Details

sample172.0ms

Algorithm

intervals

Results

78.0ms	113×	body	1280	valid
56.0ms	80×	body	640	valid
17.0ms	50×	body	320	valid
7.0ms	256×	pre	80	true
3.0ms	13×	body	160	valid

simplify167.0ms

Calls

1 calls:

Slowest

166.0ms

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

prune20.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 62.0b

localize33.0ms

Local error

Found 3 expressions with local error:

6.3b	(- (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)

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`

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)

series550.0ms

Calls

3 calls:

Slowest

371.0ms	(fma n (log n) 1)
107.0ms	(- (fma n (log1p n) (log1p n)) (fma n (log n) 1))
72.0ms	(fma n (log1p n) (log1p n))

simplify4.8s

Calls

34 calls:

Slowest

455.0ms	(- (+ n (* 1/2 (pow n 2))) (+ (* n (log n)) 1))
342.0ms	(- (+ 1 (* 1/2 (/ 1 n))) (+ (* n (log (/ 1 n))) (log (/ 1 n))))
326.0ms	(fma 1 (fma n (log1p n) (log1p n)) (- (* (fma n (log n) 1) 1)))
263.0ms	(- (+ (* n (log -1)) 1) (* n (log (/ -1 n))))
248.0ms	(- (+ n (* 1/2 (pow n 2))) (* 1/6 (pow n 3)))

prune395.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize17.0ms

Local error

Found 2 expressions with local error:

0.4b	(/ 1/6 n)
0.1b	(/ (/ 1/6 n) n)

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

2 calls:

Slowest

3.0ms	(/ (/ 1/6 n) n)
0.0ms	(/ 1/6 n)

series27.0ms

Calls

2 calls:

Slowest

18.0ms	(/ (/ 1/6 n) n)
9.0ms	(/ 1/6 n)

simplify52.0ms

Calls

8 calls:

Slowest

15.0ms	(/ 1/6 (pow n 2))
8.0ms	(/ 1/6 (pow n 2))
8.0ms	(/ 1/6 (pow n 2))
6.0ms	(* (cbrt (/ 1/6 n)) (cbrt (/ 1/6 n)))
4.0ms	(sqrt (/ 1/6 n))

prune301.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

end0.0ms

sample5.7s

Algorithm

intervals

Results

2.9s	3569×	body	1280	valid
1.4s	2630×	body	640	valid
990.0ms	1358×	body	320	valid
226.0ms	8000×	pre	80	true
121.0ms	443×	body	160	valid