Details

sample980.0ms

Algorithm

intervals

Results

692.0ms	285×	body	10240	exit
133.0ms	90×	body	1280	valid
55.0ms	173×	body	80	nan
28.0ms	48×	body	640	valid
15.0ms	7×	body	2560	valid
14.0ms	25×	body	320	valid
10.0ms	75×	body	80	valid
3.0ms	11×	body	160	valid

simplify49.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

48.0ms

(fmod (cosh c) (log1p a))

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 36.8b

localize21.0ms

Local error

Found 1 expressions with local error:

41.9b

(fmod (cosh c) (log1p a))

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

1×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

Slowest

1.0ms

(fmod (cosh c) (log1p a))

series10.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

10.0ms

(fmod (cosh c) (log1p a))

simplify26.0ms

Counts

3 → 13

Calls

3 calls:

Slowest

11.0ms	(fmod (cosh c) (log1p a))
8.0ms	(fmod (cosh c) (log1p a))
6.0ms	(fmod (cosh c) (log1p a))

prune645.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 36.8b

localize28.0ms

Local error

Found 3 expressions with local error:

41.9b	(fmod (cosh c) (log1p a))
0.6b	(exp (log (fmod (cosh c) (log1p a))))
0.2b	(log (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×	`expm1-log1p-u` `add-cbrt-cube` `exp-sum` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`log-pow`
1×	`rem-log-exp` `rem-exp-log`

Counts

3 → 43

Calls

3 calls:

Slowest

6.0ms	(exp (log (fmod (cosh c) (log1p a))))
2.0ms	(log (fmod (cosh c) (log1p a)))
1.0ms	(fmod (cosh c) (log1p a))

series45.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

35.0ms	(log (fmod (cosh c) (log1p a)))
5.0ms	(exp (log (fmod (cosh c) (log1p a))))
5.0ms	(fmod (cosh c) (log1p a))

simplify467.0ms

Counts

21 → 52

Calls

21 calls:

Slowest

143.0ms	(exp (* (cbrt (log (fmod (cosh c) (log1p a)))) (cbrt (log (fmod (cosh c) (log1p a))))))
59.0ms	(exp (sqrt (log (fmod (cosh c) (log1p a)))))
52.0ms	(exp (log (* (cbrt (fmod (cosh c) (log1p a))) (cbrt (fmod (cosh c) (log1p a))))))
39.0ms	(exp (log (sqrt (fmod (cosh c) (log1p a)))))
30.0ms	(log (sqrt (fmod (cosh c) (log1p a))))

prune713.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 36.6b

localize49.0ms

Local error

Found 4 expressions with local error:

41.9b	(fmod (cosh c) (log1p a))
41.9b	(fmod (cosh c) (log1p a))
0.4b	(exp (log (sqrt (fmod (cosh c) (log1p a)))))
0.4b	(exp (log (sqrt (fmod (cosh c) (log1p a)))))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

12×	`log-prod` `exp-prod` `exp-sum`
10×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
8×	`pow1`
6×	`log-pow` `sqrt-prod`
4×	`expm1-log1p-u` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`sqrt-pow1` `pow1/2` `rem-exp-log`

Counts

4 → 66

Calls

4 calls:

Slowest

8.0ms	(exp (log (sqrt (fmod (cosh c) (log1p a)))))
7.0ms	(exp (log (sqrt (fmod (cosh c) (log1p a)))))
1.0ms	(fmod (cosh c) (log1p a))
0.0ms	(fmod (cosh c) (log1p a))

series44.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

19.0ms	(exp (log (sqrt (fmod (cosh c) (log1p a)))))
16.0ms	(exp (log (sqrt (fmod (cosh c) (log1p a)))))
4.0ms	(fmod (cosh c) (log1p a))
4.0ms	(fmod (cosh c) (log1p a))

simplify1.0s

Counts

38 → 78

Calls

38 calls:

Slowest

166.0ms	(exp (* (cbrt (log (sqrt (fmod (cosh c) (log1p a))))) (cbrt (log (sqrt (fmod (cosh c) (log1p a)))))))
159.0ms	(exp (* (cbrt (log (sqrt (fmod (cosh c) (log1p a))))) (cbrt (log (sqrt (fmod (cosh c) (log1p a)))))))
63.0ms	(exp (log (sqrt (* (cbrt (fmod (cosh c) (log1p a))) (cbrt (fmod (cosh c) (log1p a)))))))
58.0ms	(exp (log (* (cbrt (sqrt (fmod (cosh c) (log1p a)))) (cbrt (sqrt (fmod (cosh c) (log1p a)))))))
57.0ms	(exp (log (sqrt (sqrt (fmod (cosh c) (log1p a))))))

prune1.2s

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 36.5b

localize29.0ms

Local error

Found 3 expressions with local error:

41.9b	(fmod (cosh c) (log1p a))
0.7b	(pow E (log (fmod (cosh c) (log1p a))))
0.2b	(log (fmod (cosh c) (log1p a)))

rewrite5.0ms

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×	`expm1-log1p-u` `unpow-prod-up` `unpow-prod-down` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`pow-exp` `log-pow`
1×	`pow-to-exp` `e-exp-1` `pow-pow` `rem-log-exp` `sqr-pow`

Counts

3 → 50

Calls

3 calls:

Slowest

3.0ms	(pow E (log (fmod (cosh c) (log1p a))))
1.0ms	(log (fmod (cosh c) (log1p a)))
0.0ms	(fmod (cosh c) (log1p a))

series101.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

71.0ms	(pow E (log (fmod (cosh c) (log1p a))))
28.0ms	(log (fmod (cosh c) (log1p a)))
3.0ms	(fmod (cosh c) (log1p a))

simplify790.0ms

Counts

25 → 59

Calls

25 calls:

Slowest

119.0ms	(pow E (log (sqrt (fmod (cosh c) (log1p a)))))
98.0ms	(pow E (log (cbrt (fmod (cosh c) (log1p a)))))
70.0ms	(pow (sqrt E) (log (fmod (cosh c) (log1p a))))
56.0ms	(log (* (cbrt (fmod (cosh c) (log1p a))) (cbrt (fmod (cosh c) (log1p a)))))
54.0ms	(pow E (log (fmod (cosh c) (log1p a))))

prune748.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 36.5b

regimes888.0ms

Accuracy

0% (0.2b remaining)

Error of 34.1b against oracle of 33.9b and baseline of 34.1b

bsearch4.0ms

end0.0ms

sample18.5s

Algorithm

intervals

Results

13.7s	7967×	body	10240	exit
2.4s	2362×	body	1280	valid
711.0ms	1580×	body	640	valid
447.0ms	5287×	body	80	nan
264.0ms	2782×	body	80	valid
249.0ms	163×	body	2560	valid
210.0ms	735×	body	320	valid
80.0ms	374×	body	160	valid
8.0ms	4×	body	5120	valid