Details

sample241.0ms

Algorithm

halfpoints

Results

simplify461.0ms

Counts

1 → 1

Calls

1 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))

prune38.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.6b

localize169.0ms

Local error

Found 4 expressions with local error:

0.6b	(/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0)))
0.3b	(+.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))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 4

Calls

4 calls:

Slowest

14.0ms	(+.p16 (+.p16 alpha beta) (real->posit16 2.0))
13.0ms	(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (real->posit16 1.0)) (real->posit16 2.0))
12.0ms	(+.p16 (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (real->posit16 1.0))
8.0ms	(/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0)))

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

simplify2.1s

Counts

5 → 8

Calls

5 calls:

Slowest

579.0ms	(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (real->posit16 1.0)) (real->posit16 2.0))
564.0ms	(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (real->posit16 1.0)) (real->posit16 2.0))
547.0ms	(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (real->posit16 1.0)) (real->posit16 2.0))
418.0ms	(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (real->posit16 1.0)) (real->posit16 2.0))
10.0ms	(-.p16 (.p16 beta beta) (.p16 alpha alpha))

prune271.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.5b

localize191.0ms

Local error

Found 4 expressions with local error:

0.6b	(/.p16 (-.p16 beta alpha) (+.p16 alpha (+.p16 beta (real->posit16 2.0))))
0.3b	(+.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))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 4

Calls

4 calls:

Slowest

21.0ms	(/.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)))

simplify14.0ms

Counts

2 → 8

Calls

2 calls:

Slowest

11.0ms	(-.p16 (.p16 beta beta) (.p16 alpha alpha))
2.0ms	(real->posit16 2.0)

prune217.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.5b

localize206.0ms

Local error

Found 4 expressions with local error:

1.1b	(/.p16 (.p16 (-.p16 beta alpha) (+.p16 alpha beta)) (.p16 (+.p16 (+.p16 alpha beta) (real->posit16 2.0)) (+.p16 beta alpha)))
0.3b	(+.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 beta alpha) (+.p16 alpha beta))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 12

Calls

4 calls:

Slowest

11.0ms	(/.p16 (.p16 (-.p16 beta alpha) (+.p16 alpha beta)) (.p16 (+.p16 (+.p16 alpha beta) (real->posit16 2.0)) (+.p16 beta alpha)))
9.0ms	(*.p16 (+.p16 (+.p16 alpha beta) (real->posit16 2.0)) (+.p16 beta alpha))
6.0ms	(+.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))
3.0ms	(*.p16 (-.p16 beta alpha) (+.p16 alpha beta))

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 beta alpha) (+.p16 alpha beta))

simplify665.0ms

Counts

14 → 16

Calls

14 calls:

Slowest

163.0ms	(/.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))
127.0ms	(/.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))
118.0ms	(/.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))
80.0ms	(/.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))
61.0ms	(.p16 (-.p16 (.p16 beta beta) (*.p16 alpha alpha)) (+.p16 alpha beta))

prune623.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.4b

localize171.0ms

Local error

Found 4 expressions with local error:

0.6b	(/.p16 (-.p16 beta alpha) (+.p16 beta (+.p16 alpha (real->posit16 2.0))))
0.3b	(+.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))

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 4

Calls

4 calls:

Slowest

24.0ms	(/.p16 (-.p16 beta alpha) (+.p16 beta (+.p16 alpha (real->posit16 2.0))))
23.0ms	(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 beta (+.p16 alpha (real->posit16 2.0)))) (real->posit16 1.0)) (real->posit16 2.0))
15.0ms	(+.p16 (/.p16 (-.p16 beta alpha) (+.p16 beta (+.p16 alpha (real->posit16 2.0)))) (real->posit16 1.0))
10.0ms	(+.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 beta alpha) (+.p16 beta (+.p16 alpha (real->posit16 2.0)))) (real->posit16 1.0))
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 beta (+.p16 alpha (real->posit16 2.0)))

simplify2.0s

Counts

6 → 8

Calls

6 calls:

Slowest

560.0ms	(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 beta (+.p16 alpha (real->posit16 2.0)))) (real->posit16 1.0)) (real->posit16 2.0))
528.0ms	(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 beta (+.p16 alpha (real->posit16 2.0)))) (real->posit16 1.0)) (real->posit16 2.0))
475.0ms	(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 beta (+.p16 alpha (real->posit16 2.0)))) (real->posit16 1.0)) (real->posit16 2.0))
401.0ms	(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 beta (+.p16 alpha (real->posit16 2.0)))) (real->posit16 1.0)) (real->posit16 2.0))
12.0ms	(-.p16 (.p16 beta beta) (.p16 alpha alpha))

prune259.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.4b

regimes304.0ms

Accuracy

-∞% (-63.2b remaining)

Error of 0.8b against oracle of 64.0b and baseline of 64.0b

bsearch4.0ms

end0.0ms

sample5.4s

Algorithm

halfpoints

Results