Details

sample1.2s

Algorithm

intervals

Results

693.0ms	249×	body	10240	exit
246.0ms	111×	body	2560	valid
80.0ms	69×	body	1280	valid
80.0ms	518×	body	80	nan
37.0ms	17×	body	320	valid
36.0ms	49×	body	640	valid
3.0ms	7×	body	160	valid
0.0ms	3×	body	80	valid

simplify1.4s

Counts: 1 → 1

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 61.1b

localize33.0ms

Local error

Found 2 expressions with local error:

60.3b	(fmod (cosh a) (* a a))
2.0b	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

2×	`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`
1×	`acos-asin`

Counts

2 → 21

Calls

2 calls:

Slowest

1.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
1.0ms	(fmod (cosh a) (* a a))

series11.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

9.0ms	(fmod (cosh a) (* a a))
2.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))

simplify1.3s

Counts: 27 → 27

prune372.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 59.8b

localize33.0ms

Local error

Found 3 expressions with local error:

60.3b	(fmod (cosh a) (* a a))
11.4b	(log (exp (fmod (cosh a) (* a a))))
2.0b	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `log-pow`
3×	`expm1-log1p-u` `log-prod` `exp-prod` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`acos-asin` `rem-log-exp`

Counts

3 → 39

Calls

3 calls:

Slowest

2.0ms	(log (exp (fmod (cosh a) (* a a))))
1.0ms	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
0.0ms	(fmod (cosh a) (* a a))

series6.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

2.0ms	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
2.0ms	(fmod (cosh a) (* a a))
2.0ms	(log (exp (fmod (cosh a) (* a a))))

simplify2.6s

Counts: 48 → 48

prune493.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 59.8b

localize35.0ms

Local error

Found 4 expressions with local error:

60.3b	(fmod (cosh a) (* a a))
60.3b	(fmod (cosh a) (* a a))
60.3b	(fmod (cosh a) (* a a))
11.4b	(log (exp (fmod (cosh a) (* a a))))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
5×	`pow1`
4×	`expm1-log1p-u` `add-cbrt-cube` `add-exp-log` `log-pow` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`log-prod` `exp-prod`
1×	`rem-log-exp`

Counts

4 → 48

Calls

4 calls:

Slowest

4.0ms	(log (exp (fmod (cosh a) (* a a))))
0.0ms	(fmod (cosh a) (* a a))
0.0ms	(fmod (cosh a) (* a a))
0.0ms	(fmod (cosh a) (* a a))

series12.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

3.0ms	(fmod (cosh a) (* a a))
3.0ms	(fmod (cosh a) (* a a))
3.0ms	(fmod (cosh a) (* a a))
3.0ms	(log (exp (fmod (cosh a) (* a a))))

simplify4.6s

Counts: 60 → 60

prune853.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 59.8b

localize66.0ms

Local error

Found 4 expressions with local error:

60.3b	(fmod (cosh a) (* a a))
60.3b	(fmod (cosh a) (* a a))
60.3b	(fmod (cosh a) (* a a))
60.3b	(fmod (cosh a) (* a a))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

4×	`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

4 → 40

Calls

4 calls:

Slowest

0.0ms	(fmod (cosh a) (* a a))
0.0ms	(fmod (cosh a) (* a a))
0.0ms	(fmod (cosh a) (* a a))
0.0ms	(fmod (cosh a) (* a a))

series8.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

2.0ms	(fmod (cosh a) (* a a))
2.0ms	(fmod (cosh a) (* a a))
2.0ms	(fmod (cosh a) (* a a))
2.0ms	(fmod (cosh a) (* a a))

simplify6.5s

Counts: 52 → 52

prune1.1s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 59.8b

regimes308.0ms

Accuracy

0% (0.4b remaining)

Error of 59.5b against oracle of 59.1b and baseline of 59.5b

bsearch2.0ms

end0.0ms

sample31.6s

Algorithm

intervals

Results

18.4s	7919×	body	10240	exit
6.4s	3199×	body	2560	valid
2.8s	2477×	body	1280	valid
2.0s	16015×	body	80	nan
1.1s	1231×	body	640	valid
317.0ms	661×	body	320	valid
118.0ms	319×	body	160	valid
19.0ms	8×	body	5120	nan
17.0ms	113×	body	80	valid
9.0ms	7×	body	2560	nan
5.0ms	6×	body	1280	nan
2.0ms	6×	body	320	nan
2.0ms	7×	body	160	nan
1.0ms	2×	body	640	nan