Details

sample357.0ms

Algorithm

halfpoints

Results

simplify655.0ms

Calls

1 calls:

Slowest

655.0ms

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

prune82.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.8b

localize337.0ms

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

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

4 calls:

Slowest

6.0ms	(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (real->posit16 1.0)) (real->posit16 2.0))
4.0ms	(+.p16 (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (real->posit16 1.0))
2.0ms	(/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0)))
2.0ms	(+.p16 (+.p16 alpha beta) (real->posit16 2.0))

series0.0ms

Calls

4 calls:

Slowest

0.0ms	(/.p16 (-.p16 beta alpha) (+.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))
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))

simplify2.0s

Calls

5 calls:

Slowest

609.0ms	(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (real->posit16 1.0)) (real->posit16 2.0))
563.0ms	(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (real->posit16 1.0)) (real->posit16 2.0))
463.0ms	(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (real->posit16 1.0)) (real->posit16 2.0))
398.0ms	(/.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))

prune513.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.8b

localize302.0ms

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

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

4 calls:

Slowest

11.0ms	(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 alpha (+.p16 beta (real->posit16 2.0)))) (real->posit16 1.0)) (real->posit16 2.0))
7.0ms	(+.p16 (/.p16 (-.p16 beta alpha) (+.p16 alpha (+.p16 beta (real->posit16 2.0)))) (real->posit16 1.0))
4.0ms	(/.p16 (-.p16 beta alpha) (+.p16 alpha (+.p16 beta (real->posit16 2.0))))
3.0ms	(+.p16 alpha (+.p16 beta (real->posit16 2.0)))

series0.0ms

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)))

simplify16.0ms

Calls

2 calls:

Slowest

12.0ms	(-.p16 (.p16 beta beta) (.p16 alpha alpha))
2.0ms	(real->posit16 2.0)

prune680.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.8b

localize339.0ms

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))
0.2b	(*.p16 (+.p16 (+.p16 alpha beta) (real->posit16 2.0)) (+.p16 beta alpha))
0.1b	(*.p16 (-.p16 beta alpha) (+.p16 alpha beta))

rewrite27.0ms

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/`

Calls

4 calls:

Slowest

11.0ms	(+.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))
6.0ms	(/.p16 (.p16 (-.p16 beta alpha) (+.p16 alpha beta)) (.p16 (+.p16 (+.p16 alpha beta) (real->posit16 2.0)) (+.p16 beta alpha)))
5.0ms	(*.p16 (+.p16 (+.p16 alpha beta) (real->posit16 2.0)) (+.p16 beta alpha))
3.0ms	(*.p16 (-.p16 beta alpha) (+.p16 alpha beta))

series0.0ms

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 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 beta alpha) (+.p16 alpha beta))

simplify709.0ms

Calls

14 calls:

Slowest

165.0ms	(/.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))
133.0ms	(/.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))
89.0ms	(/.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))
85.0ms	(.p16 (-.p16 (.p16 beta beta) (*.p16 alpha alpha)) (+.p16 alpha beta))
83.0ms	(/.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))

prune1.8s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.6b

localize226.0ms

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

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

4 calls:

Slowest

11.0ms	(/.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))
4.0ms	(/.p16 (-.p16 beta alpha) (+.p16 beta (+.p16 alpha (real->posit16 2.0))))
3.0ms	(+.p16 beta (+.p16 alpha (real->posit16 2.0)))

series0.0ms

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)))

simplify2.1s

Calls

6 calls:

Slowest

571.0ms	(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 beta (+.p16 alpha (real->posit16 2.0)))) (real->posit16 1.0)) (real->posit16 2.0))
570.0ms	(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 beta (+.p16 alpha (real->posit16 2.0)))) (real->posit16 1.0)) (real->posit16 2.0))
459.0ms	(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 beta (+.p16 alpha (real->posit16 2.0)))) (real->posit16 1.0)) (real->posit16 2.0))
450.0ms	(/.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))

prune585.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.6b

regimes1.4s

Accuracy

-∞% (-63.2b remaining)

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

bsearch4.0ms

end0.0ms

sample7.2s

Algorithm

halfpoints

Results