Details

sample76.0ms

Algorithm

halfpoints

Results

simplify24.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

24.0ms

(*.p16 (real->posit16 0.5) (sqrt.p16 (*.p16 (real->posit16 2.0) (+.p16 (sqrt.p16 (+.p16 (*.p16 re re) (*.p16 im im))) re))))

prune48.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.4b

localize239.0ms

Local error

Found 4 expressions with local error:

1.4b	(+.p16 (sqrt.p16 (+.p16 (.p16 re re) (.p16 im im))) re)
0.5b	(sqrt.p16 (+.p16 (.p16 re re) (.p16 im im)))
0.3b	(sqrt.p16 (.p16 (real->posit16 2.0) (+.p16 (sqrt.p16 (+.p16 (.p16 re re) (*.p16 im im))) re)))
0.2b	(.p16 (real->posit16 2.0) (+.p16 (sqrt.p16 (+.p16 (.p16 re re) (*.p16 im im))) re))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

1×	`distribute-rgt-in` `+-commutative` `distribute-lft-in` `*-commutative`

Counts

4 → 4

Calls

4 calls:

Slowest

3.0ms	(.p16 (real->posit16 2.0) (+.p16 (sqrt.p16 (+.p16 (.p16 re re) (*.p16 im im))) re))
2.0ms	(+.p16 (sqrt.p16 (+.p16 (.p16 re re) (.p16 im im))) re)
0.0ms	(sqrt.p16 (.p16 (real->posit16 2.0) (+.p16 (sqrt.p16 (+.p16 (.p16 re re) (*.p16 im im))) re)))
0.0ms	(sqrt.p16 (+.p16 (.p16 re re) (.p16 im im)))

series0.0ms

Counts

4 → 4

Calls

4 calls:

Slowest

0.0ms	(sqrt.p16 (+.p16 (.p16 re re) (.p16 im im)))
0.0ms	(+.p16 (sqrt.p16 (+.p16 (.p16 re re) (.p16 im im))) re)
0.0ms	(sqrt.p16 (.p16 (real->posit16 2.0) (+.p16 (sqrt.p16 (+.p16 (.p16 re re) (*.p16 im im))) re)))
0.0ms	(.p16 (real->posit16 2.0) (+.p16 (sqrt.p16 (+.p16 (.p16 re re) (*.p16 im im))) re))

simplify79.0ms

Counts

8 → 8

Calls

8 calls:

Slowest

19.0ms	(.p16 (real->posit16 0.5) (sqrt.p16 (.p16 (real->posit16 2.0) (+.p16 (sqrt.p16 (+.p16 (.p16 re re) (.p16 im im))) re))))
15.0ms	(.p16 (real->posit16 0.5) (sqrt.p16 (.p16 (real->posit16 2.0) (+.p16 (sqrt.p16 (+.p16 (.p16 re re) (.p16 im im))) re))))
14.0ms	(.p16 (real->posit16 0.5) (sqrt.p16 (.p16 (real->posit16 2.0) (+.p16 (sqrt.p16 (+.p16 (.p16 re re) (.p16 im im))) re))))
14.0ms	(.p16 (real->posit16 0.5) (sqrt.p16 (.p16 (real->posit16 2.0) (+.p16 (sqrt.p16 (+.p16 (.p16 re re) (.p16 im im))) re))))
5.0ms	(.p16 (real->posit16 2.0) (sqrt.p16 (+.p16 (.p16 re re) (*.p16 im im))))

prune186.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 2.3b

localize271.0ms

Local error

Found 4 expressions with local error:

1.6b	(+.p16 (.p16 (real->posit16 2.0) (sqrt.p16 (+.p16 (.p16 re re) (.p16 im im)))) (.p16 (real->posit16 2.0) re))
0.5b	(sqrt.p16 (+.p16 (.p16 re re) (.p16 im im)))
0.3b	(sqrt.p16 (+.p16 (.p16 (real->posit16 2.0) (sqrt.p16 (+.p16 (.p16 re re) (.p16 im im)))) (.p16 (real->posit16 2.0) re)))
0.2b	(+.p16 (.p16 re re) (.p16 im im))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

2×	`+-commutative`
1×	`p16-distribute-lft-out` `distribute-lft-out`

Counts

4 → 4

Calls

4 calls:

Slowest

4.0ms	(+.p16 (.p16 re re) (.p16 im im))
3.0ms	(+.p16 (.p16 (real->posit16 2.0) (sqrt.p16 (+.p16 (.p16 re re) (.p16 im im)))) (.p16 (real->posit16 2.0) re))
0.0ms	(sqrt.p16 (+.p16 (.p16 re re) (.p16 im im)))
0.0ms	(sqrt.p16 (+.p16 (.p16 (real->posit16 2.0) (sqrt.p16 (+.p16 (.p16 re re) (.p16 im im)))) (.p16 (real->posit16 2.0) re)))

series0.0ms

Counts

4 → 4

Calls

4 calls:

Slowest

0.0ms	(+.p16 (.p16 (real->posit16 2.0) (sqrt.p16 (+.p16 (.p16 re re) (.p16 im im)))) (.p16 (real->posit16 2.0) re))
0.0ms	(sqrt.p16 (+.p16 (.p16 re re) (.p16 im im)))
0.0ms	(sqrt.p16 (+.p16 (.p16 (real->posit16 2.0) (sqrt.p16 (+.p16 (.p16 re re) (.p16 im im)))) (.p16 (real->posit16 2.0) re)))
0.0ms	(+.p16 (.p16 re re) (.p16 im im))

simplify57.0ms

Counts

10 → 8

Calls

10 calls:

Slowest

12.0ms	(.p16 (real->posit16 2.0) (sqrt.p16 (+.p16 (.p16 re re) (*.p16 im im))))
8.0ms	(.p16 (real->posit16 2.0) (sqrt.p16 (+.p16 (.p16 re re) (*.p16 im im))))
7.0ms	(+.p16 (sqrt.p16 (+.p16 (.p16 re re) (.p16 im im))) re)
6.0ms	(.p16 (real->posit16 2.0) (sqrt.p16 (+.p16 (.p16 re re) (*.p16 im im))))
5.0ms	(.p16 (real->posit16 2.0) (sqrt.p16 (+.p16 (.p16 re re) (*.p16 im im))))

prune217.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 2.3b

regimes179.0ms

Accuracy

-∞% (-61.9b remaining)

Error of 2.1b against oracle of 64.0b and baseline of 64.0b

bsearch2.0ms

end0.0ms

sample2.7s

Algorithm

halfpoints

Results