Details

sample232.0ms

Algorithm

halfpoints

Results

simplify2.2s

Counts: 1 → 1

prune69.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.7b

localize219.0ms

Local error

Found 4 expressions with local error:

1.1b	(-.p16 (sqrt.p16 (-.p16 (.p16 b b) (.p16 (*.p16 c a) (real->posit16 4)))) b)
0.4b	(sqrt.p16 (-.p16 (.p16 b b) (.p16 (*.p16 c a) (real->posit16 4))))
0.3b	(.p16 (.p16 c a) (real->posit16 4))
0.3b	(/.p16 (-.p16 (sqrt.p16 (-.p16 (.p16 b b) (.p16 (.p16 c a) (real->posit16 4)))) b) (.p16 (real->posit16 2) a))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 6

Calls

4 calls:

Slowest

6.0ms	(.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

0.0ms	(-.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))))
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 c a) (real->posit16 4))

simplify1.1s

Counts: 10 → 10

prune445.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 1.2b

localize208.0ms

Local error

Found 4 expressions with local error:

1.1b	(-.p16 (sqrt.p16 (-.p16 (.p16 b b) (.p16 (*.p16 c a) (real->posit16 4)))) b)
0.4b	(sqrt.p16 (-.p16 (.p16 b b) (.p16 (*.p16 c a) (real->posit16 4))))
0.3b	(.p16 (.p16 c a) (real->posit16 4))
0.2b	(/.p16 (/.p16 (-.p16 (sqrt.p16 (-.p16 (.p16 b b) (.p16 (*.p16 c a) (real->posit16 4)))) b) (real->posit16 2)) a)

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 5

Calls

4 calls:

Slowest

15.0ms	(.p16 (.p16 c a) (real->posit16 4))
4.0ms	(-.p16 (sqrt.p16 (-.p16 (.p16 b b) (.p16 (*.p16 c a) (real->posit16 4)))) b)
4.0ms	(/.p16 (/.p16 (-.p16 (sqrt.p16 (-.p16 (.p16 b b) (.p16 (*.p16 c a) (real->posit16 4)))) b) (real->posit16 2)) a)
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 (-.p16 (sqrt.p16 (-.p16 (.p16 b b) (.p16 (*.p16 c a) (real->posit16 4)))) b) (real->posit16 2)) a)
0.0ms	(sqrt.p16 (-.p16 (.p16 b b) (.p16 (*.p16 c a) (real->posit16 4))))
0.0ms	(.p16 (.p16 c a) (real->posit16 4))

simplify1.1s

Counts: 9 → 9

prune420.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 1.2b

localize259.0ms

Local error

Found 4 expressions with local error:

1.1b	(-.p16 (sqrt.p16 (-.p16 (.p16 b b) (.p16 c (*.p16 a (real->posit16 4))))) b)
0.4b	(sqrt.p16 (-.p16 (.p16 b b) (.p16 c (*.p16 a (real->posit16 4)))))
0.3b	(/.p16 (-.p16 (sqrt.p16 (-.p16 (.p16 b b) (.p16 c (.p16 a (real->posit16 4))))) b) (.p16 (real->posit16 2) a))
0.2b	(-.p16 (.p16 b b) (.p16 c (*.p16 a (real->posit16 4))))

rewrite12.0ms

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 (real->posit16 2) a))
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 (real->posit16 2) a))
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))))

simplify3.3s

Counts: 10 → 10

prune496.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 1.2b

localize346.0ms

Local error

Found 4 expressions with local error:

1.1b	(-.p16 (sqrt.p16 (-.p16 (.p16 b b) (.p16 c (*.p16 a (real->posit16 4))))) b)
0.4b	(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)
0.2b	(-.p16 (.p16 b b) (.p16 c (*.p16 a (real->posit16 4))))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 5

Calls

4 calls:

Slowest

11.0ms	(-.p16 (.p16 b b) (.p16 c (*.p16 a (real->posit16 4))))
7.0ms	(/.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 (-.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)))))
0.0ms	(-.p16 (.p16 b b) (.p16 c (*.p16 a (real->posit16 4))))

simplify2.5s

Counts: 9 → 9

prune405.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 1.2b

regimes687.0ms

Accuracy

-∞% (-62.5b remaining)

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

bsearch8.0ms

end0.0ms

sample3.8s

Algorithm

halfpoints

Results