Details

sample449.0ms

Algorithm

halfpoints

Results

simplify2.7s

Counts: 1 → 1

prune72.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.3b

localize293.0ms

Local error

Found 4 expressions with local error:

0.8b	(-.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)))
6.0ms	(/.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))))

series1.0ms

Counts

4 → 4

Calls

4 calls:

Slowest

1.0ms	(/.p16 (-.p16 (sqrt.p16 (-.p16 (.p16 b b) (.p16 (.p16 c a) (real->posit16 4)))) b) (.p16 (real->posit16 2) a))
0.0ms	(-.p16 (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))))

simplify2.3s

Counts: 12 → 10

prune461.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 1.0b

localize270.0ms

Local error

Found 4 expressions with local error:

0.8b	(-.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))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 6

Calls

4 calls:

Slowest

4.0ms	(-.p16 (.p16 b b) (.p16 (*.p16 c a) (real->posit16 4)))
3.0ms	(.p16 (.p16 c a) (real->posit16 4))
2.0ms	(-.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))

simplify2.6s

Counts: 11 → 10

prune598.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 1.0b

localize343.0ms

Local error

Found 4 expressions with local error:

0.8b	(-.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)))))
0.2b	(/.p16 (/.p16 (-.p16 (sqrt.p16 (-.p16 (.p16 b b) (.p16 c (*.p16 a (real->posit16 4))))) b) (real->posit16 2)) a)

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 5

Calls

4 calls:

Slowest

10.0ms	(-.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)
4.0ms	(-.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 b b) (.p16 c (*.p16 a (real->posit16 4))))
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	(sqrt.p16 (-.p16 (.p16 b b) (.p16 c (*.p16 a (real->posit16 4)))))

simplify2.1s

Counts: 11 → 9

prune373.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 1.0b

localize184.0ms

Local error

Found 4 expressions with local error:

0.8b	(-.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)))))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 6

Calls

4 calls:

Slowest

5.0ms	(-.p16 (.p16 b b) (.p16 c (*.p16 a (real->posit16 4))))
3.0ms	(/.p16 (-.p16 (sqrt.p16 (-.p16 (.p16 b b) (.p16 c (.p16 a (real->posit16 4))))) b) (.p16 a (real->posit16 2)))
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))))

simplify2.8s

Counts: 12 → 10

prune441.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 1.0b

regimes816.0ms

Accuracy

-∞% (-62.5b remaining)

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

bsearch3.0ms

end0.0ms

sample3.9s

Algorithm

halfpoints

Results