Details

sample209.0ms

Algorithm

halfpoints

Results

simplify27.0ms

Calls

1 calls:

Slowest

26.0ms

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

prune44.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.0b

localize269.0ms

Local error

Found 4 expressions with local error:

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

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

4 calls:

Slowest

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

simplify143.0ms

Calls

8 calls:

Slowest

30.0ms	(.p16 (real->posit16 0.5) (sqrt.p16 (.p16 (real->posit16 2.0) (+.p16 (sqrt.p16 (+.p16 (.p16 re re) (.p16 im im))) re))))
30.0ms	(.p16 (real->posit16 0.5) (sqrt.p16 (.p16 (real->posit16 2.0) (+.p16 (sqrt.p16 (+.p16 (.p16 re re) (.p16 im im))) re))))
30.0ms	(.p16 (real->posit16 0.5) (sqrt.p16 (.p16 (real->posit16 2.0) (+.p16 (sqrt.p16 (+.p16 (.p16 re re) (.p16 im im))) re))))
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))))
13.0ms	(*.p16 (real->posit16 2.0) re)

prune465.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 2.0b

localize298.0ms

Local error

Found 4 expressions with local error:

1.4b	(+.p16 (.p16 (real->posit16 2.0) re) (.p16 (real->posit16 2.0) (sqrt.p16 (+.p16 (.p16 re re) (.p16 im im)))))
0.4b	(sqrt.p16 (+.p16 (.p16 re re) (.p16 im im)))
0.3b	(sqrt.p16 (+.p16 (.p16 (real->posit16 2.0) re) (.p16 (real->posit16 2.0) (sqrt.p16 (+.p16 (.p16 re re) (.p16 im im))))))
0.2b	(+.p16 (.p16 re re) (.p16 im im))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

4 calls:

Slowest

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

series0.0ms

Calls

4 calls:

Slowest

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

simplify57.0ms

Calls

10 calls:

Slowest

10.0ms	(.p16 (real->posit16 2.0) (sqrt.p16 (+.p16 (.p16 re re) (*.p16 im im))))
9.0ms	(.p16 (real->posit16 2.0) (sqrt.p16 (+.p16 (.p16 re re) (*.p16 im im))))
8.0ms	(+.p16 re (sqrt.p16 (+.p16 (.p16 re re) (.p16 im im))))
8.0ms	(+.p16 re (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))))

prune515.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 2.0b

regimes635.0ms

Accuracy

-∞% (-61.9b remaining)

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

bsearch4.0ms

end0.0ms

sample3.2s

Algorithm

halfpoints

Results