Details

sample158.0ms

Algorithm

intervals

Results

82.0ms	119×	body	1280	valid
42.0ms	84×	body	640	valid
14.0ms	39×	body	320	valid
8.0ms	256×	pre	80	true
3.0ms	14×	body	160	valid

simplify180.0ms

Calls

1 calls:

Slowest

180.0ms

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

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 62.0b

localize30.0ms

Local error

Found 3 expressions with local error:

6.1b	(- (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)

rewrite6.0ms

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

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)

series517.0ms

Calls

3 calls:

Slowest

340.0ms	(fma n (log n) 1)
104.0ms	(- (fma n (log1p n) (log1p n)) (fma n (log n) 1))
73.0ms	(fma n (log1p n) (log1p n))

simplify5.7s

Calls

34 calls:

Slowest

449.0ms	(- (+ 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)))
331.0ms	(- (+ 1 (* 1/2 (/ 1 n))) (+ (* n (log (/ 1 n))) (log (/ 1 n))))
318.0ms	(- (+ n (* 1/2 (pow n 2))) (* 1/6 (pow n 3)))
316.0ms	(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))))))

prune355.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize31.0ms

Local error

Found 1 expressions with local error:

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

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

45×	`add-sqr-sqrt` `times-frac`
37×	`*-un-lft-identity` `add-cube-cbrt`
15×	`associate-/r*`
12×	`swap-sqr` `associate-r` `associate-l`
6×	`add-cbrt-cube` `add-exp-log`
4×	`*-commutative` `unswap-sqr`
3×	`associate-/l*`
2×	`cbrt-undiv` `div-exp`
1×	`expm1-log1p-u` `pow1` `clear-num` `frac-2neg` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`

Calls

1 calls:

Slowest

23.0ms

(/ 1/6 (* n n))

series28.0ms

Calls

1 calls:

Slowest

28.0ms

(/ 1/6 (* n n))

simplify2.1s

Calls

111 calls:

Slowest

278.0ms	(/ (* (* 1/6 1/6) 1/6) (* (* (* n n) n) (* (* n n) n)))
249.0ms	(/ (* (* 1/6 1/6) 1/6) (* (* (* n n) (* n n)) (* n n)))
184.0ms	(/ (* (cbrt 1/6) (cbrt 1/6)) (* (* (cbrt n) (cbrt n)) (* (cbrt n) (cbrt n))))
111.0ms	(/ (* (cbrt 1/6) (cbrt 1/6)) (* n (* (cbrt n) (cbrt n))))
56.0ms	(/ 1 (* (* (cbrt n) (cbrt n)) (* (cbrt n) (cbrt n))))

prune641.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

end0.0ms

sample6.0s

Algorithm

intervals

Results

3.1s	3666×	body	1280	valid
1.9s	2618×	body	640	valid
490.0ms	1297×	body	320	valid
261.0ms	8000×	pre	80	true
92.0ms	419×	body	160	valid