) (- (log -1) (log x)))) 2.454 * [taylor]: Taking taylor expansion of (/ (log1p (/ 1 x)) (log1p (/ -1 x))) in x 2.454 * [taylor]: Taking taylor expansion of (log1p (/ 1 x)) in x 2.454 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 x))) 2.454 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 x)) in x 2.454 * [taylor]: Taking taylor expansion of 1 in x 2.454 * [backup-simplify]: Simplify 1 into 1 2.454 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.454 * [taylor]: Taking taylor expansion of x in x 2.454 * [backup-simplify]: Simplify 0 into 0 2.454 * [backup-simplify]: Simplify 1 into 1 2.454 * [backup-simplify]: Simplify (/ 1 1) into 1 2.455 * [backup-simplify]: Simplify (+ 0 1) into 1 2.455 * [backup-simplify]: Simplify (log 1) into 0 2.455 * [taylor]: Taking taylor expansion of (log1p (/ -1 x)) in x 2.455 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 x))) 2.455 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 x)) in x 2.455 * [taylor]: Taking taylor expansion of 1 in x 2.455 * [backup-simplify]: Simplify 1 into 1 2.455 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.455 * [taylor]: Taking taylor expansion of -1 in x 2.455 * [backup-simplify]: Simplify -1 into -1 2.455 * [taylor]: Taking taylor expansion of x in x 2.456 * [backup-simplify]: Simplify 0 into 0 2.456 * [backup-simplify]: Simplify 1 into 1 2.456 * [backup-simplify]: Simplify (/ -1 1) into -1 2.456 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.457 * [backup-simplify]: Simplify (log -1) into (log -1) 2.457 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 2.458 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 2.459 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 2.459 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 2.460 * [backup-simplify]: Simplify (/ (- (log x)) (- (log -1) (log x))) into (* -1 (/ (log x) (- (log -1) (log x)))) 2.460 * [backup-simplify]: Simplify (* -1 (/ (log x) (- (log -1) (log x)))) into (* -1 (/ (log x) (- (log -1) (log x)))) 2.461 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.462 * [backup-simplify]: Simplify (+ 1 0) into 1 2.463 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 2.463 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 2.464 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.464 * [backup-simplify]: Simplify (+ 1 0) into 1 2.465 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 2.465 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 2.466 * [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))) 2.467 * [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))) 2.468 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.468 * [backup-simplify]: Simplify (+ 0 0) into 0 2.469 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 2.470 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 2.470 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.471 * [backup-simplify]: Simplify (+ 0 0) into 0 2.472 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 2.473 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 2.474 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 2.477 * [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)))))) 2.479 * [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)))))) 2.484 * [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))))))))))) 2.484 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 2.484 * [backup-simplify]: Simplify (log1p (- x)) into (log1p (- x)) 2.484 * [approximate]: Taking taylor expansion of (log1p (- x)) in (x) around 0 2.484 * [taylor]: Taking taylor expansion of (log1p (- x)) in x 2.484 * [taylor]: Rewrote expression to (log (+ 1 (- x))) 2.484 * [taylor]: Taking taylor expansion of (+ 1 (- x)) in x 2.484 * [taylor]: Taking taylor expansion of 1 in x 2.484 * [backup-simplify]: Simplify 1 into 1 2.484 * [taylor]: Taking taylor expansion of (- x) in x 2.484 * [taylor]: Taking taylor expansion of x in x 2.484 * [backup-simplify]: Simplify 0 into 0 2.484 * [backup-simplify]: Simplify 1 into 1 2.484 * [backup-simplify]: Simplify (- 0) into 0 2.485 * [backup-simplify]: Simplify (+ 1 0) into 1 2.485 * [backup-simplify]: Simplify (log 1) into 0 2.485 * [taylor]: Taking taylor expansion of (log1p (- x)) in x 2.485 * [taylor]: Rewrote expression to (log (+ 1 (- x))) 2.485 * [taylor]: Taking taylor expansion of (+ 1 (- x)) in x 2.485 * [taylor]: Taking taylor expansion of 1 in x 2.485 * [backup-simplify]: Simplify 1 into 1 2.485 * [taylor]: Taking taylor expansion of (- x) in x 2.485 * [taylor]: Taking taylor expansion of x in x 2.485 * [backup-simplify]: Simplify 0 into 0 2.485 * [backup-simplify]: Simplify 1 into 1 2.486 * [backup-simplify]: Simplify (- 0) into 0 2.486 * [backup-simplify]: Simplify (+ 1 0) into 1 2.487 * [backup-simplify]: Simplify (log 1) into 0 2.487 * [backup-simplify]: Simplify 0 into 0 2.487 * [backup-simplify]: Simplify (- 1) into -1 2.487 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.489 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 2.489 * [backup-simplify]: Simplify -1 into -1 2.489 * [backup-simplify]: Simplify (- 0) into 0 2.489 * [backup-simplify]: Simplify (+ 0 0) into 0 2.494 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 2.494 * [backup-simplify]: Simplify -1/2 into -1/2 2.495 * [backup-simplify]: Simplify (- 0) into 0 2.495 * [backup-simplify]: Simplify (+ 0 0) into 0 2.498 * [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 2.498 * [backup-simplify]: Simplify -1/3 into -1/3 2.498 * [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))))) 2.498 * [backup-simplify]: Simplify (log1p (- (/ 1 x))) into (log1p (- (/ 1 x))) 2.498 * [approximate]: Taking taylor expansion of (log1p (- (/ 1 x))) in (x) around 0 2.498 * [taylor]: Taking taylor expansion of (log1p (- (/ 1 x))) in x 2.498 * [taylor]: Rewrote expression to (log (+ 1 (- (/ 1 x)))) 2.498 * [taylor]: Taking taylor expansion of (+ 1 (- (/ 1 x))) in x 2.498 * [taylor]: Taking taylor expansion of 1 in x 2.498 * [backup-simplify]: Simplify 1 into 1 2.498 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 2.498 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.498 * [taylor]: Taking taylor expansion of x in x 2.498 * [backup-simplify]: Simplify 0 into 0 2.498 * [backup-simplify]: Simplify 1 into 1 2.499 * [backup-simplify]: Simplify (/ 1 1) into 1 2.499 * [backup-simplify]: Simplify (- 1) into -1 2.499 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.499 * [backup-simplify]: Simplify (log -1) into (log -1) 2.499 * [taylor]: Taking taylor expansion of (log1p (- (/ 1 x))) in x 2.499 * [taylor]: Rewrote expression to (log (+ 1 (- (/ 1 x)))) 2.499 * [taylor]: Taking taylor expansion of (+ 1 (- (/ 1 x))) in x 2.499 * [taylor]: Taking taylor expansion of 1 in x 2.499 * [backup-simplify]: Simplify 1 into 1 2.499 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 2.499 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.499 * [taylor]: Taking taylor expansion of x in x 2.499 * [backup-simplify]: Simplify 0 into 0 2.499 * [backup-simplify]: Simplify 1 into 1 2.500 * [backup-simplify]: Simplify (/ 1 1) into 1 2.500 * [backup-simplify]: Simplify (- 1) into -1 2.500 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.500 * [backup-simplify]: Simplify (log -1) into (log -1) 2.501 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 2.501 * [backup-simplify]: Simplify (- (log -1) (log x)) into (- (log -1) (log x)) 2.502 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.502 * [backup-simplify]: Simplify (- 0) into 0 2.502 * [backup-simplify]: Simplify (+ 1 0) into 1 2.503 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 2.503 * [backup-simplify]: Simplify -1 into -1 2.504 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.504 * [backup-simplify]: Simplify (- 0) into 0 2.505 * [backup-simplify]: Simplify (+ 0 0) into 0 2.507 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 2.507 * [backup-simplify]: Simplify -1/2 into -1/2 2.508 * [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)))) 2.508 * [backup-simplify]: Simplify (log1p (- (/ 1 (- x)))) into (log1p (/ 1 x)) 2.508 * [approximate]: Taking taylor expansion of (log1p (/ 1 x)) in (x) around 0 2.508 * [taylor]: Taking taylor expansion of (log1p (/ 1 x)) in x 2.508 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 x))) 2.508 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 x)) in x 2.508 * [taylor]: Taking taylor expansion of 1 in x 2.508 * [backup-simplify]: Simplify 1 into 1 2.508 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.508 * [taylor]: Taking taylor expansion of x in x 2.508 * [backup-simplify]: Simplify 0 into 0 2.508 * [backup-simplify]: Simplify 1 into 1 2.509 * [backup-simplify]: Simplify (/ 1 1) into 1 2.509 * [backup-simplify]: Simplify (+ 0 1) into 1 2.510 * [backup-simplify]: Simplify (log 1) into 0 2.510 * [taylor]: Taking taylor expansion of (log1p (/ 1 x)) in x 2.510 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 x))) 2.510 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 x)) in x 2.510 * [taylor]: Taking taylor expansion of 1 in x 2.510 * [backup-simplify]: Simplify 1 into 1 2.510 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.510 * [taylor]: Taking taylor expansion of x in x 2.510 * [backup-simplify]: Simplify 0 into 0 2.510 * [backup-simplify]: Simplify 1 into 1 2.510 * [backup-simplify]: Simplify (/ 1 1) into 1 2.511 * [backup-simplify]: Simplify (+ 0 1) into 1 2.511 * [backup-simplify]: Simplify (log 1) into 0 2.511 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 2.511 * [backup-simplify]: Simplify (- (log x)) into (- (log x)) 2.512 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.513 * [backup-simplify]: Simplify (+ 1 0) into 1 2.514 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 2.514 * [backup-simplify]: Simplify 1 into 1 2.515 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.515 * [backup-simplify]: Simplify (+ 0 0) into 0 2.518 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 2.518 * [backup-simplify]: Simplify -1/2 into -1/2 2.518 * [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)))) 2.518 * * * [progress]: simplifying candidates 2.518 * * * * [progress]: [ 1 / 48 ] simplifiying candidate # 2.518 * * * * [progress]: [ 2 / 48 ] simplifiying candidate # 2.518 * * * * [progress]: [ 3 / 48 ] simplifiying candidate # 2.518 * * * * [progress]: [ 4 / 48 ] simplifiying candidate # 2.518 * * * * [progress]: [ 5 / 48 ] simplifiying candidate # 2.519 * * * * [progress]: [ 6 / 48 ] simplifiying candidate # 2.519 * * * * [progress]: [ 7 / 48 ] simplifiying candidate # 2.519 * * * * [progress]: [ 8 / 48 ] simplifiying candidate # 2.519 * * * * [progress]: [ 9 / 48 ] simplifiying candidate # 2.519 * * * * [progress]: [ 10 / 48 ] simplifiying candidate # 2.519 * * * * [progress]: [ 11 / 48 ] simplifiying candidate # 2.519 * * * * [progress]: [ 12 / 48 ] simplifiying candidate # 2.519 * * * * [progress]: [ 13 / 48 ] simplifiying candidate # 2.519 * * * * [progress]: [ 14 / 48 ] simplifiying candidate # 2.519 * * * * [progress]: [ 15 / 48 ] simplifiying candidate # 2.519 * * * * [progress]: [ 16 / 48 ] simplifiying candidate # 2.519 * * * * [progress]: [ 17 / 48 ] simplifiying candidate # 2.519 * * * * [progress]: [ 18 / 48 ] simplifiying candidate # 2.519 * * * * [progress]: [ 19 / 48 ] simplifiying candidate # 2.519 * * * * [progress]: [ 20 / 48 ] simplifiying candidate # 2.519 * * * * [progress]: [ 21 / 48 ] simplifiying candidate # 2.519 * * * * [progress]: [ 22 / 48 ] simplifiying candidate # 2.519 * * * * [progress]: [ 23 / 48 ] simplifiying candidate # 2.519 * * * * [progress]: [ 24 / 48 ] simplifiying candidate # 2.519 * * * * [progress]: [ 25 / 48 ] simplifiying candidate # 2.519 * * * * [progress]: [ 26 / 48 ] simplifiying candidate # 2.519 * * * * [progress]: [ 27 / 48 ] simplifiying candidate # 2.519 * * * * [progress]: [ 28 / 48 ] simplifiying candidate # 2.519 * * * * [progress]: [ 29 / 48 ] simplifiying candidate # 2.519 * * * * [progress]: [ 30 / 48 ] simplifiying candidate #real (real->posit16 (/ (log1p (- x)) (log1p x)))))> 2.519 * * * * [progress]: [ 31 / 48 ] simplifiying candidate # 2.519 * * * * [progress]: [ 32 / 48 ] simplifiying candidate # 2.520 * * * * [progress]: [ 33 / 48 ] simplifiying candidate # 2.520 * * * * [progress]: [ 34 / 48 ] simplifiying candidate # 2.520 * * * * [progress]: [ 35 / 48 ] simplifiying candidate # 2.520 * * * * [progress]: [ 36 / 48 ] simplifiying candidate # 2.520 * * * * [progress]: [ 37 / 48 ] simplifiying candidate # 2.520 * * * * [progress]: [ 38 / 48 ] simplifiying candidate # 2.520 * * * * [progress]: [ 39 / 48 ] simplifiying candidate # 2.520 * * * * [progress]: [ 40 / 48 ] simplifiying candidate # 2.520 * * * * [progress]: [ 41 / 48 ] simplifiying candidate # 2.520 * * * * [progress]: [ 42 / 48 ] simplifiying candidate #real (real->posit16 (log1p (- x)))) (log1p x)))> 2.520 * * * * [progress]: [ 43 / 48 ] simplifiying candidate # 2.520 * * * * [progress]: [ 44 / 48 ] simplifiying candidate # 2.520 * * * * [progress]: [ 45 / 48 ] simplifiying candidate # 2.520 * * * * [progress]: [ 46 / 48 ] simplifiying candidate # 2.520 * * * * [progress]: [ 47 / 48 ] simplifiying candidate # 2.520 * * * * [progress]: [ 48 / 48 ] simplifiying candidate # 2.520 * [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))), (+ 1 (- x)), (expm1 (log1p (- x))), (log1p (log1p (- x))), (log (log1p (- x))), (exp (log1p (- x))), (* (cbrt (log1p (- x))) (cbrt (log1p (- x)))), (cbrt (log1p (- x))), (* (* (log1p (- x)) (log1p (- x))) (log1p (- x))), (sqrt (log1p (- x))), (sqrt (log1p (- x))), (real->posit16 (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))))))))))), (- (+ 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)))) 2.521 * * [simplify]: iteration 1: (130 enodes) 2.576 * * [simplify]: iteration 2: (554 enodes) 2.705 * * [simplify]: iteration 3: (1260 enodes) 3.184 * * [simplify]: Extracting #0: cost 48 inf + 0 3.185 * * [simplify]: Extracting #1: cost 317 inf + 1 3.187 * * [simplify]: Extracting #2: cost 834 inf + 1152 3.195 * * [simplify]: Extracting #3: cost 960 inf + 23648 3.226 * * [simplify]: Extracting #4: cost 550 inf + 144167 3.324 * * [simplify]: Extracting #5: cost 115 inf + 356037 3.507 * * [simplify]: Extracting #6: cost 5 inf + 422233 3.665 * * [simplify]: Extracting #7: cost 0 inf + 421445 3.838 * * [simplify]: Extracting #8: cost 0 inf + 421130 3.974 * [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))), (- 1 x), (- x), (log1p (log1p (- x))), (log (log1p (- x))), (exp (log1p (- x))), (* (cbrt (log1p (- x))) (cbrt (log1p (- x)))), (cbrt (log1p (- x))), (* (* (log1p (- x)) (log1p (- x))) (log1p (- x))), (sqrt (log1p (- x))), (sqrt (log1p (- x))), (real->posit16 (log1p (- x))), (+ -1 (- (fma (* x x) 1/2 x))), (- (- (+ (fma (/ (log -1) (* (* x (log x)) (* x (log x)))) 1/2 1) (+ (/ (/ 2 x) (- (log x))) (- (/ 2 (* (* x (log x)) (* x (log x)))) (/ (/ (log -1) (- (log x))) (* (* x (log x)) (* x (log x))))))) (/ (log -1) (- (log x)))) (/ (/ (log -1) (* (log x) (log x))) x)), (- (/ 1 (* (* x (+ 0 (log x))) (* x (+ 0 (log x))))) (- (+ (/ (/ (log (/ -1 x)) (* (* x (+ 0 (log x))) (* x (+ 0 (log x))))) (+ 0 (log x))) (+ (/ (log (/ -1 x)) (+ 0 (log x))) (fma (/ (log (/ -1 x)) (* (* x (+ 0 (log x))) (* x (+ 0 (log x))))) 1/2 (+ (/ (/ 1/2 x) (* x (+ 0 (log x)))) (/ (/ 1 x) (+ 0 (log x))))))) (/ (/ (/ (log (/ -1 x)) (+ 0 (log x))) (+ 0 (log x))) x))), (- (fma x (* (* x x) 1/3) (fma (* x x) 1/2 x))), (- (log -1) (fma (/ 1/2 x) (/ 1 x) (- (/ 1 x) (log x)))), (+ (/ -1/2 (* x x)) (+ (/ -1 x) (- (log (/ -1 x))))) 3.977 * * * [progress]: adding candidates to table 4.259 * * [progress]: iteration 3 / 4 4.259 * * * [progress]: picking best candidate 4.269 * * * * [pick]: Picked # 4.269 * * * [progress]: localizing error 4.279 * * * [progress]: generating rewritten candidates 4.279 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 4.286 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 4.286 * * * [progress]: generating series expansions 4.286 * * * * [progress]: [ 1 / 2 ] generating series at (2) 4.287 * [backup-simplify]: Simplify (/ (log1p (- x)) (log1p x)) into (/ (log1p (- x)) (log1p x)) 4.287 * [approximate]: Taking taylor expansion of (/ (log1p (- x)) (log1p x)) in (x) around 0 4.287 * [taylor]: Taking taylor expansion of (/ (log1p (- x)) (log1p x)) in x 4.287 * [taylor]: Taking taylor expansion of (log1p (- x)) in x 4.287 * [taylor]: Rewrote expression to (log (+ 1 (- x))) 4.287 * [taylor]: Taking taylor expansion of (+ 1 (- x)) in x 4.287 * [taylor]: Taking taylor expansion of 1 in x 4.287 * [backup-simplify]: Simplify 1 into 1 4.287 * [taylor]: Taking taylor expansion of (- x) in x 4.287 * [taylor]: Taking taylor expansion of x in x 4.287 * [backup-simplify]: Simplify 0 into 0 4.287 * [backup-simplify]: Simplify 1 into 1 4.287 * [backup-simplify]: Simplify (- 0) into 0 4.288 * [backup-simplify]: Simplify (+ 1 0) into 1 4.288 * [backup-simplify]: Simplify (log 1) into 0 4.288 * [taylor]: Taking taylor expansion of (log1p x) in x 4.288 * [taylor]: Rewrote expression to (log (+ 1 x)) 4.288 * [taylor]: Taking taylor expansion of (+ 1 x) in x 4.288 * [taylor]: Taking taylor expansion of 1 in x 4.288 * [backup-simplify]: Simplify 1 into 1 4.288 * [taylor]: Taking taylor expansion of x in x 4.288 * [backup-simplify]: Simplify 0 into 0 4.288 * [backup-simplify]: Simplify 1 into 1 4.288 * [backup-simplify]: Simplify (+ 1 0) into 1 4.288 * [backup-simplify]: Simplify (log 1) into 0 4.289 * [backup-simplify]: Simplify (- 1) into -1 4.289 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.290 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 4.290 * [backup-simplify]: Simplify (+ 0 1) into 1 4.291 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 4.291 * [backup-simplify]: Simplify (/ -1 1) into -1 4.291 * [taylor]: Taking taylor expansion of (/ (log1p (- x)) (log1p x)) in x 4.291 * [taylor]: Taking taylor expansion of (log1p (- x)) in x 4.291 * [taylor]: Rewrote expression to (log (+ 1 (- x))) 4.291 * [taylor]: Taking taylor expansion of (+ 1 (- x)) in x 4.291 * [taylor]: Taking taylor expansion of 1 in x 4.291 * [backup-simplify]: Simplify 1 into 1 4.291 * [taylor]: Taking taylor expansion of (- x) in x 4.291 * [taylor]: Taking taylor expansion of x in x 4.291 * [backup-simplify]: Simplify 0 into 0 4.291 * [backup-simplify]: Simplify 1 into 1 4.292 * [backup-simplify]: Simplify (- 0) into 0 4.292 * [backup-simplify]: Simplify (+ 1 0) into 1 4.292 * [backup-simplify]: Simplify (log 1) into 0 4.292 * [taylor]: Taking taylor expansion of (log1p x) in x 4.292 * [taylor]: Rewrote expression to (log (+ 1 x)) 4.292 * [taylor]: Taking taylor expansion of (+ 1 x) in x 4.292 * [taylor]: Taking taylor expansion of 1 in x 4.292 * [backup-simplify]: Simplify 1 into 1 4.292 * [taylor]: Taking taylor expansion of x in x 4.292 * [backup-simplify]: Simplify 0 into 0 4.292 * [backup-simplify]: Simplify 1 into 1 4.292 * [backup-simplify]: Simplify (+ 1 0) into 1 4.293 * [backup-simplify]: Simplify (log 1) into 0 4.293 * [backup-simplify]: Simplify (- 1) into -1 4.293 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.294 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 4.294 * [backup-simplify]: Simplify (+ 0 1) into 1 4.295 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 4.295 * [backup-simplify]: Simplify (/ -1 1) into -1 4.295 * [backup-simplify]: Simplify -1 into -1 4.296 * [backup-simplify]: Simplify (- 0) into 0 4.296 * [backup-simplify]: Simplify (+ 0 0) into 0 4.297 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 4.298 * [backup-simplify]: Simplify (+ 0 0) into 0 4.299 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 4.300 * [backup-simplify]: Simplify (- (/ -1/2 1) (+ (* -1 (/ -1/2 1)))) into -1 4.300 * [backup-simplify]: Simplify -1 into -1 4.300 * [backup-simplify]: Simplify (- 0) into 0 4.300 * [backup-simplify]: Simplify (+ 0 0) into 0 4.303 * [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 4.303 * [backup-simplify]: Simplify (+ 0 0) into 0 4.306 * [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 4.307 * [backup-simplify]: Simplify (- (/ -1/3 1) (+ (* -1 (/ 1/3 1)) (* -1 (/ -1/2 1)))) into -1/2 4.307 * [backup-simplify]: Simplify -1/2 into -1/2 4.307 * [backup-simplify]: Simplify (+ (* -1/2 (pow x 2)) (+ (* -1 x) -1)) into (- (+ x (+ (* 1/2 (pow x 2)) 1))) 4.307 * [backup-simplify]: Simplify (/ (log1p (- (/ 1 x))) (log1p (/ 1 x))) into (/ (log1p (- (/ 1 x))) (log1p (/ 1 x))) 4.307 * [approximate]: Taking taylor expansion of (/ (log1p (- (/ 1 x))) (log1p (/ 1 x))) in (x) around 0 4.307 * [taylor]: Taking taylor expansion of (/ (log1p (- (/ 1 x))) (log1p (/ 1 x))) in x 4.307 * [taylor]: Taking taylor expansion of (log1p (- (/ 1 x))) in x 4.307 * [taylor]: Rewrote expression to (log (+ 1 (- (/ 1 x)))) 4.307 * [taylor]: Taking taylor expansion of (+ 1 (- (/ 1 x))) in x 4.307 * [taylor]: Taking taylor expansion of 1 in x 4.307 * [backup-simplify]: Simplify 1 into 1 4.307 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 4.307 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.307 * [taylor]: Taking taylor expansion of x in x 4.307 * [backup-simplify]: Simplify 0 into 0 4.307 * [backup-simplify]: Simplify 1 into 1 4.307 * [backup-simplify]: Simplify (/ 1 1) into 1 4.308 * [backup-simplify]: Simplify (- 1) into -1 4.308 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.308 * [backup-simplify]: Simplify (log -1) into (log -1) 4.308 * [taylor]: Taking taylor expansion of (log1p (/ 1 x)) in x 4.308 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 x))) 4.308 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 x)) in x 4.308 * [taylor]: Taking taylor expansion of 1 in x 4.308 * [backup-simplify]: Simplify 1 into 1 4.308 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.308 * [taylor]: Taking taylor expansion of x in x 4.308 * [backup-simplify]: Simplify 0 into 0 4.308 * [backup-simplify]: Simplify 1 into 1 4.309 * [backup-simplify]: Simplify (/ 1 1) into 1 4.309 * [backup-simplify]: Simplify (+ 0 1) into 1 4.309 * [backup-simplify]: Simplify (log 1) into 0 4.310 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 4.310 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 4.311 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 4.311 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 4.311 * [backup-simplify]: Simplify (/ (- (log -1) (log x)) (- (log x))) into (* -1 (/ (- (log -1) (log x)) (log x))) 4.312 * [taylor]: Taking taylor expansion of (/ (log1p (- (/ 1 x))) (log1p (/ 1 x))) in x 4.312 * [taylor]: Taking taylor expansion of (log1p (- (/ 1 x))) in x 4.312 * [taylor]: Rewrote expression to (log (+ 1 (- (/ 1 x)))) 4.312 * [taylor]: Taking taylor expansion of (+ 1 (- (/ 1 x))) in x 4.312 * [taylor]: Taking taylor expansion of 1 in x 4.312 * [backup-simplify]: Simplify 1 into 1 4.312 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 4.312 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.312 * [taylor]: Taking taylor expansion of x in x 4.312 * [backup-simplify]: Simplify 0 into 0 4.312 * [backup-simplify]: Simplify 1 into 1 4.312 * [backup-simplify]: Simplify (/ 1 1) into 1 4.312 * [backup-simplify]: Simplify (- 1) into -1 4.312 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.313 * [backup-simplify]: Simplify (log -1) into (log -1) 4.313 * [taylor]: Taking taylor expansion of (log1p (/ 1 x)) in x 4.313 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 x))) 4.313 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 x)) in x 4.313 * [taylor]: Taking taylor expansion of 1 in x 4.313 * [backup-simplify]: Simplify 1 into 1 4.313 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.313 * [taylor]: Taking taylor expansion of x in x 4.313 * [backup-simplify]: Simplify 0 into 0 4.313 * [backup-simplify]: Simplify 1 into 1 4.313 * [backup-simplify]: Simplify (/ 1 1) into 1 4.313 * [backup-simplify]: Simplify (+ 0 1) into 1 4.314 * [backup-simplify]: Simplify (log 1) into 0 4.314 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 4.314 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 4.315 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 4.315 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 4.315 * [backup-simplify]: Simplify (/ (- (log -1) (log x)) (- (log x))) into (* -1 (/ (- (log -1) (log x)) (log x))) 4.316 * [backup-simplify]: Simplify (* -1 (/ (- (log -1) (log x)) (log x))) into (* -1 (/ (- (log -1) (log x)) (log x))) 4.316 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.316 * [backup-simplify]: Simplify (- 0) into 0 4.317 * [backup-simplify]: Simplify (+ 1 0) into 1 4.318 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 4.318 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 4.318 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.319 * [backup-simplify]: Simplify (+ 1 0) into 1 4.320 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 4.320 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 4.321 * [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))) 4.321 * [backup-simplify]: Simplify (- (* 2 (/ 1 (log x))) (/ (log -1) (pow (log x) 2))) into (- (* 2 (/ 1 (log x))) (/ (log -1) (pow (log x) 2))) 4.322 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.323 * [backup-simplify]: Simplify (- 0) into 0 4.323 * [backup-simplify]: Simplify (+ 0 0) into 0 4.326 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 4.326 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 4.327 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.327 * [backup-simplify]: Simplify (+ 0 0) into 0 4.330 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 4.331 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 4.331 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 4.333 * [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))) 4.334 * [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))) 4.336 * [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))))) 4.337 * [backup-simplify]: Simplify (/ (log1p (- (/ 1 (- x)))) (log1p (/ 1 (- x)))) into (/ (log1p (/ 1 x)) (log1p (/ -1 x))) 4.337 * [approximate]: Taking taylor expansion of (/ (log1p (/ 1 x)) (log1p (/ -1 x))) in (x) around 0 4.337 * [taylor]: Taking taylor expansion of (/ (log1p (/ 1 x)) (log1p (/ -1 x))) in x 4.337 * [taylor]: Taking taylor expansion of (log1p (/ 1 x)) in x 4.337 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 x))) 4.337 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 x)) in x 4.337 * [taylor]: Taking taylor expansion of 1 in x 4.337 * [backup-simplify]: Simplify 1 into 1 4.337 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.337 * [taylor]: Taking taylor expansion of x in x 4.337 * [backup-simplify]: Simplify 0 into 0 4.337 * [backup-simplify]: Simplify 1 into 1 4.337 * [backup-simplify]: Simplify (/ 1 1) into 1 4.338 * [backup-simplify]: Simplify (+ 0 1) into 1 4.338 * [backup-simplify]: Simplify (log 1) into 0 4.338 * [taylor]: Taking taylor expansion of (log1p (/ -1 x)) in x 4.338 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 x))) 4.338 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 x)) in x 4.338 * [taylor]: Taking taylor expansion of 1 in x 4.338 * [backup-simplify]: Simplify 1 into 1 4.338 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.338 * [taylor]: Taking taylor expansion of -1 in x 4.338 * [backup-simplify]: Simplify -1 into -1 4.338 * [taylor]: Taking taylor expansion of x in x 4.338 * [backup-simplify]: Simplify 0 into 0 4.339 * [backup-simplify]: Simplify 1 into 1 4.339 * [backup-simplify]: Simplify (/ -1 1) into -1 4.339 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.340 * [backup-simplify]: Simplify (log -1) into (log -1) 4.340 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 4.341 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 4.341 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 4.342 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 4.343 * [backup-simplify]: Simplify (/ (- (log x)) (- (log -1) (log x))) into (* -1 (/ (log x) (- (log -1) (log x)))) 4.343 * [taylor]: Taking taylor expansion of (/ (log1p (/ 1 x)) (log1p (/ -1 x))) in x 4.343 * [taylor]: Taking taylor expansion of (log1p (/ 1 x)) in x 4.343 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 x))) 4.343 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 x)) in x 4.343 * [taylor]: Taking taylor expansion of 1 in x 4.343 * [backup-simplify]: Simplify 1 into 1 4.343 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.343 * [taylor]: Taking taylor expansion of x in x 4.343 * [backup-simplify]: Simplify 0 into 0 4.343 * [backup-simplify]: Simplify 1 into 1 4.343 * [backup-simplify]: Simplify (/ 1 1) into 1 4.343 * [backup-simplify]: Simplify (+ 0 1) into 1 4.344 * [backup-simplify]: Simplify (log 1) into 0 4.344 * [taylor]: Taking taylor expansion of (log1p (/ -1 x)) in x 4.344 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 x))) 4.344 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 x)) in x 4.344 * [taylor]: Taking taylor expansion of 1 in x 4.344 * [backup-simplify]: Simplify 1 into 1 4.344 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.344 * [taylor]: Taking taylor expansion of -1 in x 4.344 * [backup-simplify]: Simplify -1 into -1 4.344 * [taylor]: Taking taylor expansion of x in x 4.344 * [backup-simplify]: Simplify 0 into 0 4.344 * [backup-simplify]: Simplify 1 into 1 4.344 * [backup-simplify]: Simplify (/ -1 1) into -1 4.344 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.345 * [backup-simplify]: Simplify (log -1) into (log -1) 4.345 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 4.346 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 4.346 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 4.347 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 4.348 * [backup-simplify]: Simplify (/ (- (log x)) (- (log -1) (log x))) into (* -1 (/ (log x) (- (log -1) (log x)))) 4.348 * [backup-simplify]: Simplify (* -1 (/ (log x) (- (log -1) (log x)))) into (* -1 (/ (log x) (- (log -1) (log x)))) 4.349 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.349 * [backup-simplify]: Simplify (+ 1 0) into 1 4.351 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 4.351 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 4.352 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.352 * [backup-simplify]: Simplify (+ 1 0) into 1 4.353 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 4.354 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 4.354 * [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))) 4.355 * [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))) 4.356 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.356 * [backup-simplify]: Simplify (+ 0 0) into 0 4.358 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 4.358 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 4.359 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.359 * [backup-simplify]: Simplify (+ 0 0) into 0 4.360 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 4.361 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 4.362 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 4.364 * [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)))))) 4.365 * [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)))))) 4.368 * [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))))))))))) 4.368 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 4.368 * [backup-simplify]: Simplify (log1p (- x)) into (log1p (- x)) 4.368 * [approximate]: Taking taylor expansion of (log1p (- x)) in (x) around 0 4.368 * [taylor]: Taking taylor expansion of (log1p (- x)) in x 4.368 * [taylor]: Rewrote expression to (log (+ 1 (- x))) 4.368 * [taylor]: Taking taylor expansion of (+ 1 (- x)) in x 4.368 * [taylor]: Taking taylor expansion of 1 in x 4.368 * [backup-simplify]: Simplify 1 into 1 4.368 * [taylor]: Taking taylor expansion of (- x) in x 4.368 * [taylor]: Taking taylor expansion of x in x 4.368 * [backup-simplify]: Simplify 0 into 0 4.368 * [backup-simplify]: Simplify 1 into 1 4.368 * [backup-simplify]: Simplify (- 0) into 0 4.369 * [backup-simplify]: Simplify (+ 1 0) into 1 4.369 * [backup-simplify]: Simplify (log 1) into 0 4.369 * [taylor]: Taking taylor expansion of (log1p (- x)) in x 4.369 * [taylor]: Rewrote expression to (log (+ 1 (- x))) 4.369 * [taylor]: Taking taylor expansion of (+ 1 (- x)) in x 4.369 * [taylor]: Taking taylor expansion of 1 in x 4.369 * [backup-simplify]: Simplify 1 into 1 4.369 * [taylor]: Taking taylor expansion of (- x) in x 4.369 * [taylor]: Taking taylor expansion of x in x 4.369 * [backup-simplify]: Simplify 0 into 0 4.369 * [backup-simplify]: Simplify 1 into 1 4.369 * [backup-simplify]: Simplify (- 0) into 0 4.370 * [backup-simplify]: Simplify (+ 1 0) into 1 4.370 * [backup-simplify]: Simplify (log 1) into 0 4.370 * [backup-simplify]: Simplify 0 into 0 4.370 * [backup-simplify]: Simplify (- 1) into -1 4.370 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.371 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 4.371 * [backup-simplify]: Simplify -1 into -1 4.372 * [backup-simplify]: Simplify (- 0) into 0 4.372 * [backup-simplify]: Simplify (+ 0 0) into 0 4.373 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 4.373 * [backup-simplify]: Simplify -1/2 into -1/2 4.374 * [backup-simplify]: Simplify (- 0) into 0 4.374 * [backup-simplify]: Simplify (+ 0 0) into 0 4.377 * [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 4.377 * [backup-simplify]: Simplify -1/3 into -1/3 4.377 * [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))))) 4.377 * [backup-simplify]: Simplify (log1p (- (/ 1 x))) into (log1p (- (/ 1 x))) 4.377 * [approximate]: Taking taylor expansion of (log1p (- (/ 1 x))) in (x) around 0 4.377 * [taylor]: Taking taylor expansion of (log1p (- (/ 1 x))) in x 4.377 * [taylor]: Rewrote expression to (log (+ 1 (- (/ 1 x)))) 4.377 * [taylor]: Taking taylor expansion of (+ 1 (- (/ 1 x))) in x 4.377 * [taylor]: Taking taylor expansion of 1 in x 4.377 * [backup-simplify]: Simplify 1 into 1 4.377 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 4.377 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.377 * [taylor]: Taking taylor expansion of x in x 4.377 * [backup-simplify]: Simplify 0 into 0 4.377 * [backup-simplify]: Simplify 1 into 1 4.378 * [backup-simplify]: Simplify (/ 1 1) into 1 4.378 * [backup-simplify]: Simplify (- 1) into -1 4.378 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.378 * [backup-simplify]: Simplify (log -1) into (log -1) 4.379 * [taylor]: Taking taylor expansion of (log1p (- (/ 1 x))) in x 4.379 * [taylor]: Rewrote expression to (log (+ 1 (- (/ 1 x)))) 4.379 * [taylor]: Taking taylor expansion of (+ 1 (- (/ 1 x))) in x 4.379 * [taylor]: Taking taylor expansion of 1 in x 4.379 * [backup-simplify]: Simplify 1 into 1 4.379 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 4.379 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.379 * [taylor]: Taking taylor expansion of x in x 4.379 * [backup-simplify]: Simplify 0 into 0 4.379 * [backup-simplify]: Simplify 1 into 1 4.379 * [backup-simplify]: Simplify (/ 1 1) into 1 4.379 * [backup-simplify]: Simplify (- 1) into -1 4.379 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.380 * [backup-simplify]: Simplify (log -1) into (log -1) 4.380 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 4.380 * [backup-simplify]: Simplify (- (log -1) (log x)) into (- (log -1) (log x)) 4.381 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.385 * [backup-simplify]: Simplify (- 0) into 0 4.385 * [backup-simplify]: Simplify (+ 1 0) into 1 4.386 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 4.386 * [backup-simplify]: Simplify -1 into -1 4.387 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.387 * [backup-simplify]: Simplify (- 0) into 0 4.387 * [backup-simplify]: Simplify (+ 0 0) into 0 4.389 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 4.389 * [backup-simplify]: Simplify -1/2 into -1/2 4.389 * [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)))) 4.389 * [backup-simplify]: Simplify (log1p (- (/ 1 (- x)))) into (log1p (/ 1 x)) 4.389 * [approximate]: Taking taylor expansion of (log1p (/ 1 x)) in (x) around 0 4.389 * [taylor]: Taking taylor expansion of (log1p (/ 1 x)) in x 4.389 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 x))) 4.389 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 x)) in x 4.389 * [taylor]: Taking taylor expansion of 1 in x 4.390 * [backup-simplify]: Simplify 1 into 1 4.390 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.390 * [taylor]: Taking taylor expansion of x in x 4.390 * [backup-simplify]: Simplify 0 into 0 4.390 * [backup-simplify]: Simplify 1 into 1 4.390 * [backup-simplify]: Simplify (/ 1 1) into 1 4.390 * [backup-simplify]: Simplify (+ 0 1) into 1 4.390 * [backup-simplify]: Simplify (log 1) into 0 4.390 * [taylor]: Taking taylor expansion of (log1p (/ 1 x)) in x 4.390 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 x))) 4.390 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 x)) in x 4.390 * [taylor]: Taking taylor expansion of 1 in x 4.390 * [backup-simplify]: Simplify 1 into 1 4.390 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.390 * [taylor]: Taking taylor expansion of x in x 4.390 * [backup-simplify]: Simplify 0 into 0 4.390 * [backup-simplify]: Simplify 1 into 1 4.391 * [backup-simplify]: Simplify (/ 1 1) into 1 4.391 * [backup-simplify]: Simplify (+ 0 1) into 1 4.391 * [backup-simplify]: Simplify (log 1) into 0 4.392 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 4.392 * [backup-simplify]: Simplify (- (log x)) into (- (log x)) 4.392 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.393 * [backup-simplify]: Simplify (+ 1 0) into 1 4.393 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 4.393 * [backup-simplify]: Simplify 1 into 1 4.394 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.394 * [backup-simplify]: Simplify (+ 0 0) into 0 4.396 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 4.396 * [backup-simplify]: Simplify -1/2 into -1/2 4.396 * [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)))) 4.396 * * * [progress]: simplifying candidates 4.396 * * * * [progress]: [ 1 / 48 ] simplifiying candidate # 4.396 * * * * [progress]: [ 2 / 48 ] simplifiying candidate # 4.396 * * * * [progress]: [ 3 / 48 ] simplifiying candidate # 4.396 * * * * [progress]: [ 4 / 48 ] simplifiying candidate # 4.396 * * * * [progress]: [ 5 / 48 ] simplifiying candidate # 4.396 * * * * [progress]: [ 6 / 48 ] simplifiying candidate # 4.396 * * * * [progress]: [ 7 / 48 ] simplifiying candidate # 4.396 * * * * [progress]: [ 8 / 48 ] simplifiying candidate # 4.396 * * * * [progress]: [ 9 / 48 ] simplifiying candidate # 4.396 * * * * [progress]: [ 10 / 48 ] simplifiying candidate # 4.396 * * * * [progress]: [ 11 / 48 ] simplifiying candidate # 4.396 * * * * [progress]: [ 12 / 48 ] simplifiying candidate # 4.396 * * * * [progress]: [ 13 / 48 ] simplifiying candidate # 4.396 * * * * [progress]: [ 14 / 48 ] simplifiying candidate # 4.396 * * * * [progress]: [ 15 / 48 ] simplifiying candidate # 4.396 * * * * [progress]: [ 16 / 48 ] simplifiying candidate # 4.396 * * * * [progress]: [ 17 / 48 ] simplifiying candidate # 4.397 * * * * [progress]: [ 18 / 48 ] simplifiying candidate # 4.397 * * * * [progress]: [ 19 / 48 ] simplifiying candidate # 4.397 * * * * [progress]: [ 20 / 48 ] simplifiying candidate # 4.397 * * * * [progress]: [ 21 / 48 ] simplifiying candidate # 4.397 * * * * [progress]: [ 22 / 48 ] simplifiying candidate # 4.397 * * * * [progress]: [ 23 / 48 ] simplifiying candidate # 4.397 * * * * [progress]: [ 24 / 48 ] simplifiying candidate # 4.397 * * * * [progress]: [ 25 / 48 ] simplifiying candidate # 4.397 * * * * [progress]: [ 26 / 48 ] simplifiying candidate # 4.397 * * * * [progress]: [ 27 / 48 ] simplifiying candidate # 4.397 * * * * [progress]: [ 28 / 48 ] simplifiying candidate # 4.397 * * * * [progress]: [ 29 / 48 ] simplifiying candidate # 4.397 * * * * [progress]: [ 30 / 48 ] simplifiying candidate #real (real->posit16 (/ (log1p (- x)) (log1p x)))))> 4.397 * * * * [progress]: [ 31 / 48 ] simplifiying candidate # 4.397 * * * * [progress]: [ 32 / 48 ] simplifiying candidate # 4.397 * * * * [progress]: [ 33 / 48 ] simplifiying candidate # 4.397 * * * * [progress]: [ 34 / 48 ] simplifiying candidate # 4.397 * * * * [progress]: [ 35 / 48 ] simplifiying candidate # 4.397 * * * * [progress]: [ 36 / 48 ] simplifiying candidate # 4.397 * * * * [progress]: [ 37 / 48 ] simplifiying candidate # 4.397 * * * * [progress]: [ 38 / 48 ] simplifiying candidate # 4.397 * * * * [progress]: [ 39 / 48 ] simplifiying candidate # 4.397 * * * * [progress]: [ 40 / 48 ] simplifiying candidate # 4.397 * * * * [progress]: [ 41 / 48 ] simplifiying candidate # 4.397 * * * * [progress]: [ 42 / 48 ] simplifiying candidate #real (real->posit16 (log1p (- x)))) (log1p x)))> 4.397 * * * * [progress]: [ 43 / 48 ] simplifiying candidate # 4.397 * * * * [progress]: [ 44 / 48 ] simplifiying candidate # 4.397 * * * * [progress]: [ 45 / 48 ] simplifiying candidate # 4.397 * * * * [progress]: [ 46 / 48 ] simplifiying candidate # 4.397 * * * * [progress]: [ 47 / 48 ] simplifiying candidate # 4.398 * * * * [progress]: [ 48 / 48 ] simplifiying candidate # 4.398 * [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))), (+ 1 (- x)), (expm1 (log1p (- x))), (log1p (log1p (- x))), (log (log1p (- x))), (exp (log1p (- x))), (* (cbrt (log1p (- x))) (cbrt (log1p (- x)))), (cbrt (log1p (- x))), (* (* (log1p (- x)) (log1p (- x))) (log1p (- x))), (sqrt (log1p (- x))), (sqrt (log1p (- x))), (real->posit16 (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))))))))))), (- (+ 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)))) 4.399 * * [simplify]: iteration 1: (130 enodes) 4.438 * * [simplify]: iteration 2: (554 enodes) 4.566 * * [simplify]: iteration 3: (1260 enodes) 5.085 * * [simplify]: Extracting #0: cost 48 inf + 0 5.086 * * [simplify]: Extracting #1: cost 317 inf + 1 5.089 * * [simplify]: Extracting #2: cost 834 inf + 1152 5.095 * * [simplify]: Extracting #3: cost 960 inf + 23648 5.140 * * [simplify]: Extracting #4: cost 550 inf + 144167 5.242 * * [simplify]: Extracting #5: cost 115 inf + 356037 5.381 * * [simplify]: Extracting #6: cost 5 inf + 422233 5.539 * * [simplify]: Extracting #7: cost 0 inf + 421445 5.651 * * [simplify]: Extracting #8: cost 0 inf + 421130 5.751 * [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))), (- 1 x), (- x), (log1p (log1p (- x))), (log (log1p (- x))), (exp (log1p (- x))), (* (cbrt (log1p (- x))) (cbrt (log1p (- x)))), (cbrt (log1p (- x))), (* (* (log1p (- x)) (log1p (- x))) (log1p (- x))), (sqrt (log1p (- x))), (sqrt (log1p (- x))), (real->posit16 (log1p (- x))), (+ -1 (- (fma (* x x) 1/2 x))), (- (- (+ (fma (/ (log -1) (* (* x (log x)) (* x (log x)))) 1/2 1) (+ (/ (/ 2 x) (- (log x))) (- (/ 2 (* (* x (log x)) (* x (log x)))) (/ (/ (log -1) (- (log x))) (* (* x (log x)) (* x (log x))))))) (/ (log -1) (- (log x)))) (/ (/ (log -1) (* (log x) (log x))) x)), (- (/ 1 (* (* x (+ 0 (log x))) (* x (+ 0 (log x))))) (- (+ (/ (/ (log (/ -1 x)) (* (* x (+ 0 (log x))) (* x (+ 0 (log x))))) (+ 0 (log x))) (+ (/ (log (/ -1 x)) (+ 0 (log x))) (fma (/ (log (/ -1 x)) (* (* x (+ 0 (log x))) (* x (+ 0 (log x))))) 1/2 (+ (/ (/ 1/2 x) (* x (+ 0 (log x)))) (/ (/ 1 x) (+ 0 (log x))))))) (/ (/ (/ (log (/ -1 x)) (+ 0 (log x))) (+ 0 (log x))) x))), (- (fma x (* (* x x) 1/3) (fma (* x x) 1/2 x))), (- (log -1) (fma (/ 1/2 x) (/ 1 x) (- (/ 1 x) (log x)))), (+ (/ -1/2 (* x x)) (+ (/ -1 x) (- (log (/ -1 x))))) 5.753 * * * [progress]: adding candidates to table 6.068 * * [progress]: iteration 4 / 4 6.068 * * * [progress]: picking best candidate 6.074 * * * * [pick]: Picked # 6.074 * * * [progress]: localizing error 6.092 * * * [progress]: generating rewritten candidates 6.092 * * * [progress]: generating series expansions 6.092 * * * [progress]: simplifying candidates 6.092 * [simplify]: Simplifying 6.092 * * [simplify]: iteration 1: (0 enodes) 6.092 * * [simplify]: Extracting #0: cost 0 inf + 0 6.092 * [simplify]: Simplified to 6.092 * * * [progress]: adding candidates to table 6.093 * [progress]: [Phase 3 of 3] Extracting. 6.093 * * [regime]: Finding splitpoints for: (# # #) 6.093 * * * [regime-changes]: Trying 1 branch expressions: (x) 6.093 * * * * [regimes]: Trying to branch on x from (# # #) 6.127 * * * [regime]: Found split indices: #