Details

sample139.0ms

Algorithm

intervals

Results

68.0ms	110×	body	1280	valid
37.0ms	84×	body	640	valid
13.0ms	45×	body	320	valid
8.0ms	256×	pre	80	true
3.0ms	17×	body	160	valid

simplify311.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

311.0ms

(- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1)

prune22.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 62.0b

localize33.0ms

Local error

Found 3 expressions with local error:

7.1b	(- (fma n (log1p n) (log1p n)) (fma n (log n) 1))
0.2b	(fma n (log1p n) (log1p n))
0.2b	(fma n (log n) 1)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `*-un-lft-identity`
10×	`add-cube-cbrt`
9×	`prod-diff`
5×	`add-log-exp`
4×	`fma-udef`
3×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `fma-neg` `add-exp-log` `insert-posit16` `log1p-expm1-u`
1×	`sub-neg` `flip3--` `diff-log` `associate--l+` `flip--` `associate--r+` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 53

Calls

3 calls:

Slowest

10.0ms	(- (fma n (log1p n) (log1p n)) (fma n (log n) 1))
0.0ms	(fma n (log1p n) (log1p n))
0.0ms	(fma n (log n) 1)

series643.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

389.0ms	(fma n (log n) 1)
165.0ms	(- (fma n (log1p n) (log1p n)) (fma n (log n) 1))
89.0ms	(fma n (log1p n) (log1p n))

simplify5.9s

Counts

34 → 62

Calls

34 calls:

Slowest

462.0ms	(- (+ n (* 1/2 (pow n 2))) (+ (* n (log n)) 1))
405.0ms	(- (+ 1 (* 1/2 (/ 1 n))) (+ (* n (log (/ 1 n))) (log (/ 1 n))))
371.0ms	(fma 1 (fma n (log1p n) (log1p n)) (- (* (cbrt (fma n (log n) 1)) (* (cbrt (fma n (log n) 1)) (cbrt (fma n (log n) 1))))))
353.0ms	(- (+ n (* 1/2 (pow n 2))) (* 1/6 (pow n 3)))
350.0ms	(fma 1 (fma n (log1p n) (log1p n)) (- (* (fma n (log n) 1) 1)))

prune372.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize36.0ms

Local error

Found 1 expressions with local error:

0.5b	(/ 1/6 (* n n))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-cbrt-cube` `add-exp-log`
3×	`add-sqr-sqrt` `-un-lft-identity` `times-frac` `add-cube-cbrt` `associate-/l`
2×	`cbrt-undiv` `div-exp`
1×	`expm1-log1p-u` `pow1` `clear-num` `associate-/r*` `frac-2neg` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 24

Calls

1 calls:

Slowest

12.0ms

(/ 1/6 (* n n))

series31.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

31.0ms

(/ 1/6 (* n n))

simplify766.0ms

Counts

15 → 27

Calls

15 calls:

Slowest

347.0ms	(/ (* (* 1/6 1/6) 1/6) (* (* (* n n) n) (* (* n n) n)))
221.0ms	(/ (* (* 1/6 1/6) 1/6) (* (* (* n n) (* n n)) (* n n)))
48.0ms	(- (log 1/6) (log (* n n)))
24.0ms	(- (log 1/6) (+ (log n) (log n)))
23.0ms	(/ (* (cbrt 1/6) (cbrt 1/6)) n)

prune238.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

end0.0ms

sample6.2s

Algorithm

intervals

Results

3.5s	3651×	body	1280	valid
1.6s	2604×	body	640	valid
511.0ms	1320×	body	320	valid
263.0ms	8000×	pre	80	true
92.0ms	425×	body	160	valid