Details

sample151.0ms

Algorithm

intervals

Results

79.0ms	123×	body	1280	valid
40.0ms	85×	body	640	valid
10.0ms	36×	body	320	valid
7.0ms	256×	pre	80	true
2.0ms	12×	body	160	valid

simplify220.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

220.0ms

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

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 62.0b

localize19.0ms

Local error

Found 3 expressions with local error:

4.8b	(- (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)

rewrite10.0ms

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)

series590.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

379.0ms	(fma n (log n) 1)
140.0ms	(- (fma n (log1p n) (log1p n)) (fma n (log n) 1))
71.0ms	(fma n (log1p n) (log1p n))

simplify5.8s

Counts

34 → 62

Calls

34 calls:

Slowest

484.0ms	(- (+ n (* 1/2 (pow n 2))) (+ (* n (log n)) 1))
423.0ms	(fma 1 (fma n (log1p n) (log1p n)) (- (* (fma n (log n) 1) 1)))
368.0ms	(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))))))
361.0ms	(- (+ 1 (* 1/2 (/ 1 n))) (+ (* n (log (/ 1 n))) (log (/ 1 n))))
336.0ms	(- (+ (* n (log -1)) 1) (* n (log (/ -1 n))))

prune364.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize23.0ms

Local error

Found 1 expressions with local error:

0.7b	(/ 1/6 (* n n))

rewrite6.0ms

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

6.0ms

(/ 1/6 (* n n))

series44.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

44.0ms

(/ 1/6 (* n n))

simplify770.0ms

Counts

15 → 27

Calls

15 calls:

Slowest

333.0ms	(/ (* (* 1/6 1/6) 1/6) (* (* (* n n) n) (* (* n n) n)))
237.0ms	(/ (* (* 1/6 1/6) 1/6) (* (* (* n n) (* n n)) (* n n)))
47.0ms	(- (log 1/6) (log (* n n)))
25.0ms	(/ (* (cbrt 1/6) (cbrt 1/6)) n)
25.0ms	(- (log 1/6) (+ (log n) (log n)))

prune218.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

end0.0ms

sample6.1s

Algorithm

intervals

Results

3.1s	3633×	body	1280	valid
1.7s	2673×	body	640	valid
925.0ms	1267×	body	320	valid
223.0ms	8000×	pre	80	true
91.0ms	427×	body	160	valid