Details

sample138.0ms

Algorithm

intervals

Results

78.0ms	125×	body	1280	valid
30.0ms	77×	body	640	valid
13.0ms	42×	body	320	valid
7.0ms	256×	pre	80	true
2.0ms	12×	body	160	valid

simplify256.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

256.0ms

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

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 62.0b

localize29.0ms

Local error

Found 3 expressions with local error:

6.1b	(- (fma n (log1p n) (log1p n)) (fma n (log n) 1))
0.3b	(fma n (log1p n) (log1p n))
0.3b	(fma n (log n) 1)

rewrite9.0ms

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

8.0ms	(- (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)

series542.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

355.0ms	(fma n (log n) 1)
135.0ms	(- (fma n (log1p n) (log1p n)) (fma n (log n) 1))
52.0ms	(fma n (log1p n) (log1p n))

simplify5.8s

Counts

34 → 62

Calls

34 calls:

Slowest

462.0ms	(- (+ n (* 1/2 (pow n 2))) (+ (* n (log n)) 1))
357.0ms	(- (+ 1 (* 1/2 (/ 1 n))) (+ (* n (log (/ 1 n))) (log (/ 1 n))))
355.0ms	(fma (sqrt (fma n (log1p n) (log1p n))) (sqrt (fma n (log1p n) (log1p n))) (- (* (cbrt (fma n (log n) 1)) (* (cbrt (fma n (log n) 1)) (cbrt (fma n (log n) 1))))))
354.0ms	(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	(fma 1 (fma n (log1p n) (log1p n)) (- (* (fma n (log n) 1) 1)))

prune402.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize33.0ms

Local error

Found 1 expressions with local error:

0.8b	(/ 1/6 (* n n))

rewrite14.0ms

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

13.0ms

(/ 1/6 (* n n))

series38.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

38.0ms

(/ 1/6 (* n n))

simplify808.0ms

Counts

15 → 27

Calls

15 calls:

Slowest

347.0ms	(/ (* (* 1/6 1/6) 1/6) (* (* (* n n) n) (* (* n n) n)))
284.0ms	(/ (* (* 1/6 1/6) 1/6) (* (* (* n n) (* n n)) (* n n)))
49.0ms	(- (log 1/6) (+ (log n) (log n)))
31.0ms	(- (log 1/6) (log (* n n)))
20.0ms	(/ 1/6 (pow n 2))

prune265.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

end0.0ms

sample6.3s

Algorithm

intervals

Results

3.0s	3654×	body	1280	valid
1.5s	2638×	body	640	valid
1.3s	1285×	body	320	valid
290.0ms	8000×	pre	80	true
160.0ms	423×	body	160	valid