Details

sample119.0ms

Algorithm

halfpoints

Results

simplify1.1s

Counts: 1 → 1

prune26.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.2b

localize176.0ms

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)))
0.3b	(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))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

3×	`sub-neg`
2×	`p16-flip--`
1×	`distribute-rgt-in` `distribute-lft-in` `associate-r/` `-commutative`

Counts

4 → 6

Calls

4 calls:

Slowest

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

simplify715.0ms

Counts: 10 → 10

prune510.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.7b

localize361.0ms

Local error

Found 4 expressions with local error:

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

rewrite17.0ms

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 (neg.p16 re) (real->posit16 2.0)))
1.0ms	(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 (neg.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 (neg.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 (neg.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))

simplify10.2s

Counts: 7 → 7

prune252.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.7b

localize237.0ms

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)))
0.3b	(sqrt.p16 (.p16 (real->posit16 2.0) (/.p16 (.p16 im im) (+.p16 (sqrt.p16 (+.p16 (.p16 re re) (.p16 im im))) re))))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

1×	`+-commutative` `associate-/l*`

Counts

4 → 2

Calls

4 calls:

Slowest

9.0ms	(/.p16 (.p16 im im) (+.p16 (sqrt.p16 (+.p16 (.p16 re re) (*.p16 im im))) re))
5.0ms	(+.p16 (sqrt.p16 (+.p16 (.p16 re re) (.p16 im im))) re)
1.0ms	(sqrt.p16 (+.p16 (.p16 re re) (.p16 im im)))
1.0ms	(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)))

simplify78.0ms

Counts: 6 → 6

prune142.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.6b

localize244.0ms

Local error

Found 4 expressions with local error:

1.4b	(+.p16 (sqrt.p16 (+.p16 (.p16 re re) (.p16 im im))) re)
0.6b	(/.p16 (+.p16 (sqrt.p16 (+.p16 (.p16 re re) (.p16 im im))) re) im)
0.5b	(sqrt.p16 (+.p16 (.p16 re re) (.p16 im im)))
0.3b	(sqrt.p16 (.p16 (real->posit16 2.0) (/.p16 im (/.p16 (+.p16 (sqrt.p16 (+.p16 (.p16 re re) (*.p16 im im))) re) im))))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

1×	`+-commutative`

Counts

4 → 1

Calls

4 calls:

Slowest

12.0ms	(/.p16 (+.p16 (sqrt.p16 (+.p16 (.p16 re re) (.p16 im im))) re) im)
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 im (/.p16 (+.p16 (sqrt.p16 (+.p16 (.p16 re re) (*.p16 im im))) re) 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

prune83.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0.6b

regimes327.0ms

Accuracy

86.8% (0.2b remaining)

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

bsearch10.0ms

end0.0ms

sample2.8s

Algorithm

halfpoints

Results