Details

sample142.0ms

Algorithm

halfpoints

Results

simplify31.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

31.0ms

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

prune72.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.3b

localize669.0ms

Local error

Found 4 expressions with local error:

1.2b	(+.p16 (sqrt.p16 (+.p16 (.p16 re re) (.p16 im im))) re)
0.5b	(sqrt.p16 (+.p16 (.p16 re re) (.p16 im im)))
0.4b	(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))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 4

Calls

4 calls:

Slowest

5.0ms	(+.p16 (sqrt.p16 (+.p16 (.p16 re re) (.p16 im im))) re)
5.0ms	(.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)))
0.0ms	(sqrt.p16 (.p16 (real->posit16 2.0) (+.p16 (sqrt.p16 (+.p16 (.p16 re re) (*.p16 im im))) re)))

series0.0ms

Counts

4 → 4

Calls

4 calls:

Slowest

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

simplify115.0ms

Counts

6 → 8

Calls

6 calls:

Slowest

32.0ms	(.p16 (real->posit16 0.5) (sqrt.p16 (.p16 (real->posit16 2.0) (+.p16 (sqrt.p16 (+.p16 (.p16 re re) (.p16 im im))) re))))
29.0ms	(.p16 (real->posit16 0.5) (sqrt.p16 (.p16 (real->posit16 2.0) (+.p16 (sqrt.p16 (+.p16 (.p16 re re) (.p16 im im))) re))))
28.0ms	(.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) re)

prune291.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 2.3b

localize343.0ms

Local error

Found 4 expressions with local error:

1.5b	(+.p16 (.p16 (sqrt.p16 (+.p16 (.p16 re re) (.p16 im im))) (real->posit16 2.0)) (.p16 re (real->posit16 2.0)))
0.5b	(sqrt.p16 (+.p16 (.p16 re re) (.p16 im im)))
0.4b	(sqrt.p16 (+.p16 (.p16 (sqrt.p16 (+.p16 (.p16 re re) (.p16 im im))) (real->posit16 2.0)) (.p16 re (real->posit16 2.0))))
0.2b	(+.p16 (.p16 re re) (.p16 im im))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

2×	`+-commutative`
1×	`distribute-rgt-out`

Counts

4 → 3

Calls

4 calls:

Slowest

8.0ms	(+.p16 (.p16 re re) (.p16 im im))
7.0ms	(+.p16 (.p16 (sqrt.p16 (+.p16 (.p16 re re) (.p16 im im))) (real->posit16 2.0)) (.p16 re (real->posit16 2.0)))
0.0ms	(sqrt.p16 (+.p16 (.p16 re re) (.p16 im im)))
0.0ms	(sqrt.p16 (+.p16 (.p16 (sqrt.p16 (+.p16 (.p16 re re) (.p16 im im))) (real->posit16 2.0)) (.p16 re (real->posit16 2.0))))

series0.0ms

Counts

4 → 4

Calls

4 calls:

Slowest

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

simplify32.0ms

Counts

6 → 7

Calls

6 calls:

Slowest

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

prune180.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 2.3b

regimes213.0ms

Accuracy

-∞% (-61.9b remaining)

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

bsearch5.0ms

end0.0ms

sample2.5s

Algorithm

halfpoints

Results