Details

sample675.0ms

Algorithm

intervals

Results

501.0ms	233×	body	10240	exit
74.0ms	84×	body	1280	valid
22.0ms	43×	body	640	valid
18.0ms	8×	body	2560	valid
12.0ms	135×	body	80	nan
10.0ms	29×	body	320	valid
9.0ms	74×	body	80	valid
5.0ms	17×	body	160	valid
4.0ms	1×	body	5120	valid

simplify23.0ms

Counts

1 → 1

Iterations

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

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 37.0b

localize13.0ms

Local error

Found 1 expressions with local error:

42.0b

(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` `insert-posit16` `add-log-exp`

Counts

1 → 8

Calls

1 calls:

1.0ms

(fmod (cosh c) (log1p a))

series26.0ms

Counts

1 → 3

Calls

1 calls:

26.0ms

(fmod (cosh c) (log1p a))

simplify1.1s

Counts

11 → 11

Iterations

Iter	Nodes
done	2030
9	1042
8	316
7	132
6	77
5	51
4	39
3	31
2	25
1	20
0	13

prune77.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 37.0b

localize33.0ms

Local error

Found 3 expressions with local error:

0.2b	(log (fmod (cosh c) (log1p a)))
0.6b	(exp (log (fmod (cosh c) (log1p a))))
42.0b	(fmod (cosh c) (log1p a))

rewrite10.0ms

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` `insert-posit16` `add-log-exp`
2×	`log-pow`
1×	`rem-log-exp` `rem-exp-log`

Counts

3 → 37

Calls

3 calls:

2.0ms	(log (fmod (cosh c) (log1p a)))
7.0ms	(exp (log (fmod (cosh c) (log1p a))))
1.0ms	(fmod (cosh c) (log1p a))

series41.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(log (fmod (cosh c) (log1p a)))
5.0ms	(exp (log (fmod (cosh c) (log1p a))))
5.0ms	(fmod (cosh c) (log1p a))

simplify943.0ms

Counts

46 → 46

Iterations

Iter	Nodes
done	2021
7	1528
6	667
5	363
4	199
3	125
2	88
1	64
0	41

prune264.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 36.8b

localize44.0ms

Local error

Found 4 expressions with local error:

0.6b	(exp (cbrt (* (* (log (fmod (cosh c) (log1p a))) (log (fmod (cosh c) (log1p a)))) (log (fmod (cosh c) (log1p a))))))
42.0b	(fmod (cosh c) (log1p a))
42.0b	(fmod (cosh c) (log1p a))
42.0b	(fmod (cosh c) (log1p a))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt` `add-log-exp`
4×	`pow1` `exp-prod` `add-cbrt-cube` `add-exp-log` `insert-posit16`
1×	`cbrt-prod` `rem-exp-log`

Counts

4 → 37

Calls

4 calls:

8.0ms	(exp (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))

series18.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(exp (cbrt (* (* (log (fmod (cosh c) (log1p a))) (log (fmod (cosh c) (log1p a)))) (log (fmod (cosh c) (log1p a))))))
4.0ms	(fmod (cosh c) (log1p a))
2.0ms	(fmod (cosh c) (log1p a))
7.0ms	(fmod (cosh c) (log1p a))

simplify991.0ms

Counts

49 → 49

Iterations

Iter	Nodes
done	2006
7	1484
6	509
5	254
4	146
3	92
2	68
1	50
0	34

prune350.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 36.8b

localize51.0ms

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))))))
42.0b	(fmod (cosh c) (log1p a))
42.0b	(fmod (cosh c) (log1p a))
42.0b	(fmod (cosh c) (log1p a))

rewrite6.0ms

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` `insert-posit16` `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 → 44

Calls

4 calls:

4.0ms	(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))

series65.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(pow E (cbrt (* (* (log (fmod (cosh c) (log1p a))) (log (fmod (cosh c) (log1p a)))) (log (fmod (cosh c) (log1p a))))))
3.0ms	(fmod (cosh c) (log1p a))
3.0ms	(fmod (cosh c) (log1p a))
4.0ms	(fmod (cosh c) (log1p a))

simplify987.0ms

Counts

56 → 56

Iterations

Iter	Nodes
done	2005
4	1399
3	520
2	192
1	96
0	48

prune348.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 36.8b

regimes523.0ms

Accuracy

0% (0.2b remaining)

Error of 34.5b against oracle of 34.3b and baseline of 34.5b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	16
2	16
1	14
0	12

end0.0ms

sample22.3s

Algorithm

intervals

Results

16.4s	7846×	body	10240	exit
2.4s	2313×	body	1280	valid
916.0ms	1559×	body	640	valid
877.0ms	5253×	body	80	nan
395.0ms	832×	body	320	valid
360.0ms	2723×	body	80	valid
312.0ms	153×	body	2560	valid
106.0ms	411×	body	160	valid
25.0ms	9×	body	5120	valid