Details

sample2.1s

Algorithm

intervals

Results

978.0ms	271×	body	10240	exit
431.0ms	115×	body	2560	valid
205.0ms	538×	body	80	nan
103.0ms	64×	body	1280	valid
45.0ms	44×	body	640	valid
16.0ms	25×	body	320	valid
3.0ms	2×	body	1280	nan
3.0ms	5×	body	160	valid
1.0ms	1×	body	640	nan
1.0ms	3×	body	80	valid

simplify1.1s

Counts: 1 → 1

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 61.1b

localize19.0ms

Local error

Found 2 expressions with local error:

60.0b	(fmod (cosh a) (* a a))
1.2b	(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)))

simplify1.5s

Counts: 27 → 27

prune296.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 59.6b

localize50.0ms

Local error

Found 3 expressions with local error:

60.0b	(fmod (cosh a) (* a a))
12.2b	(log (exp (fmod (cosh a) (* a a))))
1.2b	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))

rewrite5.0ms

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

3.0ms	(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))

series7.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

3.0ms	(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))))

simplify2.7s

Counts: 48 → 48

prune432.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 59.6b

localize44.0ms

Local error

Found 4 expressions with local error:

60.0b	(fmod (cosh a) (* a a))
60.0b	(fmod (cosh a) (* a a))
60.0b	(fmod (cosh a) (* a a))
12.2b	(log (exp (fmod (cosh a) (* a a))))

rewrite4.0ms

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

2.0ms	(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))

series9.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

3.0ms	(log (exp (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))

simplify4.9s

Counts: 60 → 60

prune930.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 59.6b

localize89.0ms

Local error

Found 4 expressions with local error:

60.0b	(fmod (cosh a) (* a a))
60.0b	(fmod (cosh a) (* a a))
60.0b	(fmod (cosh a) (* a a))
60.0b	(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

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

simplify6.5s

Counts: 52 → 52

prune1.0s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 59.6b

regimes244.0ms

Accuracy

0% (0.4b remaining)

Error of 59.6b against oracle of 59.2b and baseline of 59.6b

bsearch7.0ms

end0.0ms

sample32.9s

Algorithm

intervals

Results

18.8s	7833×	body	10240	exit
7.4s	3254×	body	2560	valid
3.0s	2441×	body	1280	valid
1.8s	15972×	body	80	nan
875.0ms	1232×	body	640	valid
309.0ms	642×	body	320	valid
124.0ms	317×	body	160	valid
19.0ms	114×	body	80	valid
13.0ms	5×	body	5120	nan
7.0ms	5×	body	2560	nan
4.0ms	7×	body	640	nan
3.0ms	4×	body	1280	nan
3.0ms	7×	body	320	nan
2.0ms	7×	body	160	nan