Details

sample2.5s

Algorithm

intervals

Results

1.2s	272×	body	10240	exit
430.0ms	106×	body	2560	valid
266.0ms	66×	body	1280	valid
200.0ms	46×	body	640	valid
115.0ms	563×	body	80	nan
19.0ms	23×	body	320	valid
7.0ms	10×	body	160	valid
3.0ms	1×	body	2560	nan
2.0ms	5×	body	80	valid
0.0ms	1×	body	320	nan

simplify1.9s

Counts: 1 → 1

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 60.3b

localize34.0ms

Local error

Found 3 expressions with local error:

59.8b	(fmod (cosh a) (* a a))
2.6b	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
0.0b	(pow (fmod (cosh a) (* a a)) (log1p a))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 35

Calls

3 calls:

Slowest

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

series159.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

145.0ms	(pow (fmod (cosh a) (* a a)) (log1p a))
11.0ms	(fmod (cosh a) (* a a))
3.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))

simplify1.0s

Counts: 44 → 44

prune537.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 59.0b

localize30.0ms

Local error

Found 4 expressions with local error:

59.8b	(fmod (cosh a) (* a a))
8.7b	(log (exp (fmod (cosh a) (* a a))))
2.6b	(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×	`add-cbrt-cube` `insert-posit16` `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 → 55

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

series159.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

147.0ms	(pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))
5.0ms	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
4.0ms	(fmod (cosh a) (* a a))
4.0ms	(log (exp (fmod (cosh a) (* a a))))

simplify1.4s

Counts: 67 → 67

prune671.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 59.0b

localize83.0ms

Local error

Found 4 expressions with local error:

59.8b	(fmod (cosh a) (* a a))
59.8b	(fmod (cosh a) (* a a))
59.8b	(fmod (cosh a) (* a a))
8.7b	(log (exp (fmod (cosh a) (* a a))))

rewrite8.0ms

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×	`rem-log-exp`

Counts

4 → 40

Calls

4 calls:

Slowest

5.0ms	(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))

series14.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

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

simplify4.1s

Counts: 52 → 52

prune914.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 59.0b

localize74.0ms

Local error

Found 4 expressions with local error:

59.8b	(fmod (cosh a) (* a a))
59.8b	(fmod (cosh a) (* a a))
59.8b	(fmod (cosh a) (* a a))
59.8b	(fmod (cosh a) (* a a))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `insert-posit16` `add-log-exp`

Counts

4 → 32

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))

simplify6.0s

Counts: 44 → 44

prune860.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 59.0b

regimes188.0ms

Accuracy

0% (0.4b remaining)

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

bsearch2.0ms

end0.0ms

sample32.4s

Algorithm

intervals

Results

18.2s	7958×	body	10240	exit
6.8s	3256×	body	2560	valid
2.9s	2496×	body	1280	valid
2.6s	16031×	body	80	nan
899.0ms	1246×	body	640	valid
285.0ms	594×	body	320	valid
114.0ms	296×	body	160	valid
36.0ms	12×	body	2560	nan
25.0ms	10×	body	5120	nan
22.0ms	8×	body	640	nan
18.0ms	112×	body	80	valid
8.0ms	10×	body	1280	nan
3.0ms	8×	body	320	nan
2.0ms	8×	body	160	nan