Details

sample156.0ms

Algorithm

intervals

Results

82.0ms	112×	body	1280	valid
37.0ms	83×	body	640	valid
16.0ms	48×	body	320	valid
7.0ms	256×	pre	80	true
3.0ms	13×	body	160	valid

simplify6.0s

Counts

1 → 1

Iterations

Iter	Nodes
10	2647
9	1842
8	1121
7	613
6	398
5	290
4	144
3	83
2	51
1	22
0	9

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 44.3b

localize34.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (log1p n) (fma n (- (log1p n) (log n)) -1))
0.9b	(fma n (- (log1p n) (log n)) -1)
4.4b	(- (log1p n) (log n))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

18×	`*-un-lft-identity`
15×	`add-sqr-sqrt`
13×	`add-cube-cbrt`
12×	`prod-diff`
7×	`pow1` `add-log-exp`
4×	`log-pow`
3×	`expm1-log1p-u` `log-prod` `fma-def` `add-cbrt-cube` `fma-neg` `add-exp-log` `insert-posit16` `log1p-expm1-u` `associate--r+`
2×	`log1p-udef` `sum-log` `diff-log` `fma-udef` `distribute-lft-out--`
1×	`+-commutative` `associate-+r+` `sub-neg` `flip3-+` `flip3--` `flip-+` `flip--` `distribute-lft-out` `difference-of-squares`

Counts

3 → 68

Calls

3 calls:

11.0ms	(+ (log1p n) (fma n (- (log1p n) (log n)) -1))
1.0ms	(fma n (- (log1p n) (log n)) -1)
18.0ms	(- (log1p n) (log n))

series360.0ms

Counts

3 → 9

Calls

3 calls:

113.0ms	(+ (log1p n) (fma n (- (log1p n) (log n)) -1))
150.0ms	(fma n (- (log1p n) (log n)) -1)
97.0ms	(- (log1p n) (log n))

simplify1.4s

Counts

77 → 77

Iterations

Iter	Nodes
3	2829
2	848
1	327
0	139

prune800.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize17.0ms

Local error

Found 1 expressions with local error:

0.6b	(/ -1/6 (* n n))

rewrite18.0ms

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:

17.0ms

(/ -1/6 (* n n))

series50.0ms

Counts

1 → 3

Calls

1 calls:

50.0ms

(/ -1/6 (* n n))

simplify2.4s

Counts

27 → 27

Iterations

Iter	Nodes
4	3669
3	871
2	266
1	105
0	46

prune225.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify1.0ms

Iterations

Iter	Nodes
2	11
1	11
0	9

end0.0ms

sample6.2s

Algorithm

intervals

Results

3.5s	3670×	body	1280	valid
1.6s	2567×	body	640	valid
558.0ms	1346×	body	320	valid
279.0ms	8000×	pre	80	true
96.0ms	417×	body	160	valid