Details

sample168.0ms

Algorithm

halfpoints

Results

simplify16.0ms

Calls

1 calls:

Slowest

16.0ms

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

prune43.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.4b

localize492.0ms

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))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

4 calls:

Slowest

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

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))

simplify93.0ms

Calls

6 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))))
21.0ms	(.p16 (real->posit16 0.5) (sqrt.p16 (.p16 (real->posit16 2.0) (+.p16 (sqrt.p16 (+.p16 (.p16 re re) (.p16 im im))) re))))
20.0ms	(.p16 (real->posit16 0.5) (sqrt.p16 (.p16 (real->posit16 2.0) (+.p16 (sqrt.p16 (+.p16 (.p16 re re) (.p16 im im))) re))))
16.0ms	(.p16 (real->posit16 0.5) (sqrt.p16 (.p16 (real->posit16 2.0) (+.p16 (sqrt.p16 (+.p16 (.p16 re re) (.p16 im im))) re))))
6.0ms	(*.p16 (real->posit16 2.0) re)

prune467.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 2.3b

localize506.0ms

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))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

4 calls:

Slowest

7.0ms	(+.p16 (.p16 re re) (.p16 im im))
5.0ms	(+.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

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 (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	(+.p16 (.p16 re re) (.p16 im im))

simplify39.0ms

Calls

8 calls:

Slowest

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

prune489.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 2.3b

regimes617.0ms

Accuracy

-∞% (-61.8b remaining)

Error of 2.2b against oracle of 64.0b and baseline of 64.0b

bsearch5.0ms

end0.0ms

sample4.1s

Algorithm

halfpoints

Results