Details

sample253.0ms

Algorithm

intervals

Results

109.0ms	112×	body	1280	valid
91.0ms	91×	body	640	valid
11.0ms	17×	body	160	valid
10.0ms	36×	body	320	valid
5.0ms	256×	pre	80	true

simplify19.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
12	4134
11	3748
10	3274
9	2173
8	1442
7	969
6	690
5	424
4	237
3	131
2	48
1	19
0	9

prune37.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 62.0b

localize65.0ms

Local error

Found 3 expressions with local error:

0.2b	(fma n (log n) 1.0)
0.2b	(* (log (+ n 1.0)) (+ n 1.0))
5.4b	(- (* (log (+ n 1.0)) (+ n 1.0)) (fma n (log n) 1.0))

rewrite118.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt` `*-un-lft-identity`
6×	`pow1` `add-cube-cbrt`
5×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
4×	`associate-r` `associate-l`
3×	`expm1-log1p-u` `prod-diff` `log1p-expm1-u`
2×	`distribute-rgt-in` `distribute-lft-in` `associate-*r/` `associate--l+` `fma-udef`
1×	`sub-neg` `flip3--` `flip3-+` `fma-neg` `diff-log` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `flip--` `cbrt-unprod` `flip-+` `distribute-lft-out` `associate--r+` `unswap-sqr`

Counts

3 → 57

Calls

3 calls:

1.0ms	(fma n (log n) 1.0)
50.0ms	(* (log (+ n 1.0)) (+ n 1.0))
59.0ms	(- (* (log (+ n 1.0)) (+ n 1.0)) (fma n (log n) 1.0))

series1.1s

Counts

3 → 9

Calls

3 calls:

590.0ms	(fma n (log n) 1.0)
124.0ms	(* (log (+ n 1.0)) (+ n 1.0))
360.0ms	(- (* (log (+ n 1.0)) (+ n 1.0)) (fma n (log n) 1.0))

simplify4.4s

Counts

66 → 66

Iterations

Iter	Nodes
done	5000
2	1346
1	417
0	144

prune603.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize38.0ms

Local error

Found 1 expressions with local error:

1.2b	(/ 0.16666666666666669 (* n n))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 23

Calls

1 calls:

42.0ms

(/ 0.16666666666666669 (* n n))

series150.0ms

Counts

1 → 3

Calls

1 calls:

150.0ms

(/ 0.16666666666666669 (* n n))

simplify5.3s

Counts

26 → 26

Iterations

Iter	Nodes
done	5000
3	1290
2	309
1	102
0	45

prune410.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify5.0ms

Iterations

Iter	Nodes
done	13
1	13
0	11

end1.0ms

sample10.9s

Algorithm

intervals

Results

5.8s	3582×	body	1280	valid
2.3s	2576×	body	640	valid
1.7s	446×	body	160	valid
677.0ms	1396×	body	320	valid
224.0ms	8000×	pre	80	true