Details

sample371.0ms

Algorithm

halfpoints

Results

simplify618.0ms

Calls

1 calls:

Slowest

618.0ms

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

prune91.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.7b

localize273.0ms

Local error

Found 4 expressions with local error:

0.6b	(/.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

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

Calls

4 calls:

Slowest

15.0ms	(+.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))
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))

simplify1.8s

Calls

5 calls:

Slowest

552.0ms	(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (real->posit16 1.0)) (real->posit16 2.0))
432.0ms	(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (real->posit16 1.0)) (real->posit16 2.0))
413.0ms	(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (real->posit16 1.0)) (real->posit16 2.0))
394.0ms	(/.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))

prune584.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.6b

localize248.0ms

Local error

Found 4 expressions with local error:

0.6b	(/.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))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

4 calls:

Slowest

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

prune498.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.6b

localize246.0ms

Local error

Found 4 expressions with local error:

0.6b	(/.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

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

Calls

4 calls:

Slowest

17.0ms	(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 beta (+.p16 alpha (real->posit16 2.0)))) (real->posit16 1.0)) (real->posit16 2.0))
6.0ms	(+.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))))
4.0ms	(+.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)))

simplify9.0ms

Calls

2 calls:

Slowest

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

prune492.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.6b

localize424.0ms

Local error

Found 4 expressions with local error:

1.1b	(/.p16 (.p16 (-.p16 beta alpha) (+.p16 alpha beta)) (.p16 (+.p16 alpha (+.p16 beta (real->posit16 2.0))) (+.p16 beta alpha)))
0.4b	(+.p16 (/.p16 (.p16 (-.p16 beta alpha) (+.p16 alpha beta)) (.p16 (+.p16 alpha (+.p16 beta (real->posit16 2.0))) (+.p16 beta alpha))) (real->posit16 1.0))
0.2b	(*.p16 (+.p16 alpha (+.p16 beta (real->posit16 2.0))) (+.p16 beta alpha))
0.2b	(+.p16 alpha (+.p16 beta (real->posit16 2.0)))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

4 calls:

Slowest

34.0ms	(+.p16 (/.p16 (.p16 (-.p16 beta alpha) (+.p16 alpha beta)) (.p16 (+.p16 alpha (+.p16 beta (real->posit16 2.0))) (+.p16 beta alpha))) (real->posit16 1.0))
13.0ms	(/.p16 (.p16 (-.p16 beta alpha) (+.p16 alpha beta)) (.p16 (+.p16 alpha (+.p16 beta (real->posit16 2.0))) (+.p16 beta alpha)))
6.0ms	(*.p16 (+.p16 alpha (+.p16 beta (real->posit16 2.0))) (+.p16 beta alpha))
4.0ms	(+.p16 alpha (+.p16 beta (real->posit16 2.0)))

series0.0ms

Calls

4 calls:

Slowest

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

simplify813.0ms

Calls

22 calls:

Slowest

146.0ms	(/.p16 (+.p16 (/.p16 (.p16 (-.p16 beta alpha) (+.p16 alpha beta)) (.p16 (+.p16 alpha (+.p16 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 alpha (+.p16 beta (real->posit16 2.0))) (+.p16 beta alpha))) (real->posit16 1.0)) (real->posit16 2.0))
121.0ms	(/.p16 (+.p16 (/.p16 (.p16 (-.p16 beta alpha) (+.p16 alpha beta)) (.p16 (+.p16 alpha (+.p16 beta (real->posit16 2.0))) (+.p16 beta alpha))) (real->posit16 1.0)) (real->posit16 2.0))
77.0ms	(/.p16 (+.p16 (/.p16 (.p16 (-.p16 beta alpha) (+.p16 alpha beta)) (.p16 (+.p16 alpha (+.p16 beta (real->posit16 2.0))) (+.p16 beta alpha))) (real->posit16 1.0)) (real->posit16 2.0))
68.0ms	(/.p16 (-.p16 beta alpha) (+.p16 alpha (+.p16 beta (real->posit16 2.0))))

prune1.4s

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.5b

regimes742.0ms

Accuracy

-∞% (-63.3b remaining)

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

bsearch3.0ms

end0.0ms

sample6.7s

Algorithm

halfpoints

Results