Details

sample77.0ms

Algorithm

halfpoints

Results

simplify15.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

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))))

prune39.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.4b

localize202.0ms

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`

Counts

4 → 4

Calls

4 calls:

Slowest

6.0ms	(+.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 (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))

simplify154.0ms

Counts

8 → 8

Calls

8 calls:

Slowest

36.0ms	(.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))))
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))))
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))))
10.0ms	(.p16 (real->posit16 2.0) (sqrt.p16 (+.p16 (.p16 re re) (*.p16 im im))))

prune235.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 2.3b

localize235.0ms

Local error

Found 4 expressions with local error:

1.6b	(+.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)))
0.3b	(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))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 3

Calls

4 calls:

Slowest

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

simplify57.0ms

Counts

9 → 7

Calls

9 calls:

Slowest

16.0ms	(.p16 (sqrt.p16 (+.p16 (.p16 re re) (*.p16 im im))) (real->posit16 2.0))
10.0ms	(.p16 (sqrt.p16 (+.p16 (.p16 re re) (*.p16 im im))) (real->posit16 2.0))
5.0ms	(.p16 (sqrt.p16 (+.p16 (.p16 re re) (*.p16 im im))) (real->posit16 2.0))
5.0ms	(*.p16 re (real->posit16 2.0))
5.0ms	(.p16 (sqrt.p16 (+.p16 (.p16 re re) (*.p16 im im))) (real->posit16 2.0))

prune158.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 2.3b

regimes188.0ms

Accuracy

-∞% (-61.9b remaining)

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

bsearch5.0ms

end0.0ms

sample2.7s

Algorithm

halfpoints

Results