Details

sample329.0ms

Algorithm

halfpoints

Results

simplify445.0ms

Calls

1 calls:

Slowest

445.0ms

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

prune97.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.6b

localize427.0ms

Local error

Found 4 expressions with local error:

0.5b	(/.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/`

Calls

4 calls:

Slowest

19.0ms	(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (real->posit16 1.0)) (real->posit16 2.0))
15.0ms	(+.p16 (+.p16 alpha beta) (real->posit16 2.0))
7.0ms	(/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0)))
6.0ms	(+.p16 (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (real->posit16 1.0))

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 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))

simplify2.2s

Calls

5 calls:

Slowest

566.0ms	(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (real->posit16 1.0)) (real->posit16 2.0))
551.0ms	(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (real->posit16 1.0)) (real->posit16 2.0))
522.0ms	(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (real->posit16 1.0)) (real->posit16 2.0))
520.0ms	(/.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))

prune632.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.5b

localize380.0ms

Local error

Found 4 expressions with local error:

0.5b	(/.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))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

4 calls:

Slowest

11.0ms	(+.p16 alpha (+.p16 beta (real->posit16 2.0)))
11.0ms	(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 alpha (+.p16 beta (real->posit16 2.0)))) (real->posit16 1.0)) (real->posit16 2.0))
6.0ms	(+.p16 (/.p16 (-.p16 beta alpha) (+.p16 alpha (+.p16 beta (real->posit16 2.0)))) (real->posit16 1.0))
5.0ms	(/.p16 (-.p16 beta alpha) (+.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)))

simplify9.0ms

Calls

2 calls:

Slowest

6.0ms	(-.p16 (.p16 beta beta) (.p16 alpha alpha))
2.0ms	(real->posit16 2.0)

prune516.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.5b

localize699.0ms

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)))
0.3b	(+.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))
0.2b	(*.p16 (+.p16 (+.p16 alpha beta) (real->posit16 2.0)) (+.p16 beta alpha))
0.1b	(*.p16 (-.p16 beta alpha) (+.p16 alpha beta))

rewrite21.0ms

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

8.0ms	(*.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))
4.0ms	(/.p16 (.p16 (-.p16 beta alpha) (+.p16 alpha beta)) (.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 (-.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))
0.0ms	(*.p16 (+.p16 (+.p16 alpha beta) (real->posit16 2.0)) (+.p16 beta alpha))

simplify567.0ms

Calls

14 calls:

Slowest

125.0ms	(/.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))
106.0ms	(/.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))
105.0ms	(/.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))
100.0ms	(/.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))
35.0ms	(.p16 (-.p16 (.p16 beta beta) (*.p16 alpha alpha)) (+.p16 alpha beta))

prune1.4s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.4b

localize453.0ms

Local error

Found 4 expressions with local error:

0.5b	(/.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))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

4 calls:

Slowest

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

simplify1.9s

Calls

6 calls:

Slowest

596.0ms	(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 beta (+.p16 alpha (real->posit16 2.0)))) (real->posit16 1.0)) (real->posit16 2.0))
491.0ms	(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 beta (+.p16 alpha (real->posit16 2.0)))) (real->posit16 1.0)) (real->posit16 2.0))
437.0ms	(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 beta (+.p16 alpha (real->posit16 2.0)))) (real->posit16 1.0)) (real->posit16 2.0))
380.0ms	(/.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))

prune320.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.4b

regimes808.0ms

Accuracy

-∞% (-63.2b remaining)

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

bsearch3.0ms

end0.0ms

sample4.7s

Algorithm

halfpoints

Results