Details

sample633.0ms

Algorithm

intervals

Results

440.0ms	317×	body	10240	exit
50.0ms	72×	body	80	valid
47.0ms	80×	body	1280	valid
18.0ms	54×	body	640	valid
15.0ms	8×	body	2560	valid
10.0ms	206×	body	80	nan
5.0ms	23×	body	320	valid
3.0ms	19×	body	160	valid

simplify44.0ms

Counts

1 → 1

Iterations

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 37.5b

localize15.0ms

Local error

Found 1 expressions with local error:

42.3b

(fmod (cosh c) (log1p a))

rewrite4.0ms

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))

series17.0ms

Counts

1 → 3

Calls

1 calls:

16.0ms

(fmod (cosh c) (log1p a))

simplify1.9s

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

prune74.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 37.5b

localize18.0ms

Local error

Found 3 expressions with local error:

0.4b	(log (fmod (cosh c) (log1p a)))
0.7b	(exp (log (fmod (cosh c) (log1p a))))
42.3b	(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))

series45.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(log (fmod (cosh c) (log1p a)))
3.0ms	(exp (log (fmod (cosh c) (log1p a))))
3.0ms	(fmod (cosh c) (log1p a))

simplify3.4s

Counts

43 → 43

Iterations

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

prune374.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 37.5b

localize34.0ms

Local error

Found 3 expressions with local error:

0.4b	(log (fmod (cosh c) (log1p a)))
0.8b	(pow E (log (fmod (cosh c) (log1p a))))
42.3b	(fmod (cosh c) (log1p a))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 41

Calls

3 calls:

2.0ms	(log (fmod (cosh c) (log1p a)))
6.0ms	(pow E (log (fmod (cosh c) (log1p a))))
0.0ms	(fmod (cosh c) (log1p a))

series131.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(log (fmod (cosh c) (log1p a)))
87.0ms	(pow E (log (fmod (cosh c) (log1p a))))
5.0ms	(fmod (cosh c) (log1p a))

simplify1.1s

Counts

50 → 50

Iterations

Iter	Nodes
done	5001
2	542
1	135
0	53

prune411.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 37.5b

localize58.0ms

Local error

Found 4 expressions with local error:

0.8b	(pow E (cbrt (* (* (log (fmod (cosh c) (log1p a))) (log (fmod (cosh c) (log1p a)))) (log (fmod (cosh c) (log1p a))))))
42.3b	(fmod (cosh c) (log1p a))
42.3b	(fmod (cosh c) (log1p a))
42.3b	(fmod (cosh c) (log1p a))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 40

Calls

4 calls:

5.0ms	(pow E (cbrt (* (* (log (fmod (cosh c) (log1p a))) (log (fmod (cosh c) (log1p a)))) (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))

series106.0ms

Counts

4 → 12

Calls

4 calls:

90.0ms	(pow E (cbrt (* (* (log (fmod (cosh c) (log1p a))) (log (fmod (cosh c) (log1p a)))) (log (fmod (cosh c) (log1p a))))))
5.0ms	(fmod (cosh c) (log1p a))
5.0ms	(fmod (cosh c) (log1p a))
5.0ms	(fmod (cosh c) (log1p a))

simplify2.4s

Counts

52 → 52

Iterations

Iter	Nodes
done	5000
3	2608
2	359
1	109
0	46

prune327.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 37.5b

regimes776.0ms

Accuracy

0% (0.0b remaining)

Error of 34.0b against oracle of 34.0b and baseline of 34.0b

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	16
2	16
1	14
0	12

end0.0ms

sample18.8s

Algorithm

intervals

Results

13.8s	7528×	body	10240	exit
1.8s	2304×	body	1280	valid
718.0ms	2796×	body	80	valid
652.0ms	1570×	body	640	valid
385.0ms	5122×	body	80	nan
244.0ms	150×	body	2560	valid
181.0ms	790×	body	320	valid
65.0ms	381×	body	160	valid
21.0ms	9×	body	5120	valid