Details

sample154.0ms

Algorithm

intervals

Results

74.0ms	106×	body	1280	valid
44.0ms	96×	body	640	valid
15.0ms	42×	body	320	valid
8.0ms	256×	pre	80	true
3.0ms	12×	body	160	valid

simplify271.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

271.0ms

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

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 62.0b

localize35.0ms

Local error

Found 3 expressions with local error:

5.1b	(- (fma n (log1p n) (log1p n)) (fma n (log n) 1))
0.2b	(fma n (log n) 1)
0.2b	(fma n (log1p n) (log1p n))

rewrite13.0ms

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

11.0ms	(- (fma n (log1p n) (log1p n)) (fma n (log n) 1))
0.0ms	(fma n (log n) 1)
0.0ms	(fma n (log1p n) (log1p n))

series941.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

517.0ms	(- (fma n (log1p n) (log1p n)) (fma n (log n) 1))
347.0ms	(fma n (log n) 1)
77.0ms	(fma n (log1p n) (log1p n))

simplify5.6s

Counts

34 → 62

Calls

34 calls:

Slowest

476.0ms	(- (+ n (* 1/2 (pow n 2))) (+ (* n (log n)) 1))
363.0ms	(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))))))
350.0ms	(fma 1 (fma n (log1p n) (log1p n)) (- (* (fma n (log n) 1) 1)))
333.0ms	(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))))))
332.0ms	(- (+ n (* 1/2 (pow n 2))) (* 1/6 (pow n 3)))

prune341.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize20.0ms

Local error

Found 1 expressions with local error:

1.4b	(/ 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))

series51.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

51.0ms

(/ 1/6 (* n n))

simplify885.0ms

Counts

15 → 27

Calls

15 calls:

Slowest

367.0ms	(/ (* (* 1/6 1/6) 1/6) (* (* (* n n) n) (* (* n n) n)))
344.0ms	(/ (* (* 1/6 1/6) 1/6) (* (* (* n n) (* n n)) (* n n)))
49.0ms	(- (log 1/6) (+ (log n) (log n)))
43.0ms	(- (log 1/6) (log (* n n)))
19.0ms	(/ (* (cbrt 1/6) (cbrt 1/6)) n)

prune237.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

end0.0ms

sample6.0s

Algorithm

intervals

Results

3.0s	3627×	body	1280	valid
1.6s	2628×	body	640	valid
962.0ms	1322×	body	320	valid
268.0ms	8000×	pre	80	true
92.0ms	423×	body	160	valid