Details

sample79.0ms

Algorithm

halfpoints

Results

simplify588.0ms

Counts: 1 → 1

prune30.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.2b

localize201.0ms

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

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

1×	`+-commutative` `sub-neg` `p16-flip--`

Counts

4 → 3

Calls

4 calls:

Slowest

4.0ms	(+.p16 (.p16 re re) (.p16 im im))
2.0ms	(-.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

Counts

4 → 4

Calls

4 calls:

Slowest

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	(sqrt.p16 (+.p16 (.p16 re re) (.p16 im im)))
0.0ms	(+.p16 (.p16 re re) (.p16 im im))

simplify612.0ms

Counts: 7 → 7

prune179.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.8b

localize206.0ms

Local error

Found 4 expressions with local error:

1.4b	(+.p16 (sqrt.p16 (+.p16 (.p16 re re) (.p16 im im))) re)
0.9b	(/.p16 (.p16 im im) (+.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 (.p16 im im) (+.p16 (sqrt.p16 (+.p16 (.p16 re re) (.p16 im im))) re))))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

1×	`+-commutative` `associate-/l*`

Counts

4 → 2

Calls

4 calls:

Slowest

5.0ms	(/.p16 (.p16 im im) (+.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 (.p16 im im) (+.p16 (sqrt.p16 (+.p16 (.p16 re re) (.p16 im im))) re))))

series0.0ms

Counts

4 → 4

Calls

4 calls:

Slowest

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

simplify76.0ms

Counts: 6 → 6

prune163.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.8b

localize360.0ms

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

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

1×	`+-commutative`

Counts

4 → 1

Calls

4 calls:

Slowest

7.0ms	(/.p16 (+.p16 (sqrt.p16 (+.p16 (.p16 re re) (.p16 im im))) re) im)
6.0ms	(+.p16 (sqrt.p16 (+.p16 (.p16 re re) (.p16 im im))) re)
0.0ms	(sqrt.p16 (.p16 (real->posit16 2.0) (/.p16 im (/.p16 (+.p16 (sqrt.p16 (+.p16 (.p16 re re) (*.p16 im im))) re) im))))
0.0ms	(sqrt.p16 (+.p16 (.p16 re re) (.p16 im im)))

series0.0ms

Counts

4 → 4

Calls

4 calls:

Slowest

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

simplify9.0ms

Counts: 5 → 5

prune179.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.8b

regimes376.0ms

Accuracy

84.4% (0.2b remaining)

Error of 0.8b against oracle of 0.6b and baseline of 2.0b

bsearch10.0ms

end0.0ms

sample3.8s

Algorithm

halfpoints

Results