Details

sample163.0ms

Algorithm

halfpoints

Results

simplify366.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

366.0ms

(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (real->posit16 1.0)) (real->posit16 2.0))

prune29.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.7b

localize158.0ms

Local error

Found 4 expressions with local error:

0.7b	(/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0)))
0.4b	(+.p16 (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (real->posit16 1.0))
0.1b	(+.p16 (+.p16 alpha beta) (real->posit16 2.0))
0.0b	(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (real->posit16 1.0)) (real->posit16 2.0))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

2×	`+-commutative`
1×	`associate-+l+` `p16-flip--` `associate-/l/`

Counts

4 → 4

Calls

4 calls:

Slowest

13.0ms	(+.p16 (+.p16 alpha beta) (real->posit16 2.0))
11.0ms	(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (real->posit16 1.0)) (real->posit16 2.0))
8.0ms	(/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0)))
7.0ms	(+.p16 (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (real->posit16 1.0))

series0.0ms

Counts

4 → 4

Calls

4 calls:

Slowest

0.0ms	(/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0)))
0.0ms	(+.p16 (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (real->posit16 1.0))
0.0ms	(+.p16 (+.p16 alpha beta) (real->posit16 2.0))
0.0ms	(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (real->posit16 1.0)) (real->posit16 2.0))

simplify1.6s

Counts

5 → 8

Calls

5 calls:

Slowest

461.0ms	(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (real->posit16 1.0)) (real->posit16 2.0))
421.0ms	(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (real->posit16 1.0)) (real->posit16 2.0))
376.0ms	(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (real->posit16 1.0)) (real->posit16 2.0))
296.0ms	(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (real->posit16 1.0)) (real->posit16 2.0))
6.0ms	(-.p16 (.p16 beta beta) (.p16 alpha alpha))

prune349.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.6b

localize285.0ms

Local error

Found 4 expressions with local error:

0.7b	(/.p16 (-.p16 beta alpha) (+.p16 alpha (+.p16 beta (real->posit16 2.0))))
0.4b	(+.p16 (/.p16 (-.p16 beta alpha) (+.p16 alpha (+.p16 beta (real->posit16 2.0)))) (real->posit16 1.0))
0.2b	(+.p16 alpha (+.p16 beta (real->posit16 2.0)))
0.0b	(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 alpha (+.p16 beta (real->posit16 2.0)))) (real->posit16 1.0)) (real->posit16 2.0))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 4

Calls

4 calls:

Slowest

22.0ms	(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 alpha (+.p16 beta (real->posit16 2.0)))) (real->posit16 1.0)) (real->posit16 2.0))
13.0ms	(+.p16 (/.p16 (-.p16 beta alpha) (+.p16 alpha (+.p16 beta (real->posit16 2.0)))) (real->posit16 1.0))
9.0ms	(/.p16 (-.p16 beta alpha) (+.p16 alpha (+.p16 beta (real->posit16 2.0))))
8.0ms	(+.p16 alpha (+.p16 beta (real->posit16 2.0)))

series0.0ms

Counts

4 → 4

Calls

4 calls:

Slowest

0.0ms	(/.p16 (-.p16 beta alpha) (+.p16 alpha (+.p16 beta (real->posit16 2.0))))
0.0ms	(+.p16 (/.p16 (-.p16 beta alpha) (+.p16 alpha (+.p16 beta (real->posit16 2.0)))) (real->posit16 1.0))
0.0ms	(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 alpha (+.p16 beta (real->posit16 2.0)))) (real->posit16 1.0)) (real->posit16 2.0))
0.0ms	(+.p16 alpha (+.p16 beta (real->posit16 2.0)))

simplify23.0ms

Counts

2 → 8

Calls

2 calls:

Slowest

19.0ms	(-.p16 (.p16 beta beta) (.p16 alpha alpha))
3.0ms	(real->posit16 2.0)

prune356.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.6b

localize318.0ms

Local error

Found 4 expressions with local error:

1.2b	(/.p16 (.p16 (-.p16 beta alpha) (+.p16 alpha beta)) (.p16 (+.p16 (+.p16 alpha beta) (real->posit16 2.0)) (+.p16 beta alpha)))
0.4b	(+.p16 (/.p16 (.p16 (-.p16 beta alpha) (+.p16 alpha beta)) (.p16 (+.p16 (+.p16 alpha beta) (real->posit16 2.0)) (+.p16 beta alpha))) (real->posit16 1.0))
0.3b	(*.p16 (+.p16 (+.p16 alpha beta) (real->posit16 2.0)) (+.p16 beta alpha))
0.1b	(+.p16 (+.p16 alpha beta) (real->posit16 2.0))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

2×	`+-commutative`
1×	`distribute-rgt-in` `associate-+l+` `associate-/r` `distribute-lft-in` `p16-times-frac` `associate-l/` `p16-flip--` `-commutative` `associate-/l` `associate-/l/`

Counts

4 → 10

Calls

4 calls:

Slowest

16.0ms	(+.p16 (+.p16 alpha beta) (real->posit16 2.0))
15.0ms	(*.p16 (+.p16 (+.p16 alpha beta) (real->posit16 2.0)) (+.p16 beta alpha))
13.0ms	(+.p16 (/.p16 (.p16 (-.p16 beta alpha) (+.p16 alpha beta)) (.p16 (+.p16 (+.p16 alpha beta) (real->posit16 2.0)) (+.p16 beta alpha))) (real->posit16 1.0))
4.0ms	(/.p16 (.p16 (-.p16 beta alpha) (+.p16 alpha beta)) (.p16 (+.p16 (+.p16 alpha beta) (real->posit16 2.0)) (+.p16 beta alpha)))

series0.0ms

Counts

4 → 4

Calls

4 calls:

Slowest

0.0ms	(/.p16 (.p16 (-.p16 beta alpha) (+.p16 alpha beta)) (.p16 (+.p16 (+.p16 alpha beta) (real->posit16 2.0)) (+.p16 beta alpha)))
0.0ms	(+.p16 (/.p16 (.p16 (-.p16 beta alpha) (+.p16 alpha beta)) (.p16 (+.p16 (+.p16 alpha beta) (real->posit16 2.0)) (+.p16 beta alpha))) (real->posit16 1.0))
0.0ms	(*.p16 (+.p16 (+.p16 alpha beta) (real->posit16 2.0)) (+.p16 beta alpha))
0.0ms	(+.p16 (+.p16 alpha beta) (real->posit16 2.0))

simplify662.0ms

Counts

11 → 14

Calls

11 calls:

Slowest

156.0ms	(/.p16 (+.p16 (/.p16 (.p16 (-.p16 beta alpha) (+.p16 alpha beta)) (.p16 (+.p16 (+.p16 alpha beta) (real->posit16 2.0)) (+.p16 beta alpha))) (real->posit16 1.0)) (real->posit16 2.0))
151.0ms	(/.p16 (+.p16 (/.p16 (.p16 (-.p16 beta alpha) (+.p16 alpha beta)) (.p16 (+.p16 (+.p16 alpha beta) (real->posit16 2.0)) (+.p16 beta alpha))) (real->posit16 1.0)) (real->posit16 2.0))
116.0ms	(/.p16 (+.p16 (/.p16 (.p16 (-.p16 beta alpha) (+.p16 alpha beta)) (.p16 (+.p16 (+.p16 alpha beta) (real->posit16 2.0)) (+.p16 beta alpha))) (real->posit16 1.0)) (real->posit16 2.0))
79.0ms	(/.p16 (+.p16 (/.p16 (.p16 (-.p16 beta alpha) (+.p16 alpha beta)) (.p16 (+.p16 (+.p16 alpha beta) (real->posit16 2.0)) (+.p16 beta alpha))) (real->posit16 1.0)) (real->posit16 2.0))
75.0ms	(.p16 (-.p16 (.p16 beta beta) (*.p16 alpha alpha)) (+.p16 alpha beta))

prune747.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.5b

localize196.0ms

Local error

Found 4 expressions with local error:

0.7b	(/.p16 (-.p16 beta alpha) (+.p16 beta (+.p16 alpha (real->posit16 2.0))))
0.4b	(+.p16 (/.p16 (-.p16 beta alpha) (+.p16 beta (+.p16 alpha (real->posit16 2.0)))) (real->posit16 1.0))
0.2b	(+.p16 beta (+.p16 alpha (real->posit16 2.0)))
0.0b	(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 beta (+.p16 alpha (real->posit16 2.0)))) (real->posit16 1.0)) (real->posit16 2.0))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 4

Calls

4 calls:

Slowest

16.0ms	(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 beta (+.p16 alpha (real->posit16 2.0)))) (real->posit16 1.0)) (real->posit16 2.0))
8.0ms	(+.p16 (/.p16 (-.p16 beta alpha) (+.p16 beta (+.p16 alpha (real->posit16 2.0)))) (real->posit16 1.0))
5.0ms	(/.p16 (-.p16 beta alpha) (+.p16 beta (+.p16 alpha (real->posit16 2.0))))
4.0ms	(+.p16 beta (+.p16 alpha (real->posit16 2.0)))

series0.0ms

Counts

4 → 4

Calls

4 calls:

Slowest

0.0ms	(/.p16 (-.p16 beta alpha) (+.p16 beta (+.p16 alpha (real->posit16 2.0))))
0.0ms	(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 beta (+.p16 alpha (real->posit16 2.0)))) (real->posit16 1.0)) (real->posit16 2.0))
0.0ms	(+.p16 (/.p16 (-.p16 beta alpha) (+.p16 beta (+.p16 alpha (real->posit16 2.0)))) (real->posit16 1.0))
0.0ms	(+.p16 beta (+.p16 alpha (real->posit16 2.0)))

simplify1.6s

Counts

6 → 8

Calls

6 calls:

Slowest

504.0ms	(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 beta (+.p16 alpha (real->posit16 2.0)))) (real->posit16 1.0)) (real->posit16 2.0))
384.0ms	(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 beta (+.p16 alpha (real->posit16 2.0)))) (real->posit16 1.0)) (real->posit16 2.0))
351.0ms	(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 beta (+.p16 alpha (real->posit16 2.0)))) (real->posit16 1.0)) (real->posit16 2.0))
342.0ms	(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 beta (+.p16 alpha (real->posit16 2.0)))) (real->posit16 1.0)) (real->posit16 2.0))
9.0ms	(-.p16 (.p16 beta beta) (.p16 alpha alpha))

prune179.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.5b

regimes294.0ms

Accuracy

-∞% (-63.3b remaining)

Error of 0.7b against oracle of 64.0b and baseline of 64.0b

bsearch2.0ms

end0.0ms

sample5.3s

Algorithm

halfpoints

Results