0.002 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.265 * * * [progress]: [2/2] Setting up program. 0.268 * [progress]: [Phase 2 of 3] Improving. 0.268 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.268 * [simplify]: Simplifying: (/ (log (- 1 x)) (log (+ 1 x))) 0.268 * * [simplify]: iteration 1: (7 enodes) 0.270 * * [simplify]: iteration 2: (27 enodes) 0.274 * * [simplify]: iteration 3: (33 enodes) 0.278 * * [simplify]: Extracting #0: cost 1 inf + 0 0.278 * * [simplify]: Extracting #1: cost 4 inf + 0 0.278 * * [simplify]: Extracting #2: cost 10 inf + 0 0.279 * * [simplify]: Extracting #3: cost 11 inf + 133 0.279 * * [simplify]: Extracting #4: cost 7 inf + 397 0.279 * * [simplify]: Extracting #5: cost 0 inf + 1199 0.279 * * [simplify]: Extracting #6: cost 0 inf + 1142 0.279 * [simplify]: Simplified to: (/ (log (- 1 x)) (log1p x)) 0.285 * * [progress]: iteration 1 / 4 0.285 * * * [progress]: picking best candidate 0.292 * * * * [pick]: Picked # 0.293 * * * [progress]: localizing error 0.314 * * * [progress]: generating rewritten candidates 0.314 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.324 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.350 * * * [progress]: generating series expansions 0.350 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.350 * [backup-simplify]: Simplify (log (- 1 x)) into (log (- 1 x)) 0.350 * [approximate]: Taking taylor expansion of (log (- 1 x)) in (x) around 0 0.350 * [taylor]: Taking taylor expansion of (log (- 1 x)) in x 0.350 * [taylor]: Taking taylor expansion of (- 1 x) in x 0.350 * [taylor]: Taking taylor expansion of 1 in x 0.350 * [backup-simplify]: Simplify 1 into 1 0.350 * [taylor]: Taking taylor expansion of x in x 0.351 * [backup-simplify]: Simplify 0 into 0 0.351 * [backup-simplify]: Simplify 1 into 1 0.351 * [backup-simplify]: Simplify (- 0) into 0 0.352 * [backup-simplify]: Simplify (+ 1 0) into 1 0.352 * [backup-simplify]: Simplify (log 1) into 0 0.352 * [taylor]: Taking taylor expansion of (log (- 1 x)) in x 0.352 * [taylor]: Taking taylor expansion of (- 1 x) in x 0.352 * [taylor]: Taking taylor expansion of 1 in x 0.352 * [backup-simplify]: Simplify 1 into 1 0.352 * [taylor]: Taking taylor expansion of x in x 0.352 * [backup-simplify]: Simplify 0 into 0 0.352 * [backup-simplify]: Simplify 1 into 1 0.353 * [backup-simplify]: Simplify (- 0) into 0 0.353 * [backup-simplify]: Simplify (+ 1 0) into 1 0.354 * [backup-simplify]: Simplify (log 1) into 0 0.354 * [backup-simplify]: Simplify 0 into 0 0.354 * [backup-simplify]: Simplify (- 1) into -1 0.355 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.356 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 0.356 * [backup-simplify]: Simplify -1 into -1 0.357 * [backup-simplify]: Simplify (- 0) into 0 0.357 * [backup-simplify]: Simplify (+ 0 0) into 0 0.360 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.360 * [backup-simplify]: Simplify -1/2 into -1/2 0.361 * [backup-simplify]: Simplify (- 0) into 0 0.361 * [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 0.367 * [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))))) 0.367 * [backup-simplify]: Simplify (log (- 1 (/ 1 x))) into (log (- 1 (/ 1 x))) 0.367 * [approximate]: Taking taylor expansion of (log (- 1 (/ 1 x))) in (x) around 0 0.367 * [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 0.369 * [backup-simplify]: Simplify (log -1) into (log -1) 0.369 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 x))) in x 0.369 * [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 0.370 * [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)) 0.373 * [backup-simplify]: Simplify (- (log -1) (log x)) into (- (log -1) (log x)) 0.373 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.374 * [backup-simplify]: Simplify (- 0) into 0 0.374 * [backup-simplify]: Simplify (+ 1 0) into 1 0.375 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 0.375 * [backup-simplify]: Simplify -1 into -1 0.376 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.377 * [backup-simplify]: Simplify (- 0) into 0 0.377 * [backup-simplify]: Simplify (+ 0 0) into 0 0.389 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 0.389 * [backup-simplify]: Simplify -1/2 into -1/2 0.390 * [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)))) 0.390 * [backup-simplify]: Simplify (log (- 1 (/ 1 (- x)))) into (log (+ (/ 1 x) 1)) 0.390 * [approximate]: Taking taylor expansion of (log (+ (/ 1 x) 1)) in (x) around 0 0.390 * [taylor]: Taking taylor expansion of (log (+ (/ 1 x) 1)) in x 0.390 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 0.391 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.391 * [taylor]: Taking taylor expansion of x in x 0.391 * [backup-simplify]: Simplify 0 into 0 0.391 * [backup-simplify]: Simplify 1 into 1 0.391 * [backup-simplify]: Simplify (/ 1 1) into 1 0.391 * [taylor]: Taking taylor expansion of 1 in x 0.391 * [backup-simplify]: Simplify 1 into 1 0.392 * [backup-simplify]: Simplify (+ 1 0) into 1 0.392 * [backup-simplify]: Simplify (log 1) into 0 0.392 * [taylor]: Taking taylor expansion of (log (+ (/ 1 x) 1)) in x 0.392 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 0.392 * [taylor]: Taking taylor expansion of (/ 1 x) in x 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 0.393 * [backup-simplify]: Simplify (/ 1 1) into 1 0.393 * [taylor]: Taking taylor expansion of 1 in x 0.393 * [backup-simplify]: Simplify 1 into 1 0.394 * [backup-simplify]: Simplify (+ 1 0) into 1 0.394 * [backup-simplify]: Simplify (log 1) into 0 0.395 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 0.395 * [backup-simplify]: Simplify (- (log x)) into (- (log x)) 0.395 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.396 * [backup-simplify]: Simplify (+ 0 1) into 1 0.397 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.397 * [backup-simplify]: Simplify 1 into 1 0.398 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.398 * [backup-simplify]: Simplify (+ 0 0) into 0 0.401 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.402 * [backup-simplify]: Simplify -1/2 into -1/2 0.402 * [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)))) 0.402 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.402 * [backup-simplify]: Simplify (/ (log (- 1 x)) (log1p x)) into (/ (log (- 1 x)) (log1p x)) 0.402 * [approximate]: Taking taylor expansion of (/ (log (- 1 x)) (log1p x)) in (x) around 0 0.402 * [taylor]: Taking taylor expansion of (/ (log (- 1 x)) (log1p x)) in x 0.402 * [taylor]: Taking taylor expansion of (log (- 1 x)) in x 0.402 * [taylor]: Taking taylor expansion of (- 1 x) in x 0.402 * [taylor]: Taking taylor expansion of 1 in x 0.402 * [backup-simplify]: Simplify 1 into 1 0.402 * [taylor]: Taking taylor expansion of x in x 0.402 * [backup-simplify]: Simplify 0 into 0 0.402 * [backup-simplify]: Simplify 1 into 1 0.403 * [backup-simplify]: Simplify (- 0) into 0 0.403 * [backup-simplify]: Simplify (+ 1 0) into 1 0.404 * [backup-simplify]: Simplify (log 1) into 0 0.404 * [taylor]: Taking taylor expansion of (log1p x) in x 0.404 * [taylor]: Rewrote expression to (log (+ 1 x)) 0.404 * [taylor]: Taking taylor expansion of (+ 1 x) in x 0.404 * [taylor]: Taking taylor expansion of 1 in x 0.404 * [backup-simplify]: Simplify 1 into 1 0.404 * [taylor]: Taking taylor expansion of x in x 0.404 * [backup-simplify]: Simplify 0 into 0 0.404 * [backup-simplify]: Simplify 1 into 1 0.405 * [backup-simplify]: Simplify (+ 1 0) into 1 0.405 * [backup-simplify]: Simplify (log 1) into 0 0.405 * [backup-simplify]: Simplify (- 1) into -1 0.406 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.407 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 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 1) into -1 0.410 * [taylor]: Taking taylor expansion of (/ (log (- 1 x)) (log1p x)) in x 0.410 * [taylor]: Taking taylor expansion of (log (- 1 x)) in x 0.410 * [taylor]: Taking taylor expansion of (- 1 x) in x 0.410 * [taylor]: Taking taylor expansion of 1 in x 0.410 * [backup-simplify]: Simplify 1 into 1 0.410 * [taylor]: Taking taylor expansion of x in x 0.410 * [backup-simplify]: Simplify 0 into 0 0.410 * [backup-simplify]: Simplify 1 into 1 0.410 * [backup-simplify]: Simplify (- 0) into 0 0.411 * [backup-simplify]: Simplify (+ 1 0) into 1 0.411 * [backup-simplify]: Simplify (log 1) into 0 0.411 * [taylor]: Taking taylor expansion of (log1p x) in x 0.411 * [taylor]: Rewrote expression to (log (+ 1 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 0.411 * [taylor]: Taking taylor expansion of x in x 0.411 * [backup-simplify]: Simplify 0 into 0 0.411 * [backup-simplify]: Simplify 1 into 1 0.412 * [backup-simplify]: Simplify (+ 1 0) into 1 0.412 * [backup-simplify]: Simplify (log 1) into 0 0.412 * [backup-simplify]: Simplify (- 1) into -1 0.413 * [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 0.416 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.416 * [backup-simplify]: Simplify (/ -1 1) into -1 0.417 * [backup-simplify]: Simplify -1 into -1 0.417 * [backup-simplify]: Simplify (- 0) into 0 0.417 * [backup-simplify]: Simplify (+ 0 0) into 0 0.421 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.421 * [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 0.426 * [backup-simplify]: Simplify (- (/ -1/2 1) (+ (* -1 (/ -1/2 1)))) into -1 0.426 * [backup-simplify]: Simplify -1 into -1 0.426 * [backup-simplify]: Simplify (- 0) into 0 0.427 * [backup-simplify]: Simplify (+ 0 0) into 0 0.433 * [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 0.433 * [backup-simplify]: Simplify (+ 0 0) into 0 0.440 * [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 0.441 * [backup-simplify]: Simplify (- (/ -1/3 1) (+ (* -1 (/ 1/3 1)) (* -1 (/ -1/2 1)))) into -1/2 0.442 * [backup-simplify]: Simplify -1/2 into -1/2 0.442 * [backup-simplify]: Simplify (+ (* -1/2 (pow x 2)) (+ (* -1 x) -1)) into (- (+ x (+ (* 1/2 (pow x 2)) 1))) 0.442 * [backup-simplify]: Simplify (/ (log (- 1 (/ 1 x))) (log1p (/ 1 x))) into (/ (log (- 1 (/ 1 x))) (log1p (/ 1 x))) 0.442 * [approximate]: Taking taylor expansion of (/ (log (- 1 (/ 1 x))) (log1p (/ 1 x))) in (x) around 0 0.442 * [taylor]: Taking taylor expansion of (/ (log (- 1 (/ 1 x))) (log1p (/ 1 x))) in x 0.442 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 x))) in x 0.442 * [taylor]: Taking taylor expansion of (- 1 (/ 1 x)) in x 0.442 * [taylor]: Taking taylor expansion of 1 in x 0.442 * [backup-simplify]: Simplify 1 into 1 0.442 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.442 * [taylor]: Taking taylor expansion of x in x 0.442 * [backup-simplify]: Simplify 0 into 0 0.442 * [backup-simplify]: Simplify 1 into 1 0.443 * [backup-simplify]: Simplify (/ 1 1) into 1 0.443 * [backup-simplify]: Simplify (- 1) into -1 0.444 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.444 * [backup-simplify]: Simplify (log -1) into (log -1) 0.444 * [taylor]: Taking taylor expansion of (log1p (/ 1 x)) in x 0.444 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 x))) 0.444 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 x)) in x 0.444 * [taylor]: Taking taylor expansion of 1 in x 0.444 * [backup-simplify]: Simplify 1 into 1 0.444 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.444 * [taylor]: Taking taylor expansion of x in x 0.444 * [backup-simplify]: Simplify 0 into 0 0.445 * [backup-simplify]: Simplify 1 into 1 0.445 * [backup-simplify]: Simplify (/ 1 1) into 1 0.445 * [backup-simplify]: Simplify (+ 0 1) into 1 0.446 * [backup-simplify]: Simplify (log 1) into 0 0.447 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 0.447 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 0.448 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 0.448 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 0.449 * [backup-simplify]: Simplify (/ (- (log -1) (log x)) (- (log x))) into (* -1 (/ (- (log -1) (log x)) (log x))) 0.449 * [taylor]: Taking taylor expansion of (/ (log (- 1 (/ 1 x))) (log1p (/ 1 x))) in x 0.449 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 x))) in x 0.449 * [taylor]: Taking taylor expansion of (- 1 (/ 1 x)) in x 0.449 * [taylor]: Taking taylor expansion of 1 in x 0.449 * [backup-simplify]: Simplify 1 into 1 0.449 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.449 * [taylor]: Taking taylor expansion of x in x 0.449 * [backup-simplify]: Simplify 0 into 0 0.449 * [backup-simplify]: Simplify 1 into 1 0.449 * [backup-simplify]: Simplify (/ 1 1) into 1 0.450 * [backup-simplify]: Simplify (- 1) into -1 0.450 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.450 * [backup-simplify]: Simplify (log -1) into (log -1) 0.450 * [taylor]: Taking taylor expansion of (log1p (/ 1 x)) in x 0.451 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 x))) 0.451 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 x)) in x 0.451 * [taylor]: Taking taylor expansion of 1 in x 0.451 * [backup-simplify]: Simplify 1 into 1 0.451 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.451 * [taylor]: Taking taylor expansion of x in x 0.451 * [backup-simplify]: Simplify 0 into 0 0.451 * [backup-simplify]: Simplify 1 into 1 0.451 * [backup-simplify]: Simplify (/ 1 1) into 1 0.452 * [backup-simplify]: Simplify (+ 0 1) into 1 0.452 * [backup-simplify]: Simplify (log 1) into 0 0.453 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 0.453 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 0.454 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 0.454 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 0.455 * [backup-simplify]: Simplify (/ (- (log -1) (log x)) (- (log x))) into (* -1 (/ (- (log -1) (log x)) (log x))) 0.455 * [backup-simplify]: Simplify (* -1 (/ (- (log -1) (log x)) (log x))) into (* -1 (/ (- (log -1) (log x)) (log x))) 0.456 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.457 * [backup-simplify]: Simplify (- 0) into 0 0.457 * [backup-simplify]: Simplify (+ 1 0) into 1 0.458 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 0.459 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 0.460 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.460 * [backup-simplify]: Simplify (+ 1 0) into 1 0.461 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.462 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 0.462 * [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))) 0.463 * [backup-simplify]: Simplify (- (* 2 (/ 1 (log x))) (/ (log -1) (pow (log x) 2))) into (- (* 2 (/ 1 (log x))) (/ (log -1) (pow (log x) 2))) 0.464 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.464 * [backup-simplify]: Simplify (- 0) into 0 0.465 * [backup-simplify]: Simplify (+ 0 0) into 0 0.467 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 0.468 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 0.469 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.469 * [backup-simplify]: Simplify (+ 0 0) into 0 0.472 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.473 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 0.473 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 0.474 * [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))) 0.476 * [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))) 0.479 * [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))))) 0.480 * [backup-simplify]: Simplify (/ (log (- 1 (/ 1 (- x)))) (log1p (/ 1 (- x)))) into (/ (log (+ (/ 1 x) 1)) (log1p (/ -1 x))) 0.480 * [approximate]: Taking taylor expansion of (/ (log (+ (/ 1 x) 1)) (log1p (/ -1 x))) in (x) around 0 0.480 * [taylor]: Taking taylor expansion of (/ (log (+ (/ 1 x) 1)) (log1p (/ -1 x))) in x 0.480 * [taylor]: Taking taylor expansion of (log (+ (/ 1 x) 1)) in x 0.480 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 0.480 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.480 * [taylor]: Taking taylor expansion of x in x 0.480 * [backup-simplify]: Simplify 0 into 0 0.480 * [backup-simplify]: Simplify 1 into 1 0.480 * [backup-simplify]: Simplify (/ 1 1) into 1 0.480 * [taylor]: Taking taylor expansion of 1 in x 0.480 * [backup-simplify]: Simplify 1 into 1 0.481 * [backup-simplify]: Simplify (+ 1 0) into 1 0.481 * [backup-simplify]: Simplify (log 1) into 0 0.481 * [taylor]: Taking taylor expansion of (log1p (/ -1 x)) in x 0.481 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 x))) 0.482 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 x)) in x 0.482 * [taylor]: Taking taylor expansion of 1 in x 0.482 * [backup-simplify]: Simplify 1 into 1 0.482 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.482 * [taylor]: Taking taylor expansion of -1 in x 0.482 * [backup-simplify]: Simplify -1 into -1 0.482 * [taylor]: Taking taylor expansion of x in x 0.482 * [backup-simplify]: Simplify 0 into 0 0.482 * [backup-simplify]: Simplify 1 into 1 0.482 * [backup-simplify]: Simplify (/ -1 1) into -1 0.483 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.483 * [backup-simplify]: Simplify (log -1) into (log -1) 0.484 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 0.484 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 0.485 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 0.486 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 0.486 * [backup-simplify]: Simplify (/ (- (log x)) (- (log -1) (log x))) into (* -1 (/ (log x) (- (log -1) (log x)))) 0.486 * [taylor]: Taking taylor expansion of (/ (log (+ (/ 1 x) 1)) (log1p (/ -1 x))) in x 0.487 * [taylor]: Taking taylor expansion of (log (+ (/ 1 x) 1)) in x 0.487 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 0.487 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.487 * [taylor]: Taking taylor expansion of x in x 0.487 * [backup-simplify]: Simplify 0 into 0 0.487 * [backup-simplify]: Simplify 1 into 1 0.487 * [backup-simplify]: Simplify (/ 1 1) into 1 0.487 * [taylor]: Taking taylor expansion of 1 in x 0.487 * [backup-simplify]: Simplify 1 into 1 0.488 * [backup-simplify]: Simplify (+ 1 0) into 1 0.488 * [backup-simplify]: Simplify (log 1) into 0 0.488 * [taylor]: Taking taylor expansion of (log1p (/ -1 x)) in x 0.488 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 x))) 0.488 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 x)) in x 0.488 * [taylor]: Taking taylor expansion of 1 in x 0.488 * [backup-simplify]: Simplify 1 into 1 0.488 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.488 * [taylor]: Taking taylor expansion of -1 in x 0.488 * [backup-simplify]: Simplify -1 into -1 0.488 * [taylor]: Taking taylor expansion of x in x 0.488 * [backup-simplify]: Simplify 0 into 0 0.488 * [backup-simplify]: Simplify 1 into 1 0.489 * [backup-simplify]: Simplify (/ -1 1) into -1 0.489 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.490 * [backup-simplify]: Simplify (log -1) into (log -1) 0.490 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 0.491 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 0.492 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 0.492 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 0.493 * [backup-simplify]: Simplify (/ (- (log x)) (- (log -1) (log x))) into (* -1 (/ (log x) (- (log -1) (log x)))) 0.493 * [backup-simplify]: Simplify (* -1 (/ (log x) (- (log -1) (log x)))) into (* -1 (/ (log x) (- (log -1) (log x)))) 0.495 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.495 * [backup-simplify]: Simplify (+ 0 1) into 1 0.496 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.497 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 0.498 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.499 * [backup-simplify]: Simplify (+ 1 0) into 1 0.500 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 0.501 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 0.503 * [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))) 0.504 * [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))) 0.505 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.505 * [backup-simplify]: Simplify (+ 0 0) into 0 0.508 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.509 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 0.510 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.510 * [backup-simplify]: Simplify (+ 0 0) into 0 0.513 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 0.514 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 0.515 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 0.518 * [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)))))) 0.520 * [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)))))) 0.525 * [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))))))))))) 0.525 * * * [progress]: simplifying candidates 0.525 * * * * [progress]: [ 1 / 64 ] simplifiying candidate # 0.525 * * * * [progress]: [ 2 / 64 ] simplifiying candidate # 0.525 * * * * [progress]: [ 3 / 64 ] simplifiying candidate # 0.525 * * * * [progress]: [ 4 / 64 ] simplifiying candidate # 0.525 * * * * [progress]: [ 5 / 64 ] simplifiying candidate # 0.525 * * * * [progress]: [ 6 / 64 ] simplifiying candidate # 0.526 * * * * [progress]: [ 7 / 64 ] simplifiying candidate # 0.526 * * * * [progress]: [ 8 / 64 ] simplifiying candidate # 0.526 * * * * [progress]: [ 9 / 64 ] simplifiying candidate # 0.526 * * * * [progress]: [ 10 / 64 ] simplifiying candidate # 0.526 * * * * [progress]: [ 11 / 64 ] simplifiying candidate # 0.526 * * * * [progress]: [ 12 / 64 ] simplifiying candidate # 0.526 * * * * [progress]: [ 13 / 64 ] simplifiying candidate # 0.526 * * * * [progress]: [ 14 / 64 ] simplifiying candidate # 0.526 * * * * [progress]: [ 15 / 64 ] simplifiying candidate # 0.526 * * * * [progress]: [ 16 / 64 ] simplifiying candidate # 0.526 * * * * [progress]: [ 17 / 64 ] simplifiying candidate # 0.526 * * * * [progress]: [ 18 / 64 ] simplifiying candidate # 0.526 * * * * [progress]: [ 19 / 64 ] simplifiying candidate # 0.526 * * * * [progress]: [ 20 / 64 ] simplifiying candidate # 0.526 * * * * [progress]: [ 21 / 64 ] simplifiying candidate # 0.526 * * * * [progress]: [ 22 / 64 ] simplifiying candidate #real (real->posit16 (log (- 1 x)))) (log1p x)))> 0.527 * * * * [progress]: [ 23 / 64 ] simplifiying candidate # 0.527 * * * * [progress]: [ 24 / 64 ] simplifiying candidate # 0.527 * * * * [progress]: [ 25 / 64 ] simplifiying candidate # 0.527 * * * * [progress]: [ 26 / 64 ] simplifiying candidate # 0.527 * * * * [progress]: [ 27 / 64 ] simplifiying candidate # 0.527 * * * * [progress]: [ 28 / 64 ] simplifiying candidate # 0.527 * * * * [progress]: [ 29 / 64 ] simplifiying candidate # 0.527 * * * * [progress]: [ 30 / 64 ] simplifiying candidate # 0.527 * * * * [progress]: [ 31 / 64 ] simplifiying candidate # 0.527 * * * * [progress]: [ 32 / 64 ] simplifiying candidate # 0.527 * * * * [progress]: [ 33 / 64 ] simplifiying candidate # 0.527 * * * * [progress]: [ 34 / 64 ] simplifiying candidate # 0.527 * * * * [progress]: [ 35 / 64 ] simplifiying candidate # 0.527 * * * * [progress]: [ 36 / 64 ] simplifiying candidate # 0.527 * * * * [progress]: [ 37 / 64 ] simplifiying candidate # 0.527 * * * * [progress]: [ 38 / 64 ] simplifiying candidate # 0.527 * * * * [progress]: [ 39 / 64 ] simplifiying candidate # 0.528 * * * * [progress]: [ 40 / 64 ] simplifiying candidate # 0.528 * * * * [progress]: [ 41 / 64 ] simplifiying candidate # 0.528 * * * * [progress]: [ 42 / 64 ] simplifiying candidate # 0.528 * * * * [progress]: [ 43 / 64 ] simplifiying candidate # 0.528 * * * * [progress]: [ 44 / 64 ] simplifiying candidate # 0.528 * * * * [progress]: [ 45 / 64 ] simplifiying candidate # 0.528 * * * * [progress]: [ 46 / 64 ] simplifiying candidate # 0.528 * * * * [progress]: [ 47 / 64 ] simplifiying candidate # 0.528 * * * * [progress]: [ 48 / 64 ] simplifiying candidate # 0.528 * * * * [progress]: [ 49 / 64 ] simplifiying candidate # 0.528 * * * * [progress]: [ 50 / 64 ] simplifiying candidate # 0.528 * * * * [progress]: [ 51 / 64 ] simplifiying candidate # 0.528 * * * * [progress]: [ 52 / 64 ] simplifiying candidate # 0.528 * * * * [progress]: [ 53 / 64 ] simplifiying candidate # 0.528 * * * * [progress]: [ 54 / 64 ] simplifiying candidate # 0.528 * * * * [progress]: [ 55 / 64 ] simplifiying candidate # 0.528 * * * * [progress]: [ 56 / 64 ] simplifiying candidate # 0.529 * * * * [progress]: [ 57 / 64 ] simplifiying candidate # 0.529 * * * * [progress]: [ 58 / 64 ] simplifiying candidate #real (real->posit16 (/ (log (- 1 x)) (log1p x)))))> 0.529 * * * * [progress]: [ 59 / 64 ] simplifiying candidate # 0.529 * * * * [progress]: [ 60 / 64 ] simplifiying candidate # 0.529 * * * * [progress]: [ 61 / 64 ] simplifiying candidate # 0.529 * * * * [progress]: [ 62 / 64 ] simplifiying candidate # 0.529 * * * * [progress]: [ 63 / 64 ] simplifiying candidate # 0.529 * * * * [progress]: [ 64 / 64 ] simplifiying candidate # 0.530 * [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))))))))))) 0.532 * * [simplify]: iteration 1: (163 enodes) 0.595 * * [simplify]: iteration 2: (670 enodes) 0.792 * * [simplify]: iteration 3: (1440 enodes) 1.347 * * [simplify]: Extracting #0: cost 61 inf + 0 1.348 * * [simplify]: Extracting #1: cost 349 inf + 2 1.352 * * [simplify]: Extracting #2: cost 854 inf + 2692 1.358 * * [simplify]: Extracting #3: cost 998 inf + 20427 1.380 * * [simplify]: Extracting #4: cost 562 inf + 151387 1.451 * * [simplify]: Extracting #5: cost 103 inf + 373061 1.545 * * [simplify]: Extracting #6: cost 3 inf + 429571 1.646 * * [simplify]: Extracting #7: cost 0 inf + 426625 1.807 * * [simplify]: Extracting #8: cost 0 inf + 426580 1.941 * [simplify]: Simplified to: (- x) (log1p (log (- 1 x))) (log (* (cbrt (- 1 x)) (cbrt (- 1 x)))) (log (cbrt (- 1 x))) (log (sqrt (- 1 x))) (log (sqrt (- 1 x))) 0 (log (- 1 x)) (log1p (sqrt x)) (log (- 1 (sqrt x))) (log1p (sqrt x)) (log (- 1 (sqrt x))) 0 (log (- 1 x)) (log (- 1 (* (* x x) x))) (log1p (fma x x x)) (log (- 1 (* x x))) (log1p x) (log (- 1 x)) (log (log (- 1 x))) (- 1 x) (* (cbrt (log (- 1 x))) (cbrt (log (- 1 x)))) (cbrt (log (- 1 x))) (* (* (log (- 1 x)) (log (- 1 x))) (log (- 1 x))) (sqrt (log (- 1 x))) (sqrt (log (- 1 x))) (real->posit16 (log (- 1 x))) (expm1 (/ (log (- 1 x)) (log1p x))) (log1p (/ (log (- 1 x)) (log1p x))) (- (log (log (- 1 x))) (log (log1p x))) (log (/ (log (- 1 x)) (log1p x))) (exp (/ (log (- 1 x)) (log1p x))) (* (/ (log (- 1 x)) (log1p x)) (* (/ (log (- 1 x)) (log1p x)) (/ (log (- 1 x)) (log1p x)))) (* (cbrt (/ (log (- 1 x)) (log1p x))) (cbrt (/ (log (- 1 x)) (log1p x)))) (cbrt (/ (log (- 1 x)) (log1p x))) (* (/ (log (- 1 x)) (log1p x)) (* (/ (log (- 1 x)) (log1p x)) (/ (log (- 1 x)) (log1p x)))) (sqrt (/ (log (- 1 x)) (log1p x))) (sqrt (/ (log (- 1 x)) (log1p x))) (- (log (- 1 x))) (- (log1p x)) (/ (log (- 1 (* (* x x) x))) (log1p x)) (/ (log1p (fma x x x)) (log1p x)) (/ (log (- 1 (* x x))) (log1p x)) 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) (fma (/ (/ 1 x) x) 1/2 (- (/ 1 x) (log x)))) (+ (/ -1/2 (* x x)) (+ (/ -1 x) (- (log (/ -1 x))))) (- (- x) (fma 1/2 (* x x) 1)) (+ (/ 2 (* (- x) (log x))) (+ (/ 2 (* (* (log x) x) (* (log x) 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)))) (+ (/ (/ 1/2 x) (* (+ 0 (log x)) x)) (fma 1/2 (/ (/ (log (/ -1 x)) (* (+ 0 (log x)) x)) (* (+ 0 (log x)) x)) (/ (/ 1 x) (+ 0 (log x)))))) (- (/ (log (/ -1 x)) (+ 0 (log x))) (/ (/ (log (/ -1 x)) (+ 0 (log x))) (* (+ 0 (log x)) x)))) 1.944 * * * [progress]: adding candidates to table 2.224 * * [progress]: iteration 2 / 4 2.224 * * * [progress]: picking best candidate 2.231 * * * * [pick]: Picked # 2.231 * * * [progress]: localizing error 2.250 * * * [progress]: generating rewritten candidates 2.250 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 2.259 * * * [progress]: generating series expansions 2.259 * * * * [progress]: [ 1 / 1 ] generating series at (2) 2.260 * [backup-simplify]: Simplify (/ (log1p (- x)) (log1p x)) into (/ (log1p (- x)) (log1p x)) 2.260 * [approximate]: Taking taylor expansion of (/ (log1p (- x)) (log1p x)) in (x) around 0 2.260 * [taylor]: Taking taylor expansion of (/ (log1p (- x)) (log1p x)) in x 2.260 * [taylor]: Taking taylor expansion of (log1p (- x)) in x 2.260 * [taylor]: Rewrote expression to (log (+ 1 (- x))) 2.260 * [taylor]: Taking taylor expansion of (+ 1 (- x)) in x 2.260 * [taylor]: Taking taylor expansion of 1 in x 2.260 * [backup-simplify]: Simplify 1 into 1 2.260 * [taylor]: Taking taylor expansion of (- x) in x 2.260 * [taylor]: Taking taylor expansion of x in x 2.260 * [backup-simplify]: Simplify 0 into 0 2.260 * [backup-simplify]: Simplify 1 into 1 2.261 * [backup-simplify]: Simplify (- 0) into 0 2.261 * [backup-simplify]: Simplify (+ 1 0) into 1 2.262 * [backup-simplify]: Simplify (log 1) into 0 2.262 * [taylor]: Taking taylor expansion of (log1p x) in x 2.262 * [taylor]: Rewrote expression to (log (+ 1 x)) 2.262 * [taylor]: Taking taylor expansion of (+ 1 x) in x 2.262 * [taylor]: Taking taylor expansion of 1 in x 2.262 * [backup-simplify]: Simplify 1 into 1 2.262 * [taylor]: Taking taylor expansion of x in x 2.262 * [backup-simplify]: Simplify 0 into 0 2.262 * [backup-simplify]: Simplify 1 into 1 2.262 * [backup-simplify]: Simplify (+ 1 0) into 1 2.263 * [backup-simplify]: Simplify (log 1) into 0 2.263 * [backup-simplify]: Simplify (- 1) into -1 2.264 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.265 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 2.266 * [backup-simplify]: Simplify (+ 0 1) into 1 2.267 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 2.268 * [backup-simplify]: Simplify (/ -1 1) into -1 2.268 * [taylor]: Taking taylor expansion of (/ (log1p (- x)) (log1p x)) in x 2.268 * [taylor]: Taking taylor expansion of (log1p (- x)) in x 2.268 * [taylor]: Rewrote expression to (log (+ 1 (- x))) 2.268 * [taylor]: Taking taylor expansion of (+ 1 (- x)) in x 2.268 * [taylor]: Taking taylor expansion of 1 in x 2.268 * [backup-simplify]: Simplify 1 into 1 2.268 * [taylor]: Taking taylor expansion of (- x) in x 2.268 * [taylor]: Taking taylor expansion of x in x 2.268 * [backup-simplify]: Simplify 0 into 0 2.268 * [backup-simplify]: Simplify 1 into 1 2.268 * [backup-simplify]: Simplify (- 0) into 0 2.269 * [backup-simplify]: Simplify (+ 1 0) into 1 2.269 * [backup-simplify]: Simplify (log 1) into 0 2.269 * [taylor]: Taking taylor expansion of (log1p x) in x 2.269 * [taylor]: Rewrote expression to (log (+ 1 x)) 2.269 * [taylor]: Taking taylor expansion of (+ 1 x) in x 2.269 * [taylor]: Taking taylor expansion of 1 in x 2.269 * [backup-simplify]: Simplify 1 into 1 2.269 * [taylor]: Taking taylor expansion of x in x 2.269 * [backup-simplify]: Simplify 0 into 0 2.269 * [backup-simplify]: Simplify 1 into 1 2.270 * [backup-simplify]: Simplify (+ 1 0) into 1 2.270 * [backup-simplify]: Simplify (log 1) into 0 2.271 * [backup-simplify]: Simplify (- 1) into -1 2.271 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.273 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 2.274 * [backup-simplify]: Simplify (+ 0 1) into 1 2.275 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 2.276 * [backup-simplify]: Simplify (/ -1 1) into -1 2.276 * [backup-simplify]: Simplify -1 into -1 2.276 * [backup-simplify]: Simplify (- 0) into 0 2.277 * [backup-simplify]: Simplify (+ 0 0) into 0 2.280 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 2.280 * [backup-simplify]: Simplify (+ 0 0) into 0 2.284 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 2.285 * [backup-simplify]: Simplify (- (/ -1/2 1) (+ (* -1 (/ -1/2 1)))) into -1 2.285 * [backup-simplify]: Simplify -1 into -1 2.286 * [backup-simplify]: Simplify (- 0) into 0 2.287 * [backup-simplify]: Simplify (+ 0 0) into 0 2.295 * [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 2.295 * [backup-simplify]: Simplify (+ 0 0) into 0 2.301 * [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 2.303 * [backup-simplify]: Simplify (- (/ -1/3 1) (+ (* -1 (/ 1/3 1)) (* -1 (/ -1/2 1)))) into -1/2 2.303 * [backup-simplify]: Simplify -1/2 into -1/2 2.303 * [backup-simplify]: Simplify (+ (* -1/2 (pow x 2)) (+ (* -1 x) -1)) into (- (+ x (+ (* 1/2 (pow x 2)) 1))) 2.303 * [backup-simplify]: Simplify (/ (log1p (- (/ 1 x))) (log1p (/ 1 x))) into (/ (log1p (- (/ 1 x))) (log1p (/ 1 x))) 2.303 * [approximate]: Taking taylor expansion of (/ (log1p (- (/ 1 x))) (log1p (/ 1 x))) in (x) around 0 2.304 * [taylor]: Taking taylor expansion of (/ (log1p (- (/ 1 x))) (log1p (/ 1 x))) in x 2.304 * [taylor]: Taking taylor expansion of (log1p (- (/ 1 x))) in x 2.304 * [taylor]: Rewrote expression to (log (+ 1 (- (/ 1 x)))) 2.304 * [taylor]: Taking taylor expansion of (+ 1 (- (/ 1 x))) in x 2.304 * [taylor]: Taking taylor expansion of 1 in x 2.304 * [backup-simplify]: Simplify 1 into 1 2.304 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 2.304 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.304 * [taylor]: Taking taylor expansion of x in x 2.304 * [backup-simplify]: Simplify 0 into 0 2.304 * [backup-simplify]: Simplify 1 into 1 2.305 * [backup-simplify]: Simplify (/ 1 1) into 1 2.305 * [backup-simplify]: Simplify (- 1) into -1 2.306 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.306 * [backup-simplify]: Simplify (log -1) into (log -1) 2.306 * [taylor]: Taking taylor expansion of (log1p (/ 1 x)) in x 2.306 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 x))) 2.306 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 x)) in x 2.306 * [taylor]: Taking taylor expansion of 1 in x 2.306 * [backup-simplify]: Simplify 1 into 1 2.306 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.306 * [taylor]: Taking taylor expansion of x in x 2.306 * [backup-simplify]: Simplify 0 into 0 2.306 * [backup-simplify]: Simplify 1 into 1 2.307 * [backup-simplify]: Simplify (/ 1 1) into 1 2.307 * [backup-simplify]: Simplify (+ 0 1) into 1 2.308 * [backup-simplify]: Simplify (log 1) into 0 2.308 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 2.309 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 2.310 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 2.310 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 2.311 * [backup-simplify]: Simplify (/ (- (log -1) (log x)) (- (log x))) into (* -1 (/ (- (log -1) (log x)) (log x))) 2.311 * [taylor]: Taking taylor expansion of (/ (log1p (- (/ 1 x))) (log1p (/ 1 x))) in x 2.311 * [taylor]: Taking taylor expansion of (log1p (- (/ 1 x))) in x 2.311 * [taylor]: Rewrote expression to (log (+ 1 (- (/ 1 x)))) 2.311 * [taylor]: Taking taylor expansion of (+ 1 (- (/ 1 x))) in x 2.311 * [taylor]: Taking taylor expansion of 1 in x 2.311 * [backup-simplify]: Simplify 1 into 1 2.311 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 2.311 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.311 * [taylor]: Taking taylor expansion of x in x 2.311 * [backup-simplify]: Simplify 0 into 0 2.311 * [backup-simplify]: Simplify 1 into 1 2.311 * [backup-simplify]: Simplify (/ 1 1) into 1 2.312 * [backup-simplify]: Simplify (- 1) into -1 2.312 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.313 * [backup-simplify]: Simplify (log -1) into (log -1) 2.313 * [taylor]: Taking taylor expansion of (log1p (/ 1 x)) in x 2.313 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 x))) 2.313 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 x)) in x 2.313 * [taylor]: Taking taylor expansion of 1 in x 2.313 * [backup-simplify]: Simplify 1 into 1 2.313 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.313 * [taylor]: Taking taylor expansion of x in x 2.313 * [backup-simplify]: Simplify 0 into 0 2.313 * [backup-simplify]: Simplify 1 into 1 2.313 * [backup-simplify]: Simplify (/ 1 1) into 1 2.314 * [backup-simplify]: Simplify (+ 0 1) into 1 2.314 * [backup-simplify]: Simplify (log 1) into 0 2.319 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 2.319 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 2.320 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 2.321 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 2.321 * [backup-simplify]: Simplify (/ (- (log -1) (log x)) (- (log x))) into (* -1 (/ (- (log -1) (log x)) (log x))) 2.322 * [backup-simplify]: Simplify (* -1 (/ (- (log -1) (log x)) (log x))) into (* -1 (/ (- (log -1) (log x)) (log x))) 2.323 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.323 * [backup-simplify]: Simplify (- 0) into 0 2.323 * [backup-simplify]: Simplify (+ 1 0) into 1 2.325 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 2.326 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 2.326 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.327 * [backup-simplify]: Simplify (+ 1 0) into 1 2.328 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 2.329 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 2.329 * [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))) 2.330 * [backup-simplify]: Simplify (- (* 2 (/ 1 (log x))) (/ (log -1) (pow (log x) 2))) into (- (* 2 (/ 1 (log x))) (/ (log -1) (pow (log x) 2))) 2.331 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.331 * [backup-simplify]: Simplify (- 0) into 0 2.332 * [backup-simplify]: Simplify (+ 0 0) into 0 2.335 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 2.335 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 2.336 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.337 * [backup-simplify]: Simplify (+ 0 0) into 0 2.339 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 2.340 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 2.340 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 2.342 * [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))) 2.343 * [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))) 2.346 * [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))))) 2.346 * [backup-simplify]: Simplify (/ (log1p (- (/ 1 (- x)))) (log1p (/ 1 (- x)))) into (/ (log1p (/ 1 x)) (log1p (/ -1 x))) 2.346 * [approximate]: Taking taylor expansion of (/ (log1p (/ 1 x)) (log1p (/ -1 x))) in (x) around 0 2.346 * [taylor]: Taking taylor expansion of (/ (log1p (/ 1 x)) (log1p (/ -1 x))) in x 2.346 * [taylor]: Taking taylor expansion of (log1p (/ 1 x)) in x 2.347 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 x))) 2.347 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 x)) in x 2.347 * [taylor]: Taking taylor expansion of 1 in x 2.347 * [backup-simplify]: Simplify 1 into 1 2.347 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.347 * [taylor]: Taking taylor expansion of x in x 2.347 * [backup-simplify]: Simplify 0 into 0 2.347 * [backup-simplify]: Simplify 1 into 1 2.347 * [backup-simplify]: Simplify (/ 1 1) into 1 2.348 * [backup-simplify]: Simplify (+ 0 1) into 1 2.348 * [backup-simplify]: Simplify (log 1) into 0 2.348 * [taylor]: Taking taylor expansion of (log1p (/ -1 x)) in x 2.348 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 x))) 2.348 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 x)) in x 2.348 * [taylor]: Taking taylor expansion of 1 in x 2.348 * [backup-simplify]: Simplify 1 into 1 2.348 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.348 * [taylor]: Taking taylor expansion of -1 in x 2.348 * [backup-simplify]: Simplify -1 into -1 2.348 * [taylor]: Taking taylor expansion of x in x 2.348 * [backup-simplify]: Simplify 0 into 0 2.348 * [backup-simplify]: Simplify 1 into 1 2.349 * [backup-simplify]: Simplify (/ -1 1) into -1 2.349 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.350 * [backup-simplify]: Simplify (log -1) into (log -1) 2.350 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 2.351 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 2.351 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 2.352 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 2.353 * [backup-simplify]: Simplify (/ (- (log x)) (- (log -1) (log x))) into (* -1 (/ (log x) (- (log -1) (log x)))) 2.353 * [taylor]: Taking taylor expansion of (/ (log1p (/ 1 x)) (log1p (/ -1 x))) in x 2.353 * [taylor]: Taking taylor expansion of (log1p (/ 1 x)) in x 2.353 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 x))) 2.353 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 x)) in x 2.353 * [taylor]: Taking taylor expansion of 1 in x 2.353 * [backup-simplify]: Simplify 1 into 1 2.353 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.353 * [taylor]: Taking taylor expansion of x in x 2.353 * [backup-simplify]: Simplify 0 into 0 2.353 * [backup-simplify]: Simplify 1 into 1 2.354 * [backup-simplify]: Simplify (/ 1 1) into 1 2.354 * [backup-simplify]: Simplify (+ 0 1) into 1 2.354 * [backup-simplify]: Simplify (log 1) into 0 2.354 * [taylor]: Taking taylor expansion of (log1p (/ -1 x)) in x 2.355 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 x))) 2.355 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 x)) in x 2.355 * [taylor]: Taking taylor expansion of 1 in x 2.355 * [backup-simplify]: Simplify 1 into 1 2.355 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.355 * [taylor]: Taking taylor expansion of -1 in x 2.355 * [backup-simplify]: Simplify -1 into -1 2.355 * [taylor]: Taking taylor expansion of x in x 2.355 * [backup-simplify]: Simplify 0 into 0 2.355 * [backup-simplify]: Simplify 1 into 1 2.356 * [backup-simplify]: Simplify (/ -1 1) into -1 2.356 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.356 * [backup-simplify]: Simplify (log -1) into (log -1) 2.357 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 2.358 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 2.358 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 2.359 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 2.360 * [backup-simplify]: Simplify (/ (- (log x)) (- (log -1) (log x))) into (* -1 (/ (log x) (- (log -1) (log x)))) 2.360 * [backup-simplify]: Simplify (* -1 (/ (log x) (- (log -1) (log x)))) into (* -1 (/ (log x) (- (log -1) (log x)))) 2.361 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.361 * [backup-simplify]: Simplify (+ 1 0) into 1 2.363 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 2.364 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 2.364 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.365 * [backup-simplify]: Simplify (+ 1 0) into 1 2.366 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 2.367 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 2.369 * [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))) 2.370 * [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))) 2.371 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.371 * [backup-simplify]: Simplify (+ 0 0) into 0 2.374 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 2.375 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 2.376 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.377 * [backup-simplify]: Simplify (+ 0 0) into 0 2.380 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 2.380 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 2.381 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 2.384 * [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)))))) 2.387 * [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)))))) 2.391 * [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))))))))))) 2.392 * * * [progress]: simplifying candidates 2.392 * * * * [progress]: [ 1 / 33 ] simplifiying candidate # 2.392 * * * * [progress]: [ 2 / 33 ] simplifiying candidate # 2.392 * * * * [progress]: [ 3 / 33 ] simplifiying candidate # 2.392 * * * * [progress]: [ 4 / 33 ] simplifiying candidate # 2.392 * * * * [progress]: [ 5 / 33 ] simplifiying candidate # 2.392 * * * * [progress]: [ 6 / 33 ] simplifiying candidate # 2.392 * * * * [progress]: [ 7 / 33 ] simplifiying candidate # 2.392 * * * * [progress]: [ 8 / 33 ] simplifiying candidate # 2.392 * * * * [progress]: [ 9 / 33 ] simplifiying candidate # 2.392 * * * * [progress]: [ 10 / 33 ] simplifiying candidate # 2.392 * * * * [progress]: [ 11 / 33 ] simplifiying candidate # 2.392 * * * * [progress]: [ 12 / 33 ] simplifiying candidate # 2.392 * * * * [progress]: [ 13 / 33 ] simplifiying candidate # 2.392 * * * * [progress]: [ 14 / 33 ] simplifiying candidate # 2.393 * * * * [progress]: [ 15 / 33 ] simplifiying candidate # 2.393 * * * * [progress]: [ 16 / 33 ] simplifiying candidate # 2.393 * * * * [progress]: [ 17 / 33 ] simplifiying candidate # 2.393 * * * * [progress]: [ 18 / 33 ] simplifiying candidate # 2.393 * * * * [progress]: [ 19 / 33 ] simplifiying candidate # 2.393 * * * * [progress]: [ 20 / 33 ] simplifiying candidate # 2.393 * * * * [progress]: [ 21 / 33 ] simplifiying candidate # 2.393 * * * * [progress]: [ 22 / 33 ] simplifiying candidate # 2.393 * * * * [progress]: [ 23 / 33 ] simplifiying candidate # 2.393 * * * * [progress]: [ 24 / 33 ] simplifiying candidate # 2.393 * * * * [progress]: [ 25 / 33 ] simplifiying candidate # 2.393 * * * * [progress]: [ 26 / 33 ] simplifiying candidate # 2.393 * * * * [progress]: [ 27 / 33 ] simplifiying candidate # 2.393 * * * * [progress]: [ 28 / 33 ] simplifiying candidate # 2.393 * * * * [progress]: [ 29 / 33 ] simplifiying candidate # 2.394 * * * * [progress]: [ 30 / 33 ] simplifiying candidate #real (real->posit16 (/ (log1p (- x)) (log1p x)))))> 2.394 * * * * [progress]: [ 31 / 33 ] simplifiying candidate # 2.394 * * * * [progress]: [ 32 / 33 ] simplifiying candidate # 2.394 * * * * [progress]: [ 33 / 33 ] simplifiying candidate # 2.395 * [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))))))))))) 2.396 * * [simplify]: iteration 1: (112 enodes) 2.449 * * [simplify]: iteration 2: (476 enodes) 2.577 * * [simplify]: iteration 3: (1092 enodes) 2.953 * * [simplify]: Extracting #0: cost 37 inf + 0 2.953 * * [simplify]: Extracting #1: cost 253 inf + 1 2.955 * * [simplify]: Extracting #2: cost 713 inf + 4 2.959 * * [simplify]: Extracting #3: cost 922 inf + 4641 2.967 * * [simplify]: Extracting #4: cost 733 inf + 58097 3.008 * * [simplify]: Extracting #5: cost 327 inf + 206558 3.105 * * [simplify]: Extracting #6: cost 55 inf + 362193 3.206 * * [simplify]: Extracting #7: cost 0 inf + 394924 3.319 * * [simplify]: Extracting #8: cost 0 inf + 393429 3.480 * [simplify]: Simplified to: (expm1 (/ (log1p (- x)) (log1p x))) (log1p (/ (log1p (- x)) (log1p x))) (log (/ (log1p (- x)) (log1p x))) (log (/ (log1p (- x)) (log1p x))) (exp (/ (log1p (- x)) (log1p x))) (* (/ (log1p (- x)) (log1p x)) (* (/ (log1p (- x)) (log1p x)) (/ (log1p (- x)) (log1p x)))) (* (cbrt (/ (log1p (- x)) (log1p x))) (cbrt (/ (log1p (- x)) (log1p x)))) (cbrt (/ (log1p (- x)) (log1p x))) (* (/ (log1p (- x)) (log1p x)) (* (/ (log1p (- x)) (log1p x)) (/ (log1p (- x)) (log1p x)))) (sqrt (/ (log1p (- x)) (log1p x))) (sqrt (/ (log1p (- x)) (log1p x))) (- (log1p (- x))) (- (log1p x)) (* (/ (cbrt (log1p (- x))) (cbrt (log1p x))) (/ (cbrt (log1p (- x))) (cbrt (log1p x)))) (/ (cbrt (log1p (- x))) (cbrt (log1p x))) (/ (* (cbrt (log1p (- x))) (cbrt (log1p (- x)))) (sqrt (log1p x))) (/ (cbrt (log1p (- x))) (sqrt (log1p x))) (* (cbrt (log1p (- x))) (cbrt (log1p (- x)))) (/ (cbrt (log1p (- x))) (log1p x)) (/ (sqrt (log1p (- x))) (* (cbrt (log1p x)) (cbrt (log1p x)))) (/ (sqrt (log1p (- x))) (cbrt (log1p x))) (/ (sqrt (log1p (- x))) (sqrt (log1p x))) (/ (sqrt (log1p (- x))) (sqrt (log1p x))) (sqrt (log1p (- x))) (/ (sqrt (log1p (- x))) (log1p x)) (/ (/ 1 (cbrt (log1p x))) (cbrt (log1p x))) (/ (log1p (- x)) (cbrt (log1p x))) (/ 1 (sqrt (log1p x))) (/ (log1p (- x)) (sqrt (log1p x))) 1 (/ (log1p (- x)) (log1p x)) (/ 1 (log1p x)) (/ (log1p x) (log1p (- x))) (/ (log1p (- x)) (* (cbrt (log1p x)) (cbrt (log1p x)))) (/ (log1p (- x)) (sqrt (log1p x))) (log1p (- x)) (/ (log1p x) (cbrt (log1p (- x)))) (/ (log1p x) (sqrt (log1p (- x)))) (/ (log1p x) (log1p (- x))) (real->posit16 (/ (log1p (- x)) (log1p x))) (- (- x) (fma (* x x) 1/2 1)) (- (- (+ (- (/ 2 (* (* x (log x)) (* x (log x)))) (/ (/ (log -1) (* (* x (log x)) (* x (log x)))) (- (log x)))) (+ (/ 2 (* (- x) (log x))) (fma 1/2 (/ (log -1) (* (* x (log x)) (* x (log x)))) 1))) (/ (/ (log -1) x) (* (log x) (log x)))) (/ (log -1) (- (log x)))) (- (+ (/ (/ (log (/ -1 x)) (+ 0 (log x))) (* (+ 0 (log x)) x)) (- (- (/ 1 (* (* (+ 0 (log x)) x) (* (+ 0 (log x)) x))) (/ (log (/ -1 x)) (+ 0 (log x)))) (fma (/ (log (/ -1 x)) (* (* (+ 0 (log x)) x) (* (+ 0 (log x)) x))) 1/2 (+ (/ (/ 1/2 x) (* (+ 0 (log x)) x)) (/ (/ 1 x) (+ 0 (log x))))))) (/ (/ (log (/ -1 x)) (* (* (+ 0 (log x)) x) (* (+ 0 (log x)) x))) (+ 0 (log x)))) 3.483 * * * [progress]: adding candidates to table 3.720 * * [progress]: iteration 3 / 4 3.721 * * * [progress]: picking best candidate 3.729 * * * * [pick]: Picked # 3.729 * * * [progress]: localizing error 3.748 * * * [progress]: generating rewritten candidates 3.748 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 3.759 * * * [progress]: generating series expansions 3.759 * * * * [progress]: [ 1 / 1 ] generating series at (2) 3.759 * [backup-simplify]: Simplify (- (- x) (fma 1/2 (* x x) 1)) into (- (+ x (fma 1/2 (pow x 2) 1))) 3.759 * [approximate]: Taking taylor expansion of (- (+ x (fma 1/2 (pow x 2) 1))) in (x) around 0 3.759 * [taylor]: Taking taylor expansion of (- (+ x (fma 1/2 (pow x 2) 1))) in x 3.759 * [taylor]: Taking taylor expansion of (+ x (fma 1/2 (pow x 2) 1)) in x 3.759 * [taylor]: Taking taylor expansion of x in x 3.759 * [backup-simplify]: Simplify 0 into 0 3.759 * [backup-simplify]: Simplify 1 into 1 3.759 * [taylor]: Taking taylor expansion of (fma 1/2 (pow x 2) 1) in x 3.759 * [taylor]: Rewrote expression to (+ (* 1/2 (pow x 2)) 1) 3.759 * [taylor]: Taking taylor expansion of (* 1/2 (pow x 2)) in x 3.759 * [taylor]: Taking taylor expansion of 1/2 in x 3.759 * [backup-simplify]: Simplify 1/2 into 1/2 3.759 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.759 * [taylor]: Taking taylor expansion of x in x 3.759 * [backup-simplify]: Simplify 0 into 0 3.759 * [backup-simplify]: Simplify 1 into 1 3.759 * [taylor]: Taking taylor expansion of 1 in x 3.760 * [backup-simplify]: Simplify 1 into 1 3.760 * [taylor]: Taking taylor expansion of (- (+ x (fma 1/2 (pow x 2) 1))) in x 3.760 * [taylor]: Taking taylor expansion of (+ x (fma 1/2 (pow x 2) 1)) in x 3.760 * [taylor]: Taking taylor expansion of x in x 3.760 * [backup-simplify]: Simplify 0 into 0 3.760 * [backup-simplify]: Simplify 1 into 1 3.760 * [taylor]: Taking taylor expansion of (fma 1/2 (pow x 2) 1) in x 3.760 * [taylor]: Rewrote expression to (+ (* 1/2 (pow x 2)) 1) 3.760 * [taylor]: Taking taylor expansion of (* 1/2 (pow x 2)) in x 3.760 * [taylor]: Taking taylor expansion of 1/2 in x 3.760 * [backup-simplify]: Simplify 1/2 into 1/2 3.760 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.760 * [taylor]: Taking taylor expansion of x in x 3.760 * [backup-simplify]: Simplify 0 into 0 3.760 * [backup-simplify]: Simplify 1 into 1 3.760 * [taylor]: Taking taylor expansion of 1 in x 3.760 * [backup-simplify]: Simplify 1 into 1 3.760 * [backup-simplify]: Simplify (+ 0 1) into 1 3.761 * [backup-simplify]: Simplify (+ 0 1) into 1 3.761 * [backup-simplify]: Simplify (- 1) into -1 3.761 * [backup-simplify]: Simplify -1 into -1 3.761 * [backup-simplify]: Simplify (+ 0 0) into 0 3.761 * [backup-simplify]: Simplify (+ 1 0) into 1 3.762 * [backup-simplify]: Simplify (- 1) into -1 3.762 * [backup-simplify]: Simplify -1 into -1 3.762 * [backup-simplify]: Simplify (* 1 1) into 1 3.762 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 3.763 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 3.763 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 3.763 * [backup-simplify]: Simplify (- 1/2) into -1/2 3.763 * [backup-simplify]: Simplify -1/2 into -1/2 3.763 * [backup-simplify]: Simplify (+ (* -1/2 (pow x 2)) (+ (* -1 x) -1)) into (- (+ x (+ (* 1/2 (pow x 2)) 1))) 3.763 * [backup-simplify]: Simplify (- (- (/ 1 x)) (fma 1/2 (* (/ 1 x) (/ 1 x)) 1)) into (- (+ (fma 1/2 (/ 1 (pow x 2)) 1) (/ 1 x))) 3.763 * [approximate]: Taking taylor expansion of (- (+ (fma 1/2 (/ 1 (pow x 2)) 1) (/ 1 x))) in (x) around 0 3.763 * [taylor]: Taking taylor expansion of (- (+ (fma 1/2 (/ 1 (pow x 2)) 1) (/ 1 x))) in x 3.763 * [taylor]: Taking taylor expansion of (+ (fma 1/2 (/ 1 (pow x 2)) 1) (/ 1 x)) in x 3.763 * [taylor]: Taking taylor expansion of (fma 1/2 (/ 1 (pow x 2)) 1) in x 3.764 * [taylor]: Rewrote expression to (+ (* 1/2 (/ 1 (pow x 2))) 1) 3.764 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow x 2))) in x 3.764 * [taylor]: Taking taylor expansion of 1/2 in x 3.764 * [backup-simplify]: Simplify 1/2 into 1/2 3.764 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.764 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.764 * [taylor]: Taking taylor expansion of x in x 3.764 * [backup-simplify]: Simplify 0 into 0 3.764 * [backup-simplify]: Simplify 1 into 1 3.764 * [backup-simplify]: Simplify (* 1 1) into 1 3.764 * [backup-simplify]: Simplify (/ 1 1) into 1 3.764 * [taylor]: Taking taylor expansion of 1 in x 3.764 * [backup-simplify]: Simplify 1 into 1 3.764 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.764 * [taylor]: Taking taylor expansion of x in x 3.764 * [backup-simplify]: Simplify 0 into 0 3.764 * [backup-simplify]: Simplify 1 into 1 3.765 * [backup-simplify]: Simplify (/ 1 1) into 1 3.765 * [taylor]: Taking taylor expansion of (- (+ (fma 1/2 (/ 1 (pow x 2)) 1) (/ 1 x))) in x 3.765 * [taylor]: Taking taylor expansion of (+ (fma 1/2 (/ 1 (pow x 2)) 1) (/ 1 x)) in x 3.765 * [taylor]: Taking taylor expansion of (fma 1/2 (/ 1 (pow x 2)) 1) in x 3.765 * [taylor]: Rewrote expression to (+ (* 1/2 (/ 1 (pow x 2))) 1) 3.765 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow x 2))) in x 3.765 * [taylor]: Taking taylor expansion of 1/2 in x 3.765 * [backup-simplify]: Simplify 1/2 into 1/2 3.765 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.765 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.765 * [taylor]: Taking taylor expansion of x in x 3.765 * [backup-simplify]: Simplify 0 into 0 3.765 * [backup-simplify]: Simplify 1 into 1 3.765 * [backup-simplify]: Simplify (* 1 1) into 1 3.765 * [backup-simplify]: Simplify (/ 1 1) into 1 3.765 * [taylor]: Taking taylor expansion of 1 in x 3.765 * [backup-simplify]: Simplify 1 into 1 3.765 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.765 * [taylor]: Taking taylor expansion of x in x 3.765 * [backup-simplify]: Simplify 0 into 0 3.765 * [backup-simplify]: Simplify 1 into 1 3.766 * [backup-simplify]: Simplify (/ 1 1) into 1 3.766 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 3.766 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 3.766 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 3.767 * [backup-simplify]: Simplify (- 1/2) into -1/2 3.767 * [backup-simplify]: Simplify -1/2 into -1/2 3.767 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.768 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.768 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.768 * [backup-simplify]: Simplify (+ 0 0) into 0 3.769 * [backup-simplify]: Simplify (+ 0 1) into 1 3.769 * [backup-simplify]: Simplify (- 1) into -1 3.769 * [backup-simplify]: Simplify -1 into -1 3.769 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.770 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.771 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 3.771 * [backup-simplify]: Simplify (+ 0 1) into 1 3.771 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.772 * [backup-simplify]: Simplify (+ 1 0) into 1 3.772 * [backup-simplify]: Simplify (- 1) into -1 3.772 * [backup-simplify]: Simplify -1 into -1 3.772 * [backup-simplify]: Simplify (+ -1 (+ (* -1 (/ 1 (/ 1 x))) (* -1/2 (pow (/ 1 (/ 1 x)) 2)))) into (- (+ x (+ (* 1/2 (pow x 2)) 1))) 3.772 * [backup-simplify]: Simplify (- (- (/ 1 (- x))) (fma 1/2 (* (/ 1 (- x)) (/ 1 (- x))) 1)) into (- (/ 1 x) (fma 1/2 (/ 1 (pow x 2)) 1)) 3.772 * [approximate]: Taking taylor expansion of (- (/ 1 x) (fma 1/2 (/ 1 (pow x 2)) 1)) in (x) around 0 3.772 * [taylor]: Taking taylor expansion of (- (/ 1 x) (fma 1/2 (/ 1 (pow x 2)) 1)) in x 3.772 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.772 * [taylor]: Taking taylor expansion of x in x 3.772 * [backup-simplify]: Simplify 0 into 0 3.772 * [backup-simplify]: Simplify 1 into 1 3.773 * [backup-simplify]: Simplify (/ 1 1) into 1 3.773 * [taylor]: Taking taylor expansion of (fma 1/2 (/ 1 (pow x 2)) 1) in x 3.773 * [taylor]: Rewrote expression to (+ (* 1/2 (/ 1 (pow x 2))) 1) 3.773 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow x 2))) in x 3.773 * [taylor]: Taking taylor expansion of 1/2 in x 3.773 * [backup-simplify]: Simplify 1/2 into 1/2 3.773 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.773 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.773 * [taylor]: Taking taylor expansion of x in x 3.773 * [backup-simplify]: Simplify 0 into 0 3.773 * [backup-simplify]: Simplify 1 into 1 3.773 * [backup-simplify]: Simplify (* 1 1) into 1 3.773 * [backup-simplify]: Simplify (/ 1 1) into 1 3.773 * [taylor]: Taking taylor expansion of 1 in x 3.773 * [backup-simplify]: Simplify 1 into 1 3.773 * [taylor]: Taking taylor expansion of (- (/ 1 x) (fma 1/2 (/ 1 (pow x 2)) 1)) in x 3.773 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.773 * [taylor]: Taking taylor expansion of x in x 3.773 * [backup-simplify]: Simplify 0 into 0 3.773 * [backup-simplify]: Simplify 1 into 1 3.774 * [backup-simplify]: Simplify (/ 1 1) into 1 3.774 * [taylor]: Taking taylor expansion of (fma 1/2 (/ 1 (pow x 2)) 1) in x 3.774 * [taylor]: Rewrote expression to (+ (* 1/2 (/ 1 (pow x 2))) 1) 3.774 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow x 2))) in x 3.774 * [taylor]: Taking taylor expansion of 1/2 in x 3.774 * [backup-simplify]: Simplify 1/2 into 1/2 3.774 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.774 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.774 * [taylor]: Taking taylor expansion of x in x 3.774 * [backup-simplify]: Simplify 0 into 0 3.774 * [backup-simplify]: Simplify 1 into 1 3.774 * [backup-simplify]: Simplify (* 1 1) into 1 3.774 * [backup-simplify]: Simplify (/ 1 1) into 1 3.774 * [taylor]: Taking taylor expansion of 1 in x 3.774 * [backup-simplify]: Simplify 1 into 1 3.775 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 3.775 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 3.775 * [backup-simplify]: Simplify (- 1/2) into -1/2 3.776 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 3.776 * [backup-simplify]: Simplify -1/2 into -1/2 3.776 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.776 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.777 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.777 * [backup-simplify]: Simplify (+ 0 0) into 0 3.777 * [backup-simplify]: Simplify (- 0) into 0 3.778 * [backup-simplify]: Simplify (+ 1 0) into 1 3.778 * [backup-simplify]: Simplify 1 into 1 3.778 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.779 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.779 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.780 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 3.780 * [backup-simplify]: Simplify (+ 0 1) into 1 3.780 * [backup-simplify]: Simplify (- 1) into -1 3.781 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.781 * [backup-simplify]: Simplify -1 into -1 3.781 * [backup-simplify]: Simplify (+ -1 (+ (* 1 (/ 1 (/ 1 (- x)))) (* -1/2 (pow (/ 1 (/ 1 (- x))) 2)))) into (- (+ x (+ (* 1/2 (pow x 2)) 1))) 3.781 * * * [progress]: simplifying candidates 3.781 * * * * [progress]: [ 1 / 64 ] simplifiying candidate # 3.781 * * * * [progress]: [ 2 / 64 ] simplifiying candidate # 3.781 * * * * [progress]: [ 3 / 64 ] simplifiying candidate # 3.781 * * * * [progress]: [ 4 / 64 ] simplifiying candidate # 3.781 * * * * [progress]: [ 5 / 64 ] simplifiying candidate # 3.781 * * * * [progress]: [ 6 / 64 ] simplifiying candidate # 3.781 * * * * [progress]: [ 7 / 64 ] simplifiying candidate # 3.781 * * * * [progress]: [ 8 / 64 ] simplifiying candidate # 3.781 * * * * [progress]: [ 9 / 64 ] simplifiying candidate # 3.782 * * * * [progress]: [ 10 / 64 ] simplifiying candidate # 3.782 * * * * [progress]: [ 11 / 64 ] simplifiying candidate # 3.782 * * * * [progress]: [ 12 / 64 ] simplifiying candidate # 3.782 * * * * [progress]: [ 13 / 64 ] simplifiying candidate # 3.782 * * * * [progress]: [ 14 / 64 ] simplifiying candidate # 3.782 * * * * [progress]: [ 15 / 64 ] simplifiying candidate # 3.782 * * * * [progress]: [ 16 / 64 ] simplifiying candidate # 3.782 * * * * [progress]: [ 17 / 64 ] simplifiying candidate # 3.782 * * * * [progress]: [ 18 / 64 ] simplifiying candidate # 3.782 * * * * [progress]: [ 19 / 64 ] simplifiying candidate # 3.782 * * * * [progress]: [ 20 / 64 ] simplifiying candidate # 3.782 * * * * [progress]: [ 21 / 64 ] simplifiying candidate # 3.782 * * * * [progress]: [ 22 / 64 ] simplifiying candidate # 3.782 * * * * [progress]: [ 23 / 64 ] simplifiying candidate # 3.782 * * * * [progress]: [ 24 / 64 ] simplifiying candidate # 3.782 * * * * [progress]: [ 25 / 64 ] simplifiying candidate # 3.782 * * * * [progress]: [ 26 / 64 ] simplifiying candidate # 3.782 * * * * [progress]: [ 27 / 64 ] simplifiying candidate # 3.782 * * * * [progress]: [ 28 / 64 ] simplifiying candidate # 3.782 * * * * [progress]: [ 29 / 64 ] simplifiying candidate # 3.782 * * * * [progress]: [ 30 / 64 ] simplifiying candidate # 3.782 * * * * [progress]: [ 31 / 64 ] simplifiying candidate # 3.782 * * * * [progress]: [ 32 / 64 ] simplifiying candidate # 3.783 * * * * [progress]: [ 33 / 64 ] simplifiying candidate # 3.783 * * * * [progress]: [ 34 / 64 ] simplifiying candidate # 3.783 * * * * [progress]: [ 35 / 64 ] simplifiying candidate # 3.783 * * * * [progress]: [ 36 / 64 ] simplifiying candidate # 3.783 * * * * [progress]: [ 37 / 64 ] simplifiying candidate # 3.783 * * * * [progress]: [ 38 / 64 ] simplifiying candidate # 3.783 * * * * [progress]: [ 39 / 64 ] simplifiying candidate # 3.783 * * * * [progress]: [ 40 / 64 ] simplifiying candidate # 3.783 * * * * [progress]: [ 41 / 64 ] simplifiying candidate # 3.783 * * * * [progress]: [ 42 / 64 ] simplifiying candidate # 3.783 * * * * [progress]: [ 43 / 64 ] simplifiying candidate # 3.783 * * * * [progress]: [ 44 / 64 ] simplifiying candidate # 3.783 * * * * [progress]: [ 45 / 64 ] simplifiying candidate # 3.783 * * * * [progress]: [ 46 / 64 ] simplifiying candidate # 3.783 * * * * [progress]: [ 47 / 64 ] simplifiying candidate # 3.783 * * * * [progress]: [ 48 / 64 ] simplifiying candidate # 3.783 * * * * [progress]: [ 49 / 64 ] simplifiying candidate # 3.783 * * * * [progress]: [ 50 / 64 ] simplifiying candidate # 3.783 * * * * [progress]: [ 51 / 64 ] simplifiying candidate # 3.783 * * * * [progress]: [ 52 / 64 ] simplifiying candidate # 3.783 * * * * [progress]: [ 53 / 64 ] simplifiying candidate # 3.783 * * * * [progress]: [ 54 / 64 ] simplifiying candidate # 3.783 * * * * [progress]: [ 55 / 64 ] simplifiying candidate # 3.783 * * * * [progress]: [ 56 / 64 ] simplifiying candidate # 3.783 * * * * [progress]: [ 57 / 64 ] simplifiying candidate # 3.783 * * * * [progress]: [ 58 / 64 ] simplifiying candidate # 3.783 * * * * [progress]: [ 59 / 64 ] simplifiying candidate # 3.784 * * * * [progress]: [ 60 / 64 ] simplifiying candidate # 3.784 * * * * [progress]: [ 61 / 64 ] simplifiying candidate #real (real->posit16 (- (- x) (fma 1/2 (* x x) 1)))))> 3.784 * * * * [progress]: [ 62 / 64 ] simplifiying candidate # 3.784 * * * * [progress]: [ 63 / 64 ] simplifiying candidate # 3.784 * * * * [progress]: [ 64 / 64 ] simplifiying candidate # 3.785 * [simplify]: Simplifying: (fma (* (cbrt (- x)) (cbrt (- x))) (cbrt (- x)) (- (* (cbrt (fma 1/2 (* x x) 1)) (* (cbrt (fma 1/2 (* x x) 1)) (cbrt (fma 1/2 (* x x) 1)))))) (fma (- (cbrt (fma 1/2 (* x x) 1))) (* (cbrt (fma 1/2 (* x x) 1)) (cbrt (fma 1/2 (* x x) 1))) (* (cbrt (fma 1/2 (* x x) 1)) (* (cbrt (fma 1/2 (* x x) 1)) (cbrt (fma 1/2 (* x x) 1))))) (fma (* (cbrt (- x)) (cbrt (- x))) (cbrt (- x)) (- (* (sqrt (fma 1/2 (* x x) 1)) (sqrt (fma 1/2 (* x x) 1))))) (fma (- (sqrt (fma 1/2 (* x x) 1))) (sqrt (fma 1/2 (* x x) 1)) (* (sqrt (fma 1/2 (* x x) 1)) (sqrt (fma 1/2 (* x x) 1)))) (fma (* (cbrt (- x)) (cbrt (- x))) (cbrt (- x)) (- (* (fma 1/2 (* x x) 1) 1))) (fma (- (fma 1/2 (* x x) 1)) 1 (* (fma 1/2 (* x x) 1) 1)) (fma (sqrt (- x)) (sqrt (- x)) (- (* (cbrt (fma 1/2 (* x x) 1)) (* (cbrt (fma 1/2 (* x x) 1)) (cbrt (fma 1/2 (* x x) 1)))))) (fma (- (cbrt (fma 1/2 (* x x) 1))) (* (cbrt (fma 1/2 (* x x) 1)) (cbrt (fma 1/2 (* x x) 1))) (* (cbrt (fma 1/2 (* x x) 1)) (* (cbrt (fma 1/2 (* x x) 1)) (cbrt (fma 1/2 (* x x) 1))))) (fma (sqrt (- x)) (sqrt (- x)) (- (* (sqrt (fma 1/2 (* x x) 1)) (sqrt (fma 1/2 (* x x) 1))))) (fma (- (sqrt (fma 1/2 (* x x) 1))) (sqrt (fma 1/2 (* x x) 1)) (* (sqrt (fma 1/2 (* x x) 1)) (sqrt (fma 1/2 (* x x) 1)))) (fma (sqrt (- x)) (sqrt (- x)) (- (* (fma 1/2 (* x x) 1) 1))) (fma (- (fma 1/2 (* x x) 1)) 1 (* (fma 1/2 (* x x) 1) 1)) (fma 1 (- x) (- (* (cbrt (fma 1/2 (* x x) 1)) (* (cbrt (fma 1/2 (* x x) 1)) (cbrt (fma 1/2 (* x x) 1)))))) (fma (- (cbrt (fma 1/2 (* x x) 1))) (* (cbrt (fma 1/2 (* x x) 1)) (cbrt (fma 1/2 (* x x) 1))) (* (cbrt (fma 1/2 (* x x) 1)) (* (cbrt (fma 1/2 (* x x) 1)) (cbrt (fma 1/2 (* x x) 1))))) (fma 1 (- x) (- (* (sqrt (fma 1/2 (* x x) 1)) (sqrt (fma 1/2 (* x x) 1))))) (fma (- (sqrt (fma 1/2 (* x x) 1))) (sqrt (fma 1/2 (* x x) 1)) (* (sqrt (fma 1/2 (* x x) 1)) (sqrt (fma 1/2 (* x x) 1)))) (fma 1 (- x) (- (* (fma 1/2 (* x x) 1) 1))) (fma (- (fma 1/2 (* x x) 1)) 1 (* (fma 1/2 (* x x) 1) 1)) (fma -1 x (- (* (cbrt (fma 1/2 (* x x) 1)) (* (cbrt (fma 1/2 (* x x) 1)) (cbrt (fma 1/2 (* x x) 1)))))) (fma (- (cbrt (fma 1/2 (* x x) 1))) (* (cbrt (fma 1/2 (* x x) 1)) (cbrt (fma 1/2 (* x x) 1))) (* (cbrt (fma 1/2 (* x x) 1)) (* (cbrt (fma 1/2 (* x x) 1)) (cbrt (fma 1/2 (* x x) 1))))) (fma -1 x (- (* (sqrt (fma 1/2 (* x x) 1)) (sqrt (fma 1/2 (* x x) 1))))) (fma (- (sqrt (fma 1/2 (* x x) 1))) (sqrt (fma 1/2 (* x x) 1)) (* (sqrt (fma 1/2 (* x x) 1)) (sqrt (fma 1/2 (* x x) 1)))) (fma -1 x (- (* (fma 1/2 (* x x) 1) 1))) (fma (- (fma 1/2 (* x x) 1)) 1 (* (fma 1/2 (* x x) 1) 1)) (fma (- (* (cbrt x) (cbrt x))) (cbrt x) (- (* (cbrt (fma 1/2 (* x x) 1)) (* (cbrt (fma 1/2 (* x x) 1)) (cbrt (fma 1/2 (* x x) 1)))))) (fma (- (cbrt (fma 1/2 (* x x) 1))) (* (cbrt (fma 1/2 (* x x) 1)) (cbrt (fma 1/2 (* x x) 1))) (* (cbrt (fma 1/2 (* x x) 1)) (* (cbrt (fma 1/2 (* x x) 1)) (cbrt (fma 1/2 (* x x) 1))))) (fma (- (* (cbrt x) (cbrt x))) (cbrt x) (- (* (sqrt (fma 1/2 (* x x) 1)) (sqrt (fma 1/2 (* x x) 1))))) (fma (- (sqrt (fma 1/2 (* x x) 1))) (sqrt (fma 1/2 (* x x) 1)) (* (sqrt (fma 1/2 (* x x) 1)) (sqrt (fma 1/2 (* x x) 1)))) (fma (- (* (cbrt x) (cbrt x))) (cbrt x) (- (* (fma 1/2 (* x x) 1) 1))) (fma (- (fma 1/2 (* x x) 1)) 1 (* (fma 1/2 (* x x) 1) 1)) (fma (- (sqrt x)) (sqrt x) (- (* (cbrt (fma 1/2 (* x x) 1)) (* (cbrt (fma 1/2 (* x x) 1)) (cbrt (fma 1/2 (* x x) 1)))))) (fma (- (cbrt (fma 1/2 (* x x) 1))) (* (cbrt (fma 1/2 (* x x) 1)) (cbrt (fma 1/2 (* x x) 1))) (* (cbrt (fma 1/2 (* x x) 1)) (* (cbrt (fma 1/2 (* x x) 1)) (cbrt (fma 1/2 (* x x) 1))))) (fma (- (sqrt x)) (sqrt x) (- (* (sqrt (fma 1/2 (* x x) 1)) (sqrt (fma 1/2 (* x x) 1))))) (fma (- (sqrt (fma 1/2 (* x x) 1))) (sqrt (fma 1/2 (* x x) 1)) (* (sqrt (fma 1/2 (* x x) 1)) (sqrt (fma 1/2 (* x x) 1)))) (fma (- (sqrt x)) (sqrt x) (- (* (fma 1/2 (* x x) 1) 1))) (fma (- (fma 1/2 (* x x) 1)) 1 (* (fma 1/2 (* x x) 1) 1)) (fma (- 1) x (- (* (cbrt (fma 1/2 (* x x) 1)) (* (cbrt (fma 1/2 (* x x) 1)) (cbrt (fma 1/2 (* x x) 1)))))) (fma (- (cbrt (fma 1/2 (* x x) 1))) (* (cbrt (fma 1/2 (* x x) 1)) (cbrt (fma 1/2 (* x x) 1))) (* (cbrt (fma 1/2 (* x x) 1)) (* (cbrt (fma 1/2 (* x x) 1)) (cbrt (fma 1/2 (* x x) 1))))) (fma (- 1) x (- (* (sqrt (fma 1/2 (* x x) 1)) (sqrt (fma 1/2 (* x x) 1))))) (fma (- (sqrt (fma 1/2 (* x x) 1))) (sqrt (fma 1/2 (* x x) 1)) (* (sqrt (fma 1/2 (* x x) 1)) (sqrt (fma 1/2 (* x x) 1)))) (fma (- 1) x (- (* (fma 1/2 (* x x) 1) 1))) (fma (- (fma 1/2 (* x x) 1)) 1 (* (fma 1/2 (* x x) 1) 1)) (fma (* (cbrt x) (cbrt x)) (- (cbrt x)) (- (* (cbrt (fma 1/2 (* x x) 1)) (* (cbrt (fma 1/2 (* x x) 1)) (cbrt (fma 1/2 (* x x) 1)))))) (fma (- (cbrt (fma 1/2 (* x x) 1))) (* (cbrt (fma 1/2 (* x x) 1)) (cbrt (fma 1/2 (* x x) 1))) (* (cbrt (fma 1/2 (* x x) 1)) (* (cbrt (fma 1/2 (* x x) 1)) (cbrt (fma 1/2 (* x x) 1))))) (fma (* (cbrt x) (cbrt x)) (- (cbrt x)) (- (* (sqrt (fma 1/2 (* x x) 1)) (sqrt (fma 1/2 (* x x) 1))))) (fma (- (sqrt (fma 1/2 (* x x) 1))) (sqrt (fma 1/2 (* x x) 1)) (* (sqrt (fma 1/2 (* x x) 1)) (sqrt (fma 1/2 (* x x) 1)))) (fma (* (cbrt x) (cbrt x)) (- (cbrt x)) (- (* (fma 1/2 (* x x) 1) 1))) (fma (- (fma 1/2 (* x x) 1)) 1 (* (fma 1/2 (* x x) 1) 1)) (fma (sqrt x) (- (sqrt x)) (- (* (cbrt (fma 1/2 (* x x) 1)) (* (cbrt (fma 1/2 (* x x) 1)) (cbrt (fma 1/2 (* x x) 1)))))) (fma (- (cbrt (fma 1/2 (* x x) 1))) (* (cbrt (fma 1/2 (* x x) 1)) (cbrt (fma 1/2 (* x x) 1))) (* (cbrt (fma 1/2 (* x x) 1)) (* (cbrt (fma 1/2 (* x x) 1)) (cbrt (fma 1/2 (* x x) 1))))) (fma (sqrt x) (- (sqrt x)) (- (* (sqrt (fma 1/2 (* x x) 1)) (sqrt (fma 1/2 (* x x) 1))))) (fma (- (sqrt (fma 1/2 (* x x) 1))) (sqrt (fma 1/2 (* x x) 1)) (* (sqrt (fma 1/2 (* x x) 1)) (sqrt (fma 1/2 (* x x) 1)))) (fma (sqrt x) (- (sqrt x)) (- (* (fma 1/2 (* x x) 1) 1))) (fma (- (fma 1/2 (* x x) 1)) 1 (* (fma 1/2 (* x x) 1) 1)) (fma 1 (- x) (- (* (cbrt (fma 1/2 (* x x) 1)) (* (cbrt (fma 1/2 (* x x) 1)) (cbrt (fma 1/2 (* x x) 1)))))) (fma (- (cbrt (fma 1/2 (* x x) 1))) (* (cbrt (fma 1/2 (* x x) 1)) (cbrt (fma 1/2 (* x x) 1))) (* (cbrt (fma 1/2 (* x x) 1)) (* (cbrt (fma 1/2 (* x x) 1)) (cbrt (fma 1/2 (* x x) 1))))) (fma 1 (- x) (- (* (sqrt (fma 1/2 (* x x) 1)) (sqrt (fma 1/2 (* x x) 1))))) (fma (- (sqrt (fma 1/2 (* x x) 1))) (sqrt (fma 1/2 (* x x) 1)) (* (sqrt (fma 1/2 (* x x) 1)) (sqrt (fma 1/2 (* x x) 1)))) (fma 1 (- x) (- (* (fma 1/2 (* x x) 1) 1))) (fma (- (fma 1/2 (* x x) 1)) 1 (* (fma 1/2 (* x x) 1) 1)) (expm1 (- (- x) (fma 1/2 (* x x) 1))) (log1p (- (- x) (fma 1/2 (* x x) 1))) (- (fma 1/2 (* x x) 1)) (- (fma 1/2 (* x x) 1)) (- (fma 1/2 (* x x) 1)) (- (fma 1/2 (* x x) 1)) (- (fma 1/2 (* x x) 1)) (- (fma 1/2 (* x x) 1)) (- (fma 1/2 (* x x) 1)) (- (fma 1/2 (* x x) 1)) (- (fma 1/2 (* x x) 1)) (- (fma 1/2 (* x x) 1)) (/ (/ 1 (exp x)) (exp (fma 1/2 (* x x) 1))) (/ (exp (- x)) (exp (fma 1/2 (* x x) 1))) (log (- (- x) (fma 1/2 (* x x) 1))) (exp (- (- x) (fma 1/2 (* x x) 1))) (* (cbrt (- (- x) (fma 1/2 (* x x) 1))) (cbrt (- (- x) (fma 1/2 (* x x) 1)))) (cbrt (- (- x) (fma 1/2 (* x x) 1))) (* (* (- (- x) (fma 1/2 (* x x) 1)) (- (- x) (fma 1/2 (* x x) 1))) (- (- x) (fma 1/2 (* x x) 1))) (sqrt (- (- x) (fma 1/2 (* x x) 1))) (sqrt (- (- x) (fma 1/2 (* x x) 1))) (- (pow (- x) 3) (pow (fma 1/2 (* x x) 1) 3)) (+ (* (- x) (- x)) (+ (* (fma 1/2 (* x x) 1) (fma 1/2 (* x x) 1)) (* (- x) (fma 1/2 (* x x) 1)))) (- (fma 1/2 (* x x) 1)) (- (* (- x) (- x)) (* (fma 1/2 (* x x) 1) (fma 1/2 (* x x) 1))) (+ (- x) (fma 1/2 (* x x) 1)) (+ (sqrt (- x)) (sqrt (fma 1/2 (* x x) 1))) (- (sqrt (- x)) (sqrt (fma 1/2 (* x x) 1))) (- (- x) (fma 1/2 (* x x) 1)) (- (- x) (fma 1/2 (* x x) 1)) (- (- x) (* 1/2 (* x x))) (+ x (fma 1/2 (* x x) 1)) (- (fma 1/2 (* x x) 1)) (real->posit16 (- (- x) (fma 1/2 (* x x) 1))) (- (+ x (+ (* 1/2 (pow x 2)) 1))) (- (+ x (+ (* 1/2 (pow x 2)) 1))) (- (+ x (+ (* 1/2 (pow x 2)) 1))) 3.786 * * [simplify]: iteration 1: (98 enodes) 3.820 * * [simplify]: iteration 2: (372 enodes) 3.914 * * [simplify]: iteration 3: (700 enodes) 4.227 * * [simplify]: iteration 4: (1784 enodes) 7.385 * * [simplify]: Extracting #0: cost 21 inf + 0 7.387 * * [simplify]: Extracting #1: cost 350 inf + 1 7.400 * * [simplify]: Extracting #2: cost 1474 inf + 755 7.437 * * [simplify]: Extracting #3: cost 1365 inf + 49129 7.559 * * [simplify]: Extracting #4: cost 478 inf + 282454 7.729 * * [simplify]: Extracting #5: cost 56 inf + 451601 7.858 * * [simplify]: Extracting #6: cost 0 inf + 479978 8.007 * [simplify]: Simplified to: (- -1 (fma x (* 1/2 x) x)) 0 (- -1 (fma x (* 1/2 x) x)) 0 (- -1 (fma x (* 1/2 x) x)) 0 (- -1 (fma x (* 1/2 x) x)) 0 (- -1 (fma x (* 1/2 x) x)) 0 (- -1 (fma x (* 1/2 x) x)) 0 (- -1 (fma x (* 1/2 x) x)) 0 (- -1 (fma x (* 1/2 x) x)) 0 (- -1 (fma x (* 1/2 x) x)) 0 (- -1 (fma x (* 1/2 x) x)) 0 (- -1 (fma x (* 1/2 x) x)) 0 (- -1 (fma x (* 1/2 x) x)) 0 (- (fma (* x x) -1/2 -1) (* (* (cbrt x) (cbrt x)) (cbrt x))) 0 (- (fma (* x x) -1/2 -1) (* (* (cbrt x) (cbrt x)) (cbrt x))) 0 (- (fma (* x x) -1/2 -1) (* (* (cbrt x) (cbrt x)) (cbrt x))) 0 (- -1 (fma x (* 1/2 x) x)) 0 (- -1 (fma x (* 1/2 x) x)) 0 (- -1 (fma x (* 1/2 x) x)) 0 (- -1 (fma x (* 1/2 x) x)) 0 (- -1 (fma x (* 1/2 x) x)) 0 (- -1 (fma x (* 1/2 x) x)) 0 (- (fma (* x x) -1/2 -1) (* (* (cbrt x) (cbrt x)) (cbrt x))) 0 (- (fma (* x x) -1/2 -1) (* (* (cbrt x) (cbrt x)) (cbrt x))) 0 (- (fma (* x x) -1/2 -1) (* (* (cbrt x) (cbrt x)) (cbrt x))) 0 (- -1 (fma x (* 1/2 x) x)) 0 (- -1 (fma x (* 1/2 x) x)) 0 (- -1 (fma x (* 1/2 x) x)) 0 (- -1 (fma x (* 1/2 x) x)) 0 (- -1 (fma x (* 1/2 x) x)) 0 (- -1 (fma x (* 1/2 x) x)) 0 (expm1 (- -1 (fma x (* 1/2 x) x))) (log1p (- -1 (fma x (* 1/2 x) x))) (fma (* x x) -1/2 -1) (fma (* x x) -1/2 -1) (fma (* x x) -1/2 -1) (fma (* x x) -1/2 -1) (fma (* x x) -1/2 -1) (fma (* x x) -1/2 -1) (fma (* x x) -1/2 -1) (fma (* x x) -1/2 -1) (fma (* x x) -1/2 -1) (fma (* x x) -1/2 -1) (exp (- -1 (fma x (* 1/2 x) x))) (exp (- -1 (fma x (* 1/2 x) x))) (log (- -1 (fma x (* 1/2 x) x))) (exp (- -1 (fma x (* 1/2 x) x))) (* (cbrt (- -1 (fma x (* 1/2 x) x))) (cbrt (- -1 (fma x (* 1/2 x) x)))) (cbrt (- -1 (fma x (* 1/2 x) x))) (- (* (fma (fma 1/2 x 1) x 1) (* (fma (fma 1/2 x 1) x 1) (fma (fma 1/2 x 1) x 1)))) (sqrt (- -1 (fma x (* 1/2 x) x))) (sqrt (- -1 (fma x (* 1/2 x) x))) (- (fma (* (fma x (* 1/2 x) 1) (fma x (* 1/2 x) 1)) (fma x (* 1/2 x) 1) (* x (* x x)))) (fma (fma x (* 1/2 x) 1) (- x) (fma (fma x (* 1/2 x) 1) (fma x (* 1/2 x) 1) (* x x))) (fma (* x x) -1/2 -1) (- (* x x) (* (fma x (* 1/2 x) 1) (fma x (* 1/2 x) 1))) (fma x (fma x 1/2 -1) 1) (+ (sqrt (fma x (* 1/2 x) 1)) (sqrt (- x))) (- (sqrt (- x)) (sqrt (fma x (* 1/2 x) 1))) (- -1 (fma x (* 1/2 x) x)) (- -1 (fma x (* 1/2 x) x)) (- (* (* x -1/2) x) x) (fma (fma 1/2 x 1) x 1) (fma (* x x) -1/2 -1) (real->posit16 (- -1 (fma x (* 1/2 x) x))) (- -1 (fma x (* 1/2 x) x)) (- -1 (fma x (* 1/2 x) x)) (- -1 (fma x (* 1/2 x) x)) 8.017 * * * [progress]: adding candidates to table 8.477 * * [progress]: iteration 4 / 4 8.477 * * * [progress]: picking best candidate 8.480 * * * * [pick]: Picked # 8.480 * * * [progress]: localizing error 8.498 * * * [progress]: generating rewritten candidates 8.498 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2) 8.504 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 8.539 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 8.554 * * * [progress]: generating series expansions 8.554 * * * * [progress]: [ 1 / 3 ] generating series at (2 2) 8.554 * [backup-simplify]: Simplify (/ (log1p (- x)) (sqrt (log1p x))) into (* (log1p (- x)) (sqrt (/ 1 (log1p x)))) 8.554 * [approximate]: Taking taylor expansion of (* (log1p (- x)) (sqrt (/ 1 (log1p x)))) in (x) around 0 8.554 * [taylor]: Taking taylor expansion of (* (log1p (- x)) (sqrt (/ 1 (log1p x)))) in x 8.554 * [taylor]: Taking taylor expansion of (log1p (- x)) in x 8.554 * [taylor]: Rewrote expression to (log (+ 1 (- x))) 8.554 * [taylor]: Taking taylor expansion of (+ 1 (- x)) in x 8.554 * [taylor]: Taking taylor expansion of 1 in x 8.554 * [backup-simplify]: Simplify 1 into 1 8.554 * [taylor]: Taking taylor expansion of (- x) in x 8.554 * [taylor]: Taking taylor expansion of x in x 8.554 * [backup-simplify]: Simplify 0 into 0 8.554 * [backup-simplify]: Simplify 1 into 1 8.555 * [backup-simplify]: Simplify (- 0) into 0 8.555 * [backup-simplify]: Simplify (+ 1 0) into 1 8.556 * [backup-simplify]: Simplify (log 1) into 0 8.556 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (log1p x))) in x 8.556 * [taylor]: Taking taylor expansion of (/ 1 (log1p x)) in x 8.556 * [taylor]: Taking taylor expansion of (log1p x) in x 8.556 * [taylor]: Rewrote expression to (log (+ 1 x)) 8.556 * [taylor]: Taking taylor expansion of (+ 1 x) in x 8.556 * [taylor]: Taking taylor expansion of 1 in x 8.556 * [backup-simplify]: Simplify 1 into 1 8.556 * [taylor]: Taking taylor expansion of x in x 8.556 * [backup-simplify]: Simplify 0 into 0 8.556 * [backup-simplify]: Simplify 1 into 1 8.557 * [backup-simplify]: Simplify (+ 1 0) into 1 8.557 * [backup-simplify]: Simplify (log 1) into 0 8.557 * [backup-simplify]: Simplify (+ 0 1) into 1 8.559 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 8.559 * [backup-simplify]: Simplify (/ 1 1) into 1 8.559 * [backup-simplify]: Simplify (sqrt 0) into 0 8.561 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.561 * [taylor]: Taking taylor expansion of (* (log1p (- x)) (sqrt (/ 1 (log1p x)))) in x 8.561 * [taylor]: Taking taylor expansion of (log1p (- x)) in x 8.561 * [taylor]: Rewrote expression to (log (+ 1 (- x))) 8.561 * [taylor]: Taking taylor expansion of (+ 1 (- x)) in x 8.561 * [taylor]: Taking taylor expansion of 1 in x 8.561 * [backup-simplify]: Simplify 1 into 1 8.561 * [taylor]: Taking taylor expansion of (- x) in x 8.561 * [taylor]: Taking taylor expansion of x in x 8.561 * [backup-simplify]: Simplify 0 into 0 8.561 * [backup-simplify]: Simplify 1 into 1 8.562 * [backup-simplify]: Simplify (- 0) into 0 8.562 * [backup-simplify]: Simplify (+ 1 0) into 1 8.562 * [backup-simplify]: Simplify (log 1) into 0 8.562 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (log1p x))) in x 8.562 * [taylor]: Taking taylor expansion of (/ 1 (log1p x)) in x 8.562 * [taylor]: Taking taylor expansion of (log1p x) in x 8.563 * [taylor]: Rewrote expression to (log (+ 1 x)) 8.563 * [taylor]: Taking taylor expansion of (+ 1 x) in x 8.563 * [taylor]: Taking taylor expansion of 1 in x 8.563 * [backup-simplify]: Simplify 1 into 1 8.563 * [taylor]: Taking taylor expansion of x in x 8.563 * [backup-simplify]: Simplify 0 into 0 8.563 * [backup-simplify]: Simplify 1 into 1 8.563 * [backup-simplify]: Simplify (+ 1 0) into 1 8.563 * [backup-simplify]: Simplify (log 1) into 0 8.564 * [backup-simplify]: Simplify (+ 0 1) into 1 8.565 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 8.565 * [backup-simplify]: Simplify (/ 1 1) into 1 8.566 * [backup-simplify]: Simplify (sqrt 0) into 0 8.567 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.567 * [backup-simplify]: Simplify (* 0 0) into 0 8.567 * [backup-simplify]: Simplify 0 into 0 8.568 * [backup-simplify]: Simplify (- 1) into -1 8.568 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.569 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 8.569 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* -1 0)) into 0 8.569 * [backup-simplify]: Simplify 0 into 0 8.569 * [backup-simplify]: Simplify (+ 0 0) into 0 8.571 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 8.571 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/2 1)))) into 1/2 8.573 * [backup-simplify]: Simplify (/ (- 1/2 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.574 * [backup-simplify]: Simplify (- 0) into 0 8.574 * [backup-simplify]: Simplify (+ 0 0) into 0 8.580 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 8.582 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* -1 +nan.0) (* -1/2 0))) into (- +nan.0) 8.582 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.582 * [backup-simplify]: Simplify (+ 0 0) into 0 8.585 * [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 8.586 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/3 1)) (* 1/2 (/ -1/2 1)))) into -1/12 8.589 * [backup-simplify]: Simplify (/ (- -1/12 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 8.589 * [backup-simplify]: Simplify (- 0) into 0 8.589 * [backup-simplify]: Simplify (+ 0 0) into 0 8.592 * [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 8.595 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* -1 +nan.0) (+ (* -1/2 +nan.0) (* -1/3 0)))) into (- +nan.0) 8.596 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.596 * [backup-simplify]: Simplify (+ 0 0) into 0 8.602 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 1) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 1) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 1) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into -1/4 8.604 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/4 1)) (* 1/2 (/ 1/3 1)) (* -1/12 (/ -1/2 1)))) into 1/24 8.607 * [backup-simplify]: Simplify (/ (- 1/24 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 8.608 * [backup-simplify]: Simplify (- 0) into 0 8.608 * [backup-simplify]: Simplify (+ 0 0) into 0 8.615 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 -1) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 -1) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 -1) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into -1/4 8.619 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* -1 +nan.0) (+ (* -1/2 +nan.0) (+ (* -1/3 +nan.0) (* -1/4 0))))) into (- +nan.0) 8.620 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.621 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow x 3)) (+ (* (- +nan.0) (pow x 2)) (* (- +nan.0) x))) into (- (+ (* +nan.0 x) (- (+ (* +nan.0 (pow x 3)) (- (* +nan.0 (pow x 2))))))) 8.621 * [backup-simplify]: Simplify (/ (log1p (- (/ 1 x))) (sqrt (log1p (/ 1 x)))) into (* (sqrt (/ 1 (log1p (/ 1 x)))) (log1p (- (/ 1 x)))) 8.621 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (log1p (/ 1 x)))) (log1p (- (/ 1 x)))) in (x) around 0 8.621 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (log1p (/ 1 x)))) (log1p (- (/ 1 x)))) in x 8.621 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (log1p (/ 1 x)))) in x 8.621 * [taylor]: Taking taylor expansion of (/ 1 (log1p (/ 1 x))) in x 8.621 * [taylor]: Taking taylor expansion of (log1p (/ 1 x)) in x 8.621 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 x))) 8.621 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 x)) in x 8.621 * [taylor]: Taking taylor expansion of 1 in x 8.621 * [backup-simplify]: Simplify 1 into 1 8.621 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.621 * [taylor]: Taking taylor expansion of x in x 8.621 * [backup-simplify]: Simplify 0 into 0 8.621 * [backup-simplify]: Simplify 1 into 1 8.621 * [backup-simplify]: Simplify (/ 1 1) into 1 8.622 * [backup-simplify]: Simplify (+ 0 1) into 1 8.622 * [backup-simplify]: Simplify (log 1) into 0 8.622 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 8.622 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 8.622 * [backup-simplify]: Simplify (/ 1 (- (log x))) into (/ -1 (log x)) 8.623 * [backup-simplify]: Simplify (sqrt (/ -1 (log x))) into (sqrt (/ -1 (log x))) 8.623 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.623 * [backup-simplify]: Simplify (+ 1 0) into 1 8.624 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 8.624 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 8.624 * [backup-simplify]: Simplify (- (+ (* (/ -1 (log x)) (/ 1 (- (log x)))))) into (- (/ 1 (pow (log x) 2))) 8.625 * [backup-simplify]: Simplify (/ (- (/ 1 (pow (log x) 2))) (* 2 (sqrt (/ -1 (log x))))) into (/ -1/2 (* (sqrt (/ -1 (log x))) (pow (log x) 2))) 8.625 * [taylor]: Taking taylor expansion of (log1p (- (/ 1 x))) in x 8.625 * [taylor]: Rewrote expression to (log (+ 1 (- (/ 1 x)))) 8.625 * [taylor]: Taking taylor expansion of (+ 1 (- (/ 1 x))) in x 8.625 * [taylor]: Taking taylor expansion of 1 in x 8.625 * [backup-simplify]: Simplify 1 into 1 8.625 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 8.625 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.625 * [taylor]: Taking taylor expansion of x in x 8.625 * [backup-simplify]: Simplify 0 into 0 8.625 * [backup-simplify]: Simplify 1 into 1 8.625 * [backup-simplify]: Simplify (/ 1 1) into 1 8.625 * [backup-simplify]: Simplify (- 1) into -1 8.626 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.626 * [backup-simplify]: Simplify (log -1) into (log -1) 8.626 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (log1p (/ 1 x)))) (log1p (- (/ 1 x)))) in x 8.626 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (log1p (/ 1 x)))) in x 8.626 * [taylor]: Taking taylor expansion of (/ 1 (log1p (/ 1 x))) in x 8.626 * [taylor]: Taking taylor expansion of (log1p (/ 1 x)) in x 8.626 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 x))) 8.626 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 x)) in x 8.626 * [taylor]: Taking taylor expansion of 1 in x 8.626 * [backup-simplify]: Simplify 1 into 1 8.626 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.626 * [taylor]: Taking taylor expansion of x in x 8.626 * [backup-simplify]: Simplify 0 into 0 8.626 * [backup-simplify]: Simplify 1 into 1 8.626 * [backup-simplify]: Simplify (/ 1 1) into 1 8.627 * [backup-simplify]: Simplify (+ 0 1) into 1 8.627 * [backup-simplify]: Simplify (log 1) into 0 8.627 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 8.627 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 8.628 * [backup-simplify]: Simplify (/ 1 (- (log x))) into (/ -1 (log x)) 8.628 * [backup-simplify]: Simplify (sqrt (/ -1 (log x))) into (sqrt (/ -1 (log x))) 8.628 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.628 * [backup-simplify]: Simplify (+ 1 0) into 1 8.629 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 8.629 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 8.629 * [backup-simplify]: Simplify (- (+ (* (/ -1 (log x)) (/ 1 (- (log x)))))) into (- (/ 1 (pow (log x) 2))) 8.630 * [backup-simplify]: Simplify (/ (- (/ 1 (pow (log x) 2))) (* 2 (sqrt (/ -1 (log x))))) into (/ -1/2 (* (sqrt (/ -1 (log x))) (pow (log x) 2))) 8.630 * [taylor]: Taking taylor expansion of (log1p (- (/ 1 x))) in x 8.630 * [taylor]: Rewrote expression to (log (+ 1 (- (/ 1 x)))) 8.630 * [taylor]: Taking taylor expansion of (+ 1 (- (/ 1 x))) in x 8.630 * [taylor]: Taking taylor expansion of 1 in x 8.630 * [backup-simplify]: Simplify 1 into 1 8.630 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 8.630 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.630 * [taylor]: Taking taylor expansion of x in x 8.630 * [backup-simplify]: Simplify 0 into 0 8.630 * [backup-simplify]: Simplify 1 into 1 8.630 * [backup-simplify]: Simplify (/ 1 1) into 1 8.630 * [backup-simplify]: Simplify (- 1) into -1 8.631 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.631 * [backup-simplify]: Simplify (log -1) into (log -1) 8.631 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 8.632 * [backup-simplify]: Simplify (* (sqrt (/ -1 (log x))) (- (log -1) (log x))) into (* (- (log -1) (log x)) (sqrt (/ -1 (log x)))) 8.632 * [backup-simplify]: Simplify (* (- (log -1) (log x)) (sqrt (/ -1 (log x)))) into (* (- (log -1) (log x)) (sqrt (/ -1 (log x)))) 8.632 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.633 * [backup-simplify]: Simplify (- 0) into 0 8.633 * [backup-simplify]: Simplify (+ 1 0) into 1 8.634 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 8.634 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 8.635 * [backup-simplify]: Simplify (+ (* (sqrt (/ -1 (log x))) -1) (* (/ -1/2 (* (sqrt (/ -1 (log x))) (pow (log x) 2))) (- (log -1) (log x)))) into (- (* 1/2 (/ 1 (* (sqrt (/ -1 (log x))) (log x)))) (+ (sqrt (/ -1 (log x))) (* 1/2 (/ (log -1) (* (sqrt (/ -1 (log x))) (pow (log x) 2)))))) 8.635 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (* (sqrt (/ -1 (log x))) (log x)))) (+ (sqrt (/ -1 (log x))) (* 1/2 (/ (log -1) (* (sqrt (/ -1 (log x))) (pow (log x) 2)))))) into (- (* 1/2 (/ 1 (* (sqrt (/ -1 (log x))) (log x)))) (+ (sqrt (/ -1 (log x))) (* 1/2 (/ (log -1) (* (sqrt (/ -1 (log x))) (pow (log x) 2)))))) 8.636 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.636 * [backup-simplify]: Simplify (- 0) into 0 8.636 * [backup-simplify]: Simplify (+ 0 0) into 0 8.639 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 8.640 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.640 * [backup-simplify]: Simplify (+ 0 0) into 0 8.643 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 8.643 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 8.644 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 8.645 * [backup-simplify]: Simplify (- (+ (* (/ -1 (log x)) (/ -1/2 (- (log x)))) (* (- (/ 1 (pow (log x) 2))) (/ 1 (- (log x)))))) into (- (* 1/2 (/ 1 (pow (log x) 2))) (/ 1 (pow (log x) 3))) 8.646 * [backup-simplify]: Simplify (/ (- (- (* 1/2 (/ 1 (pow (log x) 2))) (/ 1 (pow (log x) 3))) (pow (/ -1/2 (* (sqrt (/ -1 (log x))) (pow (log x) 2))) 2) (+)) (* 2 (sqrt (/ -1 (log x))))) into (* 1/2 (/ (- (* 1/2 (/ 1 (pow (log x) 2))) (+ (/ 1 (pow (log x) 3)) (* 1/4 (/ 1 (* (pow (sqrt (/ -1 (log x))) 2) (pow (log x) 4)))))) (sqrt (/ -1 (log x))))) 8.646 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 8.649 * [backup-simplify]: Simplify (+ (* (sqrt (/ -1 (log x))) -1/2) (+ (* (/ -1/2 (* (sqrt (/ -1 (log x))) (pow (log x) 2))) -1) (* (* 1/2 (/ (- (* 1/2 (/ 1 (pow (log x) 2))) (+ (/ 1 (pow (log x) 3)) (* 1/4 (/ 1 (* (pow (sqrt (/ -1 (log x))) 2) (pow (log x) 4)))))) (sqrt (/ -1 (log x))))) (- (log -1) (log x))))) into (- (+ (* 1/4 (/ (log -1) (* (sqrt (/ -1 (log x))) (pow (log x) 2)))) (+ (* 1/8 (/ 1 (* (pow (sqrt (/ -1 (log x))) 3) (pow (log x) 3)))) (/ 1 (* (sqrt (/ -1 (log x))) (pow (log x) 2))))) (+ (* 1/8 (/ (log -1) (* (pow (sqrt (/ -1 (log x))) 3) (pow (log x) 4)))) (+ (* 1/2 (/ (log -1) (* (sqrt (/ -1 (log x))) (pow (log x) 3)))) (+ (* 1/4 (/ 1 (* (sqrt (/ -1 (log x))) (log x)))) (* 1/2 (sqrt (/ -1 (log x)))))))) 8.652 * [backup-simplify]: Simplify (- (+ (* 1/4 (/ (log -1) (* (sqrt (/ -1 (log x))) (pow (log x) 2)))) (+ (* 1/8 (/ 1 (* (pow (sqrt (/ -1 (log x))) 3) (pow (log x) 3)))) (/ 1 (* (sqrt (/ -1 (log x))) (pow (log x) 2))))) (+ (* 1/8 (/ (log -1) (* (pow (sqrt (/ -1 (log x))) 3) (pow (log x) 4)))) (+ (* 1/2 (/ (log -1) (* (sqrt (/ -1 (log x))) (pow (log x) 3)))) (+ (* 1/4 (/ 1 (* (sqrt (/ -1 (log x))) (log x)))) (* 1/2 (sqrt (/ -1 (log x)))))))) into (- (+ (* 1/4 (/ (log -1) (* (sqrt (/ -1 (log x))) (pow (log x) 2)))) (+ (* 1/8 (/ 1 (* (pow (sqrt (/ -1 (log x))) 3) (pow (log x) 3)))) (/ 1 (* (sqrt (/ -1 (log x))) (pow (log x) 2))))) (+ (* 1/8 (/ (log -1) (* (pow (sqrt (/ -1 (log x))) 3) (pow (log x) 4)))) (+ (* 1/2 (/ (log -1) (* (sqrt (/ -1 (log x))) (pow (log x) 3)))) (+ (* 1/4 (/ 1 (* (sqrt (/ -1 (log x))) (log x)))) (* 1/2 (sqrt (/ -1 (log x)))))))) 8.658 * [backup-simplify]: Simplify (+ (* (- (+ (* 1/4 (/ (log -1) (* (sqrt (/ -1 (log (/ 1 x)))) (pow (log (/ 1 x)) 2)))) (+ (* 1/8 (/ 1 (* (pow (sqrt (/ -1 (log (/ 1 x)))) 3) (pow (log (/ 1 x)) 3)))) (/ 1 (* (sqrt (/ -1 (log (/ 1 x)))) (pow (log (/ 1 x)) 2))))) (+ (* 1/8 (/ (log -1) (* (pow (sqrt (/ -1 (log (/ 1 x)))) 3) (pow (log (/ 1 x)) 4)))) (+ (* 1/2 (/ (log -1) (* (sqrt (/ -1 (log (/ 1 x)))) (pow (log (/ 1 x)) 3)))) (+ (* 1/4 (/ 1 (* (sqrt (/ -1 (log (/ 1 x)))) (log (/ 1 x))))) (* 1/2 (sqrt (/ -1 (log (/ 1 x))))))))) (pow (/ 1 x) 2)) (+ (* (- (* 1/2 (/ 1 (* (sqrt (/ -1 (log (/ 1 x)))) (log (/ 1 x))))) (+ (sqrt (/ -1 (log (/ 1 x)))) (* 1/2 (/ (log -1) (* (sqrt (/ -1 (log (/ 1 x)))) (pow (log (/ 1 x)) 2)))))) (/ 1 x)) (* (- (log -1) (log (/ 1 x))) (sqrt (/ -1 (log (/ 1 x))))))) into (- (+ (/ 1 (* (pow (log (/ 1 x)) 2) (* (pow x 2) (sqrt (/ -1 (log (/ 1 x))))))) (+ (* (log -1) (sqrt (/ -1 (log (/ 1 x))))) (+ (* 1/8 (/ 1 (* (pow (log (/ 1 x)) 3) (* (pow x 2) (pow (sqrt (/ -1 (log (/ 1 x)))) 3))))) (+ (* 1/2 (/ 1 (* (log (/ 1 x)) (* x (sqrt (/ -1 (log (/ 1 x)))))))) (* 1/4 (/ (log -1) (* (pow (log (/ 1 x)) 2) (* (pow x 2) (sqrt (/ -1 (log (/ 1 x)))))))))))) (+ (* (log (/ 1 x)) (sqrt (/ -1 (log (/ 1 x))))) (+ (* 1/2 (/ (log -1) (* (pow (log (/ 1 x)) 3) (* (pow x 2) (sqrt (/ -1 (log (/ 1 x)))))))) (+ (* 1/2 (/ (log -1) (* (pow (log (/ 1 x)) 2) (* x (sqrt (/ -1 (log (/ 1 x)))))))) (+ (* 1/2 (/ (sqrt (/ -1 (log (/ 1 x)))) (pow x 2))) (+ (/ (sqrt (/ -1 (log (/ 1 x)))) x) (+ (* 1/4 (/ 1 (* (log (/ 1 x)) (* (pow x 2) (sqrt (/ -1 (log (/ 1 x)))))))) (* 1/8 (/ (log -1) (* (pow (log (/ 1 x)) 4) (* (pow x 2) (pow (sqrt (/ -1 (log (/ 1 x)))) 3)))))))))))) 8.658 * [backup-simplify]: Simplify (/ (log1p (- (/ 1 (- x)))) (sqrt (log1p (/ 1 (- x))))) into (* (sqrt (/ 1 (log1p (/ -1 x)))) (log1p (/ 1 x))) 8.659 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (log1p (/ -1 x)))) (log1p (/ 1 x))) in (x) around 0 8.659 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (log1p (/ -1 x)))) (log1p (/ 1 x))) in x 8.659 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (log1p (/ -1 x)))) in x 8.659 * [taylor]: Taking taylor expansion of (/ 1 (log1p (/ -1 x))) in x 8.659 * [taylor]: Taking taylor expansion of (log1p (/ -1 x)) in x 8.659 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 x))) 8.659 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 x)) in x 8.659 * [taylor]: Taking taylor expansion of 1 in x 8.659 * [backup-simplify]: Simplify 1 into 1 8.659 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.659 * [taylor]: Taking taylor expansion of -1 in x 8.659 * [backup-simplify]: Simplify -1 into -1 8.659 * [taylor]: Taking taylor expansion of x in x 8.659 * [backup-simplify]: Simplify 0 into 0 8.659 * [backup-simplify]: Simplify 1 into 1 8.660 * [backup-simplify]: Simplify (/ -1 1) into -1 8.660 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.660 * [backup-simplify]: Simplify (log -1) into (log -1) 8.661 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 8.662 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 8.662 * [backup-simplify]: Simplify (/ 1 (- (log -1) (log x))) into (/ 1 (- (log -1) (log x))) 8.663 * [backup-simplify]: Simplify (sqrt (/ 1 (- (log -1) (log x)))) into (sqrt (/ 1 (- (log -1) (log x)))) 8.664 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.664 * [backup-simplify]: Simplify (+ 1 0) into 1 8.666 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 8.667 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 8.668 * [backup-simplify]: Simplify (- (+ (* (/ 1 (- (log -1) (log x))) (/ -1 (- (log -1) (log x)))))) into (/ 1 (pow (- (log -1) (log x)) 2)) 8.670 * [backup-simplify]: Simplify (/ (/ 1 (pow (- (log -1) (log x)) 2)) (* 2 (sqrt (/ 1 (- (log -1) (log x)))))) into (* 1/2 (sqrt (/ 1 (pow (- (log -1) (log x)) 3)))) 8.670 * [taylor]: Taking taylor expansion of (log1p (/ 1 x)) in x 8.670 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 x))) 8.670 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 x)) in x 8.670 * [taylor]: Taking taylor expansion of 1 in x 8.670 * [backup-simplify]: Simplify 1 into 1 8.670 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.670 * [taylor]: Taking taylor expansion of x in x 8.670 * [backup-simplify]: Simplify 0 into 0 8.670 * [backup-simplify]: Simplify 1 into 1 8.670 * [backup-simplify]: Simplify (/ 1 1) into 1 8.671 * [backup-simplify]: Simplify (+ 0 1) into 1 8.671 * [backup-simplify]: Simplify (log 1) into 0 8.671 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (log1p (/ -1 x)))) (log1p (/ 1 x))) in x 8.671 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (log1p (/ -1 x)))) in x 8.671 * [taylor]: Taking taylor expansion of (/ 1 (log1p (/ -1 x))) in x 8.671 * [taylor]: Taking taylor expansion of (log1p (/ -1 x)) in x 8.671 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 x))) 8.671 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 x)) in x 8.671 * [taylor]: Taking taylor expansion of 1 in x 8.671 * [backup-simplify]: Simplify 1 into 1 8.671 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.671 * [taylor]: Taking taylor expansion of -1 in x 8.671 * [backup-simplify]: Simplify -1 into -1 8.672 * [taylor]: Taking taylor expansion of x in x 8.672 * [backup-simplify]: Simplify 0 into 0 8.672 * [backup-simplify]: Simplify 1 into 1 8.672 * [backup-simplify]: Simplify (/ -1 1) into -1 8.672 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.673 * [backup-simplify]: Simplify (log -1) into (log -1) 8.674 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 8.674 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 8.675 * [backup-simplify]: Simplify (/ 1 (- (log -1) (log x))) into (/ 1 (- (log -1) (log x))) 8.675 * [backup-simplify]: Simplify (sqrt (/ 1 (- (log -1) (log x)))) into (sqrt (/ 1 (- (log -1) (log x)))) 8.676 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.677 * [backup-simplify]: Simplify (+ 1 0) into 1 8.678 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 8.679 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 8.680 * [backup-simplify]: Simplify (- (+ (* (/ 1 (- (log -1) (log x))) (/ -1 (- (log -1) (log x)))))) into (/ 1 (pow (- (log -1) (log x)) 2)) 8.681 * [backup-simplify]: Simplify (/ (/ 1 (pow (- (log -1) (log x)) 2)) (* 2 (sqrt (/ 1 (- (log -1) (log x)))))) into (* 1/2 (sqrt (/ 1 (pow (- (log -1) (log x)) 3)))) 8.681 * [taylor]: Taking taylor expansion of (log1p (/ 1 x)) in x 8.681 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 x))) 8.681 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 x)) in x 8.681 * [taylor]: Taking taylor expansion of 1 in x 8.681 * [backup-simplify]: Simplify 1 into 1 8.681 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.681 * [taylor]: Taking taylor expansion of x in x 8.681 * [backup-simplify]: Simplify 0 into 0 8.681 * [backup-simplify]: Simplify 1 into 1 8.682 * [backup-simplify]: Simplify (/ 1 1) into 1 8.682 * [backup-simplify]: Simplify (+ 0 1) into 1 8.682 * [backup-simplify]: Simplify (log 1) into 0 8.683 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 8.684 * [backup-simplify]: Simplify (* (sqrt (/ 1 (- (log -1) (log x)))) (- (log x))) into (* -1 (* (sqrt (/ 1 (- (log -1) (log x)))) (log x))) 8.684 * [backup-simplify]: Simplify (* -1 (* (sqrt (/ 1 (- (log -1) (log x)))) (log x))) into (* -1 (* (sqrt (/ 1 (- (log -1) (log x)))) (log x))) 8.688 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.689 * [backup-simplify]: Simplify (+ 1 0) into 1 8.690 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 8.690 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 8.692 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (- (log -1) (log x)))) 1) (* (* 1/2 (sqrt (/ 1 (pow (- (log -1) (log x)) 3)))) (- (log x)))) into (- (sqrt (/ 1 (- (log -1) (log x)))) (* 1/2 (* (sqrt (/ 1 (pow (- (log -1) (log x)) 3))) (log x)))) 8.693 * [backup-simplify]: Simplify (- (sqrt (/ 1 (- (log -1) (log x)))) (* 1/2 (* (sqrt (/ 1 (pow (- (log -1) (log x)) 3))) (log x)))) into (- (sqrt (/ 1 (- (log -1) (log x)))) (* 1/2 (* (sqrt (/ 1 (pow (- (log -1) (log x)) 3))) (log x)))) 8.695 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.695 * [backup-simplify]: Simplify (+ 0 0) into 0 8.698 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 8.700 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.700 * [backup-simplify]: Simplify (+ 0 0) into 0 8.703 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 8.704 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 8.705 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 8.707 * [backup-simplify]: Simplify (- (+ (* (/ 1 (- (log -1) (log x))) (/ -1/2 (- (log -1) (log x)))) (* (/ 1 (pow (- (log -1) (log x)) 2)) (/ -1 (- (log -1) (log x)))))) into (+ (/ 1 (pow (- (log -1) (log x)) 3)) (* 1/2 (/ 1 (pow (- (log -1) (log x)) 2)))) 8.709 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow (- (log -1) (log x)) 3)) (* 1/2 (/ 1 (pow (- (log -1) (log x)) 2)))) (pow (* 1/2 (sqrt (/ 1 (pow (- (log -1) (log x)) 3)))) 2) (+)) (* 2 (sqrt (/ 1 (- (log -1) (log x)))))) into (* 1/2 (* (+ (* 3/4 (/ 1 (pow (- (log -1) (log x)) 3))) (* 1/2 (/ 1 (pow (- (log -1) (log x)) 2)))) (sqrt (- (log -1) (log x))))) 8.710 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 8.713 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (- (log -1) (log x)))) -1/2) (+ (* (* 1/2 (sqrt (/ 1 (pow (- (log -1) (log x)) 3)))) 1) (* (* 1/2 (* (+ (* 3/4 (/ 1 (pow (- (log -1) (log x)) 3))) (* 1/2 (/ 1 (pow (- (log -1) (log x)) 2)))) (sqrt (- (log -1) (log x))))) (- (log x))))) into (- (* 1/2 (sqrt (/ 1 (pow (- (log -1) (log x)) 3)))) (+ (* 1/2 (sqrt (/ 1 (- (log -1) (log x))))) (+ (* 3/8 (* (sqrt (/ 1 (pow (- (log -1) (log x)) 5))) (log x))) (* 1/4 (* (sqrt (/ 1 (pow (- (log -1) (log x)) 3))) (log x)))))) 8.715 * [backup-simplify]: Simplify (- (* 1/2 (sqrt (/ 1 (pow (- (log -1) (log x)) 3)))) (+ (* 1/2 (sqrt (/ 1 (- (log -1) (log x))))) (+ (* 3/8 (* (sqrt (/ 1 (pow (- (log -1) (log x)) 5))) (log x))) (* 1/4 (* (sqrt (/ 1 (pow (- (log -1) (log x)) 3))) (log x)))))) into (- (* 1/2 (sqrt (/ 1 (pow (- (log -1) (log x)) 3)))) (+ (* 1/2 (sqrt (/ 1 (- (log -1) (log x))))) (+ (* 3/8 (* (sqrt (/ 1 (pow (- (log -1) (log x)) 5))) (log x))) (* 1/4 (* (sqrt (/ 1 (pow (- (log -1) (log x)) 3))) (log x)))))) 8.721 * [backup-simplify]: Simplify (+ (* (- (* 1/2 (sqrt (/ 1 (pow (- (log -1) (log (/ 1 (- x)))) 3)))) (+ (* 1/2 (sqrt (/ 1 (- (log -1) (log (/ 1 (- x))))))) (+ (* 3/8 (* (sqrt (/ 1 (pow (- (log -1) (log (/ 1 (- x)))) 5))) (log (/ 1 (- x))))) (* 1/4 (* (sqrt (/ 1 (pow (- (log -1) (log (/ 1 (- x)))) 3))) (log (/ 1 (- x)))))))) (pow (/ 1 (- x)) 2)) (+ (* (- (sqrt (/ 1 (- (log -1) (log (/ 1 (- x)))))) (* 1/2 (* (sqrt (/ 1 (pow (- (log -1) (log (/ 1 (- x)))) 3))) (log (/ 1 (- x)))))) (/ 1 (- x))) (* -1 (* (sqrt (/ 1 (- (log -1) (log (/ 1 (- x)))))) (log (/ 1 (- x))))))) into (- (+ (* 1/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (pow (- (log -1) (log (/ -1 x))) 3))))) (* 1/2 (* (/ (log (/ -1 x)) x) (sqrt (/ 1 (pow (- (log -1) (log (/ -1 x))) 3)))))) (+ (* 3/8 (* (/ (log (/ -1 x)) (pow x 2)) (sqrt (/ 1 (pow (- (log -1) (log (/ -1 x))) 5))))) (+ (* 1/4 (* (/ (log (/ -1 x)) (pow x 2)) (sqrt (/ 1 (pow (- (log -1) (log (/ -1 x))) 3))))) (+ (* (/ 1 x) (sqrt (/ 1 (- (log -1) (log (/ -1 x)))))) (+ (* 1/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (- (log -1) (log (/ -1 x))))))) (* (log (/ -1 x)) (sqrt (/ 1 (- (log -1) (log (/ -1 x))))))))))) 8.721 * * * * [progress]: [ 2 / 3 ] generating series at (2) 8.721 * [backup-simplify]: Simplify (* (/ 1 (sqrt (log1p x))) (/ (log1p (- x)) (sqrt (log1p x)))) into (/ (log1p (- x)) (log1p x)) 8.721 * [approximate]: Taking taylor expansion of (/ (log1p (- x)) (log1p x)) in (x) around 0 8.721 * [taylor]: Taking taylor expansion of (/ (log1p (- x)) (log1p x)) in x 8.721 * [taylor]: Taking taylor expansion of (log1p (- x)) in x 8.721 * [taylor]: Rewrote expression to (log (+ 1 (- x))) 8.721 * [taylor]: Taking taylor expansion of (+ 1 (- x)) in x 8.722 * [taylor]: Taking taylor expansion of 1 in x 8.722 * [backup-simplify]: Simplify 1 into 1 8.722 * [taylor]: Taking taylor expansion of (- x) in x 8.722 * [taylor]: Taking taylor expansion of x in x 8.722 * [backup-simplify]: Simplify 0 into 0 8.722 * [backup-simplify]: Simplify 1 into 1 8.722 * [backup-simplify]: Simplify (- 0) into 0 8.723 * [backup-simplify]: Simplify (+ 1 0) into 1 8.723 * [backup-simplify]: Simplify (log 1) into 0 8.723 * [taylor]: Taking taylor expansion of (log1p x) in x 8.723 * [taylor]: Rewrote expression to (log (+ 1 x)) 8.723 * [taylor]: Taking taylor expansion of (+ 1 x) in x 8.723 * [taylor]: Taking taylor expansion of 1 in x 8.723 * [backup-simplify]: Simplify 1 into 1 8.723 * [taylor]: Taking taylor expansion of x in x 8.723 * [backup-simplify]: Simplify 0 into 0 8.723 * [backup-simplify]: Simplify 1 into 1 8.724 * [backup-simplify]: Simplify (+ 1 0) into 1 8.724 * [backup-simplify]: Simplify (log 1) into 0 8.724 * [backup-simplify]: Simplify (- 1) into -1 8.725 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.726 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 8.727 * [backup-simplify]: Simplify (+ 0 1) into 1 8.728 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 8.728 * [backup-simplify]: Simplify (/ -1 1) into -1 8.728 * [taylor]: Taking taylor expansion of (/ (log1p (- x)) (log1p x)) in x 8.728 * [taylor]: Taking taylor expansion of (log1p (- x)) in x 8.728 * [taylor]: Rewrote expression to (log (+ 1 (- x))) 8.728 * [taylor]: Taking taylor expansion of (+ 1 (- x)) in x 8.728 * [taylor]: Taking taylor expansion of 1 in x 8.728 * [backup-simplify]: Simplify 1 into 1 8.729 * [taylor]: Taking taylor expansion of (- x) in x 8.729 * [taylor]: Taking taylor expansion of x in x 8.729 * [backup-simplify]: Simplify 0 into 0 8.729 * [backup-simplify]: Simplify 1 into 1 8.729 * [backup-simplify]: Simplify (- 0) into 0 8.729 * [backup-simplify]: Simplify (+ 1 0) into 1 8.730 * [backup-simplify]: Simplify (log 1) into 0 8.730 * [taylor]: Taking taylor expansion of (log1p x) in x 8.730 * [taylor]: Rewrote expression to (log (+ 1 x)) 8.730 * [taylor]: Taking taylor expansion of (+ 1 x) in x 8.730 * [taylor]: Taking taylor expansion of 1 in x 8.730 * [backup-simplify]: Simplify 1 into 1 8.730 * [taylor]: Taking taylor expansion of x in x 8.730 * [backup-simplify]: Simplify 0 into 0 8.730 * [backup-simplify]: Simplify 1 into 1 8.730 * [backup-simplify]: Simplify (+ 1 0) into 1 8.731 * [backup-simplify]: Simplify (log 1) into 0 8.731 * [backup-simplify]: Simplify (- 1) into -1 8.732 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.733 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 8.733 * [backup-simplify]: Simplify (+ 0 1) into 1 8.735 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 8.735 * [backup-simplify]: Simplify (/ -1 1) into -1 8.735 * [backup-simplify]: Simplify -1 into -1 8.736 * [backup-simplify]: Simplify (- 0) into 0 8.736 * [backup-simplify]: Simplify (+ 0 0) into 0 8.739 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 8.739 * [backup-simplify]: Simplify (+ 0 0) into 0 8.742 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 8.743 * [backup-simplify]: Simplify (- (/ -1/2 1) (+ (* -1 (/ -1/2 1)))) into -1 8.743 * [backup-simplify]: Simplify -1 into -1 8.744 * [backup-simplify]: Simplify (- 0) into 0 8.744 * [backup-simplify]: Simplify (+ 0 0) into 0 8.750 * [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 8.751 * [backup-simplify]: Simplify (+ 0 0) into 0 8.756 * [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 8.758 * [backup-simplify]: Simplify (- (/ -1/3 1) (+ (* -1 (/ 1/3 1)) (* -1 (/ -1/2 1)))) into -1/2 8.758 * [backup-simplify]: Simplify -1/2 into -1/2 8.758 * [backup-simplify]: Simplify (+ (* -1/2 (pow x 2)) (+ (* -1 x) -1)) into (- (+ x (+ (* 1/2 (pow x 2)) 1))) 8.758 * [backup-simplify]: Simplify (* (/ 1 (sqrt (log1p (/ 1 x)))) (/ (log1p (- (/ 1 x))) (sqrt (log1p (/ 1 x))))) into (/ (log1p (- (/ 1 x))) (log1p (/ 1 x))) 8.758 * [approximate]: Taking taylor expansion of (/ (log1p (- (/ 1 x))) (log1p (/ 1 x))) in (x) around 0 8.758 * [taylor]: Taking taylor expansion of (/ (log1p (- (/ 1 x))) (log1p (/ 1 x))) in x 8.758 * [taylor]: Taking taylor expansion of (log1p (- (/ 1 x))) in x 8.759 * [taylor]: Rewrote expression to (log (+ 1 (- (/ 1 x)))) 8.759 * [taylor]: Taking taylor expansion of (+ 1 (- (/ 1 x))) in x 8.759 * [taylor]: Taking taylor expansion of 1 in x 8.759 * [backup-simplify]: Simplify 1 into 1 8.759 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 8.759 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.759 * [taylor]: Taking taylor expansion of x in x 8.759 * [backup-simplify]: Simplify 0 into 0 8.759 * [backup-simplify]: Simplify 1 into 1 8.759 * [backup-simplify]: Simplify (/ 1 1) into 1 8.760 * [backup-simplify]: Simplify (- 1) into -1 8.760 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.761 * [backup-simplify]: Simplify (log -1) into (log -1) 8.761 * [taylor]: Taking taylor expansion of (log1p (/ 1 x)) in x 8.761 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 x))) 8.761 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 x)) in x 8.761 * [taylor]: Taking taylor expansion of 1 in x 8.761 * [backup-simplify]: Simplify 1 into 1 8.761 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.761 * [taylor]: Taking taylor expansion of x in x 8.761 * [backup-simplify]: Simplify 0 into 0 8.761 * [backup-simplify]: Simplify 1 into 1 8.761 * [backup-simplify]: Simplify (/ 1 1) into 1 8.762 * [backup-simplify]: Simplify (+ 0 1) into 1 8.762 * [backup-simplify]: Simplify (log 1) into 0 8.763 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 8.763 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 8.764 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 8.765 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 8.765 * [backup-simplify]: Simplify (/ (- (log -1) (log x)) (- (log x))) into (* -1 (/ (- (log -1) (log x)) (log x))) 8.765 * [taylor]: Taking taylor expansion of (/ (log1p (- (/ 1 x))) (log1p (/ 1 x))) in x 8.765 * [taylor]: Taking taylor expansion of (log1p (- (/ 1 x))) in x 8.765 * [taylor]: Rewrote expression to (log (+ 1 (- (/ 1 x)))) 8.765 * [taylor]: Taking taylor expansion of (+ 1 (- (/ 1 x))) in x 8.765 * [taylor]: Taking taylor expansion of 1 in x 8.766 * [backup-simplify]: Simplify 1 into 1 8.766 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 8.766 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.766 * [taylor]: Taking taylor expansion of x in x 8.766 * [backup-simplify]: Simplify 0 into 0 8.766 * [backup-simplify]: Simplify 1 into 1 8.766 * [backup-simplify]: Simplify (/ 1 1) into 1 8.766 * [backup-simplify]: Simplify (- 1) into -1 8.767 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.767 * [backup-simplify]: Simplify (log -1) into (log -1) 8.767 * [taylor]: Taking taylor expansion of (log1p (/ 1 x)) in x 8.767 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 x))) 8.768 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 x)) in x 8.768 * [taylor]: Taking taylor expansion of 1 in x 8.768 * [backup-simplify]: Simplify 1 into 1 8.768 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.768 * [taylor]: Taking taylor expansion of x in x 8.768 * [backup-simplify]: Simplify 0 into 0 8.768 * [backup-simplify]: Simplify 1 into 1 8.768 * [backup-simplify]: Simplify (/ 1 1) into 1 8.769 * [backup-simplify]: Simplify (+ 0 1) into 1 8.769 * [backup-simplify]: Simplify (log 1) into 0 8.770 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 8.770 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 8.771 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 8.772 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 8.772 * [backup-simplify]: Simplify (/ (- (log -1) (log x)) (- (log x))) into (* -1 (/ (- (log -1) (log x)) (log x))) 8.773 * [backup-simplify]: Simplify (* -1 (/ (- (log -1) (log x)) (log x))) into (* -1 (/ (- (log -1) (log x)) (log x))) 8.773 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.774 * [backup-simplify]: Simplify (- 0) into 0 8.774 * [backup-simplify]: Simplify (+ 1 0) into 1 8.775 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 8.775 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 8.775 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.776 * [backup-simplify]: Simplify (+ 1 0) into 1 8.776 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 8.777 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 8.777 * [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))) 8.778 * [backup-simplify]: Simplify (- (* 2 (/ 1 (log x))) (/ (log -1) (pow (log x) 2))) into (- (* 2 (/ 1 (log x))) (/ (log -1) (pow (log x) 2))) 8.778 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.778 * [backup-simplify]: Simplify (- 0) into 0 8.779 * [backup-simplify]: Simplify (+ 0 0) into 0 8.780 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 8.781 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 8.781 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.781 * [backup-simplify]: Simplify (+ 0 0) into 0 8.783 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 8.783 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 8.784 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 8.785 * [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))) 8.785 * [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))) 8.787 * [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))))) 8.787 * [backup-simplify]: Simplify (* (/ 1 (sqrt (log1p (/ 1 (- x))))) (/ (log1p (- (/ 1 (- x)))) (sqrt (log1p (/ 1 (- x)))))) into (/ (log1p (/ 1 x)) (log1p (/ -1 x))) 8.787 * [approximate]: Taking taylor expansion of (/ (log1p (/ 1 x)) (log1p (/ -1 x))) in (x) around 0 8.787 * [taylor]: Taking taylor expansion of (/ (log1p (/ 1 x)) (log1p (/ -1 x))) in x 8.787 * [taylor]: Taking taylor expansion of (log1p (/ 1 x)) in x 8.787 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 x))) 8.787 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 x)) in x 8.787 * [taylor]: Taking taylor expansion of 1 in x 8.787 * [backup-simplify]: Simplify 1 into 1 8.787 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.787 * [taylor]: Taking taylor expansion of x in x 8.787 * [backup-simplify]: Simplify 0 into 0 8.787 * [backup-simplify]: Simplify 1 into 1 8.788 * [backup-simplify]: Simplify (/ 1 1) into 1 8.788 * [backup-simplify]: Simplify (+ 0 1) into 1 8.788 * [backup-simplify]: Simplify (log 1) into 0 8.788 * [taylor]: Taking taylor expansion of (log1p (/ -1 x)) in x 8.788 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 x))) 8.788 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 x)) in x 8.788 * [taylor]: Taking taylor expansion of 1 in x 8.788 * [backup-simplify]: Simplify 1 into 1 8.788 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.788 * [taylor]: Taking taylor expansion of -1 in x 8.788 * [backup-simplify]: Simplify -1 into -1 8.788 * [taylor]: Taking taylor expansion of x in x 8.788 * [backup-simplify]: Simplify 0 into 0 8.788 * [backup-simplify]: Simplify 1 into 1 8.789 * [backup-simplify]: Simplify (/ -1 1) into -1 8.789 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.789 * [backup-simplify]: Simplify (log -1) into (log -1) 8.790 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 8.790 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 8.790 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 8.791 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 8.791 * [backup-simplify]: Simplify (/ (- (log x)) (- (log -1) (log x))) into (* -1 (/ (log x) (- (log -1) (log x)))) 8.791 * [taylor]: Taking taylor expansion of (/ (log1p (/ 1 x)) (log1p (/ -1 x))) in x 8.791 * [taylor]: Taking taylor expansion of (log1p (/ 1 x)) in x 8.791 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 x))) 8.791 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 x)) in x 8.791 * [taylor]: Taking taylor expansion of 1 in x 8.791 * [backup-simplify]: Simplify 1 into 1 8.791 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.791 * [taylor]: Taking taylor expansion of x in x 8.791 * [backup-simplify]: Simplify 0 into 0 8.791 * [backup-simplify]: Simplify 1 into 1 8.792 * [backup-simplify]: Simplify (/ 1 1) into 1 8.792 * [backup-simplify]: Simplify (+ 0 1) into 1 8.792 * [backup-simplify]: Simplify (log 1) into 0 8.792 * [taylor]: Taking taylor expansion of (log1p (/ -1 x)) in x 8.792 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 x))) 8.792 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 x)) in x 8.792 * [taylor]: Taking taylor expansion of 1 in x 8.792 * [backup-simplify]: Simplify 1 into 1 8.792 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.792 * [taylor]: Taking taylor expansion of -1 in x 8.792 * [backup-simplify]: Simplify -1 into -1 8.792 * [taylor]: Taking taylor expansion of x in x 8.792 * [backup-simplify]: Simplify 0 into 0 8.792 * [backup-simplify]: Simplify 1 into 1 8.793 * [backup-simplify]: Simplify (/ -1 1) into -1 8.793 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.793 * [backup-simplify]: Simplify (log -1) into (log -1) 8.794 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 8.795 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 8.795 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 8.796 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 8.796 * [backup-simplify]: Simplify (/ (- (log x)) (- (log -1) (log x))) into (* -1 (/ (log x) (- (log -1) (log x)))) 8.797 * [backup-simplify]: Simplify (* -1 (/ (log x) (- (log -1) (log x)))) into (* -1 (/ (log x) (- (log -1) (log x)))) 8.798 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.798 * [backup-simplify]: Simplify (+ 1 0) into 1 8.799 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 8.800 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 8.801 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.801 * [backup-simplify]: Simplify (+ 1 0) into 1 8.803 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 8.803 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 8.805 * [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))) 8.807 * [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))) 8.808 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.808 * [backup-simplify]: Simplify (+ 0 0) into 0 8.811 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 8.812 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 8.813 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.814 * [backup-simplify]: Simplify (+ 0 0) into 0 8.817 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 8.818 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 8.819 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 8.822 * [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)))))) 8.830 * [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)))))) 8.834 * [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))))))))))) 8.835 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 8.835 * [backup-simplify]: Simplify (/ 1 (sqrt (log1p x))) into (sqrt (/ 1 (log1p x))) 8.835 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (log1p x))) in (x) around 0 8.835 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (log1p x))) in x 8.835 * [taylor]: Taking taylor expansion of (/ 1 (log1p x)) in x 8.835 * [taylor]: Taking taylor expansion of (log1p x) in x 8.835 * [taylor]: Rewrote expression to (log (+ 1 x)) 8.835 * [taylor]: Taking taylor expansion of (+ 1 x) in x 8.835 * [taylor]: Taking taylor expansion of 1 in x 8.835 * [backup-simplify]: Simplify 1 into 1 8.835 * [taylor]: Taking taylor expansion of x in x 8.835 * [backup-simplify]: Simplify 0 into 0 8.835 * [backup-simplify]: Simplify 1 into 1 8.836 * [backup-simplify]: Simplify (+ 1 0) into 1 8.836 * [backup-simplify]: Simplify (log 1) into 0 8.837 * [backup-simplify]: Simplify (+ 0 1) into 1 8.838 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 8.838 * [backup-simplify]: Simplify (/ 1 1) into 1 8.839 * [backup-simplify]: Simplify (sqrt 0) into 0 8.840 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.840 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (log1p x))) in x 8.840 * [taylor]: Taking taylor expansion of (/ 1 (log1p x)) in x 8.840 * [taylor]: Taking taylor expansion of (log1p x) in x 8.840 * [taylor]: Rewrote expression to (log (+ 1 x)) 8.841 * [taylor]: Taking taylor expansion of (+ 1 x) in x 8.841 * [taylor]: Taking taylor expansion of 1 in x 8.841 * [backup-simplify]: Simplify 1 into 1 8.841 * [taylor]: Taking taylor expansion of x in x 8.841 * [backup-simplify]: Simplify 0 into 0 8.841 * [backup-simplify]: Simplify 1 into 1 8.841 * [backup-simplify]: Simplify (+ 1 0) into 1 8.841 * [backup-simplify]: Simplify (log 1) into 0 8.842 * [backup-simplify]: Simplify (+ 0 1) into 1 8.843 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 8.844 * [backup-simplify]: Simplify (/ 1 1) into 1 8.844 * [backup-simplify]: Simplify (sqrt 0) into 0 8.845 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.846 * [backup-simplify]: Simplify 0 into 0 8.846 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.846 * [backup-simplify]: Simplify (+ 0 0) into 0 8.849 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 8.850 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/2 1)))) into 1/2 8.853 * [backup-simplify]: Simplify (/ (- 1/2 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.853 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.854 * [backup-simplify]: Simplify (+ 0 0) into 0 8.859 * [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 8.860 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/3 1)) (* 1/2 (/ -1/2 1)))) into -1/12 8.865 * [backup-simplify]: Simplify (/ (- -1/12 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 8.865 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.865 * [backup-simplify]: Simplify (+ (* +nan.0 (pow x 2)) (+ (* +nan.0 x) +nan.0)) into (- (+ (* +nan.0 x) (- (+ (* +nan.0 (pow x 2)) (- +nan.0))))) 8.865 * [backup-simplify]: Simplify (/ 1 (sqrt (log1p (/ 1 x)))) into (sqrt (/ 1 (log1p (/ 1 x)))) 8.865 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (log1p (/ 1 x)))) in (x) around 0 8.866 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (log1p (/ 1 x)))) in x 8.866 * [taylor]: Taking taylor expansion of (/ 1 (log1p (/ 1 x))) in x 8.866 * [taylor]: Taking taylor expansion of (log1p (/ 1 x)) in x 8.866 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 x))) 8.866 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 x)) in x 8.866 * [taylor]: Taking taylor expansion of 1 in x 8.866 * [backup-simplify]: Simplify 1 into 1 8.866 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.866 * [taylor]: Taking taylor expansion of x in x 8.866 * [backup-simplify]: Simplify 0 into 0 8.866 * [backup-simplify]: Simplify 1 into 1 8.866 * [backup-simplify]: Simplify (/ 1 1) into 1 8.867 * [backup-simplify]: Simplify (+ 0 1) into 1 8.867 * [backup-simplify]: Simplify (log 1) into 0 8.868 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 8.868 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 8.868 * [backup-simplify]: Simplify (/ 1 (- (log x))) into (/ -1 (log x)) 8.868 * [backup-simplify]: Simplify (sqrt (/ -1 (log x))) into (sqrt (/ -1 (log x))) 8.869 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.869 * [backup-simplify]: Simplify (+ 1 0) into 1 8.871 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 8.871 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 8.871 * [backup-simplify]: Simplify (- (+ (* (/ -1 (log x)) (/ 1 (- (log x)))))) into (- (/ 1 (pow (log x) 2))) 8.872 * [backup-simplify]: Simplify (/ (- (/ 1 (pow (log x) 2))) (* 2 (sqrt (/ -1 (log x))))) into (/ -1/2 (* (sqrt (/ -1 (log x))) (pow (log x) 2))) 8.872 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (log1p (/ 1 x)))) in x 8.872 * [taylor]: Taking taylor expansion of (/ 1 (log1p (/ 1 x))) in x 8.872 * [taylor]: Taking taylor expansion of (log1p (/ 1 x)) in x 8.872 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 x))) 8.872 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 x)) in x 8.872 * [taylor]: Taking taylor expansion of 1 in x 8.872 * [backup-simplify]: Simplify 1 into 1 8.872 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.872 * [taylor]: Taking taylor expansion of x in x 8.872 * [backup-simplify]: Simplify 0 into 0 8.872 * [backup-simplify]: Simplify 1 into 1 8.873 * [backup-simplify]: Simplify (/ 1 1) into 1 8.873 * [backup-simplify]: Simplify (+ 0 1) into 1 8.873 * [backup-simplify]: Simplify (log 1) into 0 8.874 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 8.874 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 8.874 * [backup-simplify]: Simplify (/ 1 (- (log x))) into (/ -1 (log x)) 8.875 * [backup-simplify]: Simplify (sqrt (/ -1 (log x))) into (sqrt (/ -1 (log x))) 8.875 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.876 * [backup-simplify]: Simplify (+ 1 0) into 1 8.878 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 8.878 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 8.878 * [backup-simplify]: Simplify (- (+ (* (/ -1 (log x)) (/ 1 (- (log x)))))) into (- (/ 1 (pow (log x) 2))) 8.879 * [backup-simplify]: Simplify (/ (- (/ 1 (pow (log x) 2))) (* 2 (sqrt (/ -1 (log x))))) into (/ -1/2 (* (sqrt (/ -1 (log x))) (pow (log x) 2))) 8.879 * [backup-simplify]: Simplify (sqrt (/ -1 (log x))) into (sqrt (/ -1 (log x))) 8.879 * [backup-simplify]: Simplify (/ -1/2 (* (sqrt (/ -1 (log x))) (pow (log x) 2))) into (/ -1/2 (* (sqrt (/ -1 (log x))) (pow (log x) 2))) 8.880 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.880 * [backup-simplify]: Simplify (+ 0 0) into 0 8.883 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 8.884 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 8.884 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 8.885 * [backup-simplify]: Simplify (- (+ (* (/ -1 (log x)) (/ -1/2 (- (log x)))) (* (- (/ 1 (pow (log x) 2))) (/ 1 (- (log x)))))) into (- (* 1/2 (/ 1 (pow (log x) 2))) (/ 1 (pow (log x) 3))) 8.886 * [backup-simplify]: Simplify (/ (- (- (* 1/2 (/ 1 (pow (log x) 2))) (/ 1 (pow (log x) 3))) (pow (/ -1/2 (* (sqrt (/ -1 (log x))) (pow (log x) 2))) 2) (+)) (* 2 (sqrt (/ -1 (log x))))) into (* 1/2 (/ (- (* 1/2 (/ 1 (pow (log x) 2))) (+ (/ 1 (pow (log x) 3)) (* 1/4 (/ 1 (* (pow (sqrt (/ -1 (log x))) 2) (pow (log x) 4)))))) (sqrt (/ -1 (log x))))) 8.887 * [backup-simplify]: Simplify (* 1/2 (/ (- (* 1/2 (/ 1 (pow (log x) 2))) (+ (/ 1 (pow (log x) 3)) (* 1/4 (/ 1 (* (pow (sqrt (/ -1 (log x))) 2) (pow (log x) 4)))))) (sqrt (/ -1 (log x))))) into (* 1/2 (/ (- (* 1/2 (/ 1 (pow (log x) 2))) (+ (/ 1 (pow (log x) 3)) (* 1/4 (/ 1 (* (pow (sqrt (/ -1 (log x))) 2) (pow (log x) 4)))))) (sqrt (/ -1 (log x))))) 8.888 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ (- (* 1/2 (/ 1 (pow (log (/ 1 x)) 2))) (+ (/ 1 (pow (log (/ 1 x)) 3)) (* 1/4 (/ 1 (* (pow (sqrt (/ -1 (log (/ 1 x)))) 2) (pow (log (/ 1 x)) 4)))))) (sqrt (/ -1 (log (/ 1 x)))))) (pow (/ 1 x) 2)) (+ (* (/ -1/2 (* (sqrt (/ -1 (log (/ 1 x)))) (pow (log (/ 1 x)) 2))) (/ 1 x)) (sqrt (/ -1 (log (/ 1 x)))))) into (- (+ (* 1/4 (/ 1 (* (pow (log (/ 1 x)) 2) (* (pow x 2) (sqrt (/ -1 (log (/ 1 x)))))))) (sqrt (/ -1 (log (/ 1 x))))) (+ (* 1/2 (/ 1 (* (pow (log (/ 1 x)) 3) (* (pow x 2) (sqrt (/ -1 (log (/ 1 x)))))))) (+ (* 1/8 (/ 1 (* (pow (log (/ 1 x)) 4) (* (pow x 2) (pow (sqrt (/ -1 (log (/ 1 x)))) 3))))) (* 1/2 (/ 1 (* (pow (log (/ 1 x)) 2) (* x (sqrt (/ -1 (log (/ 1 x))))))))))) 8.889 * [backup-simplify]: Simplify (/ 1 (sqrt (log1p (/ 1 (- x))))) into (sqrt (/ 1 (log1p (/ -1 x)))) 8.889 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (log1p (/ -1 x)))) in (x) around 0 8.889 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (log1p (/ -1 x)))) in x 8.889 * [taylor]: Taking taylor expansion of (/ 1 (log1p (/ -1 x))) in x 8.889 * [taylor]: Taking taylor expansion of (log1p (/ -1 x)) in x 8.889 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 x))) 8.889 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 x)) in x 8.889 * [taylor]: Taking taylor expansion of 1 in x 8.889 * [backup-simplify]: Simplify 1 into 1 8.889 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.889 * [taylor]: Taking taylor expansion of -1 in x 8.889 * [backup-simplify]: Simplify -1 into -1 8.889 * [taylor]: Taking taylor expansion of x in x 8.889 * [backup-simplify]: Simplify 0 into 0 8.889 * [backup-simplify]: Simplify 1 into 1 8.890 * [backup-simplify]: Simplify (/ -1 1) into -1 8.890 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.890 * [backup-simplify]: Simplify (log -1) into (log -1) 8.891 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 8.892 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 8.893 * [backup-simplify]: Simplify (/ 1 (- (log -1) (log x))) into (/ 1 (- (log -1) (log x))) 8.893 * [backup-simplify]: Simplify (sqrt (/ 1 (- (log -1) (log x)))) into (sqrt (/ 1 (- (log -1) (log x)))) 8.894 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.894 * [backup-simplify]: Simplify (+ 1 0) into 1 8.896 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 8.897 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 8.898 * [backup-simplify]: Simplify (- (+ (* (/ 1 (- (log -1) (log x))) (/ -1 (- (log -1) (log x)))))) into (/ 1 (pow (- (log -1) (log x)) 2)) 8.899 * [backup-simplify]: Simplify (/ (/ 1 (pow (- (log -1) (log x)) 2)) (* 2 (sqrt (/ 1 (- (log -1) (log x)))))) into (* 1/2 (sqrt (/ 1 (pow (- (log -1) (log x)) 3)))) 8.899 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (log1p (/ -1 x)))) in x 8.899 * [taylor]: Taking taylor expansion of (/ 1 (log1p (/ -1 x))) in x 8.899 * [taylor]: Taking taylor expansion of (log1p (/ -1 x)) in x 8.899 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 x))) 8.899 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 x)) in x 8.899 * [taylor]: Taking taylor expansion of 1 in x 8.899 * [backup-simplify]: Simplify 1 into 1 8.899 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.899 * [taylor]: Taking taylor expansion of -1 in x 8.899 * [backup-simplify]: Simplify -1 into -1 8.899 * [taylor]: Taking taylor expansion of x in x 8.899 * [backup-simplify]: Simplify 0 into 0 8.899 * [backup-simplify]: Simplify 1 into 1 8.900 * [backup-simplify]: Simplify (/ -1 1) into -1 8.900 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.901 * [backup-simplify]: Simplify (log -1) into (log -1) 8.901 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 8.902 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 8.903 * [backup-simplify]: Simplify (/ 1 (- (log -1) (log x))) into (/ 1 (- (log -1) (log x))) 8.903 * [backup-simplify]: Simplify (sqrt (/ 1 (- (log -1) (log x)))) into (sqrt (/ 1 (- (log -1) (log x)))) 8.904 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.905 * [backup-simplify]: Simplify (+ 1 0) into 1 8.906 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 8.907 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 8.908 * [backup-simplify]: Simplify (- (+ (* (/ 1 (- (log -1) (log x))) (/ -1 (- (log -1) (log x)))))) into (/ 1 (pow (- (log -1) (log x)) 2)) 8.909 * [backup-simplify]: Simplify (/ (/ 1 (pow (- (log -1) (log x)) 2)) (* 2 (sqrt (/ 1 (- (log -1) (log x)))))) into (* 1/2 (sqrt (/ 1 (pow (- (log -1) (log x)) 3)))) 8.909 * [backup-simplify]: Simplify (sqrt (/ 1 (- (log -1) (log x)))) into (sqrt (/ 1 (- (log -1) (log x)))) 8.910 * [backup-simplify]: Simplify (* 1/2 (sqrt (/ 1 (pow (- (log -1) (log x)) 3)))) into (* 1/2 (sqrt (/ 1 (pow (- (log -1) (log x)) 3)))) 8.911 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.912 * [backup-simplify]: Simplify (+ 0 0) into 0 8.914 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 8.915 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 8.916 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 8.918 * [backup-simplify]: Simplify (- (+ (* (/ 1 (- (log -1) (log x))) (/ -1/2 (- (log -1) (log x)))) (* (/ 1 (pow (- (log -1) (log x)) 2)) (/ -1 (- (log -1) (log x)))))) into (+ (/ 1 (pow (- (log -1) (log x)) 3)) (* 1/2 (/ 1 (pow (- (log -1) (log x)) 2)))) 8.920 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow (- (log -1) (log x)) 3)) (* 1/2 (/ 1 (pow (- (log -1) (log x)) 2)))) (pow (* 1/2 (sqrt (/ 1 (pow (- (log -1) (log x)) 3)))) 2) (+)) (* 2 (sqrt (/ 1 (- (log -1) (log x)))))) into (* 1/2 (* (+ (* 3/4 (/ 1 (pow (- (log -1) (log x)) 3))) (* 1/2 (/ 1 (pow (- (log -1) (log x)) 2)))) (sqrt (- (log -1) (log x))))) 8.922 * [backup-simplify]: Simplify (* 1/2 (* (+ (* 3/4 (/ 1 (pow (- (log -1) (log x)) 3))) (* 1/2 (/ 1 (pow (- (log -1) (log x)) 2)))) (sqrt (- (log -1) (log x))))) into (* 1/2 (* (+ (* 3/4 (/ 1 (pow (- (log -1) (log x)) 3))) (* 1/2 (/ 1 (pow (- (log -1) (log x)) 2)))) (sqrt (- (log -1) (log x))))) 8.925 * [backup-simplify]: Simplify (+ (* (* 1/2 (* (+ (* 3/4 (/ 1 (pow (- (log -1) (log (/ 1 (- x)))) 3))) (* 1/2 (/ 1 (pow (- (log -1) (log (/ 1 (- x)))) 2)))) (sqrt (- (log -1) (log (/ 1 (- x))))))) (pow (/ 1 (- x)) 2)) (+ (* (* 1/2 (sqrt (/ 1 (pow (- (log -1) (log (/ 1 (- x)))) 3)))) (/ 1 (- x))) (sqrt (/ 1 (- (log -1) (log (/ 1 (- x)))))))) into (- (+ (sqrt (/ 1 (- (log -1) (log (/ -1 x))))) (+ (* 1/4 (* (/ 1 (pow x 2)) (sqrt (/ 1 (pow (- (log -1) (log (/ -1 x))) 3))))) (* 3/8 (* (/ 1 (pow x 2)) (sqrt (/ 1 (pow (- (log -1) (log (/ -1 x))) 5))))))) (* 1/2 (* (/ 1 x) (sqrt (/ 1 (pow (- (log -1) (log (/ -1 x))) 3)))))) 8.925 * * * [progress]: simplifying candidates 8.925 * * * * [progress]: [ 1 / 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candidate # 8.938 * * * * [progress]: [ 184 / 185 ] simplifiying candidate # 8.938 * * * * [progress]: [ 185 / 185 ] simplifiying candidate # 8.941 * [simplify]: Simplifying: (expm1 (/ (log1p (- x)) (sqrt (log1p x)))) (log1p (/ (log1p (- x)) (sqrt (log1p x)))) (- (log (log1p (- x))) (log (sqrt (log1p x)))) (log (/ (log1p (- x)) (sqrt (log1p x)))) (exp (/ (log1p (- x)) (sqrt (log1p x)))) (/ (* (* (log1p (- x)) (log1p (- x))) (log1p (- x))) (* (* (sqrt (log1p x)) (sqrt (log1p x))) (sqrt (log1p x)))) (* (cbrt (/ (log1p (- x)) (sqrt (log1p x)))) (cbrt (/ (log1p (- x)) (sqrt (log1p x))))) (cbrt (/ (log1p (- x)) (sqrt (log1p x)))) (* (* (/ (log1p (- x)) (sqrt (log1p x))) (/ (log1p (- x)) (sqrt (log1p x)))) (/ (log1p (- x)) (sqrt (log1p x)))) (sqrt (/ (log1p (- x)) (sqrt (log1p x)))) (sqrt (/ (log1p (- x)) (sqrt (log1p x)))) (- (log1p (- x))) (- (sqrt (log1p x))) (/ (* (cbrt (log1p (- x))) (cbrt (log1p (- x)))) (* (cbrt (sqrt (log1p x))) (cbrt (sqrt (log1p x))))) (/ (cbrt (log1p (- x))) (cbrt (sqrt (log1p x)))) (/ (* (cbrt (log1p (- x))) (cbrt (log1p (- x)))) (sqrt (* (cbrt (log1p x)) (cbrt (log1p x))))) (/ (cbrt (log1p (- x))) (sqrt (cbrt (log1p x)))) (/ (* (cbrt (log1p (- x))) (cbrt (log1p (- x)))) (sqrt (sqrt (log1p x)))) (/ (cbrt (log1p (- x))) (sqrt (sqrt (log1p x)))) (/ (* (cbrt (log1p (- x))) (cbrt (log1p (- x)))) (sqrt 1)) (/ (cbrt (log1p (- x))) (sqrt (log1p x))) (/ (* (cbrt (log1p (- x))) (cbrt (log1p (- x)))) (sqrt (sqrt (log1p x)))) (/ (cbrt (log1p (- x))) (sqrt (sqrt (log1p x)))) (/ (* (cbrt (log1p (- x))) (cbrt (log1p (- x)))) 1) (/ (cbrt (log1p (- x))) (sqrt (log1p x))) (/ (sqrt (log1p (- x))) (* (cbrt (sqrt (log1p x))) (cbrt (sqrt (log1p x))))) (/ (sqrt (log1p (- x))) (cbrt (sqrt (log1p x)))) (/ (sqrt (log1p (- x))) (sqrt (* (cbrt (log1p x)) (cbrt (log1p x))))) (/ (sqrt (log1p (- x))) (sqrt (cbrt (log1p x)))) (/ (sqrt (log1p (- x))) (sqrt (sqrt (log1p x)))) (/ (sqrt (log1p (- x))) (sqrt (sqrt (log1p x)))) (/ (sqrt (log1p (- x))) (sqrt 1)) (/ (sqrt (log1p (- x))) (sqrt (log1p x))) (/ (sqrt (log1p (- x))) (sqrt (sqrt (log1p x)))) (/ (sqrt (log1p (- x))) (sqrt (sqrt (log1p x)))) (/ (sqrt (log1p (- x))) 1) (/ (sqrt (log1p (- x))) (sqrt (log1p x))) (/ 1 (* (cbrt (sqrt (log1p x))) (cbrt (sqrt (log1p x))))) (/ (log1p (- x)) (cbrt (sqrt (log1p x)))) (/ 1 (sqrt (* (cbrt (log1p x)) (cbrt (log1p x))))) (/ (log1p (- x)) (sqrt (cbrt (log1p x)))) (/ 1 (sqrt (sqrt (log1p x)))) (/ (log1p (- x)) (sqrt (sqrt (log1p x)))) (/ 1 (sqrt 1)) (/ (log1p (- x)) (sqrt (log1p x))) (/ 1 (sqrt (sqrt (log1p x)))) (/ (log1p (- x)) (sqrt (sqrt (log1p x)))) (/ 1 1) (/ (log1p (- x)) (sqrt (log1p x))) (/ 1 (sqrt (log1p x))) (/ (sqrt (log1p x)) (log1p (- x))) (/ (log1p (- x)) (* (cbrt (sqrt (log1p x))) (cbrt (sqrt (log1p x))))) (/ (log1p (- x)) (sqrt (* (cbrt (log1p x)) (cbrt (log1p x))))) (/ (log1p (- x)) (sqrt (sqrt (log1p x)))) (/ (log1p (- x)) (sqrt 1)) (/ (log1p (- x)) (sqrt (sqrt (log1p x)))) (/ (log1p (- x)) 1) (/ (sqrt (log1p x)) (cbrt (log1p (- x)))) (/ (sqrt (log1p 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+ 278421 10.011 * * [simplify]: Extracting #6: cost 280 inf + 421666 10.134 * * [simplify]: Extracting #7: cost 106 inf + 557897 10.308 * * [simplify]: Extracting #8: cost 12 inf + 639498 10.489 * * [simplify]: Extracting #9: cost 0 inf + 649302 10.691 * * [simplify]: Extracting #10: cost 0 inf + 649277 10.909 * [simplify]: Simplified to: (expm1 (/ (log1p (- x)) (sqrt (log1p x)))) (log1p (/ (log1p (- x)) (sqrt (log1p x)))) (log (/ (log1p (- x)) (sqrt (log1p x)))) (log (/ (log1p (- x)) (sqrt (log1p x)))) (exp (/ (log1p (- x)) (sqrt (log1p x)))) (/ (/ (* (* (log1p (- x)) (log1p (- x))) (log1p (- x))) (log1p x)) (sqrt (log1p x))) (* (cbrt (/ (log1p (- x)) (sqrt (log1p x)))) (cbrt (/ (log1p (- x)) (sqrt (log1p x))))) (cbrt (/ (log1p (- x)) (sqrt (log1p x)))) (* (/ (log1p (- x)) (sqrt (log1p x))) (* (/ (log1p (- x)) (sqrt (log1p x))) (/ (log1p (- x)) (sqrt (log1p x))))) (sqrt (/ (log1p (- x)) (sqrt (log1p x)))) (sqrt (/ (log1p (- x)) (sqrt (log1p x)))) (- (log1p (- x))) (- (sqrt (log1p x))) 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