24.030 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.307 * * * [progress]: [2/2] Setting up program. 0.312 * [progress]: [Phase 2 of 3] Improving. 0.312 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.312 * [simplify]: Simplifying: (/ (log (- 1 x)) (log (+ 1 x))) 0.312 * * [simplify]: iteration 1: (7 enodes) 0.314 * * [simplify]: iteration 2: (11 enodes) 0.316 * * [simplify]: iteration 3: (13 enodes) 0.317 * * [simplify]: Extracting #0: cost 1 inf + 0 0.317 * * [simplify]: Extracting #1: cost 3 inf + 0 0.317 * * [simplify]: Extracting #2: cost 7 inf + 0 0.317 * * [simplify]: Extracting #3: cost 5 inf + 133 0.317 * * [simplify]: Extracting #4: cost 2 inf + 526 0.317 * * [simplify]: Extracting #5: cost 0 inf + 572 0.317 * [simplify]: Simplified to: (/ (log (- 1 x)) (log1p x)) 0.324 * * [progress]: iteration 1 / 4 0.324 * * * [progress]: picking best candidate 0.328 * * * * [pick]: Picked # 0.328 * * * [progress]: localizing error 0.339 * * * [progress]: generating rewritten candidates 0.339 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.344 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.362 * * * [progress]: generating series expansions 0.362 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.362 * [backup-simplify]: Simplify (log (- 1 x)) into (log (- 1 x)) 0.362 * [approximate]: Taking taylor expansion of (log (- 1 x)) in (x) around 0 0.362 * [taylor]: Taking taylor expansion of (log (- 1 x)) in x 0.362 * [taylor]: Taking taylor expansion of (- 1 x) in x 0.362 * [taylor]: Taking taylor expansion of 1 in x 0.362 * [backup-simplify]: Simplify 1 into 1 0.362 * [taylor]: Taking taylor expansion of x in x 0.362 * [backup-simplify]: Simplify 0 into 0 0.362 * [backup-simplify]: Simplify 1 into 1 0.363 * [backup-simplify]: Simplify (- 0) into 0 0.363 * [backup-simplify]: Simplify (+ 1 0) into 1 0.363 * [backup-simplify]: Simplify (log 1) into 0 0.363 * [taylor]: Taking taylor expansion of (log (- 1 x)) in x 0.364 * [taylor]: Taking taylor expansion of (- 1 x) in x 0.364 * [taylor]: Taking taylor expansion of 1 in x 0.364 * [backup-simplify]: Simplify 1 into 1 0.364 * [taylor]: Taking taylor expansion of x in x 0.364 * [backup-simplify]: Simplify 0 into 0 0.364 * [backup-simplify]: Simplify 1 into 1 0.364 * [backup-simplify]: Simplify (- 0) into 0 0.364 * [backup-simplify]: Simplify (+ 1 0) into 1 0.364 * [backup-simplify]: Simplify (log 1) into 0 0.364 * [backup-simplify]: Simplify 0 into 0 0.365 * [backup-simplify]: Simplify (- 1) into -1 0.365 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.366 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 0.366 * [backup-simplify]: Simplify -1 into -1 0.366 * [backup-simplify]: Simplify (- 0) into 0 0.366 * [backup-simplify]: Simplify (+ 0 0) into 0 0.368 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.368 * [backup-simplify]: Simplify -1/2 into -1/2 0.368 * [backup-simplify]: Simplify (- 0) into 0 0.368 * [backup-simplify]: Simplify (+ 0 0) into 0 0.371 * [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 0.371 * [backup-simplify]: Simplify -1/3 into -1/3 0.372 * [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))))) 0.372 * [backup-simplify]: Simplify (log (- 1 (/ 1 x))) into (log (- 1 (/ 1 x))) 0.372 * [approximate]: Taking taylor expansion of (log (- 1 (/ 1 x))) in (x) around 0 0.372 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 x))) in x 0.372 * [taylor]: Taking taylor expansion of (- 1 (/ 1 x)) in x 0.372 * [taylor]: Taking taylor expansion of 1 in x 0.372 * [backup-simplify]: Simplify 1 into 1 0.372 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.372 * [taylor]: Taking taylor expansion of x in x 0.372 * [backup-simplify]: Simplify 0 into 0 0.372 * [backup-simplify]: Simplify 1 into 1 0.372 * [backup-simplify]: Simplify (/ 1 1) into 1 0.373 * [backup-simplify]: Simplify (- 1) into -1 0.373 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.373 * [backup-simplify]: Simplify (log -1) into (log -1) 0.373 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 x))) in x 0.373 * [taylor]: Taking taylor expansion of (- 1 (/ 1 x)) in x 0.373 * [taylor]: Taking taylor expansion of 1 in x 0.373 * [backup-simplify]: Simplify 1 into 1 0.373 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.373 * [taylor]: Taking taylor expansion of x in x 0.373 * [backup-simplify]: Simplify 0 into 0 0.373 * [backup-simplify]: Simplify 1 into 1 0.374 * [backup-simplify]: Simplify (/ 1 1) into 1 0.374 * [backup-simplify]: Simplify (- 1) into -1 0.374 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.374 * [backup-simplify]: Simplify (log -1) into (log -1) 0.375 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 0.375 * [backup-simplify]: Simplify (- (log -1) (log x)) into (- (log -1) (log x)) 0.376 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.376 * [backup-simplify]: Simplify (- 0) into 0 0.376 * [backup-simplify]: Simplify (+ 1 0) into 1 0.377 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 0.377 * [backup-simplify]: Simplify -1 into -1 0.378 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.378 * [backup-simplify]: Simplify (- 0) into 0 0.378 * [backup-simplify]: Simplify (+ 0 0) into 0 0.379 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 0.380 * [backup-simplify]: Simplify -1/2 into -1/2 0.380 * [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)))) 0.380 * [backup-simplify]: Simplify (log (- 1 (/ 1 (- x)))) into (log (+ (/ 1 x) 1)) 0.380 * [approximate]: Taking taylor expansion of (log (+ (/ 1 x) 1)) in (x) around 0 0.380 * [taylor]: Taking taylor expansion of (log (+ (/ 1 x) 1)) in x 0.380 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 0.380 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.380 * [taylor]: Taking taylor expansion of x in x 0.380 * [backup-simplify]: Simplify 0 into 0 0.380 * [backup-simplify]: Simplify 1 into 1 0.380 * [backup-simplify]: Simplify (/ 1 1) into 1 0.380 * [taylor]: Taking taylor expansion of 1 in x 0.380 * [backup-simplify]: Simplify 1 into 1 0.381 * [backup-simplify]: Simplify (+ 1 0) into 1 0.381 * [backup-simplify]: Simplify (log 1) into 0 0.381 * [taylor]: Taking taylor expansion of (log (+ (/ 1 x) 1)) in x 0.381 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 0.381 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.381 * [taylor]: Taking taylor expansion of x in x 0.381 * [backup-simplify]: Simplify 0 into 0 0.381 * [backup-simplify]: Simplify 1 into 1 0.381 * [backup-simplify]: Simplify (/ 1 1) into 1 0.381 * [taylor]: Taking taylor expansion of 1 in x 0.381 * [backup-simplify]: Simplify 1 into 1 0.382 * [backup-simplify]: Simplify (+ 1 0) into 1 0.382 * [backup-simplify]: Simplify (log 1) into 0 0.382 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 0.382 * [backup-simplify]: Simplify (- (log x)) into (- (log x)) 0.383 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.383 * [backup-simplify]: Simplify (+ 0 1) into 1 0.384 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.384 * [backup-simplify]: Simplify 1 into 1 0.717 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.717 * [backup-simplify]: Simplify (+ 0 0) into 0 0.720 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.720 * [backup-simplify]: Simplify -1/2 into -1/2 0.720 * [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)))) 0.720 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.720 * [backup-simplify]: Simplify (/ (log (- 1 x)) (log1p x)) into (/ (log (- 1 x)) (log1p x)) 0.720 * [approximate]: Taking taylor expansion of (/ (log (- 1 x)) (log1p x)) in (x) around 0 0.720 * [taylor]: Taking taylor expansion of (/ (log (- 1 x)) (log1p x)) in x 0.720 * [taylor]: Taking taylor expansion of (log (- 1 x)) in x 0.720 * [taylor]: Taking taylor expansion of (- 1 x) in x 0.720 * [taylor]: Taking taylor expansion of 1 in x 0.720 * [backup-simplify]: Simplify 1 into 1 0.720 * [taylor]: Taking taylor expansion of x in x 0.720 * [backup-simplify]: Simplify 0 into 0 0.720 * [backup-simplify]: Simplify 1 into 1 0.721 * [backup-simplify]: Simplify (- 0) into 0 0.721 * [backup-simplify]: Simplify (+ 1 0) into 1 0.722 * [backup-simplify]: Simplify (log 1) into 0 0.722 * [taylor]: Taking taylor expansion of (log1p x) in x 0.722 * [taylor]: Rewrote expression to (log (+ 1 x)) 0.722 * [taylor]: Taking taylor expansion of (+ 1 x) in x 0.722 * [taylor]: Taking taylor expansion of 1 in x 0.722 * [backup-simplify]: Simplify 1 into 1 0.722 * [taylor]: Taking taylor expansion of x in x 0.722 * [backup-simplify]: Simplify 0 into 0 0.722 * [backup-simplify]: Simplify 1 into 1 0.722 * [backup-simplify]: Simplify (+ 1 0) into 1 0.723 * [backup-simplify]: Simplify (log 1) into 0 0.723 * [backup-simplify]: Simplify (- 1) into -1 0.724 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.725 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 0.726 * [backup-simplify]: Simplify (+ 0 1) into 1 0.728 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.728 * [backup-simplify]: Simplify (/ -1 1) into -1 0.729 * [taylor]: Taking taylor expansion of (/ (log (- 1 x)) (log1p x)) in x 0.729 * [taylor]: Taking taylor expansion of (log (- 1 x)) in x 0.729 * [taylor]: Taking taylor expansion of (- 1 x) in x 0.729 * [taylor]: Taking taylor expansion of 1 in x 0.729 * [backup-simplify]: Simplify 1 into 1 0.729 * [taylor]: Taking taylor expansion of x in x 0.729 * [backup-simplify]: Simplify 0 into 0 0.729 * [backup-simplify]: Simplify 1 into 1 0.729 * [backup-simplify]: Simplify (- 0) into 0 0.729 * [backup-simplify]: Simplify (+ 1 0) into 1 0.730 * [backup-simplify]: Simplify (log 1) into 0 0.730 * [taylor]: Taking taylor expansion of (log1p x) in x 0.730 * [taylor]: Rewrote expression to (log (+ 1 x)) 0.730 * [taylor]: Taking taylor expansion of (+ 1 x) in x 0.730 * [taylor]: Taking taylor expansion of 1 in x 0.730 * [backup-simplify]: Simplify 1 into 1 0.730 * [taylor]: Taking taylor expansion of x in x 0.730 * [backup-simplify]: Simplify 0 into 0 0.730 * [backup-simplify]: Simplify 1 into 1 0.731 * [backup-simplify]: Simplify (+ 1 0) into 1 0.731 * [backup-simplify]: Simplify (log 1) into 0 0.731 * [backup-simplify]: Simplify (- 1) into -1 0.732 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.733 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 0.733 * [backup-simplify]: Simplify (+ 0 1) into 1 0.734 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.735 * [backup-simplify]: Simplify (/ -1 1) into -1 0.735 * [backup-simplify]: Simplify -1 into -1 0.735 * [backup-simplify]: Simplify (- 0) into 0 0.736 * [backup-simplify]: Simplify (+ 0 0) into 0 0.738 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.739 * [backup-simplify]: Simplify (+ 0 0) into 0 0.742 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.742 * [backup-simplify]: Simplify (- (/ -1/2 1) (+ (* -1 (/ -1/2 1)))) into -1 0.742 * [backup-simplify]: Simplify -1 into -1 0.743 * [backup-simplify]: Simplify (- 0) into 0 0.743 * [backup-simplify]: Simplify (+ 0 0) into 0 0.749 * [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 0.749 * [backup-simplify]: Simplify (+ 0 0) into 0 0.755 * [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 0.757 * [backup-simplify]: Simplify (- (/ -1/3 1) (+ (* -1 (/ 1/3 1)) (* -1 (/ -1/2 1)))) into -1/2 0.757 * [backup-simplify]: Simplify -1/2 into -1/2 0.757 * [backup-simplify]: Simplify (+ (* -1/2 (pow x 2)) (+ (* -1 x) -1)) into (- (+ x (+ (* 1/2 (pow x 2)) 1))) 0.757 * [backup-simplify]: Simplify (/ (log (- 1 (/ 1 x))) (log1p (/ 1 x))) into (/ (log (- 1 (/ 1 x))) (log1p (/ 1 x))) 0.757 * [approximate]: Taking taylor expansion of (/ (log (- 1 (/ 1 x))) (log1p (/ 1 x))) in (x) around 0 0.757 * [taylor]: Taking taylor expansion of (/ (log (- 1 (/ 1 x))) (log1p (/ 1 x))) in x 0.757 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 x))) in x 0.757 * [taylor]: Taking taylor expansion of (- 1 (/ 1 x)) in x 0.757 * [taylor]: Taking taylor expansion of 1 in x 0.757 * [backup-simplify]: Simplify 1 into 1 0.757 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.758 * [taylor]: Taking taylor expansion of x in x 0.758 * [backup-simplify]: Simplify 0 into 0 0.758 * [backup-simplify]: Simplify 1 into 1 0.758 * [backup-simplify]: Simplify (/ 1 1) into 1 0.758 * [backup-simplify]: Simplify (- 1) into -1 0.759 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.759 * [backup-simplify]: Simplify (log -1) into (log -1) 0.759 * [taylor]: Taking taylor expansion of (log1p (/ 1 x)) in x 0.759 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 x))) 0.759 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 x)) in x 0.760 * [taylor]: Taking taylor expansion of 1 in x 0.760 * [backup-simplify]: Simplify 1 into 1 0.760 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.760 * [taylor]: Taking taylor expansion of x in x 0.760 * [backup-simplify]: Simplify 0 into 0 0.760 * [backup-simplify]: Simplify 1 into 1 0.760 * [backup-simplify]: Simplify (/ 1 1) into 1 0.761 * [backup-simplify]: Simplify (+ 0 1) into 1 0.761 * [backup-simplify]: Simplify (log 1) into 0 0.762 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 0.762 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 0.763 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 0.763 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 0.763 * [backup-simplify]: Simplify (/ (- (log -1) (log x)) (- (log x))) into (* -1 (/ (- (log -1) (log x)) (log x))) 0.763 * [taylor]: Taking taylor expansion of (/ (log (- 1 (/ 1 x))) (log1p (/ 1 x))) in x 0.763 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 x))) in x 0.763 * [taylor]: Taking taylor expansion of (- 1 (/ 1 x)) in x 0.763 * [taylor]: Taking taylor expansion of 1 in x 0.763 * [backup-simplify]: Simplify 1 into 1 0.763 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.763 * [taylor]: Taking taylor expansion of x in x 0.763 * [backup-simplify]: Simplify 0 into 0 0.763 * [backup-simplify]: Simplify 1 into 1 0.763 * [backup-simplify]: Simplify (/ 1 1) into 1 0.764 * [backup-simplify]: Simplify (- 1) into -1 0.764 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.764 * [backup-simplify]: Simplify (log -1) into (log -1) 0.764 * [taylor]: Taking taylor expansion of (log1p (/ 1 x)) in x 0.764 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 x))) 0.764 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 x)) in x 0.764 * [taylor]: Taking taylor expansion of 1 in x 0.764 * [backup-simplify]: Simplify 1 into 1 0.764 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.764 * [taylor]: Taking taylor expansion of x in x 0.764 * [backup-simplify]: Simplify 0 into 0 0.764 * [backup-simplify]: Simplify 1 into 1 0.765 * [backup-simplify]: Simplify (/ 1 1) into 1 0.765 * [backup-simplify]: Simplify (+ 0 1) into 1 0.765 * [backup-simplify]: Simplify (log 1) into 0 0.766 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 0.766 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 0.766 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 0.767 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 0.767 * [backup-simplify]: Simplify (/ (- (log -1) (log x)) (- (log x))) into (* -1 (/ (- (log -1) (log x)) (log x))) 0.768 * [backup-simplify]: Simplify (* -1 (/ (- (log -1) (log x)) (log x))) into (* -1 (/ (- (log -1) (log x)) (log x))) 0.768 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.768 * [backup-simplify]: Simplify (- 0) into 0 0.769 * [backup-simplify]: Simplify (+ 1 0) into 1 0.769 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 0.770 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 0.770 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.770 * [backup-simplify]: Simplify (+ 1 0) into 1 0.771 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.771 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 0.772 * [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))) 0.772 * [backup-simplify]: Simplify (- (* 2 (/ 1 (log x))) (/ (log -1) (pow (log x) 2))) into (- (* 2 (/ 1 (log x))) (/ (log -1) (pow (log x) 2))) 0.773 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.773 * [backup-simplify]: Simplify (- 0) into 0 0.773 * [backup-simplify]: Simplify (+ 0 0) into 0 0.775 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 0.775 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 0.776 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.776 * [backup-simplify]: Simplify (+ 0 0) into 0 0.777 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.778 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 0.778 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 0.779 * [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))) 0.780 * [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))) 0.782 * [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))))) 0.782 * [backup-simplify]: Simplify (/ (log (- 1 (/ 1 (- x)))) (log1p (/ 1 (- x)))) into (/ (log (+ (/ 1 x) 1)) (log1p (/ -1 x))) 0.782 * [approximate]: Taking taylor expansion of (/ (log (+ (/ 1 x) 1)) (log1p (/ -1 x))) in (x) around 0 0.782 * [taylor]: Taking taylor expansion of (/ (log (+ (/ 1 x) 1)) (log1p (/ -1 x))) in x 0.782 * [taylor]: Taking taylor expansion of (log (+ (/ 1 x) 1)) in x 0.782 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 0.782 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.782 * [taylor]: Taking taylor expansion of x in x 0.782 * [backup-simplify]: Simplify 0 into 0 0.782 * [backup-simplify]: Simplify 1 into 1 0.782 * [backup-simplify]: Simplify (/ 1 1) into 1 0.782 * [taylor]: Taking taylor expansion of 1 in x 0.782 * [backup-simplify]: Simplify 1 into 1 0.782 * [backup-simplify]: Simplify (+ 1 0) into 1 0.783 * [backup-simplify]: Simplify (log 1) into 0 0.783 * [taylor]: Taking taylor expansion of (log1p (/ -1 x)) in x 0.783 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 x))) 0.783 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 x)) in x 0.783 * [taylor]: Taking taylor expansion of 1 in x 0.783 * [backup-simplify]: Simplify 1 into 1 0.783 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.783 * [taylor]: Taking taylor expansion of -1 in x 0.783 * [backup-simplify]: Simplify -1 into -1 0.783 * [taylor]: Taking taylor expansion of x in x 0.783 * [backup-simplify]: Simplify 0 into 0 0.783 * [backup-simplify]: Simplify 1 into 1 0.783 * [backup-simplify]: Simplify (/ -1 1) into -1 0.783 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.784 * [backup-simplify]: Simplify (log -1) into (log -1) 0.784 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 0.785 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 0.785 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 0.785 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 0.786 * [backup-simplify]: Simplify (/ (- (log x)) (- (log -1) (log x))) into (* -1 (/ (log x) (- (log -1) (log x)))) 0.786 * [taylor]: Taking taylor expansion of (/ (log (+ (/ 1 x) 1)) (log1p (/ -1 x))) in x 0.786 * [taylor]: Taking taylor expansion of (log (+ (/ 1 x) 1)) in x 0.786 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 0.786 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.786 * [taylor]: Taking taylor expansion of x in x 0.786 * [backup-simplify]: Simplify 0 into 0 0.786 * [backup-simplify]: Simplify 1 into 1 0.786 * [backup-simplify]: Simplify (/ 1 1) into 1 0.786 * [taylor]: Taking taylor expansion of 1 in x 0.786 * [backup-simplify]: Simplify 1 into 1 0.786 * [backup-simplify]: Simplify (+ 1 0) into 1 0.786 * [backup-simplify]: Simplify (log 1) into 0 0.787 * [taylor]: Taking taylor expansion of (log1p (/ -1 x)) in x 0.787 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 x))) 0.787 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 x)) in x 0.787 * [taylor]: Taking taylor expansion of 1 in x 0.787 * [backup-simplify]: Simplify 1 into 1 0.787 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.787 * [taylor]: Taking taylor expansion of -1 in x 0.787 * [backup-simplify]: Simplify -1 into -1 0.787 * [taylor]: Taking taylor expansion of x in x 0.787 * [backup-simplify]: Simplify 0 into 0 0.787 * [backup-simplify]: Simplify 1 into 1 0.787 * [backup-simplify]: Simplify (/ -1 1) into -1 0.787 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.787 * [backup-simplify]: Simplify (log -1) into (log -1) 0.788 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 0.788 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 0.789 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 0.789 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 0.789 * [backup-simplify]: Simplify (/ (- (log x)) (- (log -1) (log x))) into (* -1 (/ (log x) (- (log -1) (log x)))) 0.790 * [backup-simplify]: Simplify (* -1 (/ (log x) (- (log -1) (log x)))) into (* -1 (/ (log x) (- (log -1) (log x)))) 0.790 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.791 * [backup-simplify]: Simplify (+ 0 1) into 1 0.791 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.792 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 0.792 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.793 * [backup-simplify]: Simplify (+ 1 0) into 1 0.793 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 0.794 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 0.795 * [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))) 0.796 * [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))) 0.797 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.798 * [backup-simplify]: Simplify (+ 0 0) into 0 0.801 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.802 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 0.803 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.803 * [backup-simplify]: Simplify (+ 0 0) into 0 0.806 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 0.807 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 0.807 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 0.810 * [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)))))) 0.813 * [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)))))) 0.817 * [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))))))))))) 0.817 * * * [progress]: simplifying candidates 0.817 * * * * [progress]: [ 1 / 62 ] simplifiying candidate # 0.818 * * * * [progress]: [ 2 / 62 ] simplifiying candidate # 0.818 * * * * [progress]: [ 3 / 62 ] simplifiying candidate # 0.818 * * * * [progress]: [ 4 / 62 ] simplifiying candidate # 0.818 * * * * [progress]: [ 5 / 62 ] simplifiying candidate # 0.818 * * * * [progress]: [ 6 / 62 ] simplifiying candidate # 0.818 * * * * [progress]: [ 7 / 62 ] simplifiying candidate # 0.818 * * * * [progress]: [ 8 / 62 ] simplifiying candidate # 0.818 * * * * [progress]: [ 9 / 62 ] simplifiying candidate # 0.818 * * * * [progress]: [ 10 / 62 ] simplifiying candidate # 0.818 * * * * [progress]: [ 11 / 62 ] simplifiying candidate # 0.818 * * * * [progress]: [ 12 / 62 ] simplifiying candidate # 0.818 * * * * [progress]: [ 13 / 62 ] simplifiying candidate # 0.818 * * * * [progress]: [ 14 / 62 ] simplifiying candidate # 0.818 * * * * [progress]: [ 15 / 62 ] simplifiying candidate # 0.818 * * * * [progress]: [ 16 / 62 ] simplifiying candidate # 0.818 * * * * [progress]: [ 17 / 62 ] simplifiying candidate # 0.818 * * * * [progress]: [ 18 / 62 ] simplifiying candidate # 0.819 * * * * [progress]: [ 19 / 62 ] simplifiying candidate # 0.819 * * * * [progress]: [ 20 / 62 ] simplifiying candidate # 0.819 * * * * [progress]: [ 21 / 62 ] simplifiying candidate # 0.819 * * * * [progress]: [ 22 / 62 ] simplifiying candidate # 0.819 * * * * [progress]: [ 23 / 62 ] simplifiying candidate # 0.819 * * * * [progress]: [ 24 / 62 ] simplifiying candidate # 0.819 * * * * [progress]: [ 25 / 62 ] simplifiying candidate # 0.819 * * * * [progress]: [ 26 / 62 ] simplifiying candidate # 0.819 * * * * [progress]: [ 27 / 62 ] simplifiying candidate # 0.819 * * * * [progress]: [ 28 / 62 ] simplifiying candidate # 0.819 * * * * [progress]: [ 29 / 62 ] simplifiying candidate # 0.819 * * * * [progress]: [ 30 / 62 ] simplifiying candidate # 0.819 * * * * [progress]: [ 31 / 62 ] simplifiying candidate # 0.819 * * * * [progress]: [ 32 / 62 ] simplifiying candidate # 0.819 * * * * [progress]: [ 33 / 62 ] simplifiying candidate # 0.819 * * * * [progress]: [ 34 / 62 ] simplifiying candidate # 0.819 * * * * [progress]: [ 35 / 62 ] simplifiying candidate # 0.819 * * * * [progress]: [ 36 / 62 ] simplifiying candidate # 0.820 * * * * [progress]: [ 37 / 62 ] simplifiying candidate # 0.820 * * * * [progress]: [ 38 / 62 ] simplifiying candidate # 0.820 * * * * [progress]: [ 39 / 62 ] simplifiying candidate # 0.820 * * * * [progress]: [ 40 / 62 ] simplifiying candidate # 0.820 * * * * [progress]: [ 41 / 62 ] simplifiying candidate # 0.820 * * * * [progress]: [ 42 / 62 ] simplifiying candidate # 0.820 * * * * [progress]: [ 43 / 62 ] simplifiying candidate # 0.820 * * * * [progress]: [ 44 / 62 ] simplifiying candidate # 0.820 * * * * [progress]: [ 45 / 62 ] simplifiying candidate # 0.820 * * * * [progress]: [ 46 / 62 ] simplifiying candidate # 0.820 * * * * [progress]: [ 47 / 62 ] simplifiying candidate # 0.820 * * * * [progress]: [ 48 / 62 ] simplifiying candidate # 0.820 * * * * [progress]: [ 49 / 62 ] simplifiying candidate # 0.820 * * * * [progress]: [ 50 / 62 ] simplifiying candidate # 0.820 * * * * [progress]: [ 51 / 62 ] simplifiying candidate # 0.820 * * * * [progress]: [ 52 / 62 ] simplifiying candidate # 0.820 * * * * [progress]: [ 53 / 62 ] simplifiying candidate # 0.820 * * * * [progress]: [ 54 / 62 ] simplifiying candidate # 0.821 * * * * [progress]: [ 55 / 62 ] simplifiying candidate # 0.821 * * * * [progress]: [ 56 / 62 ] simplifiying candidate # 0.821 * * * * [progress]: [ 57 / 62 ] simplifiying candidate # 0.821 * * * * [progress]: [ 58 / 62 ] simplifiying candidate # 0.821 * * * * [progress]: [ 59 / 62 ] simplifiying candidate # 0.821 * * * * [progress]: [ 60 / 62 ] simplifiying candidate # 0.821 * * * * [progress]: [ 61 / 62 ] simplifiying candidate # 0.821 * * * * [progress]: [ 62 / 62 ] simplifiying candidate # 0.822 * [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))) (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))) (- (+ 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))))))))))) 0.823 * * [simplify]: iteration 1: (161 enodes) 0.879 * * [simplify]: iteration 2: (367 enodes) 1.040 * * [simplify]: iteration 3: (1051 enodes) 1.953 * * [simplify]: Extracting #0: cost 60 inf + 0 1.954 * * [simplify]: Extracting #1: cost 343 inf + 2 1.959 * * [simplify]: Extracting #2: cost 751 inf + 3471 1.971 * * [simplify]: Extracting #3: cost 788 inf + 38241 2.016 * * [simplify]: Extracting #4: cost 368 inf + 175792 2.140 * * [simplify]: Extracting #5: cost 53 inf + 344043 2.269 * * [simplify]: Extracting #6: cost 1 inf + 371386 2.412 * * [simplify]: Extracting #7: cost 0 inf + 371058 2.546 * [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))) (expm1 (/ (log (- 1 x)) (log1p x))) (log1p (/ (log (- 1 x)) (log1p x))) (- (log (log (- 1 x))) (log (log1p x))) (log (/ (log (- 1 x)) (log1p x))) (exp (/ (log (- 1 x)) (log1p x))) (* (/ (log (- 1 x)) (log1p x)) (* (/ (log (- 1 x)) (log1p x)) (/ (log (- 1 x)) (log1p x)))) (* (cbrt (/ (log (- 1 x)) (log1p x))) (cbrt (/ (log (- 1 x)) (log1p x)))) (cbrt (/ (log (- 1 x)) (log1p x))) (* (/ (log (- 1 x)) (log1p x)) (* (/ (log (- 1 x)) (log1p x)) (/ (log (- 1 x)) (log1p x)))) (sqrt (/ (log (- 1 x)) (log1p x))) (sqrt (/ (log (- 1 x)) (log1p x))) (- (log (- 1 x))) (- (log1p x)) (/ (log (- 1 (* x (* x x)))) (log1p x)) (/ (log1p (fma x x x)) (log1p x)) (/ (log (- 1 (* x x))) (log1p x)) (/ (log1p x) (log1p x)) (/ 1 (* (cbrt (log1p x)) (cbrt (log1p x)))) (/ (log (- 1 x)) (cbrt (log1p x))) (/ 1 (sqrt (log1p x))) (/ (log (- 1 x)) (sqrt (log1p x))) 1 (/ (log (- 1 x)) (log1p x)) (* (/ (cbrt (log (- 1 x))) (cbrt (log1p x))) (/ (cbrt (log (- 1 x))) (cbrt (log1p x)))) (/ (cbrt (log (- 1 x))) (cbrt (log1p x))) (/ (cbrt (log (- 1 x))) (/ (sqrt (log1p x)) (cbrt (log (- 1 x))))) (/ (cbrt (log (- 1 x))) (sqrt (log1p x))) (* (cbrt (log (- 1 x))) (cbrt (log (- 1 x)))) (/ (cbrt (log (- 1 x))) (log1p x)) (/ (sqrt (log (- 1 x))) (* (cbrt (log1p x)) (cbrt (log1p x)))) (/ (sqrt (log (- 1 x))) (cbrt (log1p x))) (/ (sqrt (log (- 1 x))) (sqrt (log1p x))) (/ (sqrt (log (- 1 x))) (sqrt (log1p x))) (sqrt (log (- 1 x))) (/ (sqrt (log (- 1 x))) (log1p x)) (/ 1 (* (cbrt (log1p x)) (cbrt (log1p x)))) (/ (log (- 1 x)) (cbrt (log1p x))) (/ 1 (sqrt (log1p x))) (/ (log (- 1 x)) (sqrt (log1p x))) 1 (/ (log (- 1 x)) (log1p x)) (/ 1 (log1p x)) (/ (log1p x) (log (- 1 x))) (/ (log (- 1 x)) (* (cbrt (log1p x)) (cbrt (log1p x)))) (/ (log (- 1 x)) (sqrt (log1p x))) (log (- 1 x)) (/ (log1p x) (log (- 1 x))) (/ (log1p x) (cbrt (log (- 1 x)))) (/ (log1p x) (sqrt (log (- 1 x)))) (/ (log1p x) (log (- 1 x))) (- (fma (* x (* x x)) 1/3 (fma 1/2 (* x x) x))) (- (log -1) (fma (/ (/ 1 x) x) 1/2 (- (/ 1 x) (log x)))) (- (- (/ -1 x) (/ 1/2 (* x x))) (log (/ -1 x))) (- (+ (* (* x x) -1/2) -1) x) (+ (- (- (/ 2 (* (* x (log x)) (* x (log x)))) (/ (log -1) (* (* (* x (log x)) (* x (log x))) (- (log x))))) (+ (/ (log -1) (- (log x))) (/ (/ (log -1) x) (* (log x) (log x))))) (fma 1/2 (/ (log -1) (* (* x (log x)) (* x (log x)))) (+ 1 (/ (/ 2 x) (- (log x)))))) (- (+ (/ (/ (log (/ -1 x)) x) (* (+ 0 (log x)) (+ 0 (log x)))) (/ 1 (* (* (+ 0 (log x)) x) (* (+ 0 (log x)) x)))) (+ (+ (+ (* (/ 1/2 (* (* (+ 0 (log x)) x) (* (+ 0 (log x)) x))) (log (/ -1 x))) (/ (/ 1 x) (+ 0 (log x)))) (+ (/ (log (/ -1 x)) (+ 0 (log x))) (/ (/ (log (/ -1 x)) (+ 0 (log x))) (* (* (+ 0 (log x)) x) (* (+ 0 (log x)) x))))) (/ (/ 1/2 (* (+ 0 (log x)) x)) x))) 2.549 * * * [progress]: adding candidates to table 2.868 * * [progress]: iteration 2 / 4 2.868 * * * [progress]: picking best candidate 2.871 * * * * [pick]: Picked # 2.872 * * * [progress]: localizing error 2.884 * * * [progress]: generating rewritten candidates 2.884 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 2.891 * * * [progress]: generating series expansions 2.892 * * * * [progress]: [ 1 / 1 ] generating series at (2) 2.892 * [backup-simplify]: Simplify (/ (log1p (- x)) (log1p x)) into (/ (log1p (- x)) (log1p x)) 2.892 * [approximate]: Taking taylor expansion of (/ (log1p (- x)) (log1p x)) in (x) around 0 2.892 * [taylor]: Taking taylor expansion of (/ (log1p (- x)) (log1p x)) in x 2.892 * [taylor]: Taking taylor expansion of (log1p (- x)) in x 2.892 * [taylor]: Rewrote expression to (log (+ 1 (- x))) 2.892 * [taylor]: Taking taylor expansion of (+ 1 (- x)) in x 2.892 * [taylor]: Taking taylor expansion of 1 in x 2.892 * [backup-simplify]: Simplify 1 into 1 2.892 * [taylor]: Taking taylor expansion of (- x) in x 2.892 * [taylor]: Taking taylor expansion of x in x 2.892 * [backup-simplify]: Simplify 0 into 0 2.892 * [backup-simplify]: Simplify 1 into 1 2.893 * [backup-simplify]: Simplify (- 0) into 0 2.893 * [backup-simplify]: Simplify (+ 1 0) into 1 2.893 * [backup-simplify]: Simplify (log 1) into 0 2.894 * [taylor]: Taking taylor expansion of (log1p x) in x 2.894 * [taylor]: Rewrote expression to (log (+ 1 x)) 2.894 * [taylor]: Taking taylor expansion of (+ 1 x) in x 2.894 * [taylor]: Taking taylor expansion of 1 in x 2.894 * [backup-simplify]: Simplify 1 into 1 2.894 * [taylor]: Taking taylor expansion of x in x 2.894 * [backup-simplify]: Simplify 0 into 0 2.894 * [backup-simplify]: Simplify 1 into 1 2.894 * [backup-simplify]: Simplify (+ 1 0) into 1 2.894 * [backup-simplify]: Simplify (log 1) into 0 2.895 * [backup-simplify]: Simplify (- 1) into -1 2.895 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.897 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 2.897 * [backup-simplify]: Simplify (+ 0 1) into 1 2.898 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 2.898 * [backup-simplify]: Simplify (/ -1 1) into -1 2.898 * [taylor]: Taking taylor expansion of (/ (log1p (- x)) (log1p x)) in x 2.898 * [taylor]: Taking taylor expansion of (log1p (- x)) in x 2.898 * [taylor]: Rewrote expression to (log (+ 1 (- x))) 2.898 * [taylor]: Taking taylor expansion of (+ 1 (- x)) in x 2.898 * [taylor]: Taking taylor expansion of 1 in x 2.898 * [backup-simplify]: Simplify 1 into 1 2.898 * [taylor]: Taking taylor expansion of (- x) in x 2.898 * [taylor]: Taking taylor expansion of x in x 2.898 * [backup-simplify]: Simplify 0 into 0 2.898 * [backup-simplify]: Simplify 1 into 1 2.899 * [backup-simplify]: Simplify (- 0) into 0 2.899 * [backup-simplify]: Simplify (+ 1 0) into 1 2.899 * [backup-simplify]: Simplify (log 1) into 0 2.899 * [taylor]: Taking taylor expansion of (log1p x) in x 2.899 * [taylor]: Rewrote expression to (log (+ 1 x)) 2.899 * [taylor]: Taking taylor expansion of (+ 1 x) in x 2.899 * [taylor]: Taking taylor expansion of 1 in x 2.899 * [backup-simplify]: Simplify 1 into 1 2.900 * [taylor]: Taking taylor expansion of x in x 2.900 * [backup-simplify]: Simplify 0 into 0 2.900 * [backup-simplify]: Simplify 1 into 1 2.900 * [backup-simplify]: Simplify (+ 1 0) into 1 2.900 * [backup-simplify]: Simplify (log 1) into 0 2.901 * [backup-simplify]: Simplify (- 1) into -1 2.901 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.902 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 2.903 * [backup-simplify]: Simplify (+ 0 1) into 1 2.904 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 2.904 * [backup-simplify]: Simplify (/ -1 1) into -1 2.904 * [backup-simplify]: Simplify -1 into -1 2.905 * [backup-simplify]: Simplify (- 0) into 0 2.905 * [backup-simplify]: Simplify (+ 0 0) into 0 2.908 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 2.908 * [backup-simplify]: Simplify (+ 0 0) into 0 2.911 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 2.912 * [backup-simplify]: Simplify (- (/ -1/2 1) (+ (* -1 (/ -1/2 1)))) into -1 2.912 * [backup-simplify]: Simplify -1 into -1 2.912 * [backup-simplify]: Simplify (- 0) into 0 2.913 * [backup-simplify]: Simplify (+ 0 0) into 0 2.918 * [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 2.918 * [backup-simplify]: Simplify (+ 0 0) into 0 2.921 * [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 2.922 * [backup-simplify]: Simplify (- (/ -1/3 1) (+ (* -1 (/ 1/3 1)) (* -1 (/ -1/2 1)))) into -1/2 2.922 * [backup-simplify]: Simplify -1/2 into -1/2 2.922 * [backup-simplify]: Simplify (+ (* -1/2 (pow x 2)) (+ (* -1 x) -1)) into (- (+ x (+ (* 1/2 (pow x 2)) 1))) 2.922 * [backup-simplify]: Simplify (/ (log1p (- (/ 1 x))) (log1p (/ 1 x))) into (/ (log1p (- (/ 1 x))) (log1p (/ 1 x))) 2.922 * [approximate]: Taking taylor expansion of (/ (log1p (- (/ 1 x))) (log1p (/ 1 x))) in (x) around 0 2.922 * [taylor]: Taking taylor expansion of (/ (log1p (- (/ 1 x))) (log1p (/ 1 x))) in x 2.922 * [taylor]: Taking taylor expansion of (log1p (- (/ 1 x))) in x 2.922 * [taylor]: Rewrote expression to (log (+ 1 (- (/ 1 x)))) 2.922 * [taylor]: Taking taylor expansion of (+ 1 (- (/ 1 x))) in x 2.922 * [taylor]: Taking taylor expansion of 1 in x 2.922 * [backup-simplify]: Simplify 1 into 1 2.922 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 2.922 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.922 * [taylor]: Taking taylor expansion of x in x 2.922 * [backup-simplify]: Simplify 0 into 0 2.922 * [backup-simplify]: Simplify 1 into 1 2.923 * [backup-simplify]: Simplify (/ 1 1) into 1 2.923 * [backup-simplify]: Simplify (- 1) into -1 2.924 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.924 * [backup-simplify]: Simplify (log -1) into (log -1) 2.924 * [taylor]: Taking taylor expansion of (log1p (/ 1 x)) in x 2.924 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 x))) 2.924 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 x)) in x 2.924 * [taylor]: Taking taylor expansion of 1 in x 2.924 * [backup-simplify]: Simplify 1 into 1 2.924 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.924 * [taylor]: Taking taylor expansion of x in x 2.924 * [backup-simplify]: Simplify 0 into 0 2.924 * [backup-simplify]: Simplify 1 into 1 2.925 * [backup-simplify]: Simplify (/ 1 1) into 1 2.925 * [backup-simplify]: Simplify (+ 0 1) into 1 2.925 * [backup-simplify]: Simplify (log 1) into 0 2.926 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 2.927 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 2.927 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 2.928 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 2.928 * [backup-simplify]: Simplify (/ (- (log -1) (log x)) (- (log x))) into (* -1 (/ (- (log -1) (log x)) (log x))) 2.928 * [taylor]: Taking taylor expansion of (/ (log1p (- (/ 1 x))) (log1p (/ 1 x))) in x 2.928 * [taylor]: Taking taylor expansion of (log1p (- (/ 1 x))) in x 2.928 * [taylor]: Rewrote expression to (log (+ 1 (- (/ 1 x)))) 2.928 * [taylor]: Taking taylor expansion of (+ 1 (- (/ 1 x))) in x 2.928 * [taylor]: Taking taylor expansion of 1 in x 2.929 * [backup-simplify]: Simplify 1 into 1 2.929 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 2.929 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.929 * [taylor]: Taking taylor expansion of x in x 2.929 * [backup-simplify]: Simplify 0 into 0 2.929 * [backup-simplify]: Simplify 1 into 1 2.929 * [backup-simplify]: Simplify (/ 1 1) into 1 2.929 * [backup-simplify]: Simplify (- 1) into -1 2.930 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.930 * [backup-simplify]: Simplify (log -1) into (log -1) 2.930 * [taylor]: Taking taylor expansion of (log1p (/ 1 x)) in x 2.930 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 x))) 2.930 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 x)) in x 2.930 * [taylor]: Taking taylor expansion of 1 in x 2.930 * [backup-simplify]: Simplify 1 into 1 2.930 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.930 * [taylor]: Taking taylor expansion of x in x 2.930 * [backup-simplify]: Simplify 0 into 0 2.930 * [backup-simplify]: Simplify 1 into 1 2.931 * [backup-simplify]: Simplify (/ 1 1) into 1 2.931 * [backup-simplify]: Simplify (+ 0 1) into 1 2.931 * [backup-simplify]: Simplify (log 1) into 0 2.932 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 2.932 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 2.932 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 2.933 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 2.933 * [backup-simplify]: Simplify (/ (- (log -1) (log x)) (- (log x))) into (* -1 (/ (- (log -1) (log x)) (log x))) 2.933 * [backup-simplify]: Simplify (* -1 (/ (- (log -1) (log x)) (log x))) into (* -1 (/ (- (log -1) (log x)) (log x))) 2.934 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.934 * [backup-simplify]: Simplify (- 0) into 0 2.935 * [backup-simplify]: Simplify (+ 1 0) into 1 2.936 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 2.936 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 2.937 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.937 * [backup-simplify]: Simplify (+ 1 0) into 1 2.938 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 2.939 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 2.939 * [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))) 2.940 * [backup-simplify]: Simplify (- (* 2 (/ 1 (log x))) (/ (log -1) (pow (log x) 2))) into (- (* 2 (/ 1 (log x))) (/ (log -1) (pow (log x) 2))) 2.941 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.941 * [backup-simplify]: Simplify (- 0) into 0 2.941 * [backup-simplify]: Simplify (+ 0 0) into 0 2.945 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 2.945 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 2.946 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.946 * [backup-simplify]: Simplify (+ 0 0) into 0 2.949 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 2.950 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 2.950 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 2.951 * [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))) 2.953 * [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))) 2.955 * [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))))) 2.956 * [backup-simplify]: Simplify (/ (log1p (- (/ 1 (- x)))) (log1p (/ 1 (- x)))) into (/ (log1p (/ 1 x)) (log1p (/ -1 x))) 2.956 * [approximate]: Taking taylor expansion of (/ (log1p (/ 1 x)) (log1p (/ -1 x))) in (x) around 0 2.956 * [taylor]: Taking taylor expansion of (/ (log1p (/ 1 x)) (log1p (/ -1 x))) in x 2.956 * [taylor]: Taking taylor expansion of (log1p (/ 1 x)) in x 2.956 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 x))) 2.956 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 x)) in x 2.956 * [taylor]: Taking taylor expansion of 1 in x 2.956 * [backup-simplify]: Simplify 1 into 1 2.956 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.956 * [taylor]: Taking taylor expansion of x in x 2.956 * [backup-simplify]: Simplify 0 into 0 2.956 * [backup-simplify]: Simplify 1 into 1 2.956 * [backup-simplify]: Simplify (/ 1 1) into 1 2.957 * [backup-simplify]: Simplify (+ 0 1) into 1 2.957 * [backup-simplify]: Simplify (log 1) into 0 2.957 * [taylor]: Taking taylor expansion of (log1p (/ -1 x)) in x 2.957 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 x))) 2.957 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 x)) in x 2.957 * [taylor]: Taking taylor expansion of 1 in x 2.957 * [backup-simplify]: Simplify 1 into 1 2.957 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.957 * [taylor]: Taking taylor expansion of -1 in x 2.957 * [backup-simplify]: Simplify -1 into -1 2.957 * [taylor]: Taking taylor expansion of x in x 2.957 * [backup-simplify]: Simplify 0 into 0 2.957 * [backup-simplify]: Simplify 1 into 1 2.958 * [backup-simplify]: Simplify (/ -1 1) into -1 2.958 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.958 * [backup-simplify]: Simplify (log -1) into (log -1) 2.959 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 2.960 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 2.960 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 2.961 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 2.961 * [backup-simplify]: Simplify (/ (- (log x)) (- (log -1) (log x))) into (* -1 (/ (log x) (- (log -1) (log x)))) 2.962 * [taylor]: Taking taylor expansion of (/ (log1p (/ 1 x)) (log1p (/ -1 x))) in x 2.962 * [taylor]: Taking taylor expansion of (log1p (/ 1 x)) in x 2.962 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 x))) 2.962 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 x)) in x 2.962 * [taylor]: Taking taylor expansion of 1 in x 2.962 * [backup-simplify]: Simplify 1 into 1 2.962 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.962 * [taylor]: Taking taylor expansion of x in x 2.962 * [backup-simplify]: Simplify 0 into 0 2.962 * [backup-simplify]: Simplify 1 into 1 2.962 * [backup-simplify]: Simplify (/ 1 1) into 1 2.963 * [backup-simplify]: Simplify (+ 0 1) into 1 2.963 * [backup-simplify]: Simplify (log 1) into 0 2.963 * [taylor]: Taking taylor expansion of (log1p (/ -1 x)) in x 2.963 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 x))) 2.963 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 x)) in x 2.963 * [taylor]: Taking taylor expansion of 1 in x 2.963 * [backup-simplify]: Simplify 1 into 1 2.963 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.963 * [taylor]: Taking taylor expansion of -1 in x 2.963 * [backup-simplify]: Simplify -1 into -1 2.963 * [taylor]: Taking taylor expansion of x in x 2.963 * [backup-simplify]: Simplify 0 into 0 2.963 * [backup-simplify]: Simplify 1 into 1 2.964 * [backup-simplify]: Simplify (/ -1 1) into -1 2.964 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.964 * [backup-simplify]: Simplify (log -1) into (log -1) 2.965 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 2.966 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 2.966 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 2.967 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 2.971 * [backup-simplify]: Simplify (/ (- (log x)) (- (log -1) (log x))) into (* -1 (/ (log x) (- (log -1) (log x)))) 2.971 * [backup-simplify]: Simplify (* -1 (/ (log x) (- (log -1) (log x)))) into (* -1 (/ (log x) (- (log -1) (log x)))) 2.972 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.973 * [backup-simplify]: Simplify (+ 1 0) into 1 2.974 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 2.975 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 2.975 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.976 * [backup-simplify]: Simplify (+ 1 0) into 1 2.977 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 2.978 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 2.979 * [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))) 2.980 * [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))) 2.981 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.981 * [backup-simplify]: Simplify (+ 0 0) into 0 2.984 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 2.985 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 2.986 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.986 * [backup-simplify]: Simplify (+ 0 0) into 0 2.989 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 2.990 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 2.990 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 2.993 * [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)))))) 2.996 * [backup-simplify]: Simplify (- (/ 1 (pow (- (log -1) (log x)) 2)) (+ (* 1/2 (/ 1 (- (log -1) (log x)))) (+ (/ (log x) (pow (- (log -1) (log x)) 3)) (* 1/2 (/ (log x) (pow (- (log -1) (log x)) 2)))))) into (- (/ 1 (pow (- (log -1) (log x)) 2)) (+ (* 1/2 (/ 1 (- (log -1) (log x)))) (+ (/ (log x) (pow (- (log -1) (log x)) 3)) (* 1/2 (/ (log x) (pow (- (log -1) (log x)) 2)))))) 3.000 * [backup-simplify]: Simplify (+ (* (- (/ 1 (pow (- (log -1) (log (/ 1 (- x)))) 2)) (+ (* 1/2 (/ 1 (- (log -1) (log (/ 1 (- x)))))) (+ (/ (log (/ 1 (- x))) (pow (- (log -1) (log (/ 1 (- x)))) 3)) (* 1/2 (/ (log (/ 1 (- x))) (pow (- (log -1) (log (/ 1 (- x)))) 2)))))) (pow (/ 1 (- x)) 2)) (+ (* (- (/ 1 (- (log -1) (log (/ 1 (- x))))) (/ (log (/ 1 (- x))) (pow (- (log -1) (log (/ 1 (- x)))) 2))) (/ 1 (- x))) (* -1 (/ (log (/ 1 (- x))) (- (log -1) (log (/ 1 (- x)))))))) into (- (+ (/ (log (/ -1 x)) (* x (pow (- (log -1) (log (/ -1 x))) 2))) (/ 1 (* (pow x 2) (pow (- (log -1) (log (/ -1 x))) 2)))) (+ (/ (log (/ -1 x)) (- (log -1) (log (/ -1 x)))) (+ (/ (log (/ -1 x)) (* (pow x 2) (pow (- (log -1) (log (/ -1 x))) 3))) (+ (/ 1 (* x (- (log -1) (log (/ -1 x))))) (+ (* 1/2 (/ (log (/ -1 x)) (* (pow x 2) (pow (- (log -1) (log (/ -1 x))) 2)))) (* 1/2 (/ 1 (* (pow x 2) (- (log -1) (log (/ -1 x))))))))))) 3.000 * * * [progress]: simplifying candidates 3.000 * * * * [progress]: [ 1 / 32 ] simplifiying candidate # 3.001 * * * * [progress]: [ 2 / 32 ] simplifiying candidate # 3.001 * * * * [progress]: [ 3 / 32 ] simplifiying candidate # 3.001 * * * * [progress]: [ 4 / 32 ] simplifiying candidate # 3.001 * * * * [progress]: [ 5 / 32 ] simplifiying candidate # 3.001 * * * * [progress]: [ 6 / 32 ] simplifiying candidate # 3.001 * * * * [progress]: [ 7 / 32 ] simplifiying candidate # 3.001 * * * * [progress]: [ 8 / 32 ] simplifiying candidate # 3.001 * * * * [progress]: [ 9 / 32 ] simplifiying candidate # 3.001 * * * * [progress]: [ 10 / 32 ] simplifiying candidate # 3.001 * * * * [progress]: [ 11 / 32 ] simplifiying candidate # 3.001 * * * * [progress]: [ 12 / 32 ] simplifiying candidate # 3.001 * * * * [progress]: [ 13 / 32 ] simplifiying candidate # 3.001 * * * * [progress]: [ 14 / 32 ] simplifiying candidate # 3.001 * * * * [progress]: [ 15 / 32 ] simplifiying candidate # 3.001 * * * * [progress]: [ 16 / 32 ] simplifiying candidate # 3.001 * * * * [progress]: [ 17 / 32 ] simplifiying candidate # 3.002 * * * * [progress]: [ 18 / 32 ] simplifiying candidate # 3.002 * * * * [progress]: [ 19 / 32 ] simplifiying candidate # 3.002 * * * * [progress]: [ 20 / 32 ] simplifiying candidate # 3.002 * * * * [progress]: [ 21 / 32 ] simplifiying candidate # 3.002 * * * * [progress]: [ 22 / 32 ] simplifiying candidate # 3.002 * * * * [progress]: [ 23 / 32 ] simplifiying candidate # 3.002 * * * * [progress]: [ 24 / 32 ] simplifiying candidate # 3.002 * * * * [progress]: [ 25 / 32 ] simplifiying candidate # 3.002 * * * * [progress]: [ 26 / 32 ] simplifiying candidate # 3.002 * * * * [progress]: [ 27 / 32 ] simplifiying candidate # 3.002 * * * * [progress]: [ 28 / 32 ] simplifiying candidate # 3.002 * * * * [progress]: [ 29 / 32 ] simplifiying candidate # 3.002 * * * * [progress]: [ 30 / 32 ] simplifiying candidate # 3.002 * * * * [progress]: [ 31 / 32 ] simplifiying candidate # 3.002 * * * * [progress]: [ 32 / 32 ] simplifiying candidate # 3.003 * [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))) (- (+ 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))))))))))) 3.005 * * [simplify]: iteration 1: (111 enodes) 3.048 * * [simplify]: iteration 2: (263 enodes) 3.174 * * [simplify]: iteration 3: (811 enodes) 3.759 * * [simplify]: Extracting #0: cost 36 inf + 0 3.759 * * [simplify]: Extracting #1: cost 275 inf + 1 3.762 * * [simplify]: Extracting #2: cost 636 inf + 513 3.771 * * [simplify]: Extracting #3: cost 682 inf + 33149 3.786 * * [simplify]: Extracting #4: cost 541 inf + 76666 3.830 * * [simplify]: Extracting #5: cost 305 inf + 165994 3.920 * * [simplify]: Extracting #6: cost 81 inf + 282844 4.023 * * [simplify]: Extracting #7: cost 4 inf + 338768 4.100 * * [simplify]: Extracting #8: cost 0 inf + 342603 4.213 * [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))) (/ (sqrt (log1p x)) (cbrt (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))) (- (- -1 (* (* x x) 1/2)) x) (- (+ (fma 1/2 (/ (log -1) (* (* x (log x)) (* x (log x)))) 1) (- (/ (/ 2 x) (- (log x))) (+ (/ (/ (log -1) x) (* (log x) (log x))) (/ (log -1) (- (log x)))))) (- (/ (log -1) (* (- (log x)) (* (* x (log x)) (* x (log x))))) (/ 2 (* (* x (log x)) (* x (log x)))))) (- (+ (/ 1 (* (* x (+ 0 (log x))) (* x (+ 0 (log x))))) (- (- (/ (/ (log (/ -1 x)) x) (* (+ 0 (log x)) (+ 0 (log x)))) (/ (- (log -1) (log x)) (+ 0 (log x)))) (/ (/ (- (log -1) (log x)) (+ 0 (log x))) (* (* x (+ 0 (log x))) (* x (+ 0 (log x))))))) (fma 1/2 (+ (/ (/ (log (/ -1 x)) (* x (+ 0 (log x)))) (* x (+ 0 (log x)))) (/ (/ (/ 1 x) x) (+ 0 (log x)))) (/ (/ 1 x) (+ 0 (log x))))) 4.216 * * * [progress]: adding candidates to table 4.454 * * [progress]: iteration 3 / 4 4.454 * * * [progress]: picking best candidate 4.457 * * * * [pick]: Picked # 4.457 * * * [progress]: localizing error 4.479 * * * [progress]: generating rewritten candidates 4.479 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1 2) 4.504 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 4.527 * * * [progress]: generating series expansions 4.528 * * * * [progress]: [ 1 / 2 ] generating series at (2 1 2) 4.528 * [backup-simplify]: Simplify (* (* x x) 1/2) into (* 1/2 (pow x 2)) 4.528 * [approximate]: Taking taylor expansion of (* 1/2 (pow x 2)) in (x) around 0 4.528 * [taylor]: Taking taylor expansion of (* 1/2 (pow x 2)) in x 4.528 * [taylor]: Taking taylor expansion of 1/2 in x 4.528 * [backup-simplify]: Simplify 1/2 into 1/2 4.528 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.528 * [taylor]: Taking taylor expansion of x in x 4.528 * [backup-simplify]: Simplify 0 into 0 4.528 * [backup-simplify]: Simplify 1 into 1 4.528 * [taylor]: Taking taylor expansion of (* 1/2 (pow x 2)) in x 4.528 * [taylor]: Taking taylor expansion of 1/2 in x 4.528 * [backup-simplify]: Simplify 1/2 into 1/2 4.528 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.528 * [taylor]: Taking taylor expansion of x in x 4.528 * [backup-simplify]: Simplify 0 into 0 4.528 * [backup-simplify]: Simplify 1 into 1 4.529 * [backup-simplify]: Simplify (* 1 1) into 1 4.529 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 4.529 * [backup-simplify]: Simplify 1/2 into 1/2 4.529 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.530 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 4.530 * [backup-simplify]: Simplify 0 into 0 4.531 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.532 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 4.532 * [backup-simplify]: Simplify 0 into 0 4.533 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.534 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.534 * [backup-simplify]: Simplify 0 into 0 4.535 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.537 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.537 * [backup-simplify]: Simplify 0 into 0 4.538 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.539 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.539 * [backup-simplify]: Simplify 0 into 0 4.540 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 4.541 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 4.541 * [backup-simplify]: Simplify 0 into 0 4.541 * [backup-simplify]: Simplify (* 1/2 (pow x 2)) into (* 1/2 (pow x 2)) 4.541 * [backup-simplify]: Simplify (* (* (/ 1 x) (/ 1 x)) 1/2) into (/ 1/2 (pow x 2)) 4.541 * [approximate]: Taking taylor expansion of (/ 1/2 (pow x 2)) in (x) around 0 4.541 * [taylor]: Taking taylor expansion of (/ 1/2 (pow x 2)) in x 4.541 * [taylor]: Taking taylor expansion of 1/2 in x 4.541 * [backup-simplify]: Simplify 1/2 into 1/2 4.541 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.541 * [taylor]: Taking taylor expansion of x in x 4.541 * [backup-simplify]: Simplify 0 into 0 4.541 * [backup-simplify]: Simplify 1 into 1 4.541 * [backup-simplify]: Simplify (* 1 1) into 1 4.542 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.542 * [taylor]: Taking taylor expansion of (/ 1/2 (pow x 2)) in x 4.542 * [taylor]: Taking taylor expansion of 1/2 in x 4.542 * [backup-simplify]: Simplify 1/2 into 1/2 4.542 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.542 * [taylor]: Taking taylor expansion of x in x 4.542 * [backup-simplify]: Simplify 0 into 0 4.542 * [backup-simplify]: Simplify 1 into 1 4.542 * [backup-simplify]: Simplify (* 1 1) into 1 4.542 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.542 * [backup-simplify]: Simplify 1/2 into 1/2 4.543 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.543 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.543 * [backup-simplify]: Simplify 0 into 0 4.544 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.544 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.544 * [backup-simplify]: Simplify 0 into 0 4.545 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.546 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.546 * [backup-simplify]: Simplify 0 into 0 4.546 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.547 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.547 * [backup-simplify]: Simplify 0 into 0 4.548 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.548 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.548 * [backup-simplify]: Simplify 0 into 0 4.549 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 4.550 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.550 * [backup-simplify]: Simplify 0 into 0 4.550 * [backup-simplify]: Simplify (* 1/2 (pow (/ 1 (/ 1 x)) 2)) into (* 1/2 (pow x 2)) 4.550 * [backup-simplify]: Simplify (* (* (/ 1 (- x)) (/ 1 (- x))) 1/2) into (/ 1/2 (pow x 2)) 4.550 * [approximate]: Taking taylor expansion of (/ 1/2 (pow x 2)) in (x) around 0 4.550 * [taylor]: Taking taylor expansion of (/ 1/2 (pow x 2)) in x 4.550 * [taylor]: Taking taylor expansion of 1/2 in x 4.550 * [backup-simplify]: Simplify 1/2 into 1/2 4.550 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.550 * [taylor]: Taking taylor expansion of x in x 4.550 * [backup-simplify]: Simplify 0 into 0 4.550 * [backup-simplify]: Simplify 1 into 1 4.550 * [backup-simplify]: Simplify (* 1 1) into 1 4.551 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.551 * [taylor]: Taking taylor expansion of (/ 1/2 (pow x 2)) in x 4.551 * [taylor]: Taking taylor expansion of 1/2 in x 4.551 * [backup-simplify]: Simplify 1/2 into 1/2 4.551 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.551 * [taylor]: Taking taylor expansion of x in x 4.551 * [backup-simplify]: Simplify 0 into 0 4.551 * [backup-simplify]: Simplify 1 into 1 4.551 * [backup-simplify]: Simplify (* 1 1) into 1 4.551 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.551 * [backup-simplify]: Simplify 1/2 into 1/2 4.552 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.552 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.552 * [backup-simplify]: Simplify 0 into 0 4.553 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.553 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.554 * [backup-simplify]: Simplify 0 into 0 4.554 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.555 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.555 * [backup-simplify]: Simplify 0 into 0 4.555 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.556 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.556 * [backup-simplify]: Simplify 0 into 0 4.557 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.557 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.557 * [backup-simplify]: Simplify 0 into 0 4.559 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 4.559 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.559 * [backup-simplify]: Simplify 0 into 0 4.559 * [backup-simplify]: Simplify (* 1/2 (pow (/ 1 (/ 1 (- x))) 2)) into (* 1/2 (pow x 2)) 4.559 * * * * [progress]: [ 2 / 2 ] generating series at (2) 4.560 * [backup-simplify]: Simplify (- (- -1 (* (* x x) 1/2)) x) into (- (+ x (+ (* 1/2 (pow x 2)) 1))) 4.560 * [approximate]: Taking taylor expansion of (- (+ x (+ (* 1/2 (pow x 2)) 1))) in (x) around 0 4.560 * [taylor]: Taking taylor expansion of (- (+ x (+ (* 1/2 (pow x 2)) 1))) in x 4.560 * [taylor]: Taking taylor expansion of (+ x (+ (* 1/2 (pow x 2)) 1)) in x 4.560 * [taylor]: Taking taylor expansion of x in x 4.560 * [backup-simplify]: Simplify 0 into 0 4.560 * [backup-simplify]: Simplify 1 into 1 4.560 * [taylor]: Taking taylor expansion of (+ (* 1/2 (pow x 2)) 1) in x 4.560 * [taylor]: Taking taylor expansion of (* 1/2 (pow x 2)) in x 4.560 * [taylor]: Taking taylor expansion of 1/2 in x 4.560 * [backup-simplify]: Simplify 1/2 into 1/2 4.560 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.560 * [taylor]: Taking taylor expansion of x in x 4.560 * [backup-simplify]: Simplify 0 into 0 4.560 * [backup-simplify]: Simplify 1 into 1 4.560 * [taylor]: Taking taylor expansion of 1 in x 4.560 * [backup-simplify]: Simplify 1 into 1 4.560 * [taylor]: Taking taylor expansion of (- (+ x (+ (* 1/2 (pow x 2)) 1))) in x 4.560 * [taylor]: Taking taylor expansion of (+ x (+ (* 1/2 (pow x 2)) 1)) in x 4.560 * [taylor]: Taking taylor expansion of x in x 4.560 * [backup-simplify]: Simplify 0 into 0 4.560 * [backup-simplify]: Simplify 1 into 1 4.560 * [taylor]: Taking taylor expansion of (+ (* 1/2 (pow x 2)) 1) in x 4.560 * [taylor]: Taking taylor expansion of (* 1/2 (pow x 2)) in x 4.560 * [taylor]: Taking taylor expansion of 1/2 in x 4.560 * [backup-simplify]: Simplify 1/2 into 1/2 4.560 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.560 * [taylor]: Taking taylor expansion of x in x 4.560 * [backup-simplify]: Simplify 0 into 0 4.560 * [backup-simplify]: Simplify 1 into 1 4.560 * [taylor]: Taking taylor expansion of 1 in x 4.560 * [backup-simplify]: Simplify 1 into 1 4.560 * [backup-simplify]: Simplify (+ 0 1) into 1 4.561 * [backup-simplify]: Simplify (+ 0 1) into 1 4.561 * [backup-simplify]: Simplify (- 1) into -1 4.561 * [backup-simplify]: Simplify -1 into -1 4.561 * [backup-simplify]: Simplify (+ 0 0) into 0 4.562 * [backup-simplify]: Simplify (+ 1 0) into 1 4.562 * [backup-simplify]: Simplify (- 1) into -1 4.562 * [backup-simplify]: Simplify -1 into -1 4.562 * [backup-simplify]: Simplify (* 1 1) into 1 4.563 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 4.563 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 4.563 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 4.563 * [backup-simplify]: Simplify (- 1/2) into -1/2 4.563 * [backup-simplify]: Simplify -1/2 into -1/2 4.564 * [backup-simplify]: Simplify (+ (* -1/2 (pow x 2)) (+ (* -1 x) -1)) into (- (+ x (+ (* 1/2 (pow x 2)) 1))) 4.564 * [backup-simplify]: Simplify (- (- -1 (* (* (/ 1 x) (/ 1 x)) 1/2)) (/ 1 x)) into (- (+ (/ 1 x) (+ (* 1/2 (/ 1 (pow x 2))) 1))) 4.564 * [approximate]: Taking taylor expansion of (- (+ (/ 1 x) (+ (* 1/2 (/ 1 (pow x 2))) 1))) in (x) around 0 4.564 * [taylor]: Taking taylor expansion of (- (+ (/ 1 x) (+ (* 1/2 (/ 1 (pow x 2))) 1))) in x 4.564 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (+ (* 1/2 (/ 1 (pow x 2))) 1)) in x 4.564 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.564 * [taylor]: Taking taylor expansion of x in x 4.564 * [backup-simplify]: Simplify 0 into 0 4.564 * [backup-simplify]: Simplify 1 into 1 4.564 * [backup-simplify]: Simplify (/ 1 1) into 1 4.564 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (pow x 2))) 1) in x 4.564 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow x 2))) in x 4.564 * [taylor]: Taking taylor expansion of 1/2 in x 4.564 * [backup-simplify]: Simplify 1/2 into 1/2 4.564 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.564 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.564 * [taylor]: Taking taylor expansion of x in x 4.564 * [backup-simplify]: Simplify 0 into 0 4.564 * [backup-simplify]: Simplify 1 into 1 4.564 * [backup-simplify]: Simplify (* 1 1) into 1 4.565 * [backup-simplify]: Simplify (/ 1 1) into 1 4.565 * [taylor]: Taking taylor expansion of 1 in x 4.565 * [backup-simplify]: Simplify 1 into 1 4.565 * [taylor]: Taking taylor expansion of (- (+ (/ 1 x) (+ (* 1/2 (/ 1 (pow x 2))) 1))) in x 4.565 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (+ (* 1/2 (/ 1 (pow x 2))) 1)) in x 4.565 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.565 * [taylor]: Taking taylor expansion of x in x 4.565 * [backup-simplify]: Simplify 0 into 0 4.565 * [backup-simplify]: Simplify 1 into 1 4.565 * [backup-simplify]: Simplify (/ 1 1) into 1 4.565 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (pow x 2))) 1) in x 4.565 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow x 2))) in x 4.565 * [taylor]: Taking taylor expansion of 1/2 in x 4.565 * [backup-simplify]: Simplify 1/2 into 1/2 4.565 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.565 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.565 * [taylor]: Taking taylor expansion of x in x 4.565 * [backup-simplify]: Simplify 0 into 0 4.565 * [backup-simplify]: Simplify 1 into 1 4.566 * [backup-simplify]: Simplify (* 1 1) into 1 4.566 * [backup-simplify]: Simplify (/ 1 1) into 1 4.566 * [taylor]: Taking taylor expansion of 1 in x 4.566 * [backup-simplify]: Simplify 1 into 1 4.566 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 4.567 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 4.567 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 4.568 * [backup-simplify]: Simplify (- 1/2) into -1/2 4.568 * [backup-simplify]: Simplify -1/2 into -1/2 4.568 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.569 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.570 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 4.570 * [backup-simplify]: Simplify (+ 0 0) into 0 4.571 * [backup-simplify]: Simplify (+ 1 0) into 1 4.571 * [backup-simplify]: Simplify (- 1) into -1 4.571 * [backup-simplify]: Simplify -1 into -1 4.572 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.573 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.574 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.575 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 4.576 * [backup-simplify]: Simplify (+ 0 1) into 1 4.576 * [backup-simplify]: Simplify (+ 0 1) into 1 4.577 * [backup-simplify]: Simplify (- 1) into -1 4.577 * [backup-simplify]: Simplify -1 into -1 4.577 * [backup-simplify]: Simplify (+ -1 (+ (* -1 (/ 1 (/ 1 x))) (* -1/2 (pow (/ 1 (/ 1 x)) 2)))) into (- (+ x (+ (* 1/2 (pow x 2)) 1))) 4.577 * [backup-simplify]: Simplify (- (- -1 (* (* (/ 1 (- x)) (/ 1 (- x))) 1/2)) (/ 1 (- x))) into (- (/ 1 x) (+ (* 1/2 (/ 1 (pow x 2))) 1)) 4.577 * [approximate]: Taking taylor expansion of (- (/ 1 x) (+ (* 1/2 (/ 1 (pow x 2))) 1)) in (x) around 0 4.577 * [taylor]: Taking taylor expansion of (- (/ 1 x) (+ (* 1/2 (/ 1 (pow x 2))) 1)) in x 4.577 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.577 * [taylor]: Taking taylor expansion of x in x 4.577 * [backup-simplify]: Simplify 0 into 0 4.577 * [backup-simplify]: Simplify 1 into 1 4.578 * [backup-simplify]: Simplify (/ 1 1) into 1 4.578 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (pow x 2))) 1) in x 4.578 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow x 2))) in x 4.578 * [taylor]: Taking taylor expansion of 1/2 in x 4.578 * [backup-simplify]: Simplify 1/2 into 1/2 4.578 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.578 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.578 * [taylor]: Taking taylor expansion of x in x 4.578 * [backup-simplify]: Simplify 0 into 0 4.578 * [backup-simplify]: Simplify 1 into 1 4.579 * [backup-simplify]: Simplify (* 1 1) into 1 4.579 * [backup-simplify]: Simplify (/ 1 1) into 1 4.579 * [taylor]: Taking taylor expansion of 1 in x 4.579 * [backup-simplify]: Simplify 1 into 1 4.579 * [taylor]: Taking taylor expansion of (- (/ 1 x) (+ (* 1/2 (/ 1 (pow x 2))) 1)) in x 4.579 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.579 * [taylor]: Taking taylor expansion of x in x 4.579 * [backup-simplify]: Simplify 0 into 0 4.579 * [backup-simplify]: Simplify 1 into 1 4.579 * [backup-simplify]: Simplify (/ 1 1) into 1 4.579 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (pow x 2))) 1) in x 4.580 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow x 2))) in x 4.580 * [taylor]: Taking taylor expansion of 1/2 in x 4.580 * [backup-simplify]: Simplify 1/2 into 1/2 4.580 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.580 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.580 * [taylor]: Taking taylor expansion of x in x 4.580 * [backup-simplify]: Simplify 0 into 0 4.580 * [backup-simplify]: Simplify 1 into 1 4.580 * [backup-simplify]: Simplify (* 1 1) into 1 4.580 * [backup-simplify]: Simplify (/ 1 1) into 1 4.580 * [taylor]: Taking taylor expansion of 1 in x 4.580 * [backup-simplify]: Simplify 1 into 1 4.581 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 4.581 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 4.582 * [backup-simplify]: Simplify (- 1/2) into -1/2 4.582 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 4.582 * [backup-simplify]: Simplify -1/2 into -1/2 4.583 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.584 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.584 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 4.585 * [backup-simplify]: Simplify (+ 0 0) into 0 4.585 * [backup-simplify]: Simplify (- 0) into 0 4.586 * [backup-simplify]: Simplify (+ 1 0) into 1 4.586 * [backup-simplify]: Simplify 1 into 1 4.587 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.588 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.588 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.589 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 4.590 * [backup-simplify]: Simplify (+ 0 1) into 1 4.590 * [backup-simplify]: Simplify (- 1) into -1 4.591 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.591 * [backup-simplify]: Simplify -1 into -1 4.591 * [backup-simplify]: Simplify (+ -1 (+ (* 1 (/ 1 (/ 1 (- x)))) (* -1/2 (pow (/ 1 (/ 1 (- x))) 2)))) into (- (+ x (+ (* 1/2 (pow x 2)) 1))) 4.591 * * * [progress]: simplifying candidates 4.591 * * * * [progress]: [ 1 / 62 ] simplifiying candidate # 4.591 * * * * [progress]: [ 2 / 62 ] simplifiying candidate # 4.591 * * * * [progress]: [ 3 / 62 ] simplifiying candidate # 4.591 * * * * [progress]: [ 4 / 62 ] simplifiying candidate # 4.592 * * * * [progress]: [ 5 / 62 ] simplifiying candidate # 4.592 * * * * [progress]: [ 6 / 62 ] simplifiying candidate # 4.592 * * * * [progress]: [ 7 / 62 ] simplifiying candidate # 4.592 * * * * [progress]: [ 8 / 62 ] simplifiying candidate # 4.592 * * * * [progress]: [ 9 / 62 ] simplifiying candidate # 4.592 * * * * [progress]: [ 10 / 62 ] simplifiying candidate # 4.592 * * * * [progress]: [ 11 / 62 ] simplifiying candidate # 4.592 * * * * [progress]: [ 12 / 62 ] simplifiying candidate # 4.592 * * * * [progress]: [ 13 / 62 ] simplifiying candidate # 4.592 * * * * [progress]: [ 14 / 62 ] simplifiying candidate # 4.592 * * * * [progress]: [ 15 / 62 ] simplifiying candidate # 4.592 * * * * [progress]: [ 16 / 62 ] simplifiying candidate # 4.592 * * * * [progress]: [ 17 / 62 ] simplifiying candidate # 4.592 * * * * [progress]: [ 18 / 62 ] simplifiying candidate # 4.592 * * * * [progress]: [ 19 / 62 ] simplifiying candidate # 4.592 * * * * [progress]: [ 20 / 62 ] simplifiying candidate # 4.592 * * * * [progress]: [ 21 / 62 ] simplifiying candidate # 4.593 * * * * [progress]: [ 22 / 62 ] simplifiying candidate # 4.593 * * * * [progress]: [ 23 / 62 ] simplifiying candidate # 4.593 * * * * [progress]: [ 24 / 62 ] simplifiying candidate # 4.593 * * * * [progress]: [ 25 / 62 ] simplifiying candidate # 4.593 * * * * [progress]: [ 26 / 62 ] simplifiying candidate # 4.593 * * * * [progress]: [ 27 / 62 ] simplifiying candidate # 4.593 * * * * [progress]: [ 28 / 62 ] simplifiying candidate # 4.593 * * * * [progress]: [ 29 / 62 ] simplifiying candidate # 4.593 * * * * [progress]: [ 30 / 62 ] simplifiying candidate # 4.593 * * * * [progress]: [ 31 / 62 ] simplifiying candidate # 4.593 * * * * [progress]: [ 32 / 62 ] simplifiying candidate # 4.593 * * * * [progress]: [ 33 / 62 ] simplifiying candidate # 4.593 * * * * [progress]: [ 34 / 62 ] simplifiying candidate # 4.593 * * * * [progress]: [ 35 / 62 ] simplifiying candidate # 4.593 * * * * [progress]: [ 36 / 62 ] simplifiying candidate # 4.593 * * * * [progress]: [ 37 / 62 ] simplifiying candidate # 4.594 * * * * [progress]: [ 38 / 62 ] simplifiying candidate # 4.594 * * * * [progress]: [ 39 / 62 ] simplifiying candidate # 4.594 * * * * [progress]: [ 40 / 62 ] simplifiying candidate # 4.594 * * * * [progress]: [ 41 / 62 ] simplifiying candidate # 4.594 * * * * [progress]: [ 42 / 62 ] simplifiying candidate # 4.594 * * * * [progress]: [ 43 / 62 ] simplifiying candidate # 4.594 * * * * [progress]: [ 44 / 62 ] simplifiying candidate # 4.594 * * * * [progress]: [ 45 / 62 ] simplifiying candidate # 4.594 * * * * [progress]: [ 46 / 62 ] simplifiying candidate # 4.594 * * * * [progress]: [ 47 / 62 ] simplifiying candidate # 4.594 * * * * [progress]: [ 48 / 62 ] simplifiying candidate # 4.594 * * * * [progress]: [ 49 / 62 ] simplifiying candidate # 4.594 * * * * [progress]: [ 50 / 62 ] simplifiying candidate # 4.594 * * * * [progress]: [ 51 / 62 ] simplifiying candidate # 4.594 * * * * [progress]: [ 52 / 62 ] simplifiying candidate # 4.594 * * * * [progress]: [ 53 / 62 ] simplifiying candidate # 4.594 * * * * [progress]: [ 54 / 62 ] simplifiying candidate # 4.595 * * * * [progress]: [ 55 / 62 ] simplifiying candidate # 4.595 * * * * [progress]: [ 56 / 62 ] simplifiying candidate # 4.595 * * * * [progress]: [ 57 / 62 ] simplifiying candidate # 4.595 * * * * [progress]: [ 58 / 62 ] simplifiying candidate # 4.595 * * * * [progress]: [ 59 / 62 ] simplifiying candidate # 4.595 * * * * [progress]: [ 60 / 62 ] simplifiying candidate # 4.595 * * * * [progress]: [ 61 / 62 ] simplifiying candidate # 4.595 * * * * [progress]: [ 62 / 62 ] simplifiying candidate # 4.596 * [simplify]: Simplifying: (expm1 (* (* x x) 1/2)) (log1p (* (* x x) 1/2)) (* (* x x) 1/2) (* (* x x) 1/2) (+ (+ (log x) (log x)) (log 1/2)) (+ (log (* x x)) (log 1/2)) (log (* (* x x) 1/2)) (exp (* (* x x) 1/2)) (* (* (* (* x x) x) (* (* x x) x)) (* (* 1/2 1/2) 1/2)) (* (* (* (* x x) (* x x)) (* x x)) (* (* 1/2 1/2) 1/2)) (* (cbrt (* (* x x) 1/2)) (cbrt (* (* x x) 1/2))) (cbrt (* (* x x) 1/2)) (* (* (* (* x x) 1/2) (* (* x x) 1/2)) (* (* x x) 1/2)) (sqrt (* (* x x) 1/2)) (sqrt (* (* x x) 1/2)) (* x (sqrt 1/2)) (* x (sqrt 1/2)) (* (* x x) (* (cbrt 1/2) (cbrt 1/2))) (* (* x x) (sqrt 1/2)) (* (* x x) 1) (* x 1/2) (fma (* (cbrt (- -1 (* (* x x) 1/2))) (cbrt (- -1 (* (* x x) 1/2)))) (cbrt (- -1 (* (* x x) 1/2))) (- (* (cbrt x) (* (cbrt x) (cbrt x))))) (fma (- (cbrt x)) (* (cbrt x) (cbrt x)) (* (cbrt x) (* (cbrt x) (cbrt x)))) (fma (* (cbrt (- -1 (* (* x x) 1/2))) (cbrt (- -1 (* (* x x) 1/2)))) (cbrt (- -1 (* (* x x) 1/2))) (- (* (sqrt x) (sqrt x)))) (fma (- (sqrt x)) (sqrt x) (* (sqrt x) (sqrt x))) (fma (* (cbrt (- -1 (* (* x x) 1/2))) (cbrt (- -1 (* (* x x) 1/2)))) (cbrt (- -1 (* (* x x) 1/2))) (- (* x 1))) (fma (- x) 1 (* x 1)) (fma (sqrt (- -1 (* (* x x) 1/2))) (sqrt (- -1 (* (* x x) 1/2))) (- (* (cbrt x) (* (cbrt x) (cbrt x))))) (fma (- (cbrt x)) (* (cbrt x) (cbrt x)) (* (cbrt x) (* (cbrt x) (cbrt x)))) (fma (sqrt (- -1 (* (* x x) 1/2))) (sqrt (- -1 (* (* x x) 1/2))) (- (* (sqrt x) (sqrt x)))) (fma (- (sqrt x)) (sqrt x) (* (sqrt x) (sqrt x))) (fma (sqrt (- -1 (* (* x x) 1/2))) (sqrt (- -1 (* (* x x) 1/2))) (- (* x 1))) (fma (- x) 1 (* x 1)) (fma 1 (- -1 (* (* x x) 1/2)) (- (* (cbrt x) (* (cbrt x) (cbrt x))))) (fma (- (cbrt x)) (* (cbrt x) (cbrt x)) (* (cbrt x) (* (cbrt x) (cbrt x)))) (fma 1 (- -1 (* (* x x) 1/2)) (- (* (sqrt x) (sqrt x)))) (fma (- (sqrt x)) (sqrt x) (* (sqrt x) (sqrt x))) (fma 1 (- -1 (* (* x x) 1/2)) (- (* x 1))) (fma (- x) 1 (* x 1)) (expm1 (- (- -1 (* (* x x) 1/2)) x)) (log1p (- (- -1 (* (* x x) 1/2)) x)) (- x) (- x) (- x) (/ (/ (exp -1) (exp (* (* x x) 1/2))) (exp x)) (/ (exp (- -1 (* (* x x) 1/2))) (exp x)) (log (- (- -1 (* (* x x) 1/2)) x)) (exp (- (- -1 (* (* x x) 1/2)) x)) (* (cbrt (- (- -1 (* (* x x) 1/2)) x)) (cbrt (- (- -1 (* (* x x) 1/2)) x))) (cbrt (- (- -1 (* (* x x) 1/2)) x)) (* (* (- (- -1 (* (* x x) 1/2)) x) (- (- -1 (* (* x x) 1/2)) x)) (- (- -1 (* (* x x) 1/2)) x)) (sqrt (- (- -1 (* (* x x) 1/2)) x)) (sqrt (- (- -1 (* (* x x) 1/2)) x)) (- (pow (- -1 (* (* x x) 1/2)) 3) (pow x 3)) (+ (* (- -1 (* (* x x) 1/2)) (- -1 (* (* x x) 1/2))) (+ (* x x) (* (- -1 (* (* x x) 1/2)) x))) (- x) (- (* (- -1 (* (* x x) 1/2)) (- -1 (* (* x x) 1/2))) (* x x)) (+ (- -1 (* (* x x) 1/2)) x) (+ (sqrt (- -1 (* (* x x) 1/2))) (sqrt x)) (- (sqrt (- -1 (* (* x x) 1/2))) (sqrt x)) (- (- -1 (* (* x x) 1/2)) x) (- (fma (- 1/2) (* x x) (* 1/2 (* x x))) x) (- (fma (- 1/2) (* x x) (* 1/2 (* x x))) x) (- (fma (- 1/2) (* x x) (* 1/2 (* x x))) x) (- (- (* (* x x) 1/2)) x) (- (- (* (* x x) 1/2)) x) (+ (* (* x x) 1/2) x) (- x) (* 1/2 (pow x 2)) (* 1/2 (pow x 2)) (* 1/2 (pow x 2)) (- (+ x (+ (* 1/2 (pow x 2)) 1))) (- (+ x (+ (* 1/2 (pow x 2)) 1))) (- (+ x (+ (* 1/2 (pow x 2)) 1))) 4.598 * * [simplify]: iteration 1: (106 enodes) 4.630 * * [simplify]: iteration 2: (244 enodes) 4.794 * * [simplify]: iteration 3: (601 enodes) 5.546 * * [simplify]: Extracting #0: cost 35 inf + 0 5.547 * * [simplify]: Extracting #1: cost 234 inf + 0 5.549 * * [simplify]: Extracting #2: cost 490 inf + 5447 5.560 * * [simplify]: Extracting #3: cost 186 inf + 64792 5.594 * * [simplify]: Extracting #4: cost 13 inf + 105829 5.616 * * [simplify]: Extracting #5: cost 0 inf + 109329 5.642 * [simplify]: Simplified to: (expm1 (* 1/2 (* x x))) (log1p (* 1/2 (* x x))) (* 1/2 (* x x)) (* 1/2 (* x x)) (log (* 1/2 (* x x))) (log (* 1/2 (* x x))) (log (* 1/2 (* x x))) (sqrt (exp (* x x))) (* (* (* x x) (* (* x x) (* x x))) 1/8) (* (* (* x x) (* (* x x) (* x x))) 1/8) (* (cbrt (* 1/2 (* x x))) (cbrt (* 1/2 (* x x)))) (cbrt (* 1/2 (* x x))) (* (* (* x x) (* (* x x) (* x x))) 1/8) (sqrt (* 1/2 (* x x))) (sqrt (* 1/2 (* x x))) (* (sqrt 1/2) x) (* (sqrt 1/2) x) (* (* (cbrt 1/2) x) (* (cbrt 1/2) x)) (* (* x (sqrt 1/2)) x) (* x x) (* x 1/2) (- (* (* (cbrt (fma (* x -1/2) x -1)) (cbrt (fma (* x -1/2) x -1))) (cbrt (fma (* x -1/2) x -1))) x) (- x x) (- (* (* (cbrt (fma (* x -1/2) x -1)) (cbrt (fma (* x -1/2) x -1))) (cbrt (fma (* x -1/2) x -1))) x) (- x x) (- (* (* (cbrt (fma (* x -1/2) x -1)) (cbrt (fma (* x -1/2) x -1))) (cbrt (fma (* x -1/2) x -1))) x) (- x x) (- (fma (* x -1/2) x -1) x) (- x x) (- (fma (* x -1/2) x -1) x) (- x x) (- (fma (* x -1/2) x -1) x) (- x x) (- (fma (* x -1/2) x -1) x) (- x x) (- (fma (* x -1/2) x -1) x) (- x x) (- (fma (* x -1/2) x -1) x) (- x x) (expm1 (- (fma (* x -1/2) x -1) x)) (log1p (- (fma (* x -1/2) x -1) x)) (- x) (- x) (- x) (exp (- (fma (* x -1/2) x -1) x)) (exp (- (fma (* x -1/2) x -1) x)) (log (- (fma (* x -1/2) x -1) x)) (exp (- (fma (* x -1/2) x -1) x)) (* (cbrt (- (fma (* x -1/2) x -1) x)) (cbrt (- (fma (* x -1/2) x -1) x))) (cbrt (- (fma (* x -1/2) x -1) x)) (* (- (fma (* x -1/2) x -1) x) (* (- (fma (* x -1/2) x -1) x) (- (fma (* x -1/2) x -1) x))) (sqrt (- (fma (* x -1/2) x -1) x)) (sqrt (- (fma (* x -1/2) x -1) x)) (- (* (* (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) (fma (* x -1/2) x -1) (fma (fma (* x -1/2) x -1) x (* x x))) (- x) (- (* (fma (* x -1/2) x -1) (fma (* x -1/2) x -1)) (* x x)) (+ (fma x (* x -1/2) x) -1) (+ (sqrt x) (sqrt (fma (* x -1/2) x -1))) (- (sqrt (fma (* x -1/2) x -1)) (sqrt x)) (- (fma (* x -1/2) x -1) x) (- (- (* 1/2 (* x x)) (* 1/2 (* x x))) x) (- (- (* 1/2 (* x x)) (* 1/2 (* x x))) x) (- (- (* 1/2 (* x x)) (* 1/2 (* x x))) x) (- (* -1/2 (* x x)) x) (- (* -1/2 (* x x)) x) (fma 1/2 (* x x) x) (- x) (* 1/2 (* x x)) (* 1/2 (* x x)) (* 1/2 (* x x)) (- (fma (* x -1/2) x -1) x) (- (fma (* x -1/2) x -1) x) (- (fma (* x -1/2) x -1) x) 5.648 * * * [progress]: adding candidates to table 6.101 * [progress]: [Phase 3 of 3] Extracting. 6.101 * * [regime]: Finding splitpoints for: (# #) 6.101 * * * [regime-changes]: Trying 1 branch expressions: (x) 6.101 * * * * [regimes]: Trying to branch on x from (# #) 6.132 * * * [regime]: Found split indices: #