Details

sample188.0ms

Algorithm

halfpoints

Results

simplify314.0ms

Calls

1 calls:

Slowest

314.0ms

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

prune51.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.9b

localize248.0ms

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

rewrite15.0ms

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))
3.0ms	(/.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 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))

simplify1.3s

Calls

5 calls:

Slowest

381.0ms	(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (real->posit16 1.0)) (real->posit16 2.0))
330.0ms	(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (real->posit16 1.0)) (real->posit16 2.0))
311.0ms	(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (real->posit16 1.0)) (real->posit16 2.0))
305.0ms	(/.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))

prune606.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.8b

localize290.0ms

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))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

4 calls:

Slowest

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

13.0ms	(-.p16 (.p16 beta beta) (.p16 alpha alpha))
2.0ms	(real->posit16 2.0)

prune604.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.8b

localize357.0ms

Local error

Found 4 expressions with local error:

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

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

4 calls:

Slowest

11.0ms	(+.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))
8.0ms	(/.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)))

simplify656.0ms

Calls

12 calls:

Slowest

128.0ms	(/.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))
113.0ms	(/.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))
76.0ms	(/.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))
75.0ms	(/.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))
75.0ms	(.p16 (-.p16 (.p16 beta beta) (*.p16 alpha alpha)) (+.p16 alpha beta))

prune1.3s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.7b

localize199.0ms

Local error

Found 4 expressions with local error:

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

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

3×	`p16-distribute-lft-out` `distribute-lft-out`
2×	`+-commutative` `associate-/r*` `p16-times-frac`
1×	`associate-l/` `p16-flip--` `-commutative` `associate-/l*` `associate-/l/`

Calls

4 calls:

Slowest

9.0ms	(*.p16 (+.p16 alpha (+.p16 beta (real->posit16 2.0))) beta)
6.0ms	(+.p16 (/.p16 (.p16 (-.p16 beta alpha) (+.p16 alpha beta)) (+.p16 (.p16 (+.p16 alpha (+.p16 beta (real->posit16 2.0))) beta) (*.p16 (+.p16 alpha (+.p16 beta (real->posit16 2.0))) alpha))) (real->posit16 1.0))
3.0ms	(/.p16 (.p16 (-.p16 beta alpha) (+.p16 alpha beta)) (+.p16 (.p16 (+.p16 alpha (+.p16 beta (real->posit16 2.0))) beta) (*.p16 (+.p16 alpha (+.p16 beta (real->posit16 2.0))) alpha)))
3.0ms	(+.p16 (.p16 (+.p16 alpha (+.p16 beta (real->posit16 2.0))) beta) (.p16 (+.p16 alpha (+.p16 beta (real->posit16 2.0))) alpha))

series0.0ms

Calls

4 calls:

Slowest

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

simplify271.0ms

Calls

16 calls:

Slowest

62.0ms	(/.p16 (-.p16 beta alpha) (+.p16 alpha (+.p16 beta (real->posit16 2.0))))
58.0ms	(/.p16 (-.p16 beta alpha) (+.p16 alpha (+.p16 beta (real->posit16 2.0))))
34.0ms	(.p16 (-.p16 (.p16 beta beta) (*.p16 alpha alpha)) (+.p16 alpha beta))
22.0ms	(*.p16 (+.p16 alpha (+.p16 beta (real->posit16 2.0))) alpha)
21.0ms	(*.p16 (+.p16 alpha (+.p16 beta (real->posit16 2.0))) alpha)

prune1.0s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.7b

regimes566.0ms

Accuracy

-∞% (-63.3b remaining)

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

bsearch2.0ms

end0.0ms

sample7.0s

Algorithm

halfpoints

Results