Details

sample2.0s

Algorithm

intervals

Results

1.0s	246×	body	10240	exit
384.0ms	102×	body	2560	valid
184.0ms	457×	body	80	nan
176.0ms	88×	body	1280	valid
47.0ms	13×	body	320	valid
41.0ms	35×	body	640	valid
6.0ms	13×	body	160	valid
3.0ms	1×	body	5120	nan
1.0ms	5×	body	80	valid
1.0ms	1×	body	2560	nan

simplify1.1s

Counts: 1 → 1

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 60.1b

localize25.0ms

Local error

Found 4 expressions with local error:

59.3b	(fmod (cosh a) (* a a))
2.3b	(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×	`pow1` `add-exp-log`
4×	`add-cbrt-cube` `insert-posit16` `add-log-exp`
3×	`pow-unpow` `unpow-prod-down`
1×	`acos-asin` `pow-to-exp` `pow-pow` `pow-exp` `sqr-pow`

Counts

4 → 43

Calls

4 calls:

Slowest

4.0ms	(pow (fmod (cosh a) (* a a)) (log1p a))
2.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
2.0ms	(fmod (cosh a) (* a a))
0.0ms	(log1p a)

series192.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

171.0ms	(pow (fmod (cosh a) (* a a)) (log1p a))
14.0ms	(fmod (cosh a) (* a a))
4.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
3.0ms	(log1p a)

simplify1.7s

Counts: 55 → 55

prune1.1s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 58.3b

localize23.0ms

Local error

Found 4 expressions with local error:

59.3b	(fmod (cosh a) (* a a))
11.5b	(log (exp (fmod (cosh a) (* a a))))
2.3b	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
0.0b	(log1p a)

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 41

Calls

4 calls:

Slowest

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

series14.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

4.0ms	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
4.0ms	(log (exp (fmod (cosh a) (* a a))))
3.0ms	(fmod (cosh a) (* a a))
2.0ms	(log1p a)

simplify2.0s

Counts: 53 → 53

prune491.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 58.2b

localize44.0ms

Local error

Found 4 expressions with local error:

59.3b	(fmod (cosh a) (* a a))
59.3b	(fmod (cosh a) (* a a))
4.0b	(log (sqrt (exp (fmod (cosh a) (* a a)))))
4.0b	(log (sqrt (exp (fmod (cosh a) (* a a)))))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 58

Calls

4 calls:

Slowest

3.0ms	(log (sqrt (exp (fmod (cosh a) (* a a)))))
3.0ms	(log (sqrt (exp (fmod (cosh a) (* a a)))))
0.0ms	(fmod (cosh a) (* a a))
0.0ms	(fmod (cosh a) (* a a))

series273.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

139.0ms	(log (sqrt (exp (fmod (cosh a) (* a a)))))
130.0ms	(log (sqrt (exp (fmod (cosh a) (* a a)))))
2.0ms	(fmod (cosh a) (* a a))
2.0ms	(fmod (cosh a) (* a a))

simplify5.2s

Counts: 70 → 70

prune870.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 58.2b

localize39.0ms

Local error

Found 4 expressions with local error:

59.3b	(fmod (cosh a) (* a a))
59.3b	(fmod (cosh a) (* a a))
59.3b	(fmod (cosh a) (* a a))
4.0b	(log (cbrt (exp (fmod (cosh a) (* a a)))))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 41

Calls

4 calls:

Slowest

2.0ms	(log (cbrt (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))

series271.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

263.0ms	(log (cbrt (exp (fmod (cosh a) (* a a)))))
3.0ms	(fmod (cosh a) (* a a))
3.0ms	(fmod (cosh a) (* a a))
2.0ms	(fmod (cosh a) (* a a))

simplify1.4s

Counts: 53 → 53

prune614.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 58.2b

regimes77.0ms

Accuracy

0% (1.1b remaining)

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

bsearch2.0ms

end0.0ms

sample32.4s

Algorithm

intervals

Results

19.0s	8104×	body	10240	exit
6.9s	3128×	body	2560	valid
2.6s	2535×	body	1280	valid
2.0s	16188×	body	80	nan
821.0ms	1254×	body	640	valid
302.0ms	642×	body	320	valid
124.0ms	326×	body	160	valid
25.0ms	10×	body	5120	nan
19.0ms	115×	body	80	valid
7.0ms	12×	body	640	nan
5.0ms	4×	body	2560	nan
4.0ms	5×	body	1280	nan
3.0ms	8×	body	320	nan
1.0ms	4×	body	160	nan