Details

sample1.2s

Algorithm

intervals

Results

928.0ms	285×	body	10240	exit
106.0ms	90×	body	1280	valid
32.0ms	48×	body	640	valid
20.0ms	173×	body	80	nan
15.0ms	7×	body	2560	valid
13.0ms	25×	body	320	valid
12.0ms	75×	body	80	valid
4.0ms	11×	body	160	valid

simplify20.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

19.0ms

(fmod (cosh c) (log1p a))

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 36.8b

localize16.0ms

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` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `insert-posit16` `add-log-exp`

Counts

1 → 8

Calls

1 calls:

Slowest

1.0ms

(fmod (cosh c) (log1p a))

series32.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

31.0ms

(fmod (cosh c) (log1p a))

simplify35.0ms

Counts

3 → 11

Calls

3 calls:

Slowest

13.0ms	(fmod (cosh c) (log1p a))
11.0ms	(fmod (cosh c) (log1p a))
10.0ms	(fmod (cosh c) (log1p a))

prune573.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 36.8b

localize15.0ms

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)))

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

Counts

3 → 37

Calls

3 calls:

Slowest

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

series40.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

31.0ms	(log (fmod (cosh c) (log1p a)))
4.0ms	(exp (log (fmod (cosh c) (log1p a))))
4.0ms	(fmod (cosh c) (log1p a))

simplify470.0ms

Counts

21 → 46

Calls

21 calls:

Slowest

137.0ms	(exp (* (cbrt (log (fmod (cosh c) (log1p a)))) (cbrt (log (fmod (cosh c) (log1p a))))))
48.0ms	(exp (sqrt (log (fmod (cosh c) (log1p a)))))
40.0ms	(exp (log (sqrt (fmod (cosh c) (log1p a)))))
39.0ms	(log (* (cbrt (fmod (cosh c) (log1p a))) (cbrt (fmod (cosh c) (log1p a)))))
34.0ms	(log (sqrt (fmod (cosh c) (log1p a))))

prune587.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 36.6b

localize38.0ms

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)))))

rewrite8.0ms

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×	`add-cbrt-cube` `add-exp-log` `insert-posit16` `add-log-exp`
2×	`sqrt-pow1` `pow1/2` `rem-exp-log`

Counts

4 → 58

Calls

4 calls:

Slowest

4.0ms	(exp (log (sqrt (fmod (cosh c) (log1p a)))))
3.0ms	(exp (log (sqrt (fmod (cosh c) (log1p a)))))
0.0ms	(fmod (cosh c) (log1p a))
0.0ms	(fmod (cosh c) (log1p a))

series29.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

12.0ms	(exp (log (sqrt (fmod (cosh c) (log1p a)))))
12.0ms	(exp (log (sqrt (fmod (cosh c) (log1p a)))))
3.0ms	(fmod (cosh c) (log1p a))
2.0ms	(fmod (cosh c) (log1p a))

simplify1.0s

Counts

38 → 70

Calls

38 calls:

Slowest

137.0ms	(exp (* (cbrt (log (sqrt (fmod (cosh c) (log1p a))))) (cbrt (log (sqrt (fmod (cosh c) (log1p a)))))))
126.0ms	(exp (* (cbrt (log (sqrt (fmod (cosh c) (log1p a))))) (cbrt (log (sqrt (fmod (cosh c) (log1p a)))))))
65.0ms	(exp (log (* (cbrt (sqrt (fmod (cosh c) (log1p a)))) (cbrt (sqrt (fmod (cosh c) (log1p a)))))))
61.0ms	(exp (log (sqrt (* (cbrt (fmod (cosh c) (log1p a))) (cbrt (fmod (cosh c) (log1p a)))))))
58.0ms	(exp (log (sqrt (sqrt (fmod (cosh c) (log1p a))))))

prune1.1s

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 36.5b

localize20.0ms

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

Counts

3 → 44

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))

series64.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

44.0ms	(pow E (log (fmod (cosh c) (log1p a))))
18.0ms	(log (fmod (cosh c) (log1p a)))
3.0ms	(fmod (cosh c) (log1p a))

simplify746.0ms

Counts

25 → 53

Calls

25 calls:

Slowest

125.0ms	(pow E (log (sqrt (fmod (cosh c) (log1p a)))))
81.0ms	(pow E (log (cbrt (fmod (cosh c) (log1p a)))))
79.0ms	(pow (sqrt E) (log (fmod (cosh c) (log1p a))))
60.0ms	(log (* (cbrt (fmod (cosh c) (log1p a))) (cbrt (fmod (cosh c) (log1p a)))))
53.0ms	(pow (* (cbrt E) (cbrt E)) (log (fmod (cosh c) (log1p a))))

prune645.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 36.5b

regimes808.0ms

Accuracy

0% (0.2b remaining)

Error of 34.1b against oracle of 34.0b and baseline of 34.1b

bsearch4.0ms

end0.0ms

sample18.1s

Algorithm

intervals

Results

13.4s	7967×	body	10240	exit
1.9s	2362×	body	1280	valid
832.0ms	1580×	body	640	valid
489.0ms	735×	body	320	valid
470.0ms	5287×	body	80	nan
252.0ms	2782×	body	80	valid
248.0ms	163×	body	2560	valid
74.0ms	374×	body	160	valid
7.0ms	4×	body	5120	valid