Details

sample146.0ms

Algorithm

halfpoints

Results

simplify305.0ms

Counts: 1 → 1

prune28.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.9b

localize278.0ms

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))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 4

Calls

4 calls:

Slowest

26.0ms	(+.p16 (+.p16 alpha beta) (real->posit16 2.0))
24.0ms	(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (real->posit16 1.0)) (real->posit16 2.0))
17.0ms	(/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0)))
14.0ms	(+.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 (/.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))

simplify1.2s

Counts: 6 → 8

prune322.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.8b

localize261.0ms

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))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 4

Calls

4 calls:

Slowest

23.0ms	(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 alpha (+.p16 beta (real->posit16 2.0)))) (real->posit16 1.0)) (real->posit16 2.0))
22.0ms	(+.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))))
9.0ms	(+.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)))

simplify904.0ms

Counts: 6 → 8

prune238.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.8b

localize416.0ms

Local error

Found 4 expressions with local error:

1.2b	(/.p16 (-.p16 (.p16 beta beta) (.p16 alpha alpha)) (*.p16 (+.p16 (+.p16 alpha beta) (real->posit16 2.0)) (+.p16 beta alpha)))
0.4b	(+.p16 (/.p16 (-.p16 (.p16 beta beta) (.p16 alpha alpha)) (*.p16 (+.p16 (+.p16 alpha beta) (real->posit16 2.0)) (+.p16 beta alpha))) (real->posit16 1.0))
0.3b	(-.p16 (.p16 beta beta) (.p16 alpha alpha))
0.2b	(*.p16 (+.p16 (+.p16 alpha beta) (real->posit16 2.0)) (+.p16 beta alpha))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

3×	`difference-of-squares`
2×	`p16-flip--`
1×	`distribute-rgt-in` `+-commutative` `associate-/r` `sub-neg` `distribute-lft-in` `p16-times-frac` `-commutative` `associate-/l*` `associate-/l/`

Counts

4 → 11

Calls

4 calls:

Slowest

19.0ms	(+.p16 (/.p16 (-.p16 (.p16 beta beta) (.p16 alpha alpha)) (*.p16 (+.p16 (+.p16 alpha beta) (real->posit16 2.0)) (+.p16 beta alpha))) (real->posit16 1.0))
17.0ms	(*.p16 (+.p16 (+.p16 alpha beta) (real->posit16 2.0)) (+.p16 beta alpha))
8.0ms	(/.p16 (-.p16 (.p16 beta beta) (.p16 alpha alpha)) (*.p16 (+.p16 (+.p16 alpha beta) (real->posit16 2.0)) (+.p16 beta alpha)))
6.0ms	(-.p16 (.p16 beta beta) (.p16 alpha alpha))

series0.0ms

Counts

4 → 4

Calls

4 calls:

Slowest

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

simplify409.0ms

Counts: 18 → 15

prune865.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.6b

localize337.0ms

Local error

Found 4 expressions with local error:

0.7b	(/.p16 (-.p16 beta alpha) (+.p16 beta alpha))
0.4b	(+.p16 (*.p16 (/.p16 (+.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (/.p16 (-.p16 beta alpha) (+.p16 beta alpha))) (real->posit16 1.0))
0.4b	(*.p16 (/.p16 (+.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (/.p16 (-.p16 beta alpha) (+.p16 beta alpha)))
0.3b	(/.p16 (+.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0)))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 5

Calls

4 calls:

Slowest

18.0ms	(/.p16 (+.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0)))
10.0ms	(*.p16 (/.p16 (+.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (/.p16 (-.p16 beta alpha) (+.p16 beta alpha)))
9.0ms	(/.p16 (-.p16 beta alpha) (+.p16 beta alpha))
8.0ms	(+.p16 (*.p16 (/.p16 (+.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (/.p16 (-.p16 beta alpha) (+.p16 beta alpha))) (real->posit16 1.0))

series0.0ms

Counts

4 → 4

Calls

4 calls:

Slowest

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

simplify456.0ms

Counts: 11 → 9

prune371.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.6b

regimes740.0ms

Accuracy

-∞% (-63.3b remaining)

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

bsearch3.0ms

end0.0ms

sample4.7s

Algorithm

halfpoints

Results