Details

sample173.0ms

Algorithm

intervals

Results

86.0ms	111×	body	1280	valid
45.0ms	89×	body	640	valid
18.0ms	50×	body	320	valid
8.0ms	256×	pre	80	true
1.0ms	6×	body	160	valid

simplify7.9s

Counts

1 → 1

Iterations

Iter	Nodes
10	2683
9	1863
8	1164
7	654
6	424
5	280
4	144
3	81
2	49
1	20
0	9

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 44.3b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b	(log1p n)
0.0b	(log1p n)
0.0b	(fma n (- (log1p n) (log n)) (log1p n))
3.6b	(- (log1p n) (log n))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

16×	`*-un-lft-identity`
15×	`add-sqr-sqrt`
13×	`add-cube-cbrt`
12×	`prod-diff`
8×	`pow1`
6×	`expm1-log1p-u`
5×	`add-log-exp`
4×	`add-cbrt-cube` `add-exp-log` `log-pow` `log1p-expm1-u`
3×	`log1p-udef` `log-prod` `fma-neg` `associate--r+`
2×	`diff-log` `log1p-expm1` `distribute-lft-out--`
1×	`sub-neg` `flip3--` `fma-udef` `flip--` `difference-of-squares`

Counts

4 → 68

Calls

4 calls:

0.0ms	(log1p n)
0.0ms	(log1p n)
0.0ms	(fma n (- (log1p n) (log n)) (log1p n))
5.0ms	(- (log1p n) (log n))

series273.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(log1p n)
22.0ms	(log1p n)
134.0ms	(fma n (- (log1p n) (log n)) (log1p n))
81.0ms	(- (log1p n) (log n))

simplify1.1s

Counts

80 → 80

Iterations

Iter	Nodes
3	2243
2	700
1	284
0	124

prune615.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (+ (/ 1/2 n) 1) (- (/ 1/6 (* n n)) (log n)))
0.0b	(+ (- (+ (/ 1/2 n) 1) (- (/ 1/6 (* n n)) (log n))) -1)
0.7b	(/ 1/6 (* n n))

rewrite700.0ms

Algorithm

rewrite-expression-head

Rules

157×	`*-un-lft-identity`
84×	`prod-diff`
81×	`add-sqr-sqrt`
46×	`distribute-lft-out--`
44×	`add-cube-cbrt`
32×	`associate-+l+`
31×	`distribute-lft-out`
30×	`associate--r+`
29×	`add-log-exp`
24×	`pow1`
23×	`times-frac`
21×	`log-pow`
18×	`difference-of-squares`
12×	`diff-log`
10×	`fma-def`
9×	`sum-log`
8×	`add-cbrt-cube` `add-exp-log`
5×	`div-inv`
4×	`fma-neg` `frac-sub`
3×	`expm1-log1p-u` `sub-neg` `flip3-+` `flip3--` `flip-+` `log1p-expm1-u` `flip--` `associate-/l*`
2×	`cbrt-undiv` `div-exp` `associate--l+` `associate--r-`
1×	`+-commutative` `difference-of-sqr--1` `clear-num` `associate-/r*` `frac-2neg` `prod-exp` `associate-+l-` `cbrt-unprod`

Counts

3 → 183

Calls

3 calls:

122.0ms	(- (+ (/ 1/2 n) 1) (- (/ 1/6 (* n n)) (log n)))
565.0ms	(+ (- (+ (/ 1/2 n) 1) (- (/ 1/6 (* n n)) (log n))) -1)
10.0ms	(/ 1/6 (* n n))

series116.0ms

Counts

3 → 9

Calls

3 calls:

48.0ms	(- (+ (/ 1/2 n) 1) (- (/ 1/6 (* n n)) (log n)))
32.0ms	(+ (- (+ (/ 1/2 n) 1) (- (/ 1/6 (* n n)) (log n))) -1)
35.0ms	(/ 1/6 (* n n))

simplify1.4s

Counts

192 → 192

Iterations

Iter	Nodes
2	2677
1	836
0	273

prune1.8s

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ (/ 1/6 n) n)
0.3b	(/ 1/6 n)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
52×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
16×	`associate-/l*`
9×	`add-cbrt-cube` `add-exp-log`
6×	`associate-/r*` `div-inv`
4×	`cbrt-undiv` `div-exp`
2×	`expm1-log1p-u` `pow1` `clear-num` `frac-2neg` `log1p-expm1-u` `add-log-exp`
1×	`associate-/l/`

Counts

2 → 101

Calls

2 calls:

13.0ms	(/ (/ 1/6 n) n)
5.0ms	(/ 1/6 n)

series81.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(/ (/ 1/6 n) n)
35.0ms	(/ 1/6 n)

simplify795.0ms

Counts

107 → 107

Iterations

Iter	Nodes
3	2266
2	749
1	310
0	149

prune811.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify2.0ms

Iterations

Iter	Nodes
2	10
1	10
0	9

end0.0ms

sample5.6s

Algorithm

intervals

Results

3.1s	3584×	body	1280	valid
1.5s	2620×	body	640	valid
490.0ms	1352×	body	320	valid
248.0ms	8000×	pre	80	true
126.0ms	444×	body	160	valid