Details

sample1.5s

Algorithm

intervals

Results

853.0ms	255×	body	10240	exit
278.0ms	102×	body	2560	valid
126.0ms	87×	body	1280	valid
63.0ms	457×	body	80	nan
34.0ms	38×	body	640	valid
11.0ms	17×	body	320	valid
3.0ms	9×	body	160	valid
1.0ms	3×	body	80	valid
0.0ms	1×	body	160	nan

simplify1.1s

Counts: 1 → 1

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 60.6b

localize37.0ms

Local error

Found 2 expressions with local error:

59.6b	(fmod (cosh a) (* a a))
1.8b	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))

rewrite7.0ms

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

3.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
2.0ms	(fmod (cosh a) (* a a))

series19.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

15.0ms	(fmod (cosh a) (* a a))
5.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))

simplify1.3s

Counts: 28 → 27

prune385.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 59.3b

localize27.0ms

Local error

Found 3 expressions with local error:

59.6b	(fmod (cosh a) (* a a))
10.7b	(log (exp (fmod (cosh a) (* a a))))
1.8b	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))

rewrite8.0ms

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

5.0ms	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
2.0ms	(log (exp (fmod (cosh a) (* a 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))))

simplify990.0ms

Counts: 51 → 48

prune595.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 59.3b

localize44.0ms

Local error

Found 4 expressions with local error:

59.6b	(fmod (cosh a) (* a a))
59.6b	(fmod (cosh a) (* a a))
59.6b	(fmod (cosh a) (* a a))
10.7b	(log (exp (fmod (cosh a) (* a a))))

rewrite7.0ms

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))))
1.0ms	(fmod (cosh a) (* a a))
0.0ms	(fmod (cosh a) (* a a))
0.0ms	(fmod (cosh a) (* a a))

series10.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

3.0ms	(fmod (cosh a) (* a a))
2.0ms	(fmod (cosh a) (* a a))
2.0ms	(fmod (cosh a) (* a a))
2.0ms	(log (exp (fmod (cosh a) (* a a))))

simplify714.0ms

Counts: 62 → 60

prune1.0s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 59.3b

localize78.0ms

Local error

Found 4 expressions with local error:

59.6b	(fmod (cosh a) (* a a))
59.6b	(fmod (cosh a) (* a a))
59.6b	(fmod (cosh a) (* a a))
59.6b	(fmod (cosh a) (* a a))

rewrite3.0ms

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

1.0ms	(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))

series14.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

4.0ms	(fmod (cosh a) (* a a))
4.0ms	(fmod (cosh a) (* a a))
3.0ms	(fmod (cosh a) (* a a))
3.0ms	(fmod (cosh a) (* a a))

simplify972.0ms

Counts: 52 → 52

prune917.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 59.3b

regimes297.0ms

Accuracy

0% (0.4b remaining)

Error of 59.7b against oracle of 59.3b and baseline of 59.7b

bsearch3.0ms

end0.0ms

sample32.6s

Algorithm

intervals

Results

19.4s	7947×	body	10240	exit
6.5s	3191×	body	2560	valid
3.1s	2538×	body	1280	valid
1.8s	15858×	body	80	nan
813.0ms	1269×	body	640	valid
309.0ms	606×	body	320	valid
95.0ms	295×	body	160	valid
25.0ms	10×	body	5120	nan
16.0ms	101×	body	80	valid
13.0ms	11×	body	2560	nan
8.0ms	10×	body	1280	nan
3.0ms	6×	body	640	nan
2.0ms	5×	body	320	nan
2.0ms	7×	body	160	nan