Details

sample191.0ms

Algorithm

intervals

Results

91.0ms	110×	body	1280	valid
47.0ms	80×	body	640	valid
27.0ms	47×	body	320	valid
9.0ms	256×	pre	80	true
5.0ms	19×	body	160	valid

simplify185.0ms

Calls

1 calls:

Slowest

184.0ms

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

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 62.0b

localize21.0ms

Local error

Found 4 expressions with local error:

6.5b	(- (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)
0.0b	(log1p n)

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

4 calls:

Slowest

5.0ms	(- (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)
0.0ms	(log1p n)

series651.0ms

Calls

4 calls:

Slowest

392.0ms	(fma n (log n) 1)
164.0ms	(- (fma n (log1p n) (log1p n)) (fma n (log n) 1))
62.0ms	(fma n (log1p n) (log1p n))
34.0ms	(log1p n)

simplify6.1s

Calls

37 calls:

Slowest

547.0ms	(/ (exp (fma n (log1p n) (log1p n))) (exp (fma n (log n) 1)))
474.0ms	(- (+ n (* 1/2 (pow n 2))) (+ (* n (log n)) 1))
453.0ms	(- (+ (log -1) (/ 1 n)) (+ (* 1/2 (/ 1 (pow n 2))) (log (/ -1 n))))
327.0ms	(fma 1 (fma n (log1p n) (log1p n)) (- (* (fma n (log n) 1) 1)))
321.0ms	(- (+ 1 (* 1/2 (/ 1 n))) (+ (* n (log (/ 1 n))) (log (/ 1 n))))

prune495.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize25.0ms

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)

series57.0ms

Calls

2 calls:

Slowest

40.0ms	(/ (/ 1/6 n) n)
17.0ms	(/ 1/6 n)

simplify85.0ms

Calls

8 calls:

Slowest

15.0ms	(/ 1/6 (pow n 2))
15.0ms	(/ 1/6 (pow n 2))
15.0ms	(/ 1/6 (pow n 2))
11.0ms	(sqrt (/ 1/6 n))
8.0ms	(* (cbrt (/ 1/6 n)) (cbrt (/ 1/6 n)))

prune268.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

end0.0ms

sample5.9s

Algorithm

intervals

Results

3.3s	3636×	body	1280	valid
1.4s	2597×	body	640	valid
645.0ms	1353×	body	320	valid
345.0ms	8000×	pre	80	true
93.0ms	414×	body	160	valid