20.396 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.304 * * * [progress]: [2/2] Setting up program. 0.307 * [progress]: [Phase 2 of 3] Improving. 0.307 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.307 * [simplify]: Simplifying: (/ (log (- 1 x)) (log (+ 1 x))) 0.307 * * [simplify]: iteration 1: (7 enodes) 0.309 * * [simplify]: iteration 2: (11 enodes) 0.312 * * [simplify]: iteration 3: (13 enodes) 0.315 * * [simplify]: Extracting #0: cost 1 inf + 0 0.315 * * [simplify]: Extracting #1: cost 3 inf + 0 0.315 * * [simplify]: Extracting #2: cost 7 inf + 0 0.315 * * [simplify]: Extracting #3: cost 5 inf + 133 0.315 * * [simplify]: Extracting #4: cost 2 inf + 526 0.316 * * [simplify]: Extracting #5: cost 0 inf + 572 0.316 * [simplify]: Simplified to: (/ (log (- 1 x)) (log1p x)) 0.324 * * [progress]: iteration 1 / 4 0.324 * * * [progress]: picking best candidate 0.331 * * * * [pick]: Picked # 0.332 * * * [progress]: localizing error 0.353 * * * [progress]: generating rewritten candidates 0.353 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.358 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.380 * * * [progress]: generating series expansions 0.380 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.380 * [backup-simplify]: Simplify (log (- 1 x)) into (log (- 1 x)) 0.380 * [approximate]: Taking taylor expansion of (log (- 1 x)) in (x) around 0 0.380 * [taylor]: Taking taylor expansion of (log (- 1 x)) in x 0.380 * [taylor]: Taking taylor expansion of (- 1 x) in x 0.380 * [taylor]: Taking taylor expansion of 1 in x 0.380 * [backup-simplify]: Simplify 1 into 1 0.380 * [taylor]: Taking taylor expansion of x in x 0.380 * [backup-simplify]: Simplify 0 into 0 0.380 * [backup-simplify]: Simplify 1 into 1 0.381 * [backup-simplify]: Simplify (- 0) into 0 0.381 * [backup-simplify]: Simplify (+ 1 0) into 1 0.381 * [backup-simplify]: Simplify (log 1) into 0 0.381 * [taylor]: Taking taylor expansion of (log (- 1 x)) in x 0.381 * [taylor]: Taking taylor expansion of (- 1 x) in x 0.381 * [taylor]: Taking taylor expansion of 1 in x 0.381 * [backup-simplify]: Simplify 1 into 1 0.381 * [taylor]: Taking taylor expansion of x in x 0.381 * [backup-simplify]: Simplify 0 into 0 0.381 * [backup-simplify]: Simplify 1 into 1 0.382 * [backup-simplify]: Simplify (- 0) into 0 0.382 * [backup-simplify]: Simplify (+ 1 0) into 1 0.382 * [backup-simplify]: Simplify (log 1) into 0 0.382 * [backup-simplify]: Simplify 0 into 0 0.382 * [backup-simplify]: Simplify (- 1) into -1 0.383 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.383 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 0.384 * [backup-simplify]: Simplify -1 into -1 0.384 * [backup-simplify]: Simplify (- 0) into 0 0.384 * [backup-simplify]: Simplify (+ 0 0) into 0 0.387 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.387 * [backup-simplify]: Simplify -1/2 into -1/2 0.387 * [backup-simplify]: Simplify (- 0) into 0 0.389 * [backup-simplify]: Simplify (+ 0 0) into 0 0.394 * [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 0.394 * [backup-simplify]: Simplify -1/3 into -1/3 0.394 * [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))))) 0.394 * [backup-simplify]: Simplify (log (- 1 (/ 1 x))) into (log (- 1 (/ 1 x))) 0.394 * [approximate]: Taking taylor expansion of (log (- 1 (/ 1 x))) in (x) around 0 0.394 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 x))) in x 0.394 * [taylor]: Taking taylor expansion of (- 1 (/ 1 x)) in x 0.394 * [taylor]: Taking taylor expansion of 1 in x 0.394 * [backup-simplify]: Simplify 1 into 1 0.394 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.394 * [taylor]: Taking taylor expansion of x in x 0.394 * [backup-simplify]: Simplify 0 into 0 0.394 * [backup-simplify]: Simplify 1 into 1 0.395 * [backup-simplify]: Simplify (/ 1 1) into 1 0.395 * [backup-simplify]: Simplify (- 1) into -1 0.396 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.396 * [backup-simplify]: Simplify (log -1) into (log -1) 0.396 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 x))) in x 0.396 * [taylor]: Taking taylor expansion of (- 1 (/ 1 x)) in x 0.396 * [taylor]: Taking taylor expansion of 1 in x 0.396 * [backup-simplify]: Simplify 1 into 1 0.396 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.396 * [taylor]: Taking taylor expansion of x in x 0.396 * [backup-simplify]: Simplify 0 into 0 0.396 * [backup-simplify]: Simplify 1 into 1 0.397 * [backup-simplify]: Simplify (/ 1 1) into 1 0.397 * [backup-simplify]: Simplify (- 1) into -1 0.398 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.398 * [backup-simplify]: Simplify (log -1) into (log -1) 0.399 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 0.400 * [backup-simplify]: Simplify (- (log -1) (log x)) into (- (log -1) (log x)) 0.400 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.401 * [backup-simplify]: Simplify (- 0) into 0 0.401 * [backup-simplify]: Simplify (+ 1 0) into 1 0.402 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 0.402 * [backup-simplify]: Simplify -1 into -1 0.402 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.402 * [backup-simplify]: Simplify (- 0) into 0 0.403 * [backup-simplify]: Simplify (+ 0 0) into 0 0.404 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 0.404 * [backup-simplify]: Simplify -1/2 into -1/2 0.405 * [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)))) 0.405 * [backup-simplify]: Simplify (log (- 1 (/ 1 (- x)))) into (log (+ (/ 1 x) 1)) 0.405 * [approximate]: Taking taylor expansion of (log (+ (/ 1 x) 1)) in (x) around 0 0.405 * [taylor]: Taking taylor expansion of (log (+ (/ 1 x) 1)) in x 0.405 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 0.405 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.405 * [taylor]: Taking taylor expansion of x in x 0.405 * [backup-simplify]: Simplify 0 into 0 0.405 * [backup-simplify]: Simplify 1 into 1 0.405 * [backup-simplify]: Simplify (/ 1 1) into 1 0.405 * [taylor]: Taking taylor expansion of 1 in x 0.405 * [backup-simplify]: Simplify 1 into 1 0.406 * [backup-simplify]: Simplify (+ 1 0) into 1 0.406 * [backup-simplify]: Simplify (log 1) into 0 0.406 * [taylor]: Taking taylor expansion of (log (+ (/ 1 x) 1)) in x 0.406 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 0.406 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.406 * [taylor]: Taking taylor expansion of x in x 0.406 * [backup-simplify]: Simplify 0 into 0 0.406 * [backup-simplify]: Simplify 1 into 1 0.406 * [backup-simplify]: Simplify (/ 1 1) into 1 0.406 * [taylor]: Taking taylor expansion of 1 in x 0.406 * [backup-simplify]: Simplify 1 into 1 0.406 * [backup-simplify]: Simplify (+ 1 0) into 1 0.407 * [backup-simplify]: Simplify (log 1) into 0 0.407 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 0.407 * [backup-simplify]: Simplify (- (log x)) into (- (log x)) 0.408 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.408 * [backup-simplify]: Simplify (+ 0 1) into 1 0.409 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.409 * [backup-simplify]: Simplify 1 into 1 0.409 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.409 * [backup-simplify]: Simplify (+ 0 0) into 0 0.411 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.411 * [backup-simplify]: Simplify -1/2 into -1/2 0.411 * [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)))) 0.411 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.411 * [backup-simplify]: Simplify (/ (log (- 1 x)) (log1p x)) into (/ (log (- 1 x)) (log1p x)) 0.411 * [approximate]: Taking taylor expansion of (/ (log (- 1 x)) (log1p x)) in (x) around 0 0.411 * [taylor]: Taking taylor expansion of (/ (log (- 1 x)) (log1p x)) in x 0.411 * [taylor]: Taking taylor expansion of (log (- 1 x)) in x 0.411 * [taylor]: Taking taylor expansion of (- 1 x) in x 0.411 * [taylor]: Taking taylor expansion of 1 in x 0.411 * [backup-simplify]: Simplify 1 into 1 0.412 * [taylor]: Taking taylor expansion of x in x 0.412 * [backup-simplify]: Simplify 0 into 0 0.412 * [backup-simplify]: Simplify 1 into 1 0.412 * [backup-simplify]: Simplify (- 0) into 0 0.412 * [backup-simplify]: Simplify (+ 1 0) into 1 0.412 * [backup-simplify]: Simplify (log 1) into 0 0.412 * [taylor]: Taking taylor expansion of (log1p x) in x 0.412 * [taylor]: Rewrote expression to (log (+ 1 x)) 0.412 * [taylor]: Taking taylor expansion of (+ 1 x) in x 0.412 * [taylor]: Taking taylor expansion of 1 in x 0.412 * [backup-simplify]: Simplify 1 into 1 0.412 * [taylor]: Taking taylor expansion of x in x 0.412 * [backup-simplify]: Simplify 0 into 0 0.412 * [backup-simplify]: Simplify 1 into 1 0.413 * [backup-simplify]: Simplify (+ 1 0) into 1 0.413 * [backup-simplify]: Simplify (log 1) into 0 0.413 * [backup-simplify]: Simplify (- 1) into -1 0.414 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.414 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 0.415 * [backup-simplify]: Simplify (+ 0 1) into 1 0.415 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.416 * [backup-simplify]: Simplify (/ -1 1) into -1 0.416 * [taylor]: Taking taylor expansion of (/ (log (- 1 x)) (log1p x)) in x 0.416 * [taylor]: Taking taylor expansion of (log (- 1 x)) in x 0.416 * [taylor]: Taking taylor expansion of (- 1 x) in x 0.416 * [taylor]: Taking taylor expansion of 1 in x 0.416 * [backup-simplify]: Simplify 1 into 1 0.416 * [taylor]: Taking taylor expansion of x in x 0.416 * [backup-simplify]: Simplify 0 into 0 0.416 * [backup-simplify]: Simplify 1 into 1 0.416 * [backup-simplify]: Simplify (- 0) into 0 0.416 * [backup-simplify]: Simplify (+ 1 0) into 1 0.416 * [backup-simplify]: Simplify (log 1) into 0 0.416 * [taylor]: Taking taylor expansion of (log1p x) in x 0.417 * [taylor]: Rewrote expression to (log (+ 1 x)) 0.417 * [taylor]: Taking taylor expansion of (+ 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 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 0) into 1 0.417 * [backup-simplify]: Simplify (log 1) into 0 0.417 * [backup-simplify]: Simplify (- 1) into -1 0.418 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.418 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 0.419 * [backup-simplify]: Simplify (+ 0 1) into 1 0.419 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.420 * [backup-simplify]: Simplify (/ -1 1) into -1 0.420 * [backup-simplify]: Simplify -1 into -1 0.420 * [backup-simplify]: Simplify (- 0) into 0 0.420 * [backup-simplify]: Simplify (+ 0 0) into 0 0.422 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.422 * [backup-simplify]: Simplify (+ 0 0) into 0 0.424 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.424 * [backup-simplify]: Simplify (- (/ -1/2 1) (+ (* -1 (/ -1/2 1)))) into -1 0.424 * [backup-simplify]: Simplify -1 into -1 0.424 * [backup-simplify]: Simplify (- 0) into 0 0.425 * [backup-simplify]: Simplify (+ 0 0) into 0 0.428 * [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 0.428 * [backup-simplify]: Simplify (+ 0 0) into 0 0.431 * [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 0.432 * [backup-simplify]: Simplify (- (/ -1/3 1) (+ (* -1 (/ 1/3 1)) (* -1 (/ -1/2 1)))) into -1/2 0.432 * [backup-simplify]: Simplify -1/2 into -1/2 0.432 * [backup-simplify]: Simplify (+ (* -1/2 (pow x 2)) (+ (* -1 x) -1)) into (- (+ x (+ (* 1/2 (pow x 2)) 1))) 0.432 * [backup-simplify]: Simplify (/ (log (- 1 (/ 1 x))) (log1p (/ 1 x))) into (/ (log (- 1 (/ 1 x))) (log1p (/ 1 x))) 0.432 * [approximate]: Taking taylor expansion of (/ (log (- 1 (/ 1 x))) (log1p (/ 1 x))) in (x) around 0 0.432 * [taylor]: Taking taylor expansion of (/ (log (- 1 (/ 1 x))) (log1p (/ 1 x))) in x 0.432 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 x))) in x 0.432 * [taylor]: Taking taylor expansion of (- 1 (/ 1 x)) in x 0.432 * [taylor]: Taking taylor expansion of 1 in x 0.432 * [backup-simplify]: Simplify 1 into 1 0.432 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.432 * [taylor]: Taking taylor expansion of x in x 0.432 * [backup-simplify]: Simplify 0 into 0 0.432 * [backup-simplify]: Simplify 1 into 1 0.432 * [backup-simplify]: Simplify (/ 1 1) into 1 0.433 * [backup-simplify]: Simplify (- 1) into -1 0.433 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.434 * [backup-simplify]: Simplify (log -1) into (log -1) 0.434 * [taylor]: Taking taylor expansion of (log1p (/ 1 x)) in x 0.434 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 x))) 0.434 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 x)) in x 0.434 * [taylor]: Taking taylor expansion of 1 in x 0.434 * [backup-simplify]: Simplify 1 into 1 0.434 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.434 * [taylor]: Taking taylor expansion of x in x 0.434 * [backup-simplify]: Simplify 0 into 0 0.434 * [backup-simplify]: Simplify 1 into 1 0.435 * [backup-simplify]: Simplify (/ 1 1) into 1 0.435 * [backup-simplify]: Simplify (+ 0 1) into 1 0.436 * [backup-simplify]: Simplify (log 1) into 0 0.436 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 0.437 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 0.438 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 0.438 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 0.439 * [backup-simplify]: Simplify (/ (- (log -1) (log x)) (- (log x))) into (* -1 (/ (- (log -1) (log x)) (log x))) 0.439 * [taylor]: Taking taylor expansion of (/ (log (- 1 (/ 1 x))) (log1p (/ 1 x))) in x 0.439 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 x))) in x 0.439 * [taylor]: Taking taylor expansion of (- 1 (/ 1 x)) in x 0.439 * [taylor]: Taking taylor expansion of 1 in x 0.439 * [backup-simplify]: Simplify 1 into 1 0.439 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.439 * [taylor]: Taking taylor expansion of x in x 0.439 * [backup-simplify]: Simplify 0 into 0 0.439 * [backup-simplify]: Simplify 1 into 1 0.439 * [backup-simplify]: Simplify (/ 1 1) into 1 0.439 * [backup-simplify]: Simplify (- 1) into -1 0.440 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.440 * [backup-simplify]: Simplify (log -1) into (log -1) 0.440 * [taylor]: Taking taylor expansion of (log1p (/ 1 x)) in x 0.440 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 x))) 0.440 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 x)) in x 0.440 * [taylor]: Taking taylor expansion of 1 in x 0.441 * [backup-simplify]: Simplify 1 into 1 0.441 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.441 * [taylor]: Taking taylor expansion of x in x 0.441 * [backup-simplify]: Simplify 0 into 0 0.441 * [backup-simplify]: Simplify 1 into 1 0.441 * [backup-simplify]: Simplify (/ 1 1) into 1 0.441 * [backup-simplify]: Simplify (+ 0 1) into 1 0.442 * [backup-simplify]: Simplify (log 1) into 0 0.443 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 0.443 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 0.444 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 0.444 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 0.445 * [backup-simplify]: Simplify (/ (- (log -1) (log x)) (- (log x))) into (* -1 (/ (- (log -1) (log x)) (log x))) 0.445 * [backup-simplify]: Simplify (* -1 (/ (- (log -1) (log x)) (log x))) into (* -1 (/ (- (log -1) (log x)) (log x))) 0.446 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.446 * [backup-simplify]: Simplify (- 0) into 0 0.447 * [backup-simplify]: Simplify (+ 1 0) into 1 0.448 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 0.449 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 0.449 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.450 * [backup-simplify]: Simplify (+ 1 0) into 1 0.451 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.451 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 0.452 * [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))) 0.453 * [backup-simplify]: Simplify (- (* 2 (/ 1 (log x))) (/ (log -1) (pow (log x) 2))) into (- (* 2 (/ 1 (log x))) (/ (log -1) (pow (log x) 2))) 0.453 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.454 * [backup-simplify]: Simplify (- 0) into 0 0.454 * [backup-simplify]: Simplify (+ 0 0) into 0 0.457 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 0.457 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 0.459 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.459 * [backup-simplify]: Simplify (+ 0 0) into 0 0.462 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.463 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 0.463 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 0.465 * [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))) 0.466 * [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))) 0.469 * [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))))) 0.469 * [backup-simplify]: Simplify (/ (log (- 1 (/ 1 (- x)))) (log1p (/ 1 (- x)))) into (/ (log (+ (/ 1 x) 1)) (log1p (/ -1 x))) 0.469 * [approximate]: Taking taylor expansion of (/ (log (+ (/ 1 x) 1)) (log1p (/ -1 x))) in (x) around 0 0.469 * [taylor]: Taking taylor expansion of (/ (log (+ (/ 1 x) 1)) (log1p (/ -1 x))) in x 0.469 * [taylor]: Taking taylor expansion of (log (+ (/ 1 x) 1)) in x 0.469 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 0.469 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.469 * [taylor]: Taking taylor expansion of x in x 0.469 * [backup-simplify]: Simplify 0 into 0 0.469 * [backup-simplify]: Simplify 1 into 1 0.469 * [backup-simplify]: Simplify (/ 1 1) into 1 0.469 * [taylor]: Taking taylor expansion of 1 in x 0.469 * [backup-simplify]: Simplify 1 into 1 0.470 * [backup-simplify]: Simplify (+ 1 0) into 1 0.470 * [backup-simplify]: Simplify (log 1) into 0 0.470 * [taylor]: Taking taylor expansion of (log1p (/ -1 x)) in x 0.470 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 x))) 0.470 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 x)) in x 0.470 * [taylor]: Taking taylor expansion of 1 in x 0.470 * [backup-simplify]: Simplify 1 into 1 0.470 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.470 * [taylor]: Taking taylor expansion of -1 in x 0.470 * [backup-simplify]: Simplify -1 into -1 0.470 * [taylor]: Taking taylor expansion of x in x 0.470 * [backup-simplify]: Simplify 0 into 0 0.470 * [backup-simplify]: Simplify 1 into 1 0.470 * [backup-simplify]: Simplify (/ -1 1) into -1 0.471 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.471 * [backup-simplify]: Simplify (log -1) into (log -1) 0.471 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 0.472 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 0.472 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 0.472 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 0.473 * [backup-simplify]: Simplify (/ (- (log x)) (- (log -1) (log x))) into (* -1 (/ (log x) (- (log -1) (log x)))) 0.473 * [taylor]: Taking taylor expansion of (/ (log (+ (/ 1 x) 1)) (log1p (/ -1 x))) in x 0.473 * [taylor]: Taking taylor expansion of (log (+ (/ 1 x) 1)) in x 0.473 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 0.473 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.473 * [taylor]: Taking taylor expansion of x in x 0.473 * [backup-simplify]: Simplify 0 into 0 0.473 * [backup-simplify]: Simplify 1 into 1 0.473 * [backup-simplify]: Simplify (/ 1 1) into 1 0.473 * [taylor]: Taking taylor expansion of 1 in x 0.473 * [backup-simplify]: Simplify 1 into 1 0.473 * [backup-simplify]: Simplify (+ 1 0) into 1 0.474 * [backup-simplify]: Simplify (log 1) into 0 0.474 * [taylor]: Taking taylor expansion of (log1p (/ -1 x)) in x 0.474 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 x))) 0.474 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 x)) in x 0.474 * [taylor]: Taking taylor expansion of 1 in x 0.474 * [backup-simplify]: Simplify 1 into 1 0.474 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.474 * [taylor]: Taking taylor expansion of -1 in x 0.474 * [backup-simplify]: Simplify -1 into -1 0.474 * [taylor]: Taking taylor expansion of x in x 0.474 * [backup-simplify]: Simplify 0 into 0 0.474 * [backup-simplify]: Simplify 1 into 1 0.474 * [backup-simplify]: Simplify (/ -1 1) into -1 0.474 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.475 * [backup-simplify]: Simplify (log -1) into (log -1) 0.475 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 0.475 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 0.476 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 0.476 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 0.477 * [backup-simplify]: Simplify (/ (- (log x)) (- (log -1) (log x))) into (* -1 (/ (log x) (- (log -1) (log x)))) 0.477 * [backup-simplify]: Simplify (* -1 (/ (log x) (- (log -1) (log x)))) into (* -1 (/ (log x) (- (log -1) (log x)))) 0.477 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.478 * [backup-simplify]: Simplify (+ 0 1) into 1 0.478 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.479 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 0.479 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.480 * [backup-simplify]: Simplify (+ 1 0) into 1 0.480 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 0.481 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 0.482 * [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))) 0.483 * [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))) 0.483 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.483 * [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 0.488 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 0.489 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.489 * [backup-simplify]: Simplify (+ 0 0) into 0 0.490 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 0.491 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 0.491 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 0.493 * [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)))))) 0.495 * [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)))))) 0.497 * [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))))))))))) 0.497 * * * [progress]: simplifying candidates 0.498 * * * * [progress]: [ 1 / 64 ] simplifiying candidate # 0.498 * * * * [progress]: [ 2 / 64 ] simplifiying candidate # 0.498 * * * * [progress]: [ 3 / 64 ] simplifiying candidate # 0.498 * * * * [progress]: [ 4 / 64 ] simplifiying candidate # 0.498 * * * * [progress]: [ 5 / 64 ] simplifiying candidate # 0.498 * * * * [progress]: [ 6 / 64 ] simplifiying candidate # 0.498 * * * * [progress]: [ 7 / 64 ] simplifiying candidate # 0.498 * * * * [progress]: [ 8 / 64 ] simplifiying candidate # 0.498 * * * * [progress]: [ 9 / 64 ] simplifiying candidate # 0.498 * * * * [progress]: [ 10 / 64 ] simplifiying candidate # 0.498 * * * * [progress]: [ 11 / 64 ] simplifiying candidate # 0.498 * * * * [progress]: [ 12 / 64 ] simplifiying candidate # 0.498 * * * * [progress]: [ 13 / 64 ] simplifiying candidate # 0.498 * * * * [progress]: [ 14 / 64 ] simplifiying candidate # 0.498 * * * * [progress]: [ 15 / 64 ] simplifiying candidate # 0.498 * * * * [progress]: [ 16 / 64 ] simplifiying candidate # 0.498 * * * * [progress]: [ 17 / 64 ] simplifiying candidate # 0.498 * * * * [progress]: [ 18 / 64 ] simplifiying candidate # 0.498 * * * * [progress]: [ 19 / 64 ] simplifiying candidate # 0.498 * * * * [progress]: [ 20 / 64 ] simplifiying candidate # 0.498 * * * * [progress]: [ 21 / 64 ] simplifiying candidate # 0.498 * * * * [progress]: [ 22 / 64 ] simplifiying candidate #real (real->posit16 (log (- 1 x)))) (log1p x)))> 0.498 * * * * [progress]: [ 23 / 64 ] simplifiying candidate # 0.498 * * * * [progress]: [ 24 / 64 ] simplifiying candidate # 0.498 * * * * [progress]: [ 25 / 64 ] simplifiying candidate # 0.499 * * * * [progress]: [ 26 / 64 ] simplifiying candidate # 0.499 * * * * [progress]: [ 27 / 64 ] simplifiying candidate # 0.499 * * * * [progress]: [ 28 / 64 ] simplifiying candidate # 0.499 * * * * [progress]: [ 29 / 64 ] simplifiying candidate # 0.499 * * * * [progress]: [ 30 / 64 ] simplifiying candidate # 0.499 * * * * [progress]: [ 31 / 64 ] simplifiying candidate # 0.499 * * * * [progress]: [ 32 / 64 ] simplifiying candidate # 0.499 * * * * [progress]: [ 33 / 64 ] simplifiying candidate # 0.499 * * * * [progress]: [ 34 / 64 ] simplifiying candidate # 0.499 * * * * [progress]: [ 35 / 64 ] simplifiying candidate # 0.499 * * * * [progress]: [ 36 / 64 ] simplifiying candidate # 0.499 * * * * [progress]: [ 37 / 64 ] simplifiying candidate # 0.499 * * * * [progress]: [ 38 / 64 ] simplifiying candidate # 0.499 * * * * [progress]: [ 39 / 64 ] simplifiying candidate # 0.499 * * * * [progress]: [ 40 / 64 ] simplifiying candidate # 0.499 * * * * [progress]: [ 41 / 64 ] simplifiying candidate # 0.499 * * * * [progress]: [ 42 / 64 ] simplifiying candidate # 0.499 * * * * [progress]: [ 43 / 64 ] simplifiying candidate # 0.499 * * * * [progress]: [ 44 / 64 ] simplifiying candidate # 0.499 * * * * [progress]: [ 45 / 64 ] simplifiying candidate # 0.499 * * * * [progress]: [ 46 / 64 ] simplifiying candidate # 0.499 * * * * [progress]: [ 47 / 64 ] simplifiying candidate # 0.499 * * * * [progress]: [ 48 / 64 ] simplifiying candidate # 0.499 * * * * [progress]: [ 49 / 64 ] simplifiying candidate # 0.499 * * * * [progress]: [ 50 / 64 ] simplifiying candidate # 0.499 * * * * [progress]: [ 51 / 64 ] simplifiying candidate # 0.500 * * * * [progress]: [ 52 / 64 ] simplifiying candidate # 0.500 * * * * [progress]: [ 53 / 64 ] simplifiying candidate # 0.500 * * * * [progress]: [ 54 / 64 ] simplifiying candidate # 0.500 * * * * [progress]: [ 55 / 64 ] simplifiying candidate # 0.500 * * * * [progress]: [ 56 / 64 ] simplifiying candidate # 0.500 * * * * [progress]: [ 57 / 64 ] simplifiying candidate # 0.500 * * * * [progress]: [ 58 / 64 ] simplifiying candidate #real (real->posit16 (/ (log (- 1 x)) (log1p x)))))> 0.500 * * * * [progress]: [ 59 / 64 ] simplifiying candidate # 0.500 * * * * [progress]: [ 60 / 64 ] simplifiying candidate # 0.500 * * * * [progress]: [ 61 / 64 ] simplifiying candidate # 0.500 * * * * [progress]: [ 62 / 64 ] simplifiying candidate # 0.500 * * * * [progress]: [ 63 / 64 ] simplifiying candidate # 0.500 * * * * [progress]: [ 64 / 64 ] simplifiying candidate # 0.501 * [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))))))))))) 0.503 * * [simplify]: iteration 1: (163 enodes) 0.573 * * [simplify]: iteration 2: (369 enodes) 0.710 * * [simplify]: iteration 3: (1051 enodes) 1.825 * * [simplify]: Extracting #0: cost 62 inf + 0 1.826 * * [simplify]: Extracting #1: cost 336 inf + 2 1.832 * * [simplify]: Extracting #2: cost 750 inf + 2564 1.843 * * [simplify]: Extracting #3: cost 835 inf + 24816 1.899 * * [simplify]: Extracting #4: cost 382 inf + 180779 2.020 * * [simplify]: Extracting #5: cost 46 inf + 364833 2.161 * * [simplify]: Extracting #6: cost 1 inf + 385984 2.278 * * [simplify]: Extracting #7: cost 0 inf + 383323 2.386 * * [simplify]: Extracting #8: cost 0 inf + 383168 2.522 * [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)) (/ (log1p x) (log1p x)) (/ (/ 1 (cbrt (log1p x))) (cbrt (log1p x))) (/ (log (- 1 x)) (cbrt (log1p x))) (/ 1 (sqrt (log1p x))) (/ (log (- 1 x)) (sqrt (log1p x))) 1 (/ (log (- 1 x)) (log1p x)) (* (/ (cbrt (log (- 1 x))) (cbrt (log1p x))) (/ (cbrt (log (- 1 x))) (cbrt (log1p x)))) (/ (cbrt (log (- 1 x))) (cbrt (log1p x))) (* (/ (cbrt (log (- 1 x))) (sqrt (log1p x))) (cbrt (log (- 1 x)))) (/ (cbrt (log (- 1 x))) (sqrt (log1p x))) (* (cbrt (log (- 1 x))) (cbrt (log (- 1 x)))) (/ (cbrt (log (- 1 x))) (log1p x)) (/ (sqrt (log (- 1 x))) (* (cbrt (log1p x)) (cbrt (log1p x)))) (/ (sqrt (log (- 1 x))) (cbrt (log1p x))) (/ (sqrt (log (- 1 x))) (sqrt (log1p x))) (/ (sqrt (log (- 1 x))) (sqrt (log1p x))) (sqrt (log (- 1 x))) (/ (sqrt (log (- 1 x))) (log1p x)) (/ (/ 1 (cbrt (log1p x))) (cbrt (log1p x))) (/ (log (- 1 x)) (cbrt (log1p x))) (/ 1 (sqrt (log1p x))) (/ (log (- 1 x)) (sqrt (log1p x))) 1 (/ (log (- 1 x)) (log1p x)) (/ 1 (log1p x)) (/ (log1p x) (log (- 1 x))) (/ (log (- 1 x)) (* (cbrt (log1p x)) (cbrt (log1p x)))) (/ (log (- 1 x)) (sqrt (log1p x))) (log (- 1 x)) (/ (log1p x) (log (- 1 x))) (/ (log1p x) (cbrt (log (- 1 x)))) (/ (log1p x) (sqrt (log (- 1 x)))) (/ (log1p x) (log (- 1 x))) (real->posit16 (/ (log (- 1 x)) (log1p x))) (- (+ (* -1/3 (* (* x x) x)) (* -1/2 (* x x))) x) (+ (log -1) (- (log x) (fma 1/2 (/ (/ 1 x) x) (/ 1 x)))) (+ (/ -1 x) (+ (/ -1/2 (* x x)) (- (log (/ -1 x))))) (- (+ (* -1/2 (* x x)) -1) x) (+ (/ 2 (* (- x) (log x))) (+ (fma 1/2 (/ (log -1) (* (* x (log x)) (* x (log x)))) 1) (- (- (/ 2 (* (* x (log x)) (* x (log x)))) (+ (/ (log -1) (- (log x))) (/ (log -1) (* (* (* x (log x)) (* x (log x))) (- (log x)))))) (/ (/ (log -1) x) (* (log x) (log x)))))) (- (- (+ (- (/ (/ (/ 1 x) x) (* (- (log -1) (log (/ -1 x))) (- (log -1) (log (/ -1 x))))) (/ (log (/ -1 x)) (- (log -1) (log (/ -1 x))))) (/ (/ (log (/ -1 x)) x) (* (- (log -1) (log (/ -1 x))) (- (log -1) (log (/ -1 x)))))) (/ (/ 1 x) (+ 0 (log x)))) (fma (+ (/ (log (/ -1 x)) (* (* (- (log -1) (log (/ -1 x))) x) (* (- (log -1) (log (/ -1 x))) x))) (/ (/ (/ 1 x) x) (+ 0 (log x)))) 1/2 (/ (/ (log (/ -1 x)) (- (log -1) (log (/ -1 x)))) (* (* (- (log -1) (log (/ -1 x))) x) (* (- (log -1) (log (/ -1 x))) x))))) 2.525 * * * [progress]: adding candidates to table 2.738 * * [progress]: iteration 2 / 4 2.738 * * * [progress]: picking best candidate 2.745 * * * * [pick]: Picked # 2.745 * * * [progress]: localizing error 2.756 * * * [progress]: generating rewritten candidates 2.756 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 2.761 * * * [progress]: generating series expansions 2.761 * * * * [progress]: [ 1 / 1 ] generating series at (2) 2.761 * [backup-simplify]: Simplify (/ (log1p (- x)) (log1p x)) into (/ (log1p (- x)) (log1p x)) 2.761 * [approximate]: Taking taylor expansion of (/ (log1p (- x)) (log1p x)) in (x) around 0 2.761 * [taylor]: Taking taylor expansion of (/ (log1p (- x)) (log1p x)) in x 2.761 * [taylor]: Taking taylor expansion of (log1p (- x)) in x 2.761 * [taylor]: Rewrote expression to (log (+ 1 (- x))) 2.761 * [taylor]: Taking taylor expansion of (+ 1 (- x)) in x 2.761 * [taylor]: Taking taylor expansion of 1 in x 2.761 * [backup-simplify]: Simplify 1 into 1 2.761 * [taylor]: Taking taylor expansion of (- x) in x 2.761 * [taylor]: Taking taylor expansion of x in x 2.761 * [backup-simplify]: Simplify 0 into 0 2.761 * [backup-simplify]: Simplify 1 into 1 2.762 * [backup-simplify]: Simplify (- 0) into 0 2.762 * [backup-simplify]: Simplify (+ 1 0) into 1 2.763 * [backup-simplify]: Simplify (log 1) into 0 2.763 * [taylor]: Taking taylor expansion of (log1p x) in x 2.763 * [taylor]: Rewrote expression to (log (+ 1 x)) 2.763 * [taylor]: Taking taylor expansion of (+ 1 x) in x 2.763 * [taylor]: Taking taylor expansion of 1 in x 2.763 * [backup-simplify]: Simplify 1 into 1 2.763 * [taylor]: Taking taylor expansion of x in x 2.763 * [backup-simplify]: Simplify 0 into 0 2.763 * [backup-simplify]: Simplify 1 into 1 2.763 * [backup-simplify]: Simplify (+ 1 0) into 1 2.763 * [backup-simplify]: Simplify (log 1) into 0 2.764 * [backup-simplify]: Simplify (- 1) into -1 2.764 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.765 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 2.765 * [backup-simplify]: Simplify (+ 0 1) into 1 2.766 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 2.766 * [backup-simplify]: Simplify (/ -1 1) into -1 2.766 * [taylor]: Taking taylor expansion of (/ (log1p (- x)) (log1p x)) in x 2.766 * [taylor]: Taking taylor expansion of (log1p (- x)) in x 2.766 * [taylor]: Rewrote expression to (log (+ 1 (- x))) 2.766 * [taylor]: Taking taylor expansion of (+ 1 (- x)) in x 2.766 * [taylor]: Taking taylor expansion of 1 in x 2.766 * [backup-simplify]: Simplify 1 into 1 2.766 * [taylor]: Taking taylor expansion of (- x) in x 2.766 * [taylor]: Taking taylor expansion of x in x 2.766 * [backup-simplify]: Simplify 0 into 0 2.766 * [backup-simplify]: Simplify 1 into 1 2.766 * [backup-simplify]: Simplify (- 0) into 0 2.767 * [backup-simplify]: Simplify (+ 1 0) into 1 2.767 * [backup-simplify]: Simplify (log 1) into 0 2.767 * [taylor]: Taking taylor expansion of (log1p x) in x 2.767 * [taylor]: Rewrote expression to (log (+ 1 x)) 2.767 * [taylor]: Taking taylor expansion of (+ 1 x) in x 2.767 * [taylor]: Taking taylor expansion of 1 in x 2.767 * [backup-simplify]: Simplify 1 into 1 2.767 * [taylor]: Taking taylor expansion of x in x 2.767 * [backup-simplify]: Simplify 0 into 0 2.767 * [backup-simplify]: Simplify 1 into 1 2.767 * [backup-simplify]: Simplify (+ 1 0) into 1 2.768 * [backup-simplify]: Simplify (log 1) into 0 2.768 * [backup-simplify]: Simplify (- 1) into -1 2.768 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.769 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 2.769 * [backup-simplify]: Simplify (+ 0 1) into 1 2.770 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 2.770 * [backup-simplify]: Simplify (/ -1 1) into -1 2.770 * [backup-simplify]: Simplify -1 into -1 2.771 * [backup-simplify]: Simplify (- 0) into 0 2.771 * [backup-simplify]: Simplify (+ 0 0) into 0 2.772 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 2.773 * [backup-simplify]: Simplify (+ 0 0) into 0 2.774 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 2.775 * [backup-simplify]: Simplify (- (/ -1/2 1) (+ (* -1 (/ -1/2 1)))) into -1 2.775 * [backup-simplify]: Simplify -1 into -1 2.775 * [backup-simplify]: Simplify (- 0) into 0 2.775 * [backup-simplify]: Simplify (+ 0 0) into 0 2.778 * [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 2.779 * [backup-simplify]: Simplify (+ 0 0) into 0 2.782 * [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 2.783 * [backup-simplify]: Simplify (- (/ -1/3 1) (+ (* -1 (/ 1/3 1)) (* -1 (/ -1/2 1)))) into -1/2 2.783 * [backup-simplify]: Simplify -1/2 into -1/2 2.783 * [backup-simplify]: Simplify (+ (* -1/2 (pow x 2)) (+ (* -1 x) -1)) into (- (+ x (+ (* 1/2 (pow x 2)) 1))) 2.783 * [backup-simplify]: Simplify (/ (log1p (- (/ 1 x))) (log1p (/ 1 x))) into (/ (log1p (- (/ 1 x))) (log1p (/ 1 x))) 2.783 * [approximate]: Taking taylor expansion of (/ (log1p (- (/ 1 x))) (log1p (/ 1 x))) in (x) around 0 2.783 * [taylor]: Taking taylor expansion of (/ (log1p (- (/ 1 x))) (log1p (/ 1 x))) in x 2.783 * [taylor]: Taking taylor expansion of (log1p (- (/ 1 x))) in x 2.783 * [taylor]: Rewrote expression to (log (+ 1 (- (/ 1 x)))) 2.783 * [taylor]: Taking taylor expansion of (+ 1 (- (/ 1 x))) in x 2.783 * [taylor]: Taking taylor expansion of 1 in x 2.783 * [backup-simplify]: Simplify 1 into 1 2.783 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 2.783 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.783 * [taylor]: Taking taylor expansion of x in x 2.783 * [backup-simplify]: Simplify 0 into 0 2.783 * [backup-simplify]: Simplify 1 into 1 2.783 * [backup-simplify]: Simplify (/ 1 1) into 1 2.784 * [backup-simplify]: Simplify (- 1) into -1 2.784 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.784 * [backup-simplify]: Simplify (log -1) into (log -1) 2.784 * [taylor]: Taking taylor expansion of (log1p (/ 1 x)) in x 2.784 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 x))) 2.784 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 x)) in x 2.784 * [taylor]: Taking taylor expansion of 1 in x 2.784 * [backup-simplify]: Simplify 1 into 1 2.784 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.785 * [taylor]: Taking taylor expansion of x in x 2.785 * [backup-simplify]: Simplify 0 into 0 2.785 * [backup-simplify]: Simplify 1 into 1 2.785 * [backup-simplify]: Simplify (/ 1 1) into 1 2.785 * [backup-simplify]: Simplify (+ 0 1) into 1 2.785 * [backup-simplify]: Simplify (log 1) into 0 2.786 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 2.786 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 2.787 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 2.787 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 2.787 * [backup-simplify]: Simplify (/ (- (log -1) (log x)) (- (log x))) into (* -1 (/ (- (log -1) (log x)) (log x))) 2.787 * [taylor]: Taking taylor expansion of (/ (log1p (- (/ 1 x))) (log1p (/ 1 x))) in x 2.787 * [taylor]: Taking taylor expansion of (log1p (- (/ 1 x))) in x 2.787 * [taylor]: Rewrote expression to (log (+ 1 (- (/ 1 x)))) 2.787 * [taylor]: Taking taylor expansion of (+ 1 (- (/ 1 x))) in x 2.787 * [taylor]: Taking taylor expansion of 1 in x 2.787 * [backup-simplify]: Simplify 1 into 1 2.787 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 2.787 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.787 * [taylor]: Taking taylor expansion of x in x 2.787 * [backup-simplify]: Simplify 0 into 0 2.788 * [backup-simplify]: Simplify 1 into 1 2.788 * [backup-simplify]: Simplify (/ 1 1) into 1 2.788 * [backup-simplify]: Simplify (- 1) into -1 2.788 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.789 * [backup-simplify]: Simplify (log -1) into (log -1) 2.789 * [taylor]: Taking taylor expansion of (log1p (/ 1 x)) in x 2.789 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 x))) 2.789 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 x)) in x 2.789 * [taylor]: Taking taylor expansion of 1 in x 2.789 * [backup-simplify]: Simplify 1 into 1 2.789 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.789 * [taylor]: Taking taylor expansion of x in x 2.789 * [backup-simplify]: Simplify 0 into 0 2.789 * [backup-simplify]: Simplify 1 into 1 2.789 * [backup-simplify]: Simplify (/ 1 1) into 1 2.789 * [backup-simplify]: Simplify (+ 0 1) into 1 2.790 * [backup-simplify]: Simplify (log 1) into 0 2.790 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 2.790 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 2.791 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 2.791 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 2.792 * [backup-simplify]: Simplify (/ (- (log -1) (log x)) (- (log x))) into (* -1 (/ (- (log -1) (log x)) (log x))) 2.792 * [backup-simplify]: Simplify (* -1 (/ (- (log -1) (log x)) (log x))) into (* -1 (/ (- (log -1) (log x)) (log x))) 2.796 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.796 * [backup-simplify]: Simplify (- 0) into 0 2.797 * [backup-simplify]: Simplify (+ 1 0) into 1 2.798 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 2.798 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 2.799 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.799 * [backup-simplify]: Simplify (+ 1 0) into 1 2.800 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 2.800 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 2.800 * [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))) 2.801 * [backup-simplify]: Simplify (- (* 2 (/ 1 (log x))) (/ (log -1) (pow (log x) 2))) into (- (* 2 (/ 1 (log x))) (/ (log -1) (pow (log x) 2))) 2.801 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.802 * [backup-simplify]: Simplify (- 0) into 0 2.802 * [backup-simplify]: Simplify (+ 0 0) into 0 2.803 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 2.804 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 2.804 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.805 * [backup-simplify]: Simplify (+ 0 0) into 0 2.806 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 2.807 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 2.807 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 2.808 * [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))) 2.809 * [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))) 2.810 * [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))))) 2.811 * [backup-simplify]: Simplify (/ (log1p (- (/ 1 (- x)))) (log1p (/ 1 (- x)))) into (/ (log1p (/ 1 x)) (log1p (/ -1 x))) 2.811 * [approximate]: Taking taylor expansion of (/ (log1p (/ 1 x)) (log1p (/ -1 x))) in (x) around 0 2.811 * [taylor]: Taking taylor expansion of (/ (log1p (/ 1 x)) (log1p (/ -1 x))) in x 2.811 * [taylor]: Taking taylor expansion of (log1p (/ 1 x)) in x 2.811 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 x))) 2.811 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 x)) in x 2.811 * [taylor]: Taking taylor expansion of 1 in x 2.811 * [backup-simplify]: Simplify 1 into 1 2.811 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.811 * [taylor]: Taking taylor expansion of x in x 2.811 * [backup-simplify]: Simplify 0 into 0 2.811 * [backup-simplify]: Simplify 1 into 1 2.811 * [backup-simplify]: Simplify (/ 1 1) into 1 2.811 * [backup-simplify]: Simplify (+ 0 1) into 1 2.812 * [backup-simplify]: Simplify (log 1) into 0 2.812 * [taylor]: Taking taylor expansion of (log1p (/ -1 x)) in x 2.812 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 x))) 2.812 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 x)) in x 2.812 * [taylor]: Taking taylor expansion of 1 in x 2.812 * [backup-simplify]: Simplify 1 into 1 2.812 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.812 * [taylor]: Taking taylor expansion of -1 in x 2.812 * [backup-simplify]: Simplify -1 into -1 2.812 * [taylor]: Taking taylor expansion of x in x 2.812 * [backup-simplify]: Simplify 0 into 0 2.812 * [backup-simplify]: Simplify 1 into 1 2.812 * [backup-simplify]: Simplify (/ -1 1) into -1 2.812 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.813 * [backup-simplify]: Simplify (log -1) into (log -1) 2.813 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 2.813 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 2.814 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 2.814 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 2.814 * [backup-simplify]: Simplify (/ (- (log x)) (- (log -1) (log x))) into (* -1 (/ (log x) (- (log -1) (log x)))) 2.814 * [taylor]: Taking taylor expansion of (/ (log1p (/ 1 x)) (log1p (/ -1 x))) in x 2.814 * [taylor]: Taking taylor expansion of (log1p (/ 1 x)) in x 2.814 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 x))) 2.815 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 x)) in x 2.815 * [taylor]: Taking taylor expansion of 1 in x 2.815 * [backup-simplify]: Simplify 1 into 1 2.815 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.815 * [taylor]: Taking taylor expansion of x in x 2.815 * [backup-simplify]: Simplify 0 into 0 2.815 * [backup-simplify]: Simplify 1 into 1 2.815 * [backup-simplify]: Simplify (/ 1 1) into 1 2.815 * [backup-simplify]: Simplify (+ 0 1) into 1 2.815 * [backup-simplify]: Simplify (log 1) into 0 2.815 * [taylor]: Taking taylor expansion of (log1p (/ -1 x)) in x 2.815 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 x))) 2.815 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 x)) in x 2.815 * [taylor]: Taking taylor expansion of 1 in x 2.815 * [backup-simplify]: Simplify 1 into 1 2.816 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.816 * [taylor]: Taking taylor expansion of -1 in x 2.816 * [backup-simplify]: Simplify -1 into -1 2.816 * [taylor]: Taking taylor expansion of x in x 2.816 * [backup-simplify]: Simplify 0 into 0 2.816 * [backup-simplify]: Simplify 1 into 1 2.816 * [backup-simplify]: Simplify (/ -1 1) into -1 2.816 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.816 * [backup-simplify]: Simplify (log -1) into (log -1) 2.817 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 2.818 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 2.818 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 2.819 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 2.819 * [backup-simplify]: Simplify (/ (- (log x)) (- (log -1) (log x))) into (* -1 (/ (log x) (- (log -1) (log x)))) 2.820 * [backup-simplify]: Simplify (* -1 (/ (log x) (- (log -1) (log x)))) into (* -1 (/ (log x) (- (log -1) (log x)))) 2.821 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.821 * [backup-simplify]: Simplify (+ 1 0) into 1 2.822 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 2.822 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 2.823 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.823 * [backup-simplify]: Simplify (+ 1 0) into 1 2.824 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 2.824 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 2.825 * [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))) 2.826 * [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))) 2.826 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.827 * [backup-simplify]: Simplify (+ 0 0) into 0 2.828 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 2.829 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 2.829 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.830 * [backup-simplify]: Simplify (+ 0 0) into 0 2.831 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 2.832 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 2.832 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 2.834 * [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)))))) 2.835 * [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)))))) 2.838 * [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))))))))))) 2.838 * * * [progress]: simplifying candidates 2.838 * * * * [progress]: [ 1 / 33 ] simplifiying candidate # 2.838 * * * * [progress]: [ 2 / 33 ] simplifiying candidate # 2.838 * * * * [progress]: [ 3 / 33 ] simplifiying candidate # 2.838 * * * * [progress]: [ 4 / 33 ] simplifiying candidate # 2.838 * * * * [progress]: [ 5 / 33 ] simplifiying candidate # 2.838 * * * * [progress]: [ 6 / 33 ] simplifiying candidate # 2.839 * * * * [progress]: [ 7 / 33 ] simplifiying candidate # 2.839 * * * * [progress]: [ 8 / 33 ] simplifiying candidate # 2.839 * * * * [progress]: [ 9 / 33 ] simplifiying candidate # 2.839 * * * * [progress]: [ 10 / 33 ] simplifiying candidate # 2.839 * * * * [progress]: [ 11 / 33 ] simplifiying candidate # 2.839 * * * * [progress]: [ 12 / 33 ] simplifiying candidate # 2.839 * * * * [progress]: [ 13 / 33 ] simplifiying candidate # 2.839 * * * * [progress]: [ 14 / 33 ] simplifiying candidate # 2.839 * * * * [progress]: [ 15 / 33 ] simplifiying candidate # 2.839 * * * * [progress]: [ 16 / 33 ] simplifiying candidate # 2.839 * * * * [progress]: [ 17 / 33 ] simplifiying candidate # 2.839 * * * * [progress]: [ 18 / 33 ] simplifiying candidate # 2.839 * * * * [progress]: [ 19 / 33 ] simplifiying candidate # 2.839 * * * * [progress]: [ 20 / 33 ] simplifiying candidate # 2.839 * * * * [progress]: [ 21 / 33 ] simplifiying candidate # 2.839 * * * * [progress]: [ 22 / 33 ] simplifiying candidate # 2.839 * * * * [progress]: [ 23 / 33 ] simplifiying candidate # 2.839 * * * * [progress]: [ 24 / 33 ] simplifiying candidate # 2.839 * * * * [progress]: [ 25 / 33 ] simplifiying candidate # 2.839 * * * * [progress]: [ 26 / 33 ] simplifiying candidate # 2.839 * * * * [progress]: [ 27 / 33 ] simplifiying candidate # 2.839 * * * * [progress]: [ 28 / 33 ] simplifiying candidate # 2.839 * * * * [progress]: [ 29 / 33 ] simplifiying candidate # 2.839 * * * * [progress]: [ 30 / 33 ] simplifiying candidate #real (real->posit16 (/ (log1p (- x)) (log1p x)))))> 2.839 * * * * [progress]: [ 31 / 33 ] simplifiying candidate # 2.839 * * * * [progress]: [ 32 / 33 ] simplifiying candidate # 2.839 * * * * [progress]: [ 33 / 33 ] simplifiying candidate # 2.840 * [simplify]: Simplifying: (expm1 (/ (log1p (- x)) (log1p x))) (log1p (/ (log1p (- x)) (log1p x))) (- (log (log1p (- x))) (log (log1p x))) (log (/ (log1p (- x)) (log1p x))) (exp (/ (log1p (- x)) (log1p x))) (/ (* (* (log1p (- x)) (log1p (- x))) (log1p (- x))) (* (* (log1p x) (log1p x)) (log1p x))) (* (cbrt (/ (log1p (- x)) (log1p x))) (cbrt (/ (log1p (- x)) (log1p x)))) (cbrt (/ (log1p (- x)) (log1p x))) (* (* (/ (log1p (- x)) (log1p x)) (/ (log1p (- x)) (log1p x))) (/ (log1p (- x)) (log1p x))) (sqrt (/ (log1p (- x)) (log1p x))) (sqrt (/ (log1p (- x)) (log1p x))) (- (log1p (- x))) (- (log1p x)) (/ (* (cbrt (log1p (- x))) (cbrt (log1p (- x)))) (* (cbrt (log1p x)) (cbrt (log1p x)))) (/ (cbrt (log1p (- x))) (cbrt (log1p x))) (/ (* (cbrt (log1p (- x))) (cbrt (log1p (- x)))) (sqrt (log1p x))) (/ (cbrt (log1p (- x))) (sqrt (log1p x))) (/ (* (cbrt (log1p (- x))) (cbrt (log1p (- x)))) 1) (/ (cbrt (log1p (- x))) (log1p x)) (/ (sqrt (log1p (- x))) (* (cbrt (log1p x)) (cbrt (log1p x)))) (/ (sqrt (log1p (- x))) (cbrt (log1p x))) (/ (sqrt (log1p (- x))) (sqrt (log1p x))) (/ (sqrt (log1p (- x))) (sqrt (log1p x))) (/ (sqrt (log1p (- x))) 1) (/ (sqrt (log1p (- x))) (log1p x)) (/ 1 (* (cbrt (log1p x)) (cbrt (log1p x)))) (/ (log1p (- x)) (cbrt (log1p x))) (/ 1 (sqrt (log1p x))) (/ (log1p (- x)) (sqrt (log1p x))) (/ 1 1) (/ (log1p (- x)) (log1p x)) (/ 1 (log1p x)) (/ (log1p x) (log1p (- x))) (/ (log1p (- x)) (* (cbrt (log1p x)) (cbrt (log1p x)))) (/ (log1p (- x)) (sqrt (log1p x))) (/ (log1p (- x)) 1) (/ (log1p x) (cbrt (log1p (- x)))) (/ (log1p x) (sqrt (log1p (- x)))) (/ (log1p x) (log1p (- x))) (real->posit16 (/ (log1p (- x)) (log1p x))) (- (+ x (+ (* 1/2 (pow x 2)) 1))) (- (+ (* 2 (/ 1 (* (pow (log (/ 1 x)) 2) (pow x 2)))) (+ (* 2 (/ 1 (* (log (/ 1 x)) x))) (+ (* 1/2 (/ (log -1) (* (pow (log (/ 1 x)) 2) (pow x 2)))) 1))) (+ (/ (log -1) (* (pow (log (/ 1 x)) 3) (pow x 2))) (+ (/ (log -1) (log (/ 1 x))) (/ (log -1) (* (pow (log (/ 1 x)) 2) x))))) (- (+ (/ (log (/ -1 x)) (* x (pow (- (log -1) (log (/ -1 x))) 2))) (/ 1 (* (pow x 2) (pow (- (log -1) (log (/ -1 x))) 2)))) (+ (/ (log (/ -1 x)) (- (log -1) (log (/ -1 x)))) (+ (/ (log (/ -1 x)) (* (pow x 2) (pow (- (log -1) (log (/ -1 x))) 3))) (+ (/ 1 (* x (- (log -1) (log (/ -1 x))))) (+ (* 1/2 (/ (log (/ -1 x)) (* (pow x 2) (pow (- (log -1) (log (/ -1 x))) 2)))) (* 1/2 (/ 1 (* (pow x 2) (- (log -1) (log (/ -1 x))))))))))) 2.841 * * [simplify]: iteration 1: (112 enodes) 2.869 * * [simplify]: iteration 2: (264 enodes) 2.999 * * [simplify]: iteration 3: (813 enodes) 3.794 * * [simplify]: Extracting #0: cost 37 inf + 0 3.794 * * [simplify]: Extracting #1: cost 277 inf + 1 3.796 * * [simplify]: Extracting #2: cost 639 inf + 886 3.803 * * [simplify]: Extracting #3: cost 672 inf + 35731 3.837 * * [simplify]: Extracting #4: cost 373 inf + 143938 3.917 * * [simplify]: Extracting #5: cost 86 inf + 313415 4.033 * * [simplify]: Extracting #6: cost 2 inf + 361163 4.172 * * [simplify]: Extracting #7: cost 0 inf + 357238 4.277 * * [simplify]: Extracting #8: cost 0 inf + 357183 4.390 * [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 (* 1/2 (* x x))) x) (fma 2 (+ (/ 1 (* (* x (log x)) (* x (log x)))) (/ (/ 1 x) (- (log x)))) (- (- (fma 1/2 (/ (log -1) (* (* x (log x)) (* x (log x)))) 1) (/ (log -1) (- (log x)))) (+ (/ (log -1) (- (* (* (* x (log x)) (* x (log x))) (log x)))) (/ (/ (/ (log -1) (log x)) (log x)) x)))) (- (- (+ (/ (/ (+ (log (/ 1 x)) (log -1)) (- 0 (log (/ 1 x)))) (* (- 0 (log (/ 1 x))) x)) (/ 1 (* (* (- 0 (log (/ 1 x))) x) (* (- 0 (log (/ 1 x))) x)))) (+ (/ (+ (log (/ 1 x)) (log -1)) (- 0 (log (/ 1 x)))) (/ (/ (+ (log (/ 1 x)) (log -1)) (- 0 (log (/ 1 x)))) (* (* (- 0 (log (/ 1 x))) x) (* (- 0 (log (/ 1 x))) x))))) (fma 1/2 (+ (/ (/ (+ (log (/ 1 x)) (log -1)) (* (- 0 (log (/ 1 x))) x)) (* (- 0 (log (/ 1 x))) x)) (/ (/ 1 (* x x)) (+ 0 (log x)))) (/ (/ 1 x) (- 0 (log (/ 1 x)))))) 4.392 * * * [progress]: adding candidates to table 4.518 * * [progress]: iteration 3 / 4 4.518 * * * [progress]: picking best candidate 4.521 * * * * [pick]: Picked # 4.521 * * * [progress]: localizing error 4.542 * * * [progress]: generating rewritten candidates 4.542 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1 2) 4.573 * * * [progress]: generating series expansions 4.573 * * * * [progress]: [ 1 / 1 ] generating series at (2 1 2) 4.573 * [backup-simplify]: Simplify (* 1/2 (* x x)) into (* 1/2 (pow x 2)) 4.573 * [approximate]: Taking taylor expansion of (* 1/2 (pow x 2)) in (x) around 0 4.573 * [taylor]: Taking taylor expansion of (* 1/2 (pow x 2)) in x 4.573 * [taylor]: Taking taylor expansion of 1/2 in x 4.573 * [backup-simplify]: Simplify 1/2 into 1/2 4.573 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.573 * [taylor]: Taking taylor expansion of x in x 4.573 * [backup-simplify]: Simplify 0 into 0 4.573 * [backup-simplify]: Simplify 1 into 1 4.574 * [taylor]: Taking taylor expansion of (* 1/2 (pow x 2)) in x 4.574 * [taylor]: Taking taylor expansion of 1/2 in x 4.574 * [backup-simplify]: Simplify 1/2 into 1/2 4.574 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.574 * [taylor]: Taking taylor expansion of x in x 4.574 * [backup-simplify]: Simplify 0 into 0 4.574 * [backup-simplify]: Simplify 1 into 1 4.575 * [backup-simplify]: Simplify (* 1 1) into 1 4.575 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 4.575 * [backup-simplify]: Simplify 1/2 into 1/2 4.576 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.577 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 4.577 * [backup-simplify]: Simplify 0 into 0 4.578 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.579 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 4.579 * [backup-simplify]: Simplify 0 into 0 4.580 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.581 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.581 * [backup-simplify]: Simplify 0 into 0 4.583 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.584 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.584 * [backup-simplify]: Simplify 0 into 0 4.585 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.587 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.587 * [backup-simplify]: Simplify 0 into 0 4.589 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 4.591 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 4.591 * [backup-simplify]: Simplify 0 into 0 4.591 * [backup-simplify]: Simplify (* 1/2 (pow x 2)) into (* 1/2 (pow x 2)) 4.591 * [backup-simplify]: Simplify (* 1/2 (* (/ 1 x) (/ 1 x))) into (/ 1/2 (pow x 2)) 4.591 * [approximate]: Taking taylor expansion of (/ 1/2 (pow x 2)) in (x) around 0 4.591 * [taylor]: Taking taylor expansion of (/ 1/2 (pow x 2)) in x 4.591 * [taylor]: Taking taylor expansion of 1/2 in x 4.591 * [backup-simplify]: Simplify 1/2 into 1/2 4.591 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.591 * [taylor]: Taking taylor expansion of x in x 4.591 * [backup-simplify]: Simplify 0 into 0 4.591 * [backup-simplify]: Simplify 1 into 1 4.592 * [backup-simplify]: Simplify (* 1 1) into 1 4.592 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.592 * [taylor]: Taking taylor expansion of (/ 1/2 (pow x 2)) in x 4.592 * [taylor]: Taking taylor expansion of 1/2 in x 4.592 * [backup-simplify]: Simplify 1/2 into 1/2 4.592 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.592 * [taylor]: Taking taylor expansion of x in x 4.593 * [backup-simplify]: Simplify 0 into 0 4.593 * [backup-simplify]: Simplify 1 into 1 4.593 * [backup-simplify]: Simplify (* 1 1) into 1 4.593 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.594 * [backup-simplify]: Simplify 1/2 into 1/2 4.594 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.595 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.595 * [backup-simplify]: Simplify 0 into 0 4.596 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.597 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.597 * [backup-simplify]: Simplify 0 into 0 4.598 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.599 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.599 * [backup-simplify]: Simplify 0 into 0 4.600 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.601 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.602 * [backup-simplify]: Simplify 0 into 0 4.603 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.604 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.604 * [backup-simplify]: Simplify 0 into 0 4.606 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 4.607 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.607 * [backup-simplify]: Simplify 0 into 0 4.607 * [backup-simplify]: Simplify (* 1/2 (pow (/ 1 (/ 1 x)) 2)) into (* 1/2 (pow x 2)) 4.607 * [backup-simplify]: Simplify (* 1/2 (* (/ 1 (- x)) (/ 1 (- x)))) into (/ 1/2 (pow x 2)) 4.607 * [approximate]: Taking taylor expansion of (/ 1/2 (pow x 2)) in (x) around 0 4.607 * [taylor]: Taking taylor expansion of (/ 1/2 (pow x 2)) in x 4.607 * [taylor]: Taking taylor expansion of 1/2 in x 4.607 * [backup-simplify]: Simplify 1/2 into 1/2 4.607 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.607 * [taylor]: Taking taylor expansion of x in x 4.607 * [backup-simplify]: Simplify 0 into 0 4.607 * [backup-simplify]: Simplify 1 into 1 4.608 * [backup-simplify]: Simplify (* 1 1) into 1 4.608 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.608 * [taylor]: Taking taylor expansion of (/ 1/2 (pow x 2)) in x 4.608 * [taylor]: Taking taylor expansion of 1/2 in x 4.608 * [backup-simplify]: Simplify 1/2 into 1/2 4.609 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.609 * [taylor]: Taking taylor expansion of x in x 4.609 * [backup-simplify]: Simplify 0 into 0 4.609 * [backup-simplify]: Simplify 1 into 1 4.609 * [backup-simplify]: Simplify (* 1 1) into 1 4.609 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.610 * [backup-simplify]: Simplify 1/2 into 1/2 4.610 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.611 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.611 * [backup-simplify]: Simplify 0 into 0 4.612 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.613 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.613 * [backup-simplify]: Simplify 0 into 0 4.614 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.615 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.615 * [backup-simplify]: Simplify 0 into 0 4.617 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.618 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.618 * [backup-simplify]: Simplify 0 into 0 4.619 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.621 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.621 * [backup-simplify]: Simplify 0 into 0 4.622 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 4.623 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.623 * [backup-simplify]: Simplify 0 into 0 4.623 * [backup-simplify]: Simplify (* 1/2 (pow (/ 1 (/ 1 (- x))) 2)) into (* 1/2 (pow x 2)) 4.624 * * * [progress]: simplifying candidates 4.624 * * * * [progress]: [ 1 / 25 ] simplifiying candidate # 4.624 * * * * [progress]: [ 2 / 25 ] simplifiying candidate # 4.624 * * * * [progress]: [ 3 / 25 ] simplifiying candidate # 4.624 * * * * [progress]: [ 4 / 25 ] simplifiying candidate # 4.624 * * * * [progress]: [ 5 / 25 ] simplifiying candidate # 4.624 * * * * [progress]: [ 6 / 25 ] simplifiying candidate # 4.624 * * * * [progress]: [ 7 / 25 ] simplifiying candidate # 4.624 * * * * [progress]: [ 8 / 25 ] simplifiying candidate # 4.624 * * * * [progress]: [ 9 / 25 ] simplifiying candidate # 4.624 * * * * [progress]: [ 10 / 25 ] simplifiying candidate # 4.624 * * * * [progress]: [ 11 / 25 ] simplifiying candidate # 4.624 * * * * [progress]: [ 12 / 25 ] simplifiying candidate # 4.624 * * * * [progress]: [ 13 / 25 ] simplifiying candidate # 4.624 * * * * [progress]: [ 14 / 25 ] simplifiying candidate # 4.624 * * * * [progress]: [ 15 / 25 ] simplifiying candidate # 4.624 * * * * [progress]: [ 16 / 25 ] simplifiying candidate # 4.624 * * * * [progress]: [ 17 / 25 ] simplifiying candidate # 4.625 * * * * [progress]: [ 18 / 25 ] simplifiying candidate # 4.625 * * * * [progress]: [ 19 / 25 ] simplifiying candidate # 4.625 * * * * [progress]: [ 20 / 25 ] simplifiying candidate # 4.625 * * * * [progress]: [ 21 / 25 ] simplifiying candidate #real (real->posit16 (* 1/2 (* x x))))) x))> 4.625 * * * * [progress]: [ 22 / 25 ] simplifiying candidate # 4.625 * * * * [progress]: [ 23 / 25 ] simplifiying candidate # 4.625 * * * * [progress]: [ 24 / 25 ] simplifiying candidate # 4.625 * * * * [progress]: [ 25 / 25 ] simplifiying candidate # 4.625 * [simplify]: Simplifying: (expm1 (* 1/2 (* x x))) (log1p (* 1/2 (* x x))) (* 1/2 (* x x)) (* 1/2 (* x x)) (+ (log 1/2) (+ (log x) (log x))) (+ (log 1/2) (log (* x x))) (log (* 1/2 (* x x))) (exp (* 1/2 (* x x))) (* (* (* 1/2 1/2) 1/2) (* (* (* x x) x) (* (* x x) x))) (* (* (* 1/2 1/2) 1/2) (* (* (* x x) (* x x)) (* x x))) (* (cbrt (* 1/2 (* x x))) (cbrt (* 1/2 (* x x)))) (cbrt (* 1/2 (* x x))) (* (* (* 1/2 (* x x)) (* 1/2 (* x x))) (* 1/2 (* x x))) (sqrt (* 1/2 (* x x))) (sqrt (* 1/2 (* x x))) (* (sqrt 1/2) x) (* (sqrt 1/2) x) (* 1/2 x) (* (cbrt 1/2) (* x x)) (* (sqrt 1/2) (* x x)) (* 1/2 (* x x)) (real->posit16 (* 1/2 (* x x))) (* 1/2 (pow x 2)) (* 1/2 (pow x 2)) (* 1/2 (pow x 2)) 4.625 * * [simplify]: iteration 1: (37 enodes) 4.635 * * [simplify]: iteration 2: (94 enodes) 4.666 * * [simplify]: iteration 3: (307 enodes) 4.971 * * [simplify]: iteration 4: (1302 enodes) 10.539 * * [simplify]: Extracting #0: cost 14 inf + 0 10.540 * * [simplify]: Extracting #1: cost 156 inf + 0 10.544 * * [simplify]: Extracting #2: cost 417 inf + 2081 10.557 * * [simplify]: Extracting #3: cost 101 inf + 34657 10.576 * * [simplify]: Extracting #4: cost 3 inf + 48400 10.589 * * [simplify]: Extracting #5: cost 0 inf + 49821 10.605 * [simplify]: Simplified to: (expm1 (* 1/2 (* x x))) (log1p (* 1/2 (* x x))) (* 1/2 (* x x)) (* 1/2 (* x x)) (log (* 1/2 (* x x))) (log (* 1/2 (* x x))) (log (* 1/2 (* x x))) (sqrt (exp (* x x))) (* (* (* (* x x) (* x x)) (* x x)) 1/8) (* (* (* (* x x) (* x x)) (* x x)) 1/8) (* (cbrt (* 1/2 (* x x))) (cbrt (* 1/2 (* x x)))) (cbrt (* 1/2 (* x x))) (* (* (* (* x x) (* x x)) (* x x)) 1/8) (sqrt (* 1/2 (* x x))) (sqrt (* 1/2 (* x x))) (* x (sqrt 1/2)) (* x (sqrt 1/2)) (* 1/2 x) (* x (* (cbrt 1/2) x)) (* (* x x) (sqrt 1/2)) (* 1/2 (* x x)) (real->posit16 (* 1/2 (* x x))) (* 1/2 (* x x)) (* 1/2 (* x x)) (* 1/2 (* x x)) 10.606 * * * [progress]: adding candidates to table 10.692 * [progress]: [Phase 3 of 3] Extracting. 10.693 * * [regime]: Finding splitpoints for: (# #) 10.693 * * * [regime-changes]: Trying 1 branch expressions: (x) 10.693 * * * * [regimes]: Trying to branch on x from (# #) 10.724 * * * [regime]: Found split indices: #