25.302 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.167 * * * [progress]: [2/2] Setting up program. 0.172 * [progress]: [Phase 2 of 3] Improving. 0.173 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.173 * [simplify]: Simplifying: (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) 0.173 * * [simplify]: iteration 1: (9 enodes) 0.177 * * [simplify]: iteration 2: (20 enodes) 0.184 * * [simplify]: iteration 3: (49 enodes) 0.198 * * [simplify]: iteration 4: (81 enodes) 0.211 * * [simplify]: iteration 5: (144 enodes) 0.319 * * [simplify]: iteration 6: (280 enodes) 0.437 * * [simplify]: iteration 7: (424 enodes) 0.699 * * [simplify]: iteration 8: (654 enodes) 1.608 * * [simplify]: iteration 9: (1164 enodes) 3.898 * * [simplify]: iteration 10: (1863 enodes) 8.335 * * [simplify]: Extracting #0: cost 1 inf + 0 8.335 * * [simplify]: Extracting #1: cost 52 inf + 0 8.336 * * [simplify]: Extracting #2: cost 171 inf + 75 8.341 * * [simplify]: Extracting #3: cost 107 inf + 10616 8.354 * * [simplify]: Extracting #4: cost 19 inf + 31391 8.379 * * [simplify]: Extracting #5: cost 0 inf + 36189 8.402 * * [simplify]: Extracting #6: cost 0 inf + 36158 8.414 * [simplify]: Simplified to: (+ (fma n (- (log1p n) (log n)) (log1p n)) -1) 8.422 * * [progress]: iteration 1 / 4 8.422 * * * [progress]: picking best candidate 8.425 * * * * [pick]: Picked # 8.425 * * * [progress]: localizing error 8.463 * * * [progress]: generating rewritten candidates 8.463 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 8.476 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 3) 8.477 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1) 8.477 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 8.479 * * * [progress]: generating series expansions 8.479 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 8.479 * [backup-simplify]: Simplify (- (log1p n) (log n)) into (- (log1p n) (log n)) 8.479 * [approximate]: Taking taylor expansion of (- (log1p n) (log n)) in (n) around 0 8.479 * [taylor]: Taking taylor expansion of (- (log1p n) (log n)) in n 8.479 * [taylor]: Taking taylor expansion of (log1p n) in n 8.479 * [taylor]: Rewrote expression to (log (+ 1 n)) 8.479 * [taylor]: Taking taylor expansion of (+ 1 n) in n 8.479 * [taylor]: Taking taylor expansion of 1 in n 8.479 * [backup-simplify]: Simplify 1 into 1 8.479 * [taylor]: Taking taylor expansion of n in n 8.479 * [backup-simplify]: Simplify 0 into 0 8.479 * [backup-simplify]: Simplify 1 into 1 8.480 * [backup-simplify]: Simplify (+ 1 0) into 1 8.480 * [backup-simplify]: Simplify (log 1) into 0 8.480 * [taylor]: Taking taylor expansion of (log n) in n 8.480 * [taylor]: Taking taylor expansion of n in n 8.480 * [backup-simplify]: Simplify 0 into 0 8.480 * [backup-simplify]: Simplify 1 into 1 8.480 * [backup-simplify]: Simplify (log 1) into 0 8.480 * [taylor]: Taking taylor expansion of (- (log1p n) (log n)) in n 8.480 * [taylor]: Taking taylor expansion of (log1p n) in n 8.480 * [taylor]: Rewrote expression to (log (+ 1 n)) 8.480 * [taylor]: Taking taylor expansion of (+ 1 n) in n 8.480 * [taylor]: Taking taylor expansion of 1 in n 8.481 * [backup-simplify]: Simplify 1 into 1 8.481 * [taylor]: Taking taylor expansion of n in n 8.481 * [backup-simplify]: Simplify 0 into 0 8.481 * [backup-simplify]: Simplify 1 into 1 8.481 * [backup-simplify]: Simplify (+ 1 0) into 1 8.481 * [backup-simplify]: Simplify (log 1) into 0 8.481 * [taylor]: Taking taylor expansion of (log n) in n 8.481 * [taylor]: Taking taylor expansion of n in n 8.481 * [backup-simplify]: Simplify 0 into 0 8.481 * [backup-simplify]: Simplify 1 into 1 8.481 * [backup-simplify]: Simplify (log 1) into 0 8.482 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 8.482 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 8.482 * [backup-simplify]: Simplify (+ 0 (- (log n))) into (- (log n)) 8.482 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 8.482 * [backup-simplify]: Simplify (+ 0 1) into 1 8.483 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 8.484 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 8.484 * [backup-simplify]: Simplify (- 0) into 0 8.484 * [backup-simplify]: Simplify (+ 1 0) into 1 8.484 * [backup-simplify]: Simplify 1 into 1 8.484 * [backup-simplify]: Simplify (+ 0 0) into 0 8.486 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 8.487 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 8.488 * [backup-simplify]: Simplify (- 0) into 0 8.488 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 8.488 * [backup-simplify]: Simplify -1/2 into -1/2 8.488 * [backup-simplify]: Simplify (+ (* -1/2 (pow n 2)) (+ (* 1 n) (- (log n)))) into (- n (+ (log n) (* 1/2 (pow n 2)))) 8.488 * [backup-simplify]: Simplify (- (log1p (/ 1 n)) (log (/ 1 n))) into (- (log1p (/ 1 n)) (log (/ 1 n))) 8.488 * [approximate]: Taking taylor expansion of (- (log1p (/ 1 n)) (log (/ 1 n))) in (n) around 0 8.488 * [taylor]: Taking taylor expansion of (- (log1p (/ 1 n)) (log (/ 1 n))) in n 8.488 * [taylor]: Taking taylor expansion of (log1p (/ 1 n)) in n 8.488 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 n))) 8.488 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 n)) in n 8.488 * [taylor]: Taking taylor expansion of 1 in n 8.488 * [backup-simplify]: Simplify 1 into 1 8.488 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.488 * [taylor]: Taking taylor expansion of n in n 8.488 * [backup-simplify]: Simplify 0 into 0 8.488 * [backup-simplify]: Simplify 1 into 1 8.489 * [backup-simplify]: Simplify (/ 1 1) into 1 8.489 * [backup-simplify]: Simplify (+ 0 1) into 1 8.489 * [backup-simplify]: Simplify (log 1) into 0 8.489 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 8.489 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.489 * [taylor]: Taking taylor expansion of n in n 8.489 * [backup-simplify]: Simplify 0 into 0 8.489 * [backup-simplify]: Simplify 1 into 1 8.489 * [backup-simplify]: Simplify (/ 1 1) into 1 8.490 * [backup-simplify]: Simplify (log 1) into 0 8.490 * [taylor]: Taking taylor expansion of (- (log1p (/ 1 n)) (log (/ 1 n))) in n 8.490 * [taylor]: Taking taylor expansion of (log1p (/ 1 n)) in n 8.490 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 n))) 8.490 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 n)) in n 8.490 * [taylor]: Taking taylor expansion of 1 in n 8.490 * [backup-simplify]: Simplify 1 into 1 8.490 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.490 * [taylor]: Taking taylor expansion of n in n 8.490 * [backup-simplify]: Simplify 0 into 0 8.490 * [backup-simplify]: Simplify 1 into 1 8.490 * [backup-simplify]: Simplify (/ 1 1) into 1 8.490 * [backup-simplify]: Simplify (+ 0 1) into 1 8.491 * [backup-simplify]: Simplify (log 1) into 0 8.491 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 8.491 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.491 * [taylor]: Taking taylor expansion of n in n 8.491 * [backup-simplify]: Simplify 0 into 0 8.491 * [backup-simplify]: Simplify 1 into 1 8.491 * [backup-simplify]: Simplify (/ 1 1) into 1 8.491 * [backup-simplify]: Simplify (log 1) into 0 8.491 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 8.492 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 8.492 * [backup-simplify]: Simplify (- (- (log n))) into (log n) 8.492 * [backup-simplify]: Simplify (+ (- (log n)) (log n)) into 0 8.492 * [backup-simplify]: Simplify 0 into 0 8.492 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.493 * [backup-simplify]: Simplify (+ 1 0) into 1 8.493 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 8.494 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.494 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 8.495 * [backup-simplify]: Simplify (- 0) into 0 8.495 * [backup-simplify]: Simplify (+ 1 0) into 1 8.495 * [backup-simplify]: Simplify 1 into 1 8.495 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.496 * [backup-simplify]: Simplify (+ 0 0) into 0 8.497 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 8.498 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.499 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 8.499 * [backup-simplify]: Simplify (- 0) into 0 8.500 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 8.500 * [backup-simplify]: Simplify -1/2 into -1/2 8.500 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.501 * [backup-simplify]: Simplify (+ 0 0) into 0 8.503 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 8.504 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.507 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 8.507 * [backup-simplify]: Simplify (- 0) into 0 8.507 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 8.507 * [backup-simplify]: Simplify 1/3 into 1/3 8.508 * [backup-simplify]: Simplify (+ (* 1/3 (pow (/ 1 n) 3)) (+ (* -1/2 (pow (/ 1 n) 2)) (* 1 (/ 1 n)))) into (- (+ (* 1/3 (/ 1 (pow n 3))) (/ 1 n)) (* 1/2 (/ 1 (pow n 2)))) 8.508 * [backup-simplify]: Simplify (- (log1p (/ 1 (- n))) (log (/ 1 (- n)))) into (- (log1p (/ -1 n)) (log (/ -1 n))) 8.508 * [approximate]: Taking taylor expansion of (- (log1p (/ -1 n)) (log (/ -1 n))) in (n) around 0 8.508 * [taylor]: Taking taylor expansion of (- (log1p (/ -1 n)) (log (/ -1 n))) in n 8.508 * [taylor]: Taking taylor expansion of (log1p (/ -1 n)) in n 8.508 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 n))) 8.508 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 n)) in n 8.508 * [taylor]: Taking taylor expansion of 1 in n 8.508 * [backup-simplify]: Simplify 1 into 1 8.508 * [taylor]: Taking taylor expansion of (/ -1 n) in n 8.508 * [taylor]: Taking taylor expansion of -1 in n 8.508 * [backup-simplify]: Simplify -1 into -1 8.508 * [taylor]: Taking taylor expansion of n in n 8.508 * [backup-simplify]: Simplify 0 into 0 8.508 * [backup-simplify]: Simplify 1 into 1 8.508 * [backup-simplify]: Simplify (/ -1 1) into -1 8.509 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.509 * [backup-simplify]: Simplify (log -1) into (log -1) 8.509 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 8.509 * [taylor]: Taking taylor expansion of (/ -1 n) in n 8.509 * [taylor]: Taking taylor expansion of -1 in n 8.509 * [backup-simplify]: Simplify -1 into -1 8.509 * [taylor]: Taking taylor expansion of n in n 8.509 * [backup-simplify]: Simplify 0 into 0 8.509 * [backup-simplify]: Simplify 1 into 1 8.509 * [backup-simplify]: Simplify (/ -1 1) into -1 8.510 * [backup-simplify]: Simplify (log -1) into (log -1) 8.510 * [taylor]: Taking taylor expansion of (- (log1p (/ -1 n)) (log (/ -1 n))) in n 8.510 * [taylor]: Taking taylor expansion of (log1p (/ -1 n)) in n 8.510 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 n))) 8.510 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 n)) in n 8.510 * [taylor]: Taking taylor expansion of 1 in n 8.510 * [backup-simplify]: Simplify 1 into 1 8.510 * [taylor]: Taking taylor expansion of (/ -1 n) in n 8.510 * [taylor]: Taking taylor expansion of -1 in n 8.510 * [backup-simplify]: Simplify -1 into -1 8.510 * [taylor]: Taking taylor expansion of n in n 8.510 * [backup-simplify]: Simplify 0 into 0 8.510 * [backup-simplify]: Simplify 1 into 1 8.510 * [backup-simplify]: Simplify (/ -1 1) into -1 8.511 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.511 * [backup-simplify]: Simplify (log -1) into (log -1) 8.511 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 8.511 * [taylor]: Taking taylor expansion of (/ -1 n) in n 8.511 * [taylor]: Taking taylor expansion of -1 in n 8.511 * [backup-simplify]: Simplify -1 into -1 8.511 * [taylor]: Taking taylor expansion of n in n 8.511 * [backup-simplify]: Simplify 0 into 0 8.511 * [backup-simplify]: Simplify 1 into 1 8.511 * [backup-simplify]: Simplify (/ -1 1) into -1 8.511 * [backup-simplify]: Simplify (log -1) into (log -1) 8.512 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 8.513 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 8.513 * [backup-simplify]: Simplify (- (- (log -1) (log n))) into (- (log n) (log -1)) 8.513 * [backup-simplify]: Simplify (+ (- (log -1) (log n)) (- (log n) (log -1))) into 0 8.513 * [backup-simplify]: Simplify 0 into 0 8.514 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.514 * [backup-simplify]: Simplify (+ 1 0) into 1 8.515 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 8.515 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.516 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 8.516 * [backup-simplify]: Simplify (- 0) into 0 8.517 * [backup-simplify]: Simplify (+ -1 0) into -1 8.517 * [backup-simplify]: Simplify -1 into -1 8.517 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.518 * [backup-simplify]: Simplify (+ 0 0) into 0 8.519 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 8.520 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.521 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 8.521 * [backup-simplify]: Simplify (- 0) into 0 8.522 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 8.522 * [backup-simplify]: Simplify -1/2 into -1/2 8.522 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.522 * [backup-simplify]: Simplify (+ 0 0) into 0 8.527 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into -1/3 8.529 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.534 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 8.534 * [backup-simplify]: Simplify (- 0) into 0 8.535 * [backup-simplify]: Simplify (+ -1/3 0) into -1/3 8.535 * [backup-simplify]: Simplify -1/3 into -1/3 8.535 * [backup-simplify]: Simplify (+ (* -1/3 (pow (/ 1 (- n)) 3)) (+ (* -1/2 (pow (/ 1 (- n)) 2)) (* -1 (/ 1 (- n))))) into (- (+ (* 1/3 (/ 1 (pow n 3))) (/ 1 n)) (* 1/2 (/ 1 (pow n 2)))) 8.535 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 3) 8.535 * [backup-simplify]: Simplify (log1p n) into (log1p n) 8.535 * [approximate]: Taking taylor expansion of (log1p n) in (n) around 0 8.535 * [taylor]: Taking taylor expansion of (log1p n) in n 8.536 * [taylor]: Rewrote expression to (log (+ 1 n)) 8.536 * [taylor]: Taking taylor expansion of (+ 1 n) in n 8.536 * [taylor]: Taking taylor expansion of 1 in n 8.536 * [backup-simplify]: Simplify 1 into 1 8.536 * [taylor]: Taking taylor expansion of n in n 8.536 * [backup-simplify]: Simplify 0 into 0 8.536 * [backup-simplify]: Simplify 1 into 1 8.536 * [backup-simplify]: Simplify (+ 1 0) into 1 8.536 * [backup-simplify]: Simplify (log 1) into 0 8.537 * [taylor]: Taking taylor expansion of (log1p n) in n 8.537 * [taylor]: Rewrote expression to (log (+ 1 n)) 8.537 * [taylor]: Taking taylor expansion of (+ 1 n) in n 8.537 * [taylor]: Taking taylor expansion of 1 in n 8.537 * [backup-simplify]: Simplify 1 into 1 8.537 * [taylor]: Taking taylor expansion of n in n 8.537 * [backup-simplify]: Simplify 0 into 0 8.537 * [backup-simplify]: Simplify 1 into 1 8.537 * [backup-simplify]: Simplify (+ 1 0) into 1 8.537 * [backup-simplify]: Simplify (log 1) into 0 8.538 * [backup-simplify]: Simplify 0 into 0 8.538 * [backup-simplify]: Simplify (+ 0 1) into 1 8.539 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 8.539 * [backup-simplify]: Simplify 1 into 1 8.540 * [backup-simplify]: Simplify (+ 0 0) into 0 8.542 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 8.542 * [backup-simplify]: Simplify -1/2 into -1/2 8.543 * [backup-simplify]: Simplify (+ 0 0) into 0 8.548 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 8.548 * [backup-simplify]: Simplify 1/3 into 1/3 8.548 * [backup-simplify]: Simplify (+ (* 1/3 (pow n 3)) (+ (* -1/2 (pow n 2)) (* 1 n))) into (- (+ n (* 1/3 (pow n 3))) (* 1/2 (pow n 2))) 8.548 * [backup-simplify]: Simplify (log1p (/ 1 n)) into (log1p (/ 1 n)) 8.548 * [approximate]: Taking taylor expansion of (log1p (/ 1 n)) in (n) around 0 8.548 * [taylor]: Taking taylor expansion of (log1p (/ 1 n)) in n 8.548 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 n))) 8.548 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 n)) in n 8.548 * [taylor]: Taking taylor expansion of 1 in n 8.549 * [backup-simplify]: Simplify 1 into 1 8.549 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.549 * [taylor]: Taking taylor expansion of n in n 8.549 * [backup-simplify]: Simplify 0 into 0 8.549 * [backup-simplify]: Simplify 1 into 1 8.549 * [backup-simplify]: Simplify (/ 1 1) into 1 8.550 * [backup-simplify]: Simplify (+ 0 1) into 1 8.550 * [backup-simplify]: Simplify (log 1) into 0 8.550 * [taylor]: Taking taylor expansion of (log1p (/ 1 n)) in n 8.550 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 n))) 8.550 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 n)) in n 8.550 * [taylor]: Taking taylor expansion of 1 in n 8.550 * [backup-simplify]: Simplify 1 into 1 8.550 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.550 * [taylor]: Taking taylor expansion of n in n 8.550 * [backup-simplify]: Simplify 0 into 0 8.550 * [backup-simplify]: Simplify 1 into 1 8.551 * [backup-simplify]: Simplify (/ 1 1) into 1 8.551 * [backup-simplify]: Simplify (+ 0 1) into 1 8.551 * [backup-simplify]: Simplify (log 1) into 0 8.552 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 8.552 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 8.553 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.553 * [backup-simplify]: Simplify (+ 1 0) into 1 8.554 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 8.554 * [backup-simplify]: Simplify 1 into 1 8.555 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.556 * [backup-simplify]: Simplify (+ 0 0) into 0 8.559 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 8.559 * [backup-simplify]: Simplify -1/2 into -1/2 8.559 * [backup-simplify]: Simplify (+ (* -1/2 (pow (/ 1 n) 2)) (+ (* 1 (/ 1 n)) (- (log (/ 1 n))))) into (- (/ 1 n) (+ (* 1/2 (/ 1 (pow n 2))) (log (/ 1 n)))) 8.560 * [backup-simplify]: Simplify (log1p (/ 1 (- n))) into (log1p (/ -1 n)) 8.560 * [approximate]: Taking taylor expansion of (log1p (/ -1 n)) in (n) around 0 8.560 * [taylor]: Taking taylor expansion of (log1p (/ -1 n)) in n 8.560 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 n))) 8.560 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 n)) in n 8.560 * [taylor]: Taking taylor expansion of 1 in n 8.560 * [backup-simplify]: Simplify 1 into 1 8.560 * [taylor]: Taking taylor expansion of (/ -1 n) in n 8.560 * [taylor]: Taking taylor expansion of -1 in n 8.560 * [backup-simplify]: Simplify -1 into -1 8.560 * [taylor]: Taking taylor expansion of n in n 8.560 * [backup-simplify]: Simplify 0 into 0 8.560 * [backup-simplify]: Simplify 1 into 1 8.560 * [backup-simplify]: Simplify (/ -1 1) into -1 8.561 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.561 * [backup-simplify]: Simplify (log -1) into (log -1) 8.561 * [taylor]: Taking taylor expansion of (log1p (/ -1 n)) in n 8.561 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 n))) 8.561 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 n)) in n 8.561 * [taylor]: Taking taylor expansion of 1 in n 8.561 * [backup-simplify]: Simplify 1 into 1 8.561 * [taylor]: Taking taylor expansion of (/ -1 n) in n 8.561 * [taylor]: Taking taylor expansion of -1 in n 8.561 * [backup-simplify]: Simplify -1 into -1 8.561 * [taylor]: Taking taylor expansion of n in n 8.561 * [backup-simplify]: Simplify 0 into 0 8.562 * [backup-simplify]: Simplify 1 into 1 8.562 * [backup-simplify]: Simplify (/ -1 1) into -1 8.562 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.566 * [backup-simplify]: Simplify (log -1) into (log -1) 8.567 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 8.567 * [backup-simplify]: Simplify (- (log -1) (log n)) into (- (log -1) (log n)) 8.568 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.569 * [backup-simplify]: Simplify (+ 1 0) into 1 8.570 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 8.570 * [backup-simplify]: Simplify -1 into -1 8.571 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.572 * [backup-simplify]: Simplify (+ 0 0) into 0 8.574 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 8.574 * [backup-simplify]: Simplify -1/2 into -1/2 8.575 * [backup-simplify]: Simplify (+ (* -1/2 (pow (/ 1 (- n)) 2)) (+ (* -1 (/ 1 (- n))) (- (log -1) (log (/ 1 (- n)))))) into (- (+ (log -1) (/ 1 n)) (+ (* 1/2 (/ 1 (pow n 2))) (log (/ -1 n)))) 8.575 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1) 8.575 * [backup-simplify]: Simplify (log1p n) into (log1p n) 8.575 * [approximate]: Taking taylor expansion of (log1p n) in (n) around 0 8.576 * [taylor]: Taking taylor expansion of (log1p n) in n 8.576 * [taylor]: Rewrote expression to (log (+ 1 n)) 8.576 * [taylor]: Taking taylor expansion of (+ 1 n) in n 8.576 * [taylor]: Taking taylor expansion of 1 in n 8.576 * [backup-simplify]: Simplify 1 into 1 8.576 * [taylor]: Taking taylor expansion of n in n 8.576 * [backup-simplify]: Simplify 0 into 0 8.576 * [backup-simplify]: Simplify 1 into 1 8.576 * [backup-simplify]: Simplify (+ 1 0) into 1 8.577 * [backup-simplify]: Simplify (log 1) into 0 8.577 * [taylor]: Taking taylor expansion of (log1p n) in n 8.577 * [taylor]: Rewrote expression to (log (+ 1 n)) 8.577 * [taylor]: Taking taylor expansion of (+ 1 n) in n 8.577 * [taylor]: Taking taylor expansion of 1 in n 8.577 * [backup-simplify]: Simplify 1 into 1 8.577 * [taylor]: Taking taylor expansion of n in n 8.577 * [backup-simplify]: Simplify 0 into 0 8.577 * [backup-simplify]: Simplify 1 into 1 8.577 * [backup-simplify]: Simplify (+ 1 0) into 1 8.578 * [backup-simplify]: Simplify (log 1) into 0 8.578 * [backup-simplify]: Simplify 0 into 0 8.579 * [backup-simplify]: Simplify (+ 0 1) into 1 8.580 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 8.580 * [backup-simplify]: Simplify 1 into 1 8.581 * [backup-simplify]: Simplify (+ 0 0) into 0 8.584 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 8.584 * [backup-simplify]: Simplify -1/2 into -1/2 8.584 * [backup-simplify]: Simplify (+ 0 0) into 0 8.589 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 8.589 * [backup-simplify]: Simplify 1/3 into 1/3 8.589 * [backup-simplify]: Simplify (+ (* 1/3 (pow n 3)) (+ (* -1/2 (pow n 2)) (* 1 n))) into (- (+ n (* 1/3 (pow n 3))) (* 1/2 (pow n 2))) 8.590 * [backup-simplify]: Simplify (log1p (/ 1 n)) into (log1p (/ 1 n)) 8.590 * [approximate]: Taking taylor expansion of (log1p (/ 1 n)) in (n) around 0 8.590 * [taylor]: Taking taylor expansion of (log1p (/ 1 n)) in n 8.590 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 n))) 8.590 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 n)) in n 8.590 * [taylor]: Taking taylor expansion of 1 in n 8.590 * [backup-simplify]: Simplify 1 into 1 8.590 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.590 * [taylor]: Taking taylor expansion of n in n 8.590 * [backup-simplify]: Simplify 0 into 0 8.590 * [backup-simplify]: Simplify 1 into 1 8.590 * [backup-simplify]: Simplify (/ 1 1) into 1 8.591 * [backup-simplify]: Simplify (+ 0 1) into 1 8.591 * [backup-simplify]: Simplify (log 1) into 0 8.591 * [taylor]: Taking taylor expansion of (log1p (/ 1 n)) in n 8.591 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 n))) 8.591 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 n)) in n 8.591 * [taylor]: Taking taylor expansion of 1 in n 8.591 * [backup-simplify]: Simplify 1 into 1 8.591 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.591 * [taylor]: Taking taylor expansion of n in n 8.591 * [backup-simplify]: Simplify 0 into 0 8.591 * [backup-simplify]: Simplify 1 into 1 8.592 * [backup-simplify]: Simplify (/ 1 1) into 1 8.592 * [backup-simplify]: Simplify (+ 0 1) into 1 8.592 * [backup-simplify]: Simplify (log 1) into 0 8.593 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 8.593 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 8.594 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.594 * [backup-simplify]: Simplify (+ 1 0) into 1 8.595 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 8.595 * [backup-simplify]: Simplify 1 into 1 8.596 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.596 * [backup-simplify]: Simplify (+ 0 0) into 0 8.597 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 8.598 * [backup-simplify]: Simplify -1/2 into -1/2 8.598 * [backup-simplify]: Simplify (+ (* -1/2 (pow (/ 1 n) 2)) (+ (* 1 (/ 1 n)) (- (log (/ 1 n))))) into (- (/ 1 n) (+ (* 1/2 (/ 1 (pow n 2))) (log (/ 1 n)))) 8.598 * [backup-simplify]: Simplify (log1p (/ 1 (- n))) into (log1p (/ -1 n)) 8.598 * [approximate]: Taking taylor expansion of (log1p (/ -1 n)) in (n) around 0 8.598 * [taylor]: Taking taylor expansion of (log1p (/ -1 n)) in n 8.598 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 n))) 8.598 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 n)) in n 8.598 * [taylor]: Taking taylor expansion of 1 in n 8.598 * [backup-simplify]: Simplify 1 into 1 8.598 * [taylor]: Taking taylor expansion of (/ -1 n) in n 8.598 * [taylor]: Taking taylor expansion of -1 in n 8.598 * [backup-simplify]: Simplify -1 into -1 8.598 * [taylor]: Taking taylor expansion of n in n 8.598 * [backup-simplify]: Simplify 0 into 0 8.598 * [backup-simplify]: Simplify 1 into 1 8.598 * [backup-simplify]: Simplify (/ -1 1) into -1 8.599 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.599 * [backup-simplify]: Simplify (log -1) into (log -1) 8.599 * [taylor]: Taking taylor expansion of (log1p (/ -1 n)) in n 8.599 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 n))) 8.599 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 n)) in n 8.599 * [taylor]: Taking taylor expansion of 1 in n 8.599 * [backup-simplify]: Simplify 1 into 1 8.599 * [taylor]: Taking taylor expansion of (/ -1 n) in n 8.599 * [taylor]: Taking taylor expansion of -1 in n 8.599 * [backup-simplify]: Simplify -1 into -1 8.599 * [taylor]: Taking taylor expansion of n in n 8.599 * [backup-simplify]: Simplify 0 into 0 8.599 * [backup-simplify]: Simplify 1 into 1 8.599 * [backup-simplify]: Simplify (/ -1 1) into -1 8.599 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.600 * [backup-simplify]: Simplify (log -1) into (log -1) 8.600 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 8.601 * [backup-simplify]: Simplify (- (log -1) (log n)) into (- (log -1) (log n)) 8.601 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.601 * [backup-simplify]: Simplify (+ 1 0) into 1 8.602 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 8.602 * [backup-simplify]: Simplify -1 into -1 8.603 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.603 * [backup-simplify]: Simplify (+ 0 0) into 0 8.604 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 8.604 * [backup-simplify]: Simplify -1/2 into -1/2 8.605 * [backup-simplify]: Simplify (+ (* -1/2 (pow (/ 1 (- n)) 2)) (+ (* -1 (/ 1 (- n))) (- (log -1) (log (/ 1 (- n)))))) into (- (+ (log -1) (/ 1 n)) (+ (* 1/2 (/ 1 (pow n 2))) (log (/ -1 n)))) 8.605 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 8.605 * [backup-simplify]: Simplify (fma n (- (log1p n) (log n)) (log1p n)) into (fma n (- (log1p n) (log n)) (log1p n)) 8.605 * [approximate]: Taking taylor expansion of (fma n (- (log1p n) (log n)) (log1p n)) in (n) around 0 8.605 * [taylor]: Taking taylor expansion of (fma n (- (log1p n) (log n)) (log1p n)) in n 8.605 * [taylor]: Rewrote expression to (+ (* n (- (log1p n) (log n))) (log1p n)) 8.605 * [taylor]: Taking taylor expansion of (* n (- (log1p n) (log n))) in n 8.605 * [taylor]: Taking taylor expansion of n in n 8.605 * [backup-simplify]: Simplify 0 into 0 8.605 * [backup-simplify]: Simplify 1 into 1 8.605 * [taylor]: Taking taylor expansion of (- (log1p n) (log n)) in n 8.605 * [taylor]: Taking taylor expansion of (log1p n) in n 8.605 * [taylor]: Rewrote expression to (log (+ 1 n)) 8.605 * [taylor]: Taking taylor expansion of (+ 1 n) in n 8.605 * [taylor]: Taking taylor expansion of 1 in n 8.605 * [backup-simplify]: Simplify 1 into 1 8.605 * [taylor]: Taking taylor expansion of n in n 8.605 * [backup-simplify]: Simplify 0 into 0 8.605 * [backup-simplify]: Simplify 1 into 1 8.605 * [backup-simplify]: Simplify (+ 1 0) into 1 8.606 * [backup-simplify]: Simplify (log 1) into 0 8.606 * [taylor]: Taking taylor expansion of (log n) in n 8.606 * [taylor]: Taking taylor expansion of n in n 8.606 * [backup-simplify]: Simplify 0 into 0 8.606 * [backup-simplify]: Simplify 1 into 1 8.606 * [backup-simplify]: Simplify (log 1) into 0 8.606 * [taylor]: Taking taylor expansion of (log1p n) in n 8.606 * [taylor]: Rewrote expression to (log (+ 1 n)) 8.606 * [taylor]: Taking taylor expansion of (+ 1 n) in n 8.606 * [taylor]: Taking taylor expansion of 1 in n 8.606 * [backup-simplify]: Simplify 1 into 1 8.606 * [taylor]: Taking taylor expansion of n in n 8.606 * [backup-simplify]: Simplify 0 into 0 8.606 * [backup-simplify]: Simplify 1 into 1 8.607 * [backup-simplify]: Simplify (+ 1 0) into 1 8.607 * [backup-simplify]: Simplify (log 1) into 0 8.607 * [taylor]: Taking taylor expansion of (fma n (- (log1p n) (log n)) (log1p n)) in n 8.607 * [taylor]: Rewrote expression to (+ (* n (- (log1p n) (log n))) (log1p n)) 8.607 * [taylor]: Taking taylor expansion of (* n (- (log1p n) (log n))) in n 8.607 * [taylor]: Taking taylor expansion of n in n 8.607 * [backup-simplify]: Simplify 0 into 0 8.607 * [backup-simplify]: Simplify 1 into 1 8.607 * [taylor]: Taking taylor expansion of (- (log1p n) (log n)) in n 8.607 * [taylor]: Taking taylor expansion of (log1p n) in n 8.607 * [taylor]: Rewrote expression to (log (+ 1 n)) 8.607 * [taylor]: Taking taylor expansion of (+ 1 n) in n 8.607 * [taylor]: Taking taylor expansion of 1 in n 8.607 * [backup-simplify]: Simplify 1 into 1 8.607 * [taylor]: Taking taylor expansion of n in n 8.607 * [backup-simplify]: Simplify 0 into 0 8.607 * [backup-simplify]: Simplify 1 into 1 8.607 * [backup-simplify]: Simplify (+ 1 0) into 1 8.608 * [backup-simplify]: Simplify (log 1) into 0 8.608 * [taylor]: Taking taylor expansion of (log n) in n 8.608 * [taylor]: Taking taylor expansion of n in n 8.608 * [backup-simplify]: Simplify 0 into 0 8.608 * [backup-simplify]: Simplify 1 into 1 8.608 * [backup-simplify]: Simplify (log 1) into 0 8.608 * [taylor]: Taking taylor expansion of (log1p n) in n 8.608 * [taylor]: Rewrote expression to (log (+ 1 n)) 8.608 * [taylor]: Taking taylor expansion of (+ 1 n) in n 8.608 * [taylor]: Taking taylor expansion of 1 in n 8.608 * [backup-simplify]: Simplify 1 into 1 8.608 * [taylor]: Taking taylor expansion of n in n 8.608 * [backup-simplify]: Simplify 0 into 0 8.608 * [backup-simplify]: Simplify 1 into 1 8.608 * [backup-simplify]: Simplify (+ 1 0) into 1 8.609 * [backup-simplify]: Simplify (log 1) into 0 8.609 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 8.609 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 8.609 * [backup-simplify]: Simplify (+ 0 (- (log n))) into (- (log n)) 8.609 * [backup-simplify]: Simplify (* 0 (- (log n))) into 0 8.609 * [backup-simplify]: Simplify (+ 0 0) into 0 8.609 * [backup-simplify]: Simplify 0 into 0 8.610 * [backup-simplify]: Simplify (+ 0 1) into 1 8.610 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 8.611 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 8.611 * [backup-simplify]: Simplify (- 0) into 0 8.611 * [backup-simplify]: Simplify (+ 1 0) into 1 8.612 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 (- (log n)))) into (- (log n)) 8.612 * [backup-simplify]: Simplify (+ 0 1) into 1 8.613 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 8.613 * [backup-simplify]: Simplify (+ (- (log n)) 1) into (- 1 (log n)) 8.613 * [backup-simplify]: Simplify (- 1 (log n)) into (- 1 (log n)) 8.613 * [backup-simplify]: Simplify (+ 0 0) into 0 8.614 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 8.617 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 8.617 * [backup-simplify]: Simplify (- 0) into 0 8.618 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 8.618 * [backup-simplify]: Simplify (+ (* 0 -1/2) (+ (* 1 1) (* 0 (- (log n))))) into 1 8.619 * [backup-simplify]: Simplify (+ 0 0) into 0 8.622 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 8.622 * [backup-simplify]: Simplify (+ 1 -1/2) into 1/2 8.622 * [backup-simplify]: Simplify 1/2 into 1/2 8.622 * [backup-simplify]: Simplify (+ 0 0) into 0 8.627 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 8.633 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 8.633 * [backup-simplify]: Simplify (- 0) into 0 8.634 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 8.635 * [backup-simplify]: Simplify (+ (* 0 1/3) (+ (* 1 -1/2) (+ (* 0 1) (* 0 (- (log n)))))) into (- 1/2) 8.636 * [backup-simplify]: Simplify (+ 0 0) into 0 8.641 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 8.641 * [backup-simplify]: Simplify (+ (- 1/2) 1/3) into -1/6 8.641 * [backup-simplify]: Simplify -1/6 into -1/6 8.642 * [backup-simplify]: Simplify (+ (* -1/6 (pow n 3)) (+ (* 1/2 (pow n 2)) (* (- 1 (log n)) n))) into (- (+ n (* 1/2 (pow n 2))) (+ (* n (log n)) (* 1/6 (pow n 3)))) 8.642 * [backup-simplify]: Simplify (fma (/ 1 n) (- (log1p (/ 1 n)) (log (/ 1 n))) (log1p (/ 1 n))) into (fma (/ 1 n) (- (log1p (/ 1 n)) (log (/ 1 n))) (log1p (/ 1 n))) 8.642 * [approximate]: Taking taylor expansion of (fma (/ 1 n) (- (log1p (/ 1 n)) (log (/ 1 n))) (log1p (/ 1 n))) in (n) around 0 8.642 * [taylor]: Taking taylor expansion of (fma (/ 1 n) (- (log1p (/ 1 n)) (log (/ 1 n))) (log1p (/ 1 n))) in n 8.642 * [taylor]: Rewrote expression to (+ (* (/ 1 n) (- (log1p (/ 1 n)) (log (/ 1 n)))) (log1p (/ 1 n))) 8.642 * [taylor]: Taking taylor expansion of (* (/ 1 n) (- (log1p (/ 1 n)) (log (/ 1 n)))) in n 8.642 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.642 * [taylor]: Taking taylor expansion of n in n 8.642 * [backup-simplify]: Simplify 0 into 0 8.642 * [backup-simplify]: Simplify 1 into 1 8.643 * [backup-simplify]: Simplify (/ 1 1) into 1 8.643 * [taylor]: Taking taylor expansion of (- (log1p (/ 1 n)) (log (/ 1 n))) in n 8.643 * [taylor]: Taking taylor expansion of (log1p (/ 1 n)) in n 8.643 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 n))) 8.643 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 n)) in n 8.643 * [taylor]: Taking taylor expansion of 1 in n 8.643 * [backup-simplify]: Simplify 1 into 1 8.643 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.643 * [taylor]: Taking taylor expansion of n in n 8.643 * [backup-simplify]: Simplify 0 into 0 8.643 * [backup-simplify]: Simplify 1 into 1 8.643 * [backup-simplify]: Simplify (/ 1 1) into 1 8.644 * [backup-simplify]: Simplify (+ 0 1) into 1 8.644 * [backup-simplify]: Simplify (log 1) into 0 8.644 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 8.644 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.644 * [taylor]: Taking taylor expansion of n in n 8.644 * [backup-simplify]: Simplify 0 into 0 8.644 * [backup-simplify]: Simplify 1 into 1 8.645 * [backup-simplify]: Simplify (/ 1 1) into 1 8.645 * [backup-simplify]: Simplify (log 1) into 0 8.645 * [taylor]: Taking taylor expansion of (log1p (/ 1 n)) in n 8.645 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 n))) 8.645 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 n)) in n 8.645 * [taylor]: Taking taylor expansion of 1 in n 8.645 * [backup-simplify]: Simplify 1 into 1 8.645 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.646 * [taylor]: Taking taylor expansion of n in n 8.646 * [backup-simplify]: Simplify 0 into 0 8.646 * [backup-simplify]: Simplify 1 into 1 8.646 * [backup-simplify]: Simplify (/ 1 1) into 1 8.646 * [backup-simplify]: Simplify (+ 0 1) into 1 8.647 * [backup-simplify]: Simplify (log 1) into 0 8.647 * [taylor]: Taking taylor expansion of (fma (/ 1 n) (- (log1p (/ 1 n)) (log (/ 1 n))) (log1p (/ 1 n))) in n 8.647 * [taylor]: Rewrote expression to (+ (* (/ 1 n) (- (log1p (/ 1 n)) (log (/ 1 n)))) (log1p (/ 1 n))) 8.647 * [taylor]: Taking taylor expansion of (* (/ 1 n) (- (log1p (/ 1 n)) (log (/ 1 n)))) in n 8.647 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.647 * [taylor]: Taking taylor expansion of n in n 8.647 * [backup-simplify]: Simplify 0 into 0 8.647 * [backup-simplify]: Simplify 1 into 1 8.647 * [backup-simplify]: Simplify (/ 1 1) into 1 8.647 * [taylor]: Taking taylor expansion of (- (log1p (/ 1 n)) (log (/ 1 n))) in n 8.647 * [taylor]: Taking taylor expansion of (log1p (/ 1 n)) in n 8.647 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 n))) 8.648 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 n)) in n 8.648 * [taylor]: Taking taylor expansion of 1 in n 8.648 * [backup-simplify]: Simplify 1 into 1 8.648 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.648 * [taylor]: Taking taylor expansion of n in n 8.648 * [backup-simplify]: Simplify 0 into 0 8.648 * [backup-simplify]: Simplify 1 into 1 8.648 * [backup-simplify]: Simplify (/ 1 1) into 1 8.648 * [backup-simplify]: Simplify (+ 0 1) into 1 8.649 * [backup-simplify]: Simplify (log 1) into 0 8.649 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 8.649 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.649 * [taylor]: Taking taylor expansion of n in n 8.649 * [backup-simplify]: Simplify 0 into 0 8.649 * [backup-simplify]: Simplify 1 into 1 8.649 * [backup-simplify]: Simplify (/ 1 1) into 1 8.650 * [backup-simplify]: Simplify (log 1) into 0 8.650 * [taylor]: Taking taylor expansion of (log1p (/ 1 n)) in n 8.650 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 n))) 8.650 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 n)) in n 8.650 * [taylor]: Taking taylor expansion of 1 in n 8.650 * [backup-simplify]: Simplify 1 into 1 8.650 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.650 * [taylor]: Taking taylor expansion of n in n 8.650 * [backup-simplify]: Simplify 0 into 0 8.650 * [backup-simplify]: Simplify 1 into 1 8.650 * [backup-simplify]: Simplify (/ 1 1) into 1 8.651 * [backup-simplify]: Simplify (+ 0 1) into 1 8.651 * [backup-simplify]: Simplify (log 1) into 0 8.652 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 8.652 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 8.652 * [backup-simplify]: Simplify (- (- (log n))) into (log n) 8.652 * [backup-simplify]: Simplify (+ (- (log n)) (log n)) into 0 8.653 * [backup-simplify]: Simplify (* 1 0) into 0 8.653 * [backup-simplify]: Simplify (+ 0 0) into 0 8.653 * [backup-simplify]: Simplify 0 into 0 8.654 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.654 * [backup-simplify]: Simplify (+ 1 0) into 1 8.655 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 8.656 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.657 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 8.658 * [backup-simplify]: Simplify (- 0) into 0 8.658 * [backup-simplify]: Simplify (+ 1 0) into 1 8.659 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.660 * [backup-simplify]: Simplify (+ (* 1 1) (* 0 0)) into 1 8.660 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 8.660 * [backup-simplify]: Simplify (+ 1 (- (log n))) into (- 1 (log n)) 8.660 * [backup-simplify]: Simplify (- 1 (log n)) into (- 1 (log n)) 8.661 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.661 * [backup-simplify]: Simplify (+ 0 0) into 0 8.664 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 8.665 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.668 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 8.668 * [backup-simplify]: Simplify (- 0) into 0 8.668 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 8.669 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.670 * [backup-simplify]: Simplify (+ (* 1 -1/2) (+ (* 0 1) (* 0 0))) into -1/2 8.671 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.672 * [backup-simplify]: Simplify (+ 1 0) into 1 8.673 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 8.673 * [backup-simplify]: Simplify (+ -1/2 1) into 1/2 8.673 * [backup-simplify]: Simplify 1/2 into 1/2 8.674 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.675 * [backup-simplify]: Simplify (+ 0 0) into 0 8.680 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 8.681 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.686 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 8.686 * [backup-simplify]: Simplify (- 0) into 0 8.687 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 8.688 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.689 * [backup-simplify]: Simplify (+ (* 1 1/3) (+ (* 0 -1/2) (+ (* 0 1) (* 0 0)))) into 1/3 8.690 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.690 * [backup-simplify]: Simplify (+ 0 0) into 0 8.693 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 8.693 * [backup-simplify]: Simplify (+ 1/3 -1/2) into -1/6 8.693 * [backup-simplify]: Simplify -1/6 into -1/6 8.694 * [backup-simplify]: Simplify (+ (* -1/6 (pow (/ 1 n) 2)) (+ (* 1/2 (/ 1 n)) (- 1 (log (/ 1 n))))) into (- (+ 1 (* 1/2 (/ 1 n))) (+ (* 1/6 (/ 1 (pow n 2))) (log (/ 1 n)))) 8.694 * [backup-simplify]: Simplify (fma (/ 1 (- n)) (- (log1p (/ 1 (- n))) (log (/ 1 (- n)))) (log1p (/ 1 (- n)))) into (fma (/ -1 n) (- (log1p (/ -1 n)) (log (/ -1 n))) (log1p (/ -1 n))) 8.694 * [approximate]: Taking taylor expansion of (fma (/ -1 n) (- (log1p (/ -1 n)) (log (/ -1 n))) (log1p (/ -1 n))) in (n) around 0 8.694 * [taylor]: Taking taylor expansion of (fma (/ -1 n) (- (log1p (/ -1 n)) (log (/ -1 n))) (log1p (/ -1 n))) in n 8.694 * [taylor]: Rewrote expression to (+ (* (/ -1 n) (- (log1p (/ -1 n)) (log (/ -1 n)))) (log1p (/ -1 n))) 8.694 * [taylor]: Taking taylor expansion of (* (/ -1 n) (- (log1p (/ -1 n)) (log (/ -1 n)))) in n 8.694 * [taylor]: Taking taylor expansion of (/ -1 n) in n 8.694 * [taylor]: Taking taylor expansion of -1 in n 8.694 * [backup-simplify]: Simplify -1 into -1 8.694 * [taylor]: Taking taylor expansion of n in n 8.694 * [backup-simplify]: Simplify 0 into 0 8.694 * [backup-simplify]: Simplify 1 into 1 8.695 * [backup-simplify]: Simplify (/ -1 1) into -1 8.695 * [taylor]: Taking taylor expansion of (- (log1p (/ -1 n)) (log (/ -1 n))) in n 8.695 * [taylor]: Taking taylor expansion of (log1p (/ -1 n)) in n 8.695 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 n))) 8.695 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 n)) in n 8.695 * [taylor]: Taking taylor expansion of 1 in n 8.695 * [backup-simplify]: Simplify 1 into 1 8.695 * [taylor]: Taking taylor expansion of (/ -1 n) in n 8.695 * [taylor]: Taking taylor expansion of -1 in n 8.695 * [backup-simplify]: Simplify -1 into -1 8.695 * [taylor]: Taking taylor expansion of n in n 8.695 * [backup-simplify]: Simplify 0 into 0 8.695 * [backup-simplify]: Simplify 1 into 1 8.697 * [backup-simplify]: Simplify (/ -1 1) into -1 8.698 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.699 * [backup-simplify]: Simplify (log -1) into (log -1) 8.699 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 8.699 * [taylor]: Taking taylor expansion of (/ -1 n) in n 8.699 * [taylor]: Taking taylor expansion of -1 in n 8.699 * [backup-simplify]: Simplify -1 into -1 8.699 * [taylor]: Taking taylor expansion of n in n 8.699 * [backup-simplify]: Simplify 0 into 0 8.699 * [backup-simplify]: Simplify 1 into 1 8.699 * [backup-simplify]: Simplify (/ -1 1) into -1 8.700 * [backup-simplify]: Simplify (log -1) into (log -1) 8.700 * [taylor]: Taking taylor expansion of (log1p (/ -1 n)) in n 8.700 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 n))) 8.700 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 n)) in n 8.700 * [taylor]: Taking taylor expansion of 1 in n 8.700 * [backup-simplify]: Simplify 1 into 1 8.700 * [taylor]: Taking taylor expansion of (/ -1 n) in n 8.700 * [taylor]: Taking taylor expansion of -1 in n 8.700 * [backup-simplify]: Simplify -1 into -1 8.700 * [taylor]: Taking taylor expansion of n in n 8.700 * [backup-simplify]: Simplify 0 into 0 8.700 * [backup-simplify]: Simplify 1 into 1 8.700 * [backup-simplify]: Simplify (/ -1 1) into -1 8.701 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.701 * [backup-simplify]: Simplify (log -1) into (log -1) 8.701 * [taylor]: Taking taylor expansion of (fma (/ -1 n) (- (log1p (/ -1 n)) (log (/ -1 n))) (log1p (/ -1 n))) in n 8.701 * [taylor]: Rewrote expression to (+ (* (/ -1 n) (- (log1p (/ -1 n)) (log (/ -1 n)))) (log1p (/ -1 n))) 8.701 * [taylor]: Taking taylor expansion of (* (/ -1 n) (- (log1p (/ -1 n)) (log (/ -1 n)))) in n 8.701 * [taylor]: Taking taylor expansion of (/ -1 n) in n 8.701 * [taylor]: Taking taylor expansion of -1 in n 8.701 * [backup-simplify]: Simplify -1 into -1 8.701 * [taylor]: Taking taylor expansion of n in n 8.701 * [backup-simplify]: Simplify 0 into 0 8.701 * [backup-simplify]: Simplify 1 into 1 8.702 * [backup-simplify]: Simplify (/ -1 1) into -1 8.702 * [taylor]: Taking taylor expansion of (- (log1p (/ -1 n)) (log (/ -1 n))) in n 8.702 * [taylor]: Taking taylor expansion of (log1p (/ -1 n)) in n 8.702 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 n))) 8.702 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 n)) in n 8.702 * [taylor]: Taking taylor expansion of 1 in n 8.702 * [backup-simplify]: Simplify 1 into 1 8.702 * [taylor]: Taking taylor expansion of (/ -1 n) in n 8.702 * [taylor]: Taking taylor expansion of -1 in n 8.702 * [backup-simplify]: Simplify -1 into -1 8.702 * [taylor]: Taking taylor expansion of n in n 8.702 * [backup-simplify]: Simplify 0 into 0 8.702 * [backup-simplify]: Simplify 1 into 1 8.703 * [backup-simplify]: Simplify (/ -1 1) into -1 8.703 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.704 * [backup-simplify]: Simplify (log -1) into (log -1) 8.704 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 8.704 * [taylor]: Taking taylor expansion of (/ -1 n) in n 8.704 * [taylor]: Taking taylor expansion of -1 in n 8.704 * [backup-simplify]: Simplify -1 into -1 8.704 * [taylor]: Taking taylor expansion of n in n 8.704 * [backup-simplify]: Simplify 0 into 0 8.704 * [backup-simplify]: Simplify 1 into 1 8.704 * [backup-simplify]: Simplify (/ -1 1) into -1 8.705 * [backup-simplify]: Simplify (log -1) into (log -1) 8.705 * [taylor]: Taking taylor expansion of (log1p (/ -1 n)) in n 8.705 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 n))) 8.705 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 n)) in n 8.705 * [taylor]: Taking taylor expansion of 1 in n 8.705 * [backup-simplify]: Simplify 1 into 1 8.705 * [taylor]: Taking taylor expansion of (/ -1 n) in n 8.705 * [taylor]: Taking taylor expansion of -1 in n 8.705 * [backup-simplify]: Simplify -1 into -1 8.705 * [taylor]: Taking taylor expansion of n in n 8.705 * [backup-simplify]: Simplify 0 into 0 8.705 * [backup-simplify]: Simplify 1 into 1 8.706 * [backup-simplify]: Simplify (/ -1 1) into -1 8.706 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.707 * [backup-simplify]: Simplify (log -1) into (log -1) 8.708 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 8.709 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 8.709 * [backup-simplify]: Simplify (- (- (log -1) (log n))) into (- (log n) (log -1)) 8.710 * [backup-simplify]: Simplify (+ (- (log -1) (log n)) (- (log n) (log -1))) into 0 8.710 * [backup-simplify]: Simplify (* -1 0) into 0 8.711 * [backup-simplify]: Simplify (+ 0 0) into 0 8.711 * [backup-simplify]: Simplify 0 into 0 8.712 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.712 * [backup-simplify]: Simplify (+ 1 0) into 1 8.713 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 8.714 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.716 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 8.716 * [backup-simplify]: Simplify (- 0) into 0 8.716 * [backup-simplify]: Simplify (+ -1 0) into -1 8.717 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.718 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 8.719 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 8.719 * [backup-simplify]: Simplify (+ 1 (- (log -1) (log n))) into (- (+ (log -1) 1) (log n)) 8.720 * [backup-simplify]: Simplify (- (+ (log -1) 1) (log n)) into (- (+ (log -1) 1) (log n)) 8.721 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.721 * [backup-simplify]: Simplify (+ 0 0) into 0 8.724 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 8.725 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.728 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 8.728 * [backup-simplify]: Simplify (- 0) into 0 8.729 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 8.730 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.731 * [backup-simplify]: Simplify (+ (* -1 -1/2) (+ (* 0 -1) (* 0 0))) into 1/2 8.732 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.732 * [backup-simplify]: Simplify (+ 1 0) into 1 8.733 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 8.734 * [backup-simplify]: Simplify (+ 1/2 -1) into -1/2 8.734 * [backup-simplify]: Simplify -1/2 into -1/2 8.735 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.735 * [backup-simplify]: Simplify (+ 0 0) into 0 8.738 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into -1/3 8.738 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.741 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 8.742 * [backup-simplify]: Simplify (- 0) into 0 8.742 * [backup-simplify]: Simplify (+ -1/3 0) into -1/3 8.742 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.743 * [backup-simplify]: Simplify (+ (* -1 -1/3) (+ (* 0 -1/2) (+ (* 0 -1) (* 0 0)))) into 1/3 8.744 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.744 * [backup-simplify]: Simplify (+ 0 0) into 0 8.745 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 8.746 * [backup-simplify]: Simplify (+ 1/3 -1/2) into -1/6 8.746 * [backup-simplify]: Simplify -1/6 into -1/6 8.747 * [backup-simplify]: Simplify (+ (* -1/6 (pow (/ 1 (- n)) 2)) (+ (* -1/2 (/ 1 (- n))) (- (+ (log -1) 1) (log (/ 1 (- n)))))) into (- (+ (log -1) (+ 1 (* 1/2 (/ 1 n)))) (+ (* 1/6 (/ 1 (pow n 2))) (log (/ -1 n)))) 8.747 * * * [progress]: simplifying candidates 8.747 * * * * [progress]: [ 1 / 84 ] simplifiying candidate # 8.747 * * * * [progress]: [ 2 / 84 ] simplifiying candidate # 8.747 * * * * [progress]: [ 3 / 84 ] simplifiying candidate # 8.747 * * * * [progress]: [ 4 / 84 ] simplifiying candidate # 8.747 * * * * [progress]: [ 5 / 84 ] simplifiying candidate # 8.747 * * * * [progress]: [ 6 / 84 ] simplifiying candidate # 8.747 * * * * [progress]: [ 7 / 84 ] simplifiying candidate # 8.747 * * * * [progress]: [ 8 / 84 ] simplifiying candidate # 8.747 * * * * [progress]: [ 9 / 84 ] simplifiying candidate # 8.747 * * * * [progress]: [ 10 / 84 ] simplifiying candidate # 8.747 * * * * [progress]: [ 11 / 84 ] simplifiying candidate # 8.747 * * * * [progress]: [ 12 / 84 ] simplifiying candidate # 8.747 * * * * [progress]: [ 13 / 84 ] simplifiying candidate # 8.747 * * * * [progress]: [ 14 / 84 ] simplifiying candidate # 8.747 * * * * [progress]: [ 15 / 84 ] simplifiying candidate # 8.747 * * * * [progress]: [ 16 / 84 ] simplifiying candidate # 8.747 * * * * [progress]: [ 17 / 84 ] simplifiying candidate # 8.747 * * * * [progress]: [ 18 / 84 ] simplifiying candidate # 8.747 * * * * [progress]: [ 19 / 84 ] simplifiying candidate # 8.748 * * * * [progress]: [ 20 / 84 ] simplifiying candidate # 8.748 * * * * [progress]: [ 21 / 84 ] simplifiying candidate # 8.748 * * * * [progress]: [ 22 / 84 ] simplifiying candidate # 8.748 * * * * [progress]: [ 23 / 84 ] simplifiying candidate # 8.748 * * * * [progress]: [ 24 / 84 ] simplifiying candidate # 8.748 * * * * [progress]: [ 25 / 84 ] simplifiying candidate # 8.748 * * * * [progress]: [ 26 / 84 ] simplifiying candidate # 8.748 * * * * [progress]: [ 27 / 84 ] simplifiying candidate # 8.748 * * * * [progress]: [ 28 / 84 ] simplifiying candidate # 8.748 * * * * [progress]: [ 29 / 84 ] simplifiying candidate # 8.748 * * * * [progress]: [ 30 / 84 ] simplifiying candidate # 8.748 * * * * [progress]: [ 31 / 84 ] simplifiying candidate # 8.748 * * * * [progress]: [ 32 / 84 ] simplifiying candidate # 8.748 * * * * [progress]: [ 33 / 84 ] simplifiying candidate # 8.748 * * * * [progress]: [ 34 / 84 ] simplifiying candidate # 8.748 * * * * [progress]: [ 35 / 84 ] simplifiying candidate # 8.748 * * * * [progress]: [ 36 / 84 ] simplifiying candidate # 8.748 * * * * [progress]: [ 37 / 84 ] simplifiying candidate #real (real->posit16 (- (log1p n) (log n)))) (log1p n)) -1))> 8.748 * * * * [progress]: [ 38 / 84 ] simplifiying candidate # 8.748 * * * * [progress]: [ 39 / 84 ] simplifiying candidate # 8.748 * * * * [progress]: [ 40 / 84 ] simplifiying candidate # 8.748 * * * * [progress]: [ 41 / 84 ] simplifiying candidate # 8.748 * * * * [progress]: [ 42 / 84 ] simplifiying candidate # 8.748 * * * * [progress]: [ 43 / 84 ] simplifiying candidate # 8.748 * * * * [progress]: [ 44 / 84 ] simplifiying candidate # 8.748 * * * * [progress]: [ 45 / 84 ] simplifiying candidate # 8.748 * * * * [progress]: [ 46 / 84 ] simplifiying candidate # 8.749 * * * * [progress]: [ 47 / 84 ] simplifiying candidate # 8.749 * * * * [progress]: [ 48 / 84 ] simplifiying candidate # 8.749 * * * * [progress]: [ 49 / 84 ] simplifiying candidate #real (real->posit16 (log1p n)))) -1))> 8.749 * * * * [progress]: [ 50 / 84 ] simplifiying candidate # 8.749 * * * * [progress]: [ 51 / 84 ] simplifiying candidate # 8.749 * * * * [progress]: [ 52 / 84 ] simplifiying candidate # 8.749 * * * * [progress]: [ 53 / 84 ] simplifiying candidate # 8.749 * * * * [progress]: [ 54 / 84 ] simplifiying candidate # 8.749 * * * * [progress]: [ 55 / 84 ] simplifiying candidate # 8.749 * * * * [progress]: [ 56 / 84 ] simplifiying candidate # 8.749 * * * * [progress]: [ 57 / 84 ] simplifiying candidate # 8.749 * * * * [progress]: [ 58 / 84 ] simplifiying candidate # 8.749 * * * * [progress]: [ 59 / 84 ] simplifiying candidate # 8.749 * * * * [progress]: [ 60 / 84 ] simplifiying candidate # 8.749 * * * * [progress]: [ 61 / 84 ] simplifiying candidate #real (real->posit16 (log1p n))) (log n)) (log1p n)) -1))> 8.749 * * * * [progress]: [ 62 / 84 ] simplifiying candidate # 8.749 * * * * [progress]: [ 63 / 84 ] simplifiying candidate # 8.749 * * * * [progress]: [ 64 / 84 ] simplifiying candidate # 8.749 * * * * [progress]: [ 65 / 84 ] simplifiying candidate # 8.749 * * * * [progress]: [ 66 / 84 ] simplifiying candidate # 8.749 * * * * [progress]: [ 67 / 84 ] simplifiying candidate # 8.749 * * * * [progress]: [ 68 / 84 ] simplifiying candidate # 8.749 * * * * [progress]: [ 69 / 84 ] simplifiying candidate # 8.749 * * * * [progress]: [ 70 / 84 ] simplifiying candidate # 8.749 * * * * [progress]: [ 71 / 84 ] simplifiying candidate # 8.749 * * * * [progress]: [ 72 / 84 ] simplifiying candidate #real (real->posit16 (fma n (- (log1p n) (log n)) (log1p n)))) -1))> 8.749 * * * * [progress]: [ 73 / 84 ] simplifiying candidate # 8.749 * * * * [progress]: [ 74 / 84 ] simplifiying candidate # 8.750 * * * * [progress]: [ 75 / 84 ] simplifiying candidate # 8.750 * * * * [progress]: [ 76 / 84 ] simplifiying candidate # 8.750 * * * * [progress]: [ 77 / 84 ] simplifiying candidate # 8.750 * * * * [progress]: [ 78 / 84 ] simplifiying candidate # 8.750 * * * * [progress]: [ 79 / 84 ] simplifiying candidate # 8.750 * * * * [progress]: [ 80 / 84 ] simplifiying candidate # 8.750 * * * * [progress]: [ 81 / 84 ] simplifiying candidate # 8.750 * * * * [progress]: [ 82 / 84 ] simplifiying candidate # 8.750 * * * * [progress]: [ 83 / 84 ] simplifiying candidate # 8.750 * * * * [progress]: [ 84 / 84 ] simplifiying candidate # 8.751 * [simplify]: Simplifying: (fma (* (cbrt (log1p n)) (cbrt (log1p n))) (cbrt (log1p n)) (- (* (log n) 1))) (fma (- (log n)) 1 (* (log n) 1)) (fma (* (cbrt (log1p n)) (cbrt (log1p n))) (cbrt (log1p n)) (- (* (cbrt (log n)) (* (cbrt (log n)) (cbrt (log n)))))) (fma (- (cbrt (log n))) (* (cbrt (log n)) (cbrt (log n))) (* (cbrt (log n)) (* (cbrt (log n)) (cbrt (log n))))) (fma (* (cbrt (log1p n)) (cbrt (log1p n))) (cbrt (log1p n)) (- (* (sqrt (log n)) (sqrt (log n))))) (fma (- (sqrt (log n))) (sqrt (log n)) (* (sqrt (log n)) (sqrt (log n)))) (fma (* (cbrt (log1p n)) (cbrt (log1p n))) (cbrt (log1p n)) (- (* (log n) 1))) (fma (- (log n)) 1 (* (log n) 1)) (fma (sqrt (log1p n)) (sqrt (log1p n)) (- (* (log n) 1))) (fma (- (log n)) 1 (* (log n) 1)) (fma (sqrt (log1p n)) (sqrt (log1p n)) (- (* (cbrt (log n)) (* (cbrt (log n)) (cbrt (log n)))))) (fma (- (cbrt (log n))) (* (cbrt (log n)) (cbrt (log n))) (* (cbrt (log n)) (* (cbrt (log n)) (cbrt (log n))))) (fma (sqrt (log1p n)) (sqrt (log1p n)) (- (* (sqrt (log n)) (sqrt (log n))))) (fma (- (sqrt (log n))) (sqrt (log n)) (* (sqrt (log n)) (sqrt (log n)))) (fma (sqrt (log1p n)) (sqrt (log1p n)) (- (* (log n) 1))) (fma (- (log n)) 1 (* (log n) 1)) (fma 1 (log1p n) (- (* (log n) 1))) (fma (- (log n)) 1 (* (log n) 1)) (fma 1 (log1p n) (- (* (cbrt (log n)) (* (cbrt (log n)) (cbrt (log n)))))) (fma (- (cbrt (log n))) (* (cbrt (log n)) (cbrt (log n))) (* (cbrt (log n)) (* (cbrt (log n)) (cbrt (log n))))) (fma 1 (log1p n) (- (* (sqrt (log n)) (sqrt (log n))))) (fma (- (sqrt (log n))) (sqrt (log n)) (* (sqrt (log n)) (sqrt (log n)))) (fma 1 (log1p n) (- (* (log n) 1))) (fma (- (log n)) 1 (* (log n) 1)) (expm1 (- (log1p n) (log n))) (log1p (- (log1p n) (log n))) (- (log n)) (- (log n)) (- (log n)) (/ (+ 1 n) n) (/ (exp (log1p n)) n) (log (- (log1p n) (log n))) (exp (- (log1p n) (log n))) (* (cbrt (- (log1p n) (log n))) (cbrt (- (log1p n) (log n)))) (cbrt (- (log1p n) (log n))) (* (* (- (log1p n) (log n)) (- (log1p n) (log n))) (- (log1p n) (log n))) (sqrt (- (log1p n) (log n))) (sqrt (- (log1p n) (log n))) (- (pow (log1p n) 3) (pow (log n) 3)) (+ (* (log1p n) (log1p n)) (+ (* (log n) (log n)) (* (log1p n) (log n)))) (- (log n)) (- (* (log1p n) (log1p n)) (* (log n) (log n))) (+ (log1p n) (log n)) (+ (sqrt (log1p n)) (sqrt (log n))) (- (sqrt (log1p n)) (sqrt (log n))) (- (log1p n) (log n)) (- (log1p n) (log n)) (- (log1p n) (log (* (cbrt n) (cbrt n)))) (- (log1p n) (log (sqrt n))) (- (log1p n) (log 1)) (- (log n)) (real->posit16 (- (log1p n) (log n))) (+ 1 n) (expm1 (log1p n)) (log1p (log1p n)) (log (log1p n)) (exp (log1p n)) (* (cbrt (log1p n)) (cbrt (log1p n))) (cbrt (log1p n)) (* (* (log1p n) (log1p n)) (log1p n)) (sqrt (log1p n)) (sqrt (log1p n)) (real->posit16 (log1p n)) (+ 1 n) (expm1 (log1p n)) (log1p (log1p n)) (log (log1p n)) (exp (log1p n)) (* (cbrt (log1p n)) (cbrt (log1p n))) (cbrt (log1p n)) (* (* (log1p n) (log1p n)) (log1p n)) (sqrt (log1p n)) (sqrt (log1p n)) (real->posit16 (log1p n)) (expm1 (fma n (- (log1p n) (log n)) (log1p n))) (log1p (fma n (- (log1p n) (log n)) (log1p n))) (* n (- (log1p n) (log n))) (log (fma n (- (log1p n) (log n)) (log1p n))) (exp (fma n (- (log1p n) (log n)) (log1p n))) (* (cbrt (fma n (- (log1p n) (log n)) (log1p n))) (cbrt (fma n (- (log1p n) (log n)) (log1p n)))) (cbrt (fma n (- (log1p n) (log n)) (log1p n))) (* (* (fma n (- (log1p n) (log n)) (log1p n)) (fma n (- (log1p n) (log n)) (log1p n))) (fma n (- (log1p n) (log n)) (log1p n))) (sqrt (fma n (- (log1p n) (log n)) (log1p n))) (sqrt (fma n (- (log1p n) (log n)) (log1p n))) (real->posit16 (fma n (- (log1p n) (log n)) (log1p n))) (- n (+ (log n) (* 1/2 (pow n 2)))) (- (+ (* 1/3 (/ 1 (pow n 3))) (/ 1 n)) (* 1/2 (/ 1 (pow n 2)))) (- (+ (* 1/3 (/ 1 (pow n 3))) (/ 1 n)) (* 1/2 (/ 1 (pow n 2)))) (- (+ n (* 1/3 (pow n 3))) (* 1/2 (pow n 2))) (- (/ 1 n) (+ (* 1/2 (/ 1 (pow n 2))) (log (/ 1 n)))) (- (+ (log -1) (/ 1 n)) (+ (* 1/2 (/ 1 (pow n 2))) (log (/ -1 n)))) (- (+ n (* 1/3 (pow n 3))) (* 1/2 (pow n 2))) (- (/ 1 n) (+ (* 1/2 (/ 1 (pow n 2))) (log (/ 1 n)))) (- (+ (log -1) (/ 1 n)) (+ (* 1/2 (/ 1 (pow n 2))) (log (/ -1 n)))) (- (+ n (* 1/2 (pow n 2))) (+ (* n (log n)) (* 1/6 (pow n 3)))) (- (+ 1 (* 1/2 (/ 1 n))) (+ (* 1/6 (/ 1 (pow n 2))) (log (/ 1 n)))) (- (+ (log -1) (+ 1 (* 1/2 (/ 1 n)))) (+ (* 1/6 (/ 1 (pow n 2))) (log (/ -1 n)))) 8.752 * * [simplify]: iteration 1: (127 enodes) 8.794 * * [simplify]: iteration 2: (287 enodes) 8.888 * * [simplify]: iteration 3: (703 enodes) 9.592 * * [simplify]: Extracting #0: cost 51 inf + 0 9.593 * * [simplify]: Extracting #1: cost 282 inf + 1 9.598 * * [simplify]: Extracting #2: cost 507 inf + 4723 9.615 * * [simplify]: Extracting #3: cost 305 inf + 56584 9.637 * * [simplify]: Extracting #4: cost 33 inf + 133910 9.672 * * [simplify]: Extracting #5: cost 0 inf + 140197 9.695 * * [simplify]: Extracting #6: cost 0 inf + 140127 9.725 * [simplify]: Simplified to: (- (* (cbrt (log1p n)) (* (cbrt (log1p n)) (cbrt (log1p n)))) (log n)) (* (log n) 0) (- (* (cbrt (log1p n)) (* (cbrt (log1p n)) (cbrt (log1p n)))) (log n)) (* (log n) 0) (- (* (cbrt (log1p n)) (* (cbrt (log1p n)) (cbrt (log1p n)))) (log n)) (* (log n) 0) (- (* (cbrt (log1p n)) (* (cbrt (log1p n)) (cbrt (log1p n)))) (log n)) (* (log n) 0) (- (log1p n) (log n)) (* (log n) 0) (- (log1p n) (log n)) (* (log n) 0) (- (log1p n) (log n)) (* (log n) 0) (- (log1p n) (log n)) (* (log n) 0) (- (log1p n) (log n)) (* (log n) 0) (- (log1p n) (log n)) (* (log n) 0) (- (log1p n) (log n)) (* (log n) 0) (- (log1p n) (log n)) (* (log n) 0) (expm1 (- (log1p n) (log n))) (log1p (- (log1p n) (log n))) (- (log n)) (- (log n)) (- (log n)) (/ (+ 1 n) n) (/ (exp (log1p n)) n) (log (- (log1p n) (log n))) (/ (exp (log1p n)) n) (* (cbrt (- (log1p n) (log n))) (cbrt (- (log1p n) (log n)))) (cbrt (- (log1p n) (log n))) (* (* (- (log1p n) (log n)) (- (log1p n) (log n))) (- (log1p n) (log n))) (sqrt (- (log1p n) (log n))) (sqrt (- (log1p n) (log n))) (- (* (* (log1p n) (log1p n)) (log1p n)) (* (* (log n) (log n)) (log n))) (fma (log n) (+ (log n) (log1p n)) (* (log1p n) (log1p n))) (- (log n)) (- (* (log1p n) (log1p n)) (* (log n) (log n))) (+ (log n) (log1p n)) (+ (sqrt (log n)) (sqrt (log1p n))) (- (sqrt (log1p n)) (sqrt (log n))) (- (log1p n) (log n)) (- (log1p n) (log n)) (- (- (log1p n) (log (cbrt n))) (log (cbrt n))) (- (log1p n) (log (sqrt n))) (log1p n) (- (log n)) (real->posit16 (- (log1p n) (log n))) (+ 1 n) n (log1p (log1p n)) (log (log1p n)) (exp (log1p n)) (* (cbrt (log1p n)) (cbrt (log1p n))) (cbrt (log1p n)) (* (* (log1p n) (log1p n)) (log1p n)) (sqrt (log1p n)) (sqrt (log1p n)) (real->posit16 (log1p n)) (+ 1 n) n (log1p (log1p n)) (log (log1p n)) (exp (log1p n)) (* (cbrt (log1p n)) (cbrt (log1p n))) (cbrt (log1p n)) (* (* (log1p n) (log1p n)) (log1p n)) (sqrt (log1p n)) (sqrt (log1p n)) (real->posit16 (log1p n)) (expm1 (fma n (- (log1p n) (log n)) (log1p n))) (log1p (fma n (- (log1p n) (log n)) (log1p n))) (* (- (log1p n) (log n)) n) (log (fma n (- (log1p n) (log n)) (log1p n))) (exp (fma n (- (log1p n) (log n)) (log1p n))) (* (cbrt (fma n (- (log1p n) (log n)) (log1p n))) (cbrt (fma n (- (log1p n) (log n)) (log1p n)))) (cbrt (fma n (- (log1p n) (log n)) (log1p n))) (* (fma n (- (log1p n) (log n)) (log1p n)) (* (fma n (- (log1p n) (log n)) (log1p n)) (fma n (- (log1p n) (log n)) (log1p n)))) (sqrt (fma n (- (log1p n) (log n)) (log1p n))) (sqrt (fma n (- (log1p n) (log n)) (log1p n))) (real->posit16 (fma n (- (log1p n) (log n)) (log1p n))) (- n (fma 1/2 (* n n) (log n))) (+ (+ (/ -1/2 (* n n)) (/ 1 n)) (/ (/ 1/3 n) (* n n))) (+ (+ (/ -1/2 (* n n)) (/ 1 n)) (/ (/ 1/3 n) (* n n))) (fma (* n n) -1/2 (fma (* (* n n) n) 1/3 n)) (- (/ 1 n) (- (/ (/ 1/2 n) n) (log n))) (+ (- (log -1) (+ (/ (/ 1/2 n) n) (- (log -1) (log n)))) (/ 1 n)) (fma (* n n) -1/2 (fma (* (* n n) n) 1/3 n)) (- (/ 1 n) (- (/ (/ 1/2 n) n) (log n))) (+ (- (log -1) (+ (/ (/ 1/2 n) n) (- (log -1) (log n)))) (/ 1 n)) (- (fma 1/2 (* n n) n) (* n (+ (* 1/6 (* n n)) (log n)))) (+ (- (log n) (/ 1/6 (* n n))) (+ (/ 1/2 n) 1)) (+ (- (- (log -1) (- (log -1) (log n))) (/ 1/6 (* n n))) (+ (/ 1/2 n) 1)) 9.730 * * * [progress]: adding candidates to table 10.474 * * [progress]: iteration 2 / 4 10.474 * * * [progress]: picking best candidate 10.479 * * * * [pick]: Picked # 10.479 * * * [progress]: localizing error 10.523 * * * [progress]: generating rewritten candidates 10.523 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1 1 2) 10.538 * * * [progress]: generating series expansions 10.539 * * * * [progress]: [ 1 / 1 ] generating series at (2 1 1 2) 10.539 * [backup-simplify]: Simplify (/ 1/6 (* n n)) into (/ 1/6 (pow n 2)) 10.539 * [approximate]: Taking taylor expansion of (/ 1/6 (pow n 2)) in (n) around 0 10.539 * [taylor]: Taking taylor expansion of (/ 1/6 (pow n 2)) in n 10.539 * [taylor]: Taking taylor expansion of 1/6 in n 10.539 * [backup-simplify]: Simplify 1/6 into 1/6 10.539 * [taylor]: Taking taylor expansion of (pow n 2) in n 10.539 * [taylor]: Taking taylor expansion of n in n 10.539 * [backup-simplify]: Simplify 0 into 0 10.539 * [backup-simplify]: Simplify 1 into 1 10.539 * [backup-simplify]: Simplify (* 1 1) into 1 10.540 * [backup-simplify]: Simplify (/ 1/6 1) into 1/6 10.540 * [taylor]: Taking taylor expansion of (/ 1/6 (pow n 2)) in n 10.540 * [taylor]: Taking taylor expansion of 1/6 in n 10.540 * [backup-simplify]: Simplify 1/6 into 1/6 10.540 * [taylor]: Taking taylor expansion of (pow n 2) in n 10.540 * [taylor]: Taking taylor expansion of n in n 10.540 * [backup-simplify]: Simplify 0 into 0 10.540 * [backup-simplify]: Simplify 1 into 1 10.540 * [backup-simplify]: Simplify (* 1 1) into 1 10.540 * [backup-simplify]: Simplify (/ 1/6 1) into 1/6 10.540 * [backup-simplify]: Simplify 1/6 into 1/6 10.541 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.541 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/6 (/ 0 1)))) into 0 10.541 * [backup-simplify]: Simplify 0 into 0 10.542 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.542 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/6 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.543 * [backup-simplify]: Simplify 0 into 0 10.543 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.544 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/6 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.544 * [backup-simplify]: Simplify 0 into 0 10.544 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 10.545 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/6 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.545 * [backup-simplify]: Simplify 0 into 0 10.546 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 10.546 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/6 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.546 * [backup-simplify]: Simplify 0 into 0 10.547 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 10.548 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/6 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.548 * [backup-simplify]: Simplify 0 into 0 10.548 * [backup-simplify]: Simplify (* 1/6 (pow (/ 1 n) 2)) into (/ 1/6 (pow n 2)) 10.548 * [backup-simplify]: Simplify (/ 1/6 (* (/ 1 n) (/ 1 n))) into (* 1/6 (pow n 2)) 10.548 * [approximate]: Taking taylor expansion of (* 1/6 (pow n 2)) in (n) around 0 10.548 * [taylor]: Taking taylor expansion of (* 1/6 (pow n 2)) in n 10.548 * [taylor]: Taking taylor expansion of 1/6 in n 10.548 * [backup-simplify]: Simplify 1/6 into 1/6 10.548 * [taylor]: Taking taylor expansion of (pow n 2) in n 10.548 * [taylor]: Taking taylor expansion of n in n 10.548 * [backup-simplify]: Simplify 0 into 0 10.548 * [backup-simplify]: Simplify 1 into 1 10.548 * [taylor]: Taking taylor expansion of (* 1/6 (pow n 2)) in n 10.548 * [taylor]: Taking taylor expansion of 1/6 in n 10.548 * [backup-simplify]: Simplify 1/6 into 1/6 10.548 * [taylor]: Taking taylor expansion of (pow n 2) in n 10.548 * [taylor]: Taking taylor expansion of n in n 10.548 * [backup-simplify]: Simplify 0 into 0 10.548 * [backup-simplify]: Simplify 1 into 1 10.549 * [backup-simplify]: Simplify (* 1 1) into 1 10.549 * [backup-simplify]: Simplify (* 1/6 1) into 1/6 10.549 * [backup-simplify]: Simplify 1/6 into 1/6 10.549 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.550 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 1)) into 0 10.550 * [backup-simplify]: Simplify 0 into 0 10.550 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.551 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 1))) into 0 10.551 * [backup-simplify]: Simplify 0 into 0 10.552 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.552 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.552 * [backup-simplify]: Simplify 0 into 0 10.553 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 10.554 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 10.554 * [backup-simplify]: Simplify 0 into 0 10.555 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 10.555 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 10.555 * [backup-simplify]: Simplify 0 into 0 10.556 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 10.557 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 10.557 * [backup-simplify]: Simplify 0 into 0 10.557 * [backup-simplify]: Simplify (* 1/6 (pow (/ 1 n) 2)) into (/ 1/6 (pow n 2)) 10.557 * [backup-simplify]: Simplify (/ 1/6 (* (/ 1 (- n)) (/ 1 (- n)))) into (* 1/6 (pow n 2)) 10.557 * [approximate]: Taking taylor expansion of (* 1/6 (pow n 2)) in (n) around 0 10.557 * [taylor]: Taking taylor expansion of (* 1/6 (pow n 2)) in n 10.558 * [taylor]: Taking taylor expansion of 1/6 in n 10.558 * [backup-simplify]: Simplify 1/6 into 1/6 10.558 * [taylor]: Taking taylor expansion of (pow n 2) in n 10.558 * [taylor]: Taking taylor expansion of n in n 10.558 * [backup-simplify]: Simplify 0 into 0 10.558 * [backup-simplify]: Simplify 1 into 1 10.558 * [taylor]: Taking taylor expansion of (* 1/6 (pow n 2)) in n 10.558 * [taylor]: Taking taylor expansion of 1/6 in n 10.558 * [backup-simplify]: Simplify 1/6 into 1/6 10.558 * [taylor]: Taking taylor expansion of (pow n 2) in n 10.558 * [taylor]: Taking taylor expansion of n in n 10.558 * [backup-simplify]: Simplify 0 into 0 10.558 * [backup-simplify]: Simplify 1 into 1 10.558 * [backup-simplify]: Simplify (* 1 1) into 1 10.558 * [backup-simplify]: Simplify (* 1/6 1) into 1/6 10.558 * [backup-simplify]: Simplify 1/6 into 1/6 10.559 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.559 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 1)) into 0 10.559 * [backup-simplify]: Simplify 0 into 0 10.560 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.560 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 1))) into 0 10.560 * [backup-simplify]: Simplify 0 into 0 10.561 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.561 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.561 * [backup-simplify]: Simplify 0 into 0 10.562 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 10.563 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 10.563 * [backup-simplify]: Simplify 0 into 0 10.564 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 10.566 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 10.566 * [backup-simplify]: Simplify 0 into 0 10.568 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 10.569 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 10.570 * [backup-simplify]: Simplify 0 into 0 10.570 * [backup-simplify]: Simplify (* 1/6 (pow (/ 1 (- n)) 2)) into (/ 1/6 (pow n 2)) 10.570 * * * [progress]: simplifying candidates 10.570 * * * * [progress]: [ 1 / 27 ] simplifiying candidate # 10.570 * * * * [progress]: [ 2 / 27 ] simplifiying candidate # 10.570 * * * * [progress]: [ 3 / 27 ] simplifiying candidate # 10.570 * * * * [progress]: [ 4 / 27 ] simplifiying candidate # 10.570 * * * * [progress]: [ 5 / 27 ] simplifiying candidate # 10.570 * * * * [progress]: [ 6 / 27 ] simplifiying candidate # 10.570 * * * * [progress]: [ 7 / 27 ] simplifiying candidate # 10.570 * * * * [progress]: [ 8 / 27 ] simplifiying candidate # 10.570 * * * * [progress]: [ 9 / 27 ] simplifiying candidate # 10.570 * * * * [progress]: [ 10 / 27 ] simplifiying candidate # 10.570 * * * * [progress]: [ 11 / 27 ] simplifiying candidate # 10.571 * * * * [progress]: [ 12 / 27 ] simplifiying candidate # 10.571 * * * * [progress]: [ 13 / 27 ] simplifiying candidate # 10.571 * * * * [progress]: [ 14 / 27 ] simplifiying candidate # 10.571 * * * * [progress]: [ 15 / 27 ] simplifiying candidate # 10.571 * * * * [progress]: [ 16 / 27 ] simplifiying candidate # 10.571 * * * * [progress]: [ 17 / 27 ] simplifiying candidate # 10.571 * * * * [progress]: [ 18 / 27 ] simplifiying candidate # 10.571 * * * * [progress]: [ 19 / 27 ] simplifiying candidate # 10.571 * * * * [progress]: [ 20 / 27 ] simplifiying candidate # 10.571 * * * * [progress]: [ 21 / 27 ] simplifiying candidate # 10.571 * * * * [progress]: [ 22 / 27 ] simplifiying candidate # 10.571 * * * * [progress]: [ 23 / 27 ] simplifiying candidate # 10.571 * * * * [progress]: [ 24 / 27 ] simplifiying candidate #real (real->posit16 (/ 1/6 (* n n))))) (+ (/ 1/2 n) 1)) -1))> 10.571 * * * * [progress]: [ 25 / 27 ] simplifiying candidate # 10.571 * * * * [progress]: [ 26 / 27 ] simplifiying candidate # 10.572 * * * * [progress]: [ 27 / 27 ] simplifiying candidate # 10.572 * [simplify]: Simplifying: (expm1 (/ 1/6 (* n n))) (log1p (/ 1/6 (* n n))) (- (log 1/6) (+ (log n) (log n))) (- (log 1/6) (log (* n n))) (log (/ 1/6 (* n n))) (exp (/ 1/6 (* n n))) (/ (* (* 1/6 1/6) 1/6) (* (* (* n n) n) (* (* n n) n))) (/ (* (* 1/6 1/6) 1/6) (* (* (* n n) (* n n)) (* n n))) (* (cbrt (/ 1/6 (* n n))) (cbrt (/ 1/6 (* n n)))) (cbrt (/ 1/6 (* n n))) (* (* (/ 1/6 (* n n)) (/ 1/6 (* n n))) (/ 1/6 (* n n))) (sqrt (/ 1/6 (* n n))) (sqrt (/ 1/6 (* n n))) (- 1/6) (- (* n n)) (/ (* (cbrt 1/6) (cbrt 1/6)) n) (/ (cbrt 1/6) n) (/ (sqrt 1/6) n) (/ (sqrt 1/6) n) (/ 1 n) (/ 1/6 n) (/ 1 (* n n)) (/ (* n n) 1/6) (/ 1/6 n) (/ (* n n) (cbrt 1/6)) (/ (* n n) (sqrt 1/6)) (/ (* n n) 1/6) (real->posit16 (/ 1/6 (* n n))) (/ 1/6 (pow n 2)) (/ 1/6 (pow n 2)) (/ 1/6 (pow n 2)) 10.573 * * [simplify]: iteration 1: (46 enodes) 10.596 * * [simplify]: iteration 2: (104 enodes) 10.619 * * [simplify]: iteration 3: (277 enodes) 10.783 * * [simplify]: iteration 4: (900 enodes) 12.689 * * [simplify]: Extracting #0: cost 21 inf + 0 12.691 * * [simplify]: Extracting #1: cost 317 inf + 1 12.698 * * [simplify]: Extracting #2: cost 582 inf + 7636 12.736 * * [simplify]: Extracting #3: cost 50 inf + 74524 12.775 * * [simplify]: Extracting #4: cost 2 inf + 81310 12.801 * * [simplify]: Extracting #5: cost 0 inf + 81754 12.827 * [simplify]: Simplified to: (expm1 (/ (/ 1/6 n) n)) (log1p (/ (/ 1/6 n) n)) (log (/ (/ 1/6 n) n)) (log (/ (/ 1/6 n) n)) (log (/ (/ 1/6 n) n)) (exp (/ (/ 1/6 n) n)) (/ 1/216 (* (* (* n n) n) (* (* n n) n))) (/ 1/216 (* (* (* n n) n) (* (* n n) n))) (* (cbrt (/ (/ 1/6 n) n)) (cbrt (/ (/ 1/6 n) n))) (cbrt (/ (/ 1/6 n) n)) (/ 1/216 (* (* (* n n) n) (* (* n n) n))) (sqrt (/ (/ 1/6 n) n)) (sqrt (/ (/ 1/6 n) n)) -1/6 (- (* n n)) (* (cbrt 1/6) (/ (cbrt 1/6) n)) (/ (cbrt 1/6) n) (/ (sqrt 1/6) n) (/ (sqrt 1/6) n) (/ 1 n) (/ 1/6 n) (/ 1 (* n n)) (/ (* n n) 1/6) (/ 1/6 n) (/ n (/ (cbrt 1/6) n)) (/ (* n n) (sqrt 1/6)) (/ (* n n) 1/6) (real->posit16 (/ (/ 1/6 n) n)) (/ (/ 1/6 n) n) (/ (/ 1/6 n) n) (/ (/ 1/6 n) n) 12.830 * * * [progress]: adding candidates to table 13.174 * [progress]: [Phase 3 of 3] Extracting. 13.177 * [simplify]: Simplifying: (+ (+ (- (log n) (/ 1/6 (* n n))) (+ (/ 1/2 n) 1)) -1) 13.177 * * [simplify]: iteration 1: (13 enodes) 13.177 * * [simplify]: iteration 2: (16 enodes) 13.178 * * [simplify]: Extracting #0: cost 1 inf + 0 13.178 * * [simplify]: Extracting #1: cost 3 inf + 0 13.178 * * [simplify]: Extracting #2: cost 4 inf + 1 13.178 * * [simplify]: Extracting #3: cost 8 inf + 1 13.178 * * [simplify]: Extracting #4: cost 11 inf + 2 13.178 * * [simplify]: Extracting #5: cost 8 inf + 5 13.178 * * [simplify]: Extracting #6: cost 4 inf + 242 13.178 * * [simplify]: Extracting #7: cost 2 inf + 516 13.178 * * [simplify]: Extracting #8: cost 0 inf + 1185 13.178 * [simplify]: Simplified to: (+ -1 (+ (- (log n) (/ 1/6 (* n n))) (+ (/ 1/2 n) 1))) 19.984 * [regime-testing]: Baseline error score: 0.002125265658207276 19.986 * [regime-testing]: Oracle error score: 0.002125265658207276 19.987 * [regime-testing]: End program error score: 0.002125265658207276 20.056 * [regime-testing]: Target error score: 0