Details

sample319.0ms

Algorithm

halfpoints

Results

simplify2.9s

Counts: 1 → 1

prune72.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.1b

localize265.0ms

Local error

Found 4 expressions with local error:

0.6b	(-.p16 (sqrt.p16 (-.p16 (.p16 b b) (.p16 (*.p16 c a) (real->posit16 4)))) b)
0.3b	(/.p16 (-.p16 (sqrt.p16 (-.p16 (.p16 b b) (.p16 (.p16 c a) (real->posit16 4)))) b) (.p16 (real->posit16 2) a))
0.3b	(-.p16 (.p16 b b) (.p16 (*.p16 c a) (real->posit16 4)))
0.3b	(sqrt.p16 (-.p16 (.p16 b b) (.p16 (*.p16 c a) (real->posit16 4))))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

3×	`p16-flip--`
2×	`sub-neg`
1×	`associate-/r*` `associate-/l/`

Counts

4 → 6

Calls

4 calls:

Slowest

7.0ms	(-.p16 (.p16 b b) (.p16 (*.p16 c a) (real->posit16 4)))
7.0ms	(/.p16 (-.p16 (sqrt.p16 (-.p16 (.p16 b b) (.p16 (.p16 c a) (real->posit16 4)))) b) (.p16 (real->posit16 2) a))
5.0ms	(-.p16 (sqrt.p16 (-.p16 (.p16 b b) (.p16 (*.p16 c a) (real->posit16 4)))) b)
0.0ms	(sqrt.p16 (-.p16 (.p16 b b) (.p16 (*.p16 c a) (real->posit16 4))))

series0.0ms

Counts

4 → 4

Calls

4 calls:

Slowest

0.0ms	(-.p16 (sqrt.p16 (-.p16 (.p16 b b) (.p16 (*.p16 c a) (real->posit16 4)))) b)
0.0ms	(/.p16 (-.p16 (sqrt.p16 (-.p16 (.p16 b b) (.p16 (.p16 c a) (real->posit16 4)))) b) (.p16 (real->posit16 2) a))
0.0ms	(-.p16 (.p16 b b) (.p16 (*.p16 c a) (real->posit16 4)))
0.0ms	(sqrt.p16 (-.p16 (.p16 b b) (.p16 (*.p16 c a) (real->posit16 4))))

simplify2.0s

Counts: 10 → 10

prune551.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.8b

localize312.0ms

Local error

Found 4 expressions with local error:

0.6b	(-.p16 (sqrt.p16 (-.p16 (.p16 b b) (.p16 (*.p16 c a) (real->posit16 4)))) b)
0.3b	(-.p16 (.p16 b b) (.p16 (*.p16 c a) (real->posit16 4)))
0.3b	(sqrt.p16 (-.p16 (.p16 b b) (.p16 (*.p16 c a) (real->posit16 4))))
0.3b	(.p16 (.p16 c a) (real->posit16 4))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

2×	`sub-neg` `p16-flip--`
1×	`associate-l` `*-commutative`

Counts

4 → 6

Calls

4 calls:

Slowest

8.0ms	(-.p16 (.p16 b b) (.p16 (*.p16 c a) (real->posit16 4)))
6.0ms	(.p16 (.p16 c a) (real->posit16 4))
3.0ms	(-.p16 (sqrt.p16 (-.p16 (.p16 b b) (.p16 (*.p16 c a) (real->posit16 4)))) b)
0.0ms	(sqrt.p16 (-.p16 (.p16 b b) (.p16 (*.p16 c a) (real->posit16 4))))

series0.0ms

Counts

4 → 4

Calls

4 calls:

Slowest

0.0ms	(-.p16 (sqrt.p16 (-.p16 (.p16 b b) (.p16 (*.p16 c a) (real->posit16 4)))) b)
0.0ms	(-.p16 (.p16 b b) (.p16 (*.p16 c a) (real->posit16 4)))
0.0ms	(sqrt.p16 (-.p16 (.p16 b b) (.p16 (*.p16 c a) (real->posit16 4))))
0.0ms	(.p16 (.p16 c a) (real->posit16 4))

simplify2.1s

Counts: 10 → 10

prune518.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.8b

localize269.0ms

Local error

Found 4 expressions with local error:

0.6b	(-.p16 (sqrt.p16 (-.p16 (.p16 b b) (.p16 c (*.p16 a (real->posit16 4))))) b)
0.3b	(-.p16 (.p16 b b) (.p16 c (*.p16 a (real->posit16 4))))
0.3b	(sqrt.p16 (-.p16 (.p16 b b) (.p16 c (*.p16 a (real->posit16 4)))))
0.3b	(/.p16 (/.p16 (-.p16 (sqrt.p16 (-.p16 (.p16 b b) (.p16 c (*.p16 a (real->posit16 4))))) b) (real->posit16 2)) a)

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

2×	`sub-neg` `p16-flip--`
1×	`associate-/l/`

Counts

4 → 5

Calls

4 calls:

Slowest

9.0ms	(-.p16 (.p16 b b) (.p16 c (*.p16 a (real->posit16 4))))
6.0ms	(/.p16 (/.p16 (-.p16 (sqrt.p16 (-.p16 (.p16 b b) (.p16 c (*.p16 a (real->posit16 4))))) b) (real->posit16 2)) a)
3.0ms	(-.p16 (sqrt.p16 (-.p16 (.p16 b b) (.p16 c (*.p16 a (real->posit16 4))))) b)
0.0ms	(sqrt.p16 (-.p16 (.p16 b b) (.p16 c (*.p16 a (real->posit16 4)))))

series0.0ms

Counts

4 → 4

Calls

4 calls:

Slowest

0.0ms	(-.p16 (sqrt.p16 (-.p16 (.p16 b b) (.p16 c (*.p16 a (real->posit16 4))))) b)
0.0ms	(/.p16 (/.p16 (-.p16 (sqrt.p16 (-.p16 (.p16 b b) (.p16 c (*.p16 a (real->posit16 4))))) b) (real->posit16 2)) a)
0.0ms	(-.p16 (.p16 b b) (.p16 c (*.p16 a (real->posit16 4))))
0.0ms	(sqrt.p16 (-.p16 (.p16 b b) (.p16 c (*.p16 a (real->posit16 4)))))

simplify1.9s

Counts: 9 → 9

prune315.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.8b

localize177.0ms

Local error

Found 4 expressions with local error:

0.6b	(-.p16 (sqrt.p16 (-.p16 (.p16 b b) (.p16 c (*.p16 a (real->posit16 4))))) b)
0.3b	(/.p16 (-.p16 (sqrt.p16 (-.p16 (.p16 b b) (.p16 c (.p16 a (real->posit16 4))))) b) (.p16 a (real->posit16 2)))
0.3b	(-.p16 (.p16 b b) (.p16 c (*.p16 a (real->posit16 4))))
0.3b	(sqrt.p16 (-.p16 (.p16 b b) (.p16 c (*.p16 a (real->posit16 4)))))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

3×	`p16-flip--`
2×	`sub-neg`
1×	`associate-/r*` `associate-/l/`

Counts

4 → 6

Calls

4 calls:

Slowest

9.0ms	(/.p16 (-.p16 (sqrt.p16 (-.p16 (.p16 b b) (.p16 c (.p16 a (real->posit16 4))))) b) (.p16 a (real->posit16 2)))
5.0ms	(-.p16 (.p16 b b) (.p16 c (*.p16 a (real->posit16 4))))
2.0ms	(-.p16 (sqrt.p16 (-.p16 (.p16 b b) (.p16 c (*.p16 a (real->posit16 4))))) b)
0.0ms	(sqrt.p16 (-.p16 (.p16 b b) (.p16 c (*.p16 a (real->posit16 4)))))

series0.0ms

Counts

4 → 4

Calls

4 calls:

Slowest

0.0ms	(-.p16 (sqrt.p16 (-.p16 (.p16 b b) (.p16 c (*.p16 a (real->posit16 4))))) b)
0.0ms	(/.p16 (-.p16 (sqrt.p16 (-.p16 (.p16 b b) (.p16 c (.p16 a (real->posit16 4))))) b) (.p16 a (real->posit16 2)))
0.0ms	(sqrt.p16 (-.p16 (.p16 b b) (.p16 c (*.p16 a (real->posit16 4)))))
0.0ms	(-.p16 (.p16 b b) (.p16 c (*.p16 a (real->posit16 4))))

simplify3.2s

Counts: 10 → 10

prune358.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.8b

regimes993.0ms

Accuracy

-∞% (-62.5b remaining)

Error of 1.5b against oracle of 64.0b and baseline of 64.0b

bsearch4.0ms

end0.0ms

sample3.5s

Algorithm

halfpoints

Results