Details

sample423.0ms

Algorithm

halfpoints

Results

simplify105.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

105.0ms

(/.p16 (+.p16 (/.p16 (/.p16 (*.p16 (+.p16 alpha beta) (-.p16 beta alpha)) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i))) (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (real->posit16 2.0))) (real->posit16 1.0)) (real->posit16 2.0))

prune86.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.7b

localize309.0ms

Local error

Found 4 expressions with local error:

0.7b	(/.p16 (.p16 (+.p16 alpha beta) (-.p16 beta alpha)) (+.p16 (+.p16 alpha beta) (.p16 (real->posit16 2) i)))
0.5b	(/.p16 (/.p16 (.p16 (+.p16 alpha beta) (-.p16 beta alpha)) (+.p16 (+.p16 alpha beta) (.p16 (real->posit16 2) i))) (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (real->posit16 2.0)))
0.1b	(+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i))
0.1b	(+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i))

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 7

Calls

4 calls:

Slowest

53.0ms	(/.p16 (/.p16 (.p16 (+.p16 alpha beta) (-.p16 beta alpha)) (+.p16 (+.p16 alpha beta) (.p16 (real->posit16 2) i))) (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (real->posit16 2.0)))
22.0ms	(/.p16 (.p16 (+.p16 alpha beta) (-.p16 beta alpha)) (+.p16 (+.p16 alpha beta) (.p16 (real->posit16 2) i)))
10.0ms	(+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i))
9.0ms	(+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i))

series0.0ms

Counts

4 → 4

Calls

4 calls:

Slowest

0.0ms	(/.p16 (.p16 (+.p16 alpha beta) (-.p16 beta alpha)) (+.p16 (+.p16 alpha beta) (.p16 (real->posit16 2) i)))
0.0ms	(/.p16 (/.p16 (.p16 (+.p16 alpha beta) (-.p16 beta alpha)) (+.p16 (+.p16 alpha beta) (.p16 (real->posit16 2) i))) (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (real->posit16 2.0)))
0.0ms	(+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i))
0.0ms	(+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i))

simplify463.0ms

Counts

7 → 11

Calls

7 calls:

Slowest

130.0ms	(/.p16 (+.p16 (/.p16 (/.p16 (.p16 (+.p16 alpha beta) (-.p16 beta alpha)) (+.p16 (+.p16 alpha beta) (.p16 (real->posit16 2) i))) (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (real->posit16 2.0))) (real->posit16 1.0)) (real->posit16 2.0))
116.0ms	(/.p16 (+.p16 (/.p16 (/.p16 (.p16 (+.p16 alpha beta) (-.p16 beta alpha)) (+.p16 (+.p16 alpha beta) (.p16 (real->posit16 2) i))) (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (real->posit16 2.0))) (real->posit16 1.0)) (real->posit16 2.0))
92.0ms	(/.p16 (+.p16 (/.p16 (/.p16 (.p16 (+.p16 alpha beta) (-.p16 beta alpha)) (+.p16 (+.p16 alpha beta) (.p16 (real->posit16 2) i))) (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (real->posit16 2.0))) (real->posit16 1.0)) (real->posit16 2.0))
90.0ms	(/.p16 (+.p16 (/.p16 (/.p16 (.p16 (+.p16 alpha beta) (-.p16 beta alpha)) (+.p16 (+.p16 alpha beta) (.p16 (real->posit16 2) i))) (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (real->posit16 2.0))) (real->posit16 1.0)) (real->posit16 2.0))
27.0ms	(.p16 (+.p16 alpha beta) (-.p16 (.p16 beta beta) (*.p16 alpha alpha)))

prune381.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.4b

localize256.0ms

Local error

Found 4 expressions with local error:

0.6b	(/.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (-.p16 beta alpha))
0.5b	(/.p16 (/.p16 (+.p16 alpha beta) (/.p16 (+.p16 (+.p16 alpha beta) (.p16 (real->posit16 2) i)) (-.p16 beta alpha))) (+.p16 (+.p16 (+.p16 alpha beta) (.p16 (real->posit16 2) i)) (real->posit16 2.0)))
0.3b	(/.p16 (+.p16 alpha beta) (/.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (-.p16 beta alpha)))
0.1b	(+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i))

rewrite133.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 7

Calls

4 calls:

Slowest

88.0ms	(/.p16 (/.p16 (+.p16 alpha beta) (/.p16 (+.p16 (+.p16 alpha beta) (.p16 (real->posit16 2) i)) (-.p16 beta alpha))) (+.p16 (+.p16 (+.p16 alpha beta) (.p16 (real->posit16 2) i)) (real->posit16 2.0)))
17.0ms	(/.p16 (+.p16 alpha beta) (/.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (-.p16 beta alpha)))
14.0ms	(/.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (-.p16 beta alpha))
14.0ms	(+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i))

series0.0ms

Counts

4 → 4

Calls

4 calls:

Slowest

0.0ms	(/.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (-.p16 beta alpha))
0.0ms	(/.p16 (/.p16 (+.p16 alpha beta) (/.p16 (+.p16 (+.p16 alpha beta) (.p16 (real->posit16 2) i)) (-.p16 beta alpha))) (+.p16 (+.p16 (+.p16 alpha beta) (.p16 (real->posit16 2) i)) (real->posit16 2.0)))
0.0ms	(/.p16 (+.p16 alpha beta) (/.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (-.p16 beta alpha)))
0.0ms	(+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i))

simplify24.0ms

Counts

9 → 11

Calls

9 calls:

Slowest

15.0ms	(/.p16 (+.p16 alpha beta) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)))
1.0ms	(-.p16 beta alpha)
1.0ms	(+.p16 beta alpha)
1.0ms	(+.p16 alpha beta)
1.0ms	(+.p16 beta alpha)

prune519.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.3b

localize297.0ms

Local error

Found 4 expressions with local error:

0.6b	(/.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (-.p16 beta alpha))
0.5b	(/.p16 (/.p16 (+.p16 alpha beta) (/.p16 (+.p16 (+.p16 alpha beta) (.p16 (real->posit16 2) i)) (-.p16 beta alpha))) (+.p16 (+.p16 alpha (+.p16 beta (.p16 (real->posit16 2) i))) (real->posit16 2.0)))
0.3b	(/.p16 (+.p16 alpha beta) (/.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (-.p16 beta alpha)))
0.2b	(+.p16 alpha (+.p16 beta (*.p16 (real->posit16 2) i)))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 7

Calls

4 calls:

Slowest

24.0ms	(/.p16 (/.p16 (+.p16 alpha beta) (/.p16 (+.p16 (+.p16 alpha beta) (.p16 (real->posit16 2) i)) (-.p16 beta alpha))) (+.p16 (+.p16 alpha (+.p16 beta (.p16 (real->posit16 2) i))) (real->posit16 2.0)))
21.0ms	(/.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (-.p16 beta alpha))
9.0ms	(/.p16 (+.p16 alpha beta) (/.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (-.p16 beta alpha)))
4.0ms	(+.p16 alpha (+.p16 beta (*.p16 (real->posit16 2) i)))

series0.0ms

Counts

4 → 4

Calls

4 calls:

Slowest

0.0ms	(/.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (-.p16 beta alpha))
0.0ms	(/.p16 (/.p16 (+.p16 alpha beta) (/.p16 (+.p16 (+.p16 alpha beta) (.p16 (real->posit16 2) i)) (-.p16 beta alpha))) (+.p16 (+.p16 alpha (+.p16 beta (.p16 (real->posit16 2) i))) (real->posit16 2.0)))
0.0ms	(/.p16 (+.p16 alpha beta) (/.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (-.p16 beta alpha)))
0.0ms	(+.p16 alpha (+.p16 beta (*.p16 (real->posit16 2) i)))

simplify27.0ms

Counts

6 → 11

Calls

6 calls:

Slowest

16.0ms	(/.p16 (+.p16 alpha beta) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)))
3.0ms	(+.p16 beta alpha)
3.0ms	(*.p16 (real->posit16 2) i)
2.0ms	(-.p16 beta alpha)
1.0ms	(+.p16 alpha beta)

prune402.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.3b

localize337.0ms

Local error

Found 4 expressions with local error:

0.6b	(/.p16 (+.p16 alpha beta) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)))
0.5b	(/.p16 (+.p16 (+.p16 alpha (+.p16 beta (*.p16 (real->posit16 2) i))) (real->posit16 2.0)) (-.p16 beta alpha))
0.2b	(/.p16 (/.p16 (+.p16 alpha beta) (+.p16 (+.p16 alpha beta) (.p16 (real->posit16 2) i))) (/.p16 (+.p16 (+.p16 alpha (+.p16 beta (.p16 (real->posit16 2) i))) (real->posit16 2.0)) (-.p16 beta alpha)))
0.2b	(+.p16 alpha (+.p16 beta (*.p16 (real->posit16 2) i)))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 6

Calls

4 calls:

Slowest

19.0ms	(/.p16 (+.p16 (+.p16 alpha (+.p16 beta (*.p16 (real->posit16 2) i))) (real->posit16 2.0)) (-.p16 beta alpha))
16.0ms	(/.p16 (/.p16 (+.p16 alpha beta) (+.p16 (+.p16 alpha beta) (.p16 (real->posit16 2) i))) (/.p16 (+.p16 (+.p16 alpha (+.p16 beta (.p16 (real->posit16 2) i))) (real->posit16 2.0)) (-.p16 beta alpha)))
8.0ms	(/.p16 (+.p16 alpha beta) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)))
5.0ms	(+.p16 alpha (+.p16 beta (*.p16 (real->posit16 2) i)))

series0.0ms

Counts

4 → 4

Calls

4 calls:

Slowest

0.0ms	(/.p16 (+.p16 alpha beta) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)))
0.0ms	(/.p16 (/.p16 (+.p16 alpha beta) (+.p16 (+.p16 alpha beta) (.p16 (real->posit16 2) i))) (/.p16 (+.p16 (+.p16 alpha (+.p16 beta (.p16 (real->posit16 2) i))) (real->posit16 2.0)) (-.p16 beta alpha)))
0.0ms	(/.p16 (+.p16 (+.p16 alpha (+.p16 beta (*.p16 (real->posit16 2) i))) (real->posit16 2.0)) (-.p16 beta alpha))
0.0ms	(+.p16 alpha (+.p16 beta (*.p16 (real->posit16 2) i)))

simplify66.0ms

Counts

9 → 10

Calls

9 calls:

Slowest

17.0ms	(/.p16 (+.p16 alpha beta) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)))
14.0ms	(/.p16 (+.p16 alpha beta) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)))
14.0ms	(/.p16 (+.p16 alpha beta) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)))
14.0ms	(/.p16 (+.p16 alpha beta) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)))
3.0ms	(*.p16 (real->posit16 2) i)

prune255.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.3b

regimes605.0ms

Accuracy

-∞% (-63.4b remaining)

Error of 0.6b against oracle of 64.0b and baseline of 64.0b

bsearch4.0ms

end0.0ms

sample15.2s

Algorithm

halfpoints

Results