Details

sample1.6s

Algorithm

intervals

Results

858.0ms	272×	body	10240	exit
297.0ms	106×	body	2560	valid
167.0ms	66×	body	1280	valid
85.0ms	563×	body	80	nan
43.0ms	46×	body	640	valid
26.0ms	10×	body	160	valid
14.0ms	23×	body	320	valid
1.0ms	1×	body	2560	nan
1.0ms	5×	body	80	valid
1.0ms	1×	body	320	nan

simplify1.3s

Counts: 1 → 1

prune16.0ms

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×	`expm1-log1p-u` `pow-unpow` `unpow-prod-down` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`acos-asin` `pow-to-exp` `pow-pow` `pow-exp` `sqr-pow`

Counts

3 → 41

Calls

3 calls:

Slowest

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

series94.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

76.0ms	(pow (fmod (cosh a) (* a a)) (log1p a))
13.0ms	(fmod (cosh a) (* a a))
5.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))

simplify1.3s

Counts: 50 → 50

prune514.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 59.0b

localize33.0ms

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))

rewrite8.0ms

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

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

series71.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

64.0ms	(pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))
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))))

simplify1.2s

Counts: 75 → 75

prune864.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 59.0b

localize72.0ms

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))))

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

5.0ms	(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))

series13.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

4.0ms	(log (exp (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))

simplify4.7s

Counts: 60 → 60

prune1.0s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 59.0b

localize67.0ms

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` `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

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))

series12.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

4.0ms	(fmod (cosh a) (* a a))
3.0ms	(fmod (cosh a) (* a a))
2.0ms	(fmod (cosh a) (* a a))
2.0ms	(fmod (cosh a) (* a a))

simplify6.2s

Counts: 52 → 52

prune994.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 59.0b

regimes314.0ms

Accuracy

0% (0.4b remaining)

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

bsearch2.0ms

end0.0ms

sample31.8s

Algorithm

intervals

Results

18.5s	7958×	body	10240	exit
6.9s	3256×	body	2560	valid
2.9s	2496×	body	1280	valid
1.8s	16031×	body	80	nan
821.0ms	1246×	body	640	valid
282.0ms	594×	body	320	valid
111.0ms	296×	body	160	valid
25.0ms	10×	body	5120	nan
19.0ms	8×	body	640	nan
18.0ms	112×	body	80	valid
16.0ms	12×	body	2560	nan
8.0ms	10×	body	1280	nan
3.0ms	8×	body	320	nan
2.0ms	8×	body	160	nan