Details

sample120.0ms

Algorithm

intervals

Results

65.0ms	125×	body	1280	valid
29.0ms	87×	body	640	valid
9.0ms	38×	body	320	valid
6.0ms	256×	pre	80	true
1.0ms	6×	body	160	valid

simplify221.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

221.0ms

(- (- (* (+ 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

localize28.0ms

Local error

Found 3 expressions with local error:

3.9b	(- (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

9.0ms	(- (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)

series563.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

359.0ms	(fma n (log n) 1)
146.0ms	(- (fma n (log1p n) (log1p n)) (fma n (log n) 1))
58.0ms	(fma n (log1p n) (log1p n))

simplify5.9s

Counts

34 → 62

Calls

34 calls:

Slowest

459.0ms	(- (+ n (* 1/2 (pow n 2))) (+ (* n (log n)) 1))
348.0ms	(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))))))
339.0ms	(fma 1 (fma n (log1p n) (log1p n)) (- (* (fma n (log n) 1) 1)))
337.0ms	(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))))))
329.0ms	(- (+ (* n (log -1)) 1) (* n (log (/ -1 n))))

prune291.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize30.0ms

Local error

Found 1 expressions with local error:

0.6b	(/ 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

13.0ms

(/ 1/6 (* n n))

series52.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

52.0ms

(/ 1/6 (* n n))

simplify831.0ms

Counts

15 → 27

Calls

15 calls:

Slowest

330.0ms	(/ (* (* 1/6 1/6) 1/6) (* (* (* n n) n) (* (* n n) n)))
324.0ms	(/ (* (* 1/6 1/6) 1/6) (* (* (* n n) (* n n)) (* n n)))
39.0ms	(- (log 1/6) (log (* n n)))
25.0ms	(- (log 1/6) (+ (log n) (log n)))
22.0ms	(/ (* (cbrt 1/6) (cbrt 1/6)) n)

prune186.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

end0.0ms

sample5.7s

Algorithm

intervals

Results

2.8s	3646×	body	1280	valid
1.9s	2645×	body	640	valid
498.0ms	1283×	body	320	valid
248.0ms	8000×	pre	80	true
90.0ms	426×	body	160	valid