Details

sample1.3s

Algorithm

intervals

Results

683.0ms	237×	body	10240	exit
287.0ms	107×	body	2560	valid
154.0ms	73×	body	1280	valid
54.0ms	413×	body	80	nan
34.0ms	42×	body	640	valid
9.0ms	15×	body	320	valid
7.0ms	14×	body	160	valid
1.0ms	5×	body	80	valid

simplify1.1s

Counts: 1 → 1

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.7b

localize43.0ms

Local error

Found 4 expressions with local error:

59.0b	(fmod (cosh a) (* a a))
1.3b	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
0.0b	(pow (fmod (cosh a) (* a a)) (log1p a))
0.0b	(log1p a)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 53

Calls

4 calls:

Slowest

5.0ms	(pow (fmod (cosh a) (* a a)) (log1p a))
3.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
2.0ms	(fmod (cosh a) (* a a))
1.0ms	(log1p a)

series131.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

61.0ms	(pow (fmod (cosh a) (* a a)) (log1p a))
38.0ms	(log1p a)
26.0ms	(fmod (cosh a) (* a a))
5.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))

simplify1.2s

Counts: 65 → 65

prune758.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 57.8b

localize29.0ms

Local error

Found 4 expressions with local error:

59.0b	(fmod (cosh a) (* a a))
10.5b	(log (exp (fmod (cosh a) (* a a))))
1.3b	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
0.0b	(pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 63

Calls

4 calls:

Slowest

8.0ms	(pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))
5.0ms	(log (exp (fmod (cosh a) (* a a))))
3.0ms	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
1.0ms	(fmod (cosh a) (* a a))

series62.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

51.0ms	(pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))
4.0ms	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
3.0ms	(fmod (cosh a) (* a a))
3.0ms	(log (exp (fmod (cosh a) (* a a))))

simplify1.5s

Counts: 75 → 75

prune786.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 57.8b

localize70.0ms

Local error

Found 4 expressions with local error:

59.0b	(fmod (cosh a) (* a a))
59.0b	(fmod (cosh a) (* a a))
10.5b	(log (exp (fmod (cosh a) (* a a))))
10.5b	(log (exp (fmod (cosh a) (* a a))))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 56

Calls

4 calls:

Slowest

6.0ms	(log (exp (fmod (cosh a) (* a a))))
5.0ms	(log (exp (fmod (cosh a) (* a a))))
1.0ms	(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))
3.0ms	(log (exp (fmod (cosh a) (* a a))))
3.0ms	(log (exp (fmod (cosh a) (* a a))))
3.0ms	(fmod (cosh a) (* a a))

simplify4.8s

Counts: 68 → 68

prune1.2s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 57.8b

localize58.0ms

Local error

Found 4 expressions with local error:

59.0b	(fmod (cosh a) (* a a))
59.0b	(fmod (cosh a) (* a a))
59.0b	(fmod (cosh a) (* a a))
10.5b	(log (exp (fmod (cosh a) (* a a))))

rewrite14.0ms

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

10.0ms	(fmod (cosh a) (* a a))
3.0ms	(log (exp (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	(log (exp (fmod (cosh a) (* a a))))
2.0ms	(fmod (cosh a) (* a a))

simplify4.2s

Counts: 60 → 60

prune1.1s

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 57.8b

regimes347.0ms

Accuracy

0% (1.0b remaining)

Error of 59.5b against oracle of 58.5b and baseline of 59.5b

bsearch4.0ms

end0.0ms

sample31.8s

Algorithm

intervals

Results

18.2s	7651×	body	10240	exit
7.1s	3212×	body	2560	valid
2.8s	2519×	body	1280	valid
1.9s	15497×	body	80	nan
865.0ms	1262×	body	640	valid
294.0ms	568×	body	320	valid
101.0ms	317×	body	160	valid
20.0ms	122×	body	80	valid
20.0ms	8×	body	5120	nan
15.0ms	11×	body	2560	nan
6.0ms	7×	body	1280	nan
3.0ms	7×	body	320	nan
3.0ms	5×	body	640	nan
2.0ms	7×	body	160	nan