Details

sample782.0ms

Algorithm

intervals

Results

545.0ms	272×	body	10240	exit
75.0ms	83×	body	1280	valid
60.0ms	175×	body	80	nan
25.0ms	56×	body	640	valid
9.0ms	31×	body	320	valid
6.0ms	72×	body	80	valid
6.0ms	2×	body	5120	valid
4.0ms	2×	body	2560	valid
2.0ms	10×	body	160	valid

simplify20.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	16
3	16
2	14
1	11
0	5

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 37.9b

localize12.0ms

Local error

Found 1 expressions with local error:

42.9b

(fmod (cosh c) (log1p a))

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

1×	`add-sqr-sqrt` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `add-log-exp`

Counts

1 → 7

Calls

1 calls:

1.0ms

(fmod (cosh c) (log1p a))

series46.0ms

Counts

1 → 3

Calls

1 calls:

45.0ms

(fmod (cosh c) (log1p a))

simplify2.0s

Counts

10 → 10

Iterations

Iter	Nodes
done	5001
8	1006
7	334
6	148
5	72
4	38
3	30
2	24
1	19
0	12

prune66.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 37.8b

localize27.0ms

Local error

Found 3 expressions with local error:

0.6b	(log (fmod (cosh c) (log1p a)))
0.6b	(exp (log (fmod (cosh c) (log1p a))))
42.9b	(fmod (cosh c) (log1p a))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `log-prod` `*-un-lft-identity` `add-cube-cbrt`
5×	`pow1`
4×	`exp-prod` `add-exp-log`
3×	`add-cbrt-cube` `exp-sum` `add-log-exp`
2×	`log-pow`
1×	`rem-log-exp` `rem-exp-log`

Counts

3 → 34

Calls

3 calls:

1.0ms	(log (fmod (cosh c) (log1p a)))
4.0ms	(exp (log (fmod (cosh c) (log1p a))))
0.0ms	(fmod (cosh c) (log1p a))

series34.0ms

Counts

3 → 9

Calls

3 calls:

27.0ms	(log (fmod (cosh c) (log1p a)))
3.0ms	(exp (log (fmod (cosh c) (log1p a))))
3.0ms	(fmod (cosh c) (log1p a))

simplify3.3s

Counts

43 → 43

Iterations

Iter	Nodes
done	5002
7	4269
6	959
5	380
4	209
3	145
2	93
1	61
0	38

prune304.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 37.8b

localize82.0ms

Local error

Found 4 expressions with local error:

0.7b	(pow (exp (* (cbrt (log (fmod (cosh c) (log1p a)))) (cbrt (log (fmod (cosh c) (log1p a)))))) (cbrt (log (fmod (cosh c) (log1p a)))))
42.9b	(fmod (cosh c) (log1p a))
42.9b	(fmod (cosh c) (log1p a))
42.9b	(fmod (cosh c) (log1p a))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt` `pow-unpow` `*-un-lft-identity` `add-cube-cbrt`
6×	`pow1`
5×	`add-log-exp`
4×	`cbrt-prod` `add-cbrt-cube` `add-exp-log`
3×	`unpow-prod-down` `pow-pow`
1×	`pow-to-exp` `exp-prod` `exp-to-pow` `pow-exp` `log-pow` `sqr-pow`

Counts

4 → 44

Calls

4 calls:

13.0ms	(pow (exp (* (cbrt (log (fmod (cosh c) (log1p a)))) (cbrt (log (fmod (cosh c) (log1p a)))))) (cbrt (log (fmod (cosh c) (log1p a)))))
0.0ms	(fmod (cosh c) (log1p a))
0.0ms	(fmod (cosh c) (log1p a))
0.0ms	(fmod (cosh c) (log1p a))

series231.0ms

Counts

4 → 12

Calls

4 calls:

214.0ms	(pow (exp (* (cbrt (log (fmod (cosh c) (log1p a)))) (cbrt (log (fmod (cosh c) (log1p a)))))) (cbrt (log (fmod (cosh c) (log1p a)))))
5.0ms	(fmod (cosh c) (log1p a))
6.0ms	(fmod (cosh c) (log1p a))
5.0ms	(fmod (cosh c) (log1p a))

simplify4.5s

Counts

56 → 56

Iterations

Iter	Nodes
done	5001
3	3266
2	458
1	126
0	51

prune456.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 37.8b

localize214.0ms

Local error

Found 4 expressions with local error:

42.9b	(fmod (cosh c) (log1p a))
42.9b	(fmod (cosh c) (log1p a))
42.9b	(fmod (cosh c) (log1p a))
42.9b	(fmod (cosh c) (log1p a))

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `add-log-exp`

Counts

4 → 28

Calls

4 calls:

0.0ms	(fmod (cosh c) (log1p a))
0.0ms	(fmod (cosh c) (log1p a))
0.0ms	(fmod (cosh c) (log1p a))
0.0ms	(fmod (cosh c) (log1p a))

series22.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(fmod (cosh c) (log1p a))
5.0ms	(fmod (cosh c) (log1p a))
6.0ms	(fmod (cosh c) (log1p a))
5.0ms	(fmod (cosh c) (log1p a))

simplify2.0s

Counts

40 → 40

Iterations

Iter	Nodes
done	5001
8	1006
7	334
6	148
5	72
4	38
3	30
2	24
1	19
0	12

prune325.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 37.8b

regimes975.0ms

Accuracy

0% (0.0b remaining)

Error of 33.9b against oracle of 33.9b and baseline of 33.9b

bsearch0.0ms

simplify6.0ms

Iterations

Iter	Nodes
done	15
1	15
0	14

end0.0ms

sample19.3s

Algorithm

intervals

Results

13.8s	7959×	body	10240	exit
2.7s	2319×	body	1280	valid
705.0ms	1559×	body	640	valid
323.0ms	5389×	body	80	nan
250.0ms	128×	body	2560	valid
220.0ms	772×	body	320	valid
207.0ms	2807×	body	80	valid
65.0ms	403×	body	160	valid
31.0ms	12×	body	5120	valid