Details

sample560.0ms

Algorithm

halfpoints

Results

simplify5.3s

Counts: 1 → 1

prune402.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 3.2b

localize1.3s

Local error

Found 4 expressions with local error:

2.9b	(/.p16 (+.p16 (+.p16 (.p16 (.p16 (.p16 x x) (.p16 x x)) (+.p16 (.p16 (.p16 (.p16 x x) (.p16 x x)) (+.p16 (.p16 (.p16 x x) (real->posit16 0.0001789971)) (real->posit16 0.0005064034))) (+.p16 (real->posit16 0.0424060604) (.p16 (real->posit16 0.0072644182) (.p16 x x))))) (real->posit16 1)) (.p16 (.p16 x x) (real->posit16 0.1049934947))) (+.p16 (+.p16 (.p16 (.p16 (.p16 (.p16 x x) (.p16 x x)) (.p16 (.p16 x x) (.p16 x x))) (+.p16 (.p16 (.p16 x x) (+.p16 (.p16 (real->posit16 0.0001789971) (.p16 (real->posit16 2) (.p16 x x))) (real->posit16 0.0008327945))) (real->posit16 0.0140005442))) (.p16 (.p16 (.p16 x x) (.p16 x x)) (+.p16 (.p16 (.p16 x x) (real->posit16 0.0694555761)) (real->posit16 0.2909738639)))) (+.p16 (real->posit16 1) (.p16 (*.p16 x x) (real->posit16 0.7715471019)))))
0.8b	(.p16 (real->posit16 0.0001789971) (.p16 (real->posit16 2) (*.p16 x x)))
0.7b	(.p16 (.p16 x x) (real->posit16 0.0001789971))
0.5b	(.p16 (.p16 (.p16 x x) (.p16 x x)) (+.p16 (.p16 (.p16 x x) (real->posit16 0.0001789971)) (real->posit16 0.0005064034)))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

3×	`*-commutative`
2×	`associate-l`
1×	`distribute-rgt-in` `distribute-lft-in` `associate-r`

Counts

4 → 8

Calls

4 calls:

Slowest

20.0ms	(.p16 (.p16 (.p16 x x) (.p16 x x)) (+.p16 (.p16 (.p16 x x) (real->posit16 0.0001789971)) (real->posit16 0.0005064034)))
16.0ms	(/.p16 (+.p16 (+.p16 (.p16 (.p16 (.p16 x x) (.p16 x x)) (+.p16 (.p16 (.p16 (.p16 x x) (.p16 x x)) (+.p16 (.p16 (.p16 x x) (real->posit16 0.0001789971)) (real->posit16 0.0005064034))) (+.p16 (real->posit16 0.0424060604) (.p16 (real->posit16 0.0072644182) (.p16 x x))))) (real->posit16 1)) (.p16 (.p16 x x) (real->posit16 0.1049934947))) (+.p16 (+.p16 (.p16 (.p16 (.p16 (.p16 x x) (.p16 x x)) (.p16 (.p16 x x) (.p16 x x))) (+.p16 (.p16 (.p16 x x) (+.p16 (.p16 (real->posit16 0.0001789971) (.p16 (real->posit16 2) (.p16 x x))) (real->posit16 0.0008327945))) (real->posit16 0.0140005442))) (.p16 (.p16 (.p16 x x) (.p16 x x)) (+.p16 (.p16 (.p16 x x) (real->posit16 0.0694555761)) (real->posit16 0.2909738639)))) (+.p16 (real->posit16 1) (.p16 (*.p16 x x) (real->posit16 0.7715471019)))))
13.0ms	(.p16 (real->posit16 0.0001789971) (.p16 (real->posit16 2) (*.p16 x x)))
6.0ms	(.p16 (.p16 x x) (real->posit16 0.0001789971))

series0.0ms

Counts

4 → 4

Calls

4 calls:

Slowest

0.0ms	(/.p16 (+.p16 (+.p16 (.p16 (.p16 (.p16 x x) (.p16 x x)) (+.p16 (.p16 (.p16 (.p16 x x) (.p16 x x)) (+.p16 (.p16 (.p16 x x) (real->posit16 0.0001789971)) (real->posit16 0.0005064034))) (+.p16 (real->posit16 0.0424060604) (.p16 (real->posit16 0.0072644182) (.p16 x x))))) (real->posit16 1)) (.p16 (.p16 x x) (real->posit16 0.1049934947))) (+.p16 (+.p16 (.p16 (.p16 (.p16 (.p16 x x) (.p16 x x)) (.p16 (.p16 x x) (.p16 x x))) (+.p16 (.p16 (.p16 x x) (+.p16 (.p16 (real->posit16 0.0001789971) (.p16 (real->posit16 2) (.p16 x x))) (real->posit16 0.0008327945))) (real->posit16 0.0140005442))) (.p16 (.p16 (.p16 x x) (.p16 x x)) (+.p16 (.p16 (.p16 x x) (real->posit16 0.0694555761)) (real->posit16 0.2909738639)))) (+.p16 (real->posit16 1) (.p16 (*.p16 x x) (real->posit16 0.7715471019)))))
0.0ms	(.p16 (.p16 (.p16 x x) (.p16 x x)) (+.p16 (.p16 (.p16 x x) (real->posit16 0.0001789971)) (real->posit16 0.0005064034)))
0.0ms	(.p16 (real->posit16 0.0001789971) (.p16 (real->posit16 2) (*.p16 x x)))
0.0ms	(.p16 (.p16 x x) (real->posit16 0.0001789971))

simplify680.0ms

Counts: 12 → 12

prune2.3s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 2.9b

localize738.0ms

Local error

Found 4 expressions with local error:

3.0b	(/.p16 (.p16 x (+.p16 (+.p16 (real->posit16 1) (.p16 (real->posit16 0.1049934947) (.p16 x x))) (.p16 (.p16 (.p16 x x) (.p16 x x)) (+.p16 (.p16 (.p16 x x) (+.p16 (real->posit16 0.0072644182) (+.p16 (.p16 (.p16 (.p16 x x) (.p16 x x)) (real->posit16 0.0001789971)) (.p16 (.p16 x x) (real->posit16 0.0005064034))))) (real->posit16 0.0424060604))))) (+.p16 (.p16 (.p16 (.p16 x x) (.p16 x x)) (+.p16 (+.p16 (.p16 (real->posit16 0.0694555761) (.p16 x x)) (real->posit16 0.2909738639)) (.p16 (.p16 (.p16 x x) (.p16 x x)) (+.p16 (.p16 (.p16 x x) (+.p16 (.p16 (real->posit16 0.0001789971) (.p16 (.p16 x x) (real->posit16 2))) (real->posit16 0.0008327945))) (real->posit16 0.0140005442))))) (+.p16 (.p16 (real->posit16 0.7715471019) (.p16 x x)) (real->posit16 1))))
1.1b	(.p16 (.p16 (.p16 x x) (.p16 x x)) (real->posit16 0.0001789971))
0.9b	(.p16 (.p16 x x) (real->posit16 0.0005064034))
0.8b	(.p16 (real->posit16 0.0001789971) (.p16 (*.p16 x x) (real->posit16 2)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 7

Calls

4 calls:

Slowest

10.0ms	(/.p16 (.p16 x (+.p16 (+.p16 (real->posit16 1) (.p16 (real->posit16 0.1049934947) (.p16 x x))) (.p16 (.p16 (.p16 x x) (.p16 x x)) (+.p16 (.p16 (.p16 x x) (+.p16 (real->posit16 0.0072644182) (+.p16 (.p16 (.p16 (.p16 x x) (.p16 x x)) (real->posit16 0.0001789971)) (.p16 (.p16 x x) (real->posit16 0.0005064034))))) (real->posit16 0.0424060604))))) (+.p16 (.p16 (.p16 (.p16 x x) (.p16 x x)) (+.p16 (+.p16 (.p16 (real->posit16 0.0694555761) (.p16 x x)) (real->posit16 0.2909738639)) (.p16 (.p16 (.p16 x x) (.p16 x x)) (+.p16 (.p16 (.p16 x x) (+.p16 (.p16 (real->posit16 0.0001789971) (.p16 (.p16 x x) (real->posit16 2))) (real->posit16 0.0008327945))) (real->posit16 0.0140005442))))) (+.p16 (.p16 (real->posit16 0.7715471019) (.p16 x x)) (real->posit16 1))))
9.0ms	(.p16 (.p16 (.p16 x x) (.p16 x x)) (real->posit16 0.0001789971))
6.0ms	(.p16 (real->posit16 0.0001789971) (.p16 (*.p16 x x) (real->posit16 2)))
4.0ms	(.p16 (.p16 x x) (real->posit16 0.0005064034))

series0.0ms

Counts

4 → 4

Calls

4 calls:

Slowest

0.0ms	(/.p16 (.p16 x (+.p16 (+.p16 (real->posit16 1) (.p16 (real->posit16 0.1049934947) (.p16 x x))) (.p16 (.p16 (.p16 x x) (.p16 x x)) (+.p16 (.p16 (.p16 x x) (+.p16 (real->posit16 0.0072644182) (+.p16 (.p16 (.p16 (.p16 x x) (.p16 x x)) (real->posit16 0.0001789971)) (.p16 (.p16 x x) (real->posit16 0.0005064034))))) (real->posit16 0.0424060604))))) (+.p16 (.p16 (.p16 (.p16 x x) (.p16 x x)) (+.p16 (+.p16 (.p16 (real->posit16 0.0694555761) (.p16 x x)) (real->posit16 0.2909738639)) (.p16 (.p16 (.p16 x x) (.p16 x x)) (+.p16 (.p16 (.p16 x x) (+.p16 (.p16 (real->posit16 0.0001789971) (.p16 (.p16 x x) (real->posit16 2))) (real->posit16 0.0008327945))) (real->posit16 0.0140005442))))) (+.p16 (.p16 (real->posit16 0.7715471019) (.p16 x x)) (real->posit16 1))))
0.0ms	(.p16 (.p16 (.p16 x x) (.p16 x x)) (real->posit16 0.0001789971))
0.0ms	(.p16 (real->posit16 0.0001789971) (.p16 (*.p16 x x) (real->posit16 2)))
0.0ms	(.p16 (.p16 x x) (real->posit16 0.0005064034))

simplify1.1s

Counts: 11 → 11

prune2.4s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 2.7b

localize786.0ms

Local error

Found 4 expressions with local error:

3.0b	(/.p16 (.p16 x (+.p16 (+.p16 (real->posit16 1) (.p16 (real->posit16 0.1049934947) (.p16 x x))) (.p16 (.p16 (.p16 x x) (.p16 x x)) (+.p16 (.p16 (.p16 x x) (+.p16 (real->posit16 0.0072644182) (+.p16 (.p16 (.p16 (.p16 x x) (.p16 x x)) (real->posit16 0.0001789971)) (.p16 x (.p16 x (real->posit16 0.0005064034)))))) (real->posit16 0.0424060604))))) (+.p16 (.p16 (.p16 (.p16 x x) (.p16 x x)) (+.p16 (+.p16 (.p16 (real->posit16 0.0694555761) (.p16 x x)) (real->posit16 0.2909738639)) (.p16 (.p16 (.p16 x x) (.p16 x x)) (+.p16 (.p16 (.p16 x x) (+.p16 (.p16 (real->posit16 0.0001789971) (.p16 (.p16 x x) (real->posit16 2))) (real->posit16 0.0008327945))) (real->posit16 0.0140005442))))) (+.p16 (.p16 (real->posit16 0.7715471019) (.p16 x x)) (real->posit16 1))))
1.1b	(.p16 (.p16 (.p16 x x) (.p16 x x)) (real->posit16 0.0001789971))
0.8b	(.p16 (real->posit16 0.0001789971) (.p16 (*.p16 x x) (real->posit16 2)))
0.6b	(*.p16 x (real->posit16 0.0005064034))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

3×	`*-commutative`
1×	`associate-r` `associate-l` `associate-/l*`

Counts

4 → 6

Calls

4 calls:

Slowest

15.0ms	(.p16 (.p16 (.p16 x x) (.p16 x x)) (real->posit16 0.0001789971))
10.0ms	(/.p16 (.p16 x (+.p16 (+.p16 (real->posit16 1) (.p16 (real->posit16 0.1049934947) (.p16 x x))) (.p16 (.p16 (.p16 x x) (.p16 x x)) (+.p16 (.p16 (.p16 x x) (+.p16 (real->posit16 0.0072644182) (+.p16 (.p16 (.p16 (.p16 x x) (.p16 x x)) (real->posit16 0.0001789971)) (.p16 x (.p16 x (real->posit16 0.0005064034)))))) (real->posit16 0.0424060604))))) (+.p16 (.p16 (.p16 (.p16 x x) (.p16 x x)) (+.p16 (+.p16 (.p16 (real->posit16 0.0694555761) (.p16 x x)) (real->posit16 0.2909738639)) (.p16 (.p16 (.p16 x x) (.p16 x x)) (+.p16 (.p16 (.p16 x x) (+.p16 (.p16 (real->posit16 0.0001789971) (.p16 (.p16 x x) (real->posit16 2))) (real->posit16 0.0008327945))) (real->posit16 0.0140005442))))) (+.p16 (.p16 (real->posit16 0.7715471019) (.p16 x x)) (real->posit16 1))))
6.0ms	(.p16 (real->posit16 0.0001789971) (.p16 (*.p16 x x) (real->posit16 2)))
2.0ms	(*.p16 x (real->posit16 0.0005064034))

series0.0ms

Counts

4 → 4

Calls

4 calls:

Slowest

0.0ms	(/.p16 (.p16 x (+.p16 (+.p16 (real->posit16 1) (.p16 (real->posit16 0.1049934947) (.p16 x x))) (.p16 (.p16 (.p16 x x) (.p16 x x)) (+.p16 (.p16 (.p16 x x) (+.p16 (real->posit16 0.0072644182) (+.p16 (.p16 (.p16 (.p16 x x) (.p16 x x)) (real->posit16 0.0001789971)) (.p16 x (.p16 x (real->posit16 0.0005064034)))))) (real->posit16 0.0424060604))))) (+.p16 (.p16 (.p16 (.p16 x x) (.p16 x x)) (+.p16 (+.p16 (.p16 (real->posit16 0.0694555761) (.p16 x x)) (real->posit16 0.2909738639)) (.p16 (.p16 (.p16 x x) (.p16 x x)) (+.p16 (.p16 (.p16 x x) (+.p16 (.p16 (real->posit16 0.0001789971) (.p16 (.p16 x x) (real->posit16 2))) (real->posit16 0.0008327945))) (real->posit16 0.0140005442))))) (+.p16 (.p16 (real->posit16 0.7715471019) (.p16 x x)) (real->posit16 1))))
0.0ms	(.p16 (real->posit16 0.0001789971) (.p16 (*.p16 x x) (real->posit16 2)))
0.0ms	(*.p16 x (real->posit16 0.0005064034))
0.0ms	(.p16 (.p16 (.p16 x x) (.p16 x x)) (real->posit16 0.0001789971))

simplify1.0s

Counts: 10 → 10

prune2.3s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 2.7b

localize1.0s

Local error

Found 4 expressions with local error:

2.7b	(.p16 (/.p16 x (+.p16 (real->posit16 1) (.p16 (.p16 x x) (+.p16 (real->posit16 0.7715471019) (.p16 (.p16 x x) (+.p16 (.p16 (.p16 x x) (+.p16 (.p16 (+.p16 (real->posit16 0.0140005442) (.p16 (+.p16 (.p16 (.p16 (.p16 x x) (real->posit16 0.0001789971)) (real->posit16 2)) (real->posit16 0.0008327945)) (.p16 x x))) (.p16 x x)) (real->posit16 0.0694555761))) (real->posit16 0.2909738639))))))) (+.p16 (.p16 (+.p16 (real->posit16 0.1049934947) (.p16 (+.p16 (real->posit16 0.0424060604) (.p16 (+.p16 (.p16 (.p16 x x) (+.p16 (.p16 (.p16 x x) (real->posit16 0.0001789971)) (real->posit16 0.0005064034))) (real->posit16 0.0072644182)) (.p16 x x))) (.p16 x x))) (.p16 x x)) (real->posit16 1)))
0.8b	(/.p16 x (+.p16 (real->posit16 1) (.p16 (.p16 x x) (+.p16 (real->posit16 0.7715471019) (.p16 (.p16 x x) (+.p16 (.p16 (.p16 x x) (+.p16 (.p16 (+.p16 (real->posit16 0.0140005442) (.p16 (+.p16 (.p16 (.p16 (.p16 x x) (real->posit16 0.0001789971)) (real->posit16 2)) (real->posit16 0.0008327945)) (.p16 x x))) (*.p16 x x)) (real->posit16 0.0694555761))) (real->posit16 0.2909738639)))))))
0.7b	(.p16 (.p16 x x) (real->posit16 0.0001789971))
0.7b	(.p16 (.p16 x x) (real->posit16 0.0001789971))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

3×	`*-commutative`
2×	`associate-l`
1×	`distribute-rgt-in` `distribute-lft-in` `associate-*l/`

Counts

4 → 8

Calls

4 calls:

Slowest

4.0ms	(.p16 (.p16 x x) (real->posit16 0.0001789971))
3.0ms	(.p16 (.p16 x x) (real->posit16 0.0001789971))
3.0ms	(.p16 (/.p16 x (+.p16 (real->posit16 1) (.p16 (.p16 x x) (+.p16 (real->posit16 0.7715471019) (.p16 (.p16 x x) (+.p16 (.p16 (.p16 x x) (+.p16 (.p16 (+.p16 (real->posit16 0.0140005442) (.p16 (+.p16 (.p16 (.p16 (.p16 x x) (real->posit16 0.0001789971)) (real->posit16 2)) (real->posit16 0.0008327945)) (.p16 x x))) (.p16 x x)) (real->posit16 0.0694555761))) (real->posit16 0.2909738639))))))) (+.p16 (.p16 (+.p16 (real->posit16 0.1049934947) (.p16 (+.p16 (real->posit16 0.0424060604) (.p16 (+.p16 (.p16 (.p16 x x) (+.p16 (.p16 (.p16 x x) (real->posit16 0.0001789971)) (real->posit16 0.0005064034))) (real->posit16 0.0072644182)) (.p16 x x))) (.p16 x x))) (.p16 x x)) (real->posit16 1)))
2.0ms	(/.p16 x (+.p16 (real->posit16 1) (.p16 (.p16 x x) (+.p16 (real->posit16 0.7715471019) (.p16 (.p16 x x) (+.p16 (.p16 (.p16 x x) (+.p16 (.p16 (+.p16 (real->posit16 0.0140005442) (.p16 (+.p16 (.p16 (.p16 (.p16 x x) (real->posit16 0.0001789971)) (real->posit16 2)) (real->posit16 0.0008327945)) (.p16 x x))) (*.p16 x x)) (real->posit16 0.0694555761))) (real->posit16 0.2909738639)))))))

series0.0ms

Counts

4 → 4

Calls

4 calls:

Slowest

0.0ms	(.p16 (/.p16 x (+.p16 (real->posit16 1) (.p16 (.p16 x x) (+.p16 (real->posit16 0.7715471019) (.p16 (.p16 x x) (+.p16 (.p16 (.p16 x x) (+.p16 (.p16 (+.p16 (real->posit16 0.0140005442) (.p16 (+.p16 (.p16 (.p16 (.p16 x x) (real->posit16 0.0001789971)) (real->posit16 2)) (real->posit16 0.0008327945)) (.p16 x x))) (.p16 x x)) (real->posit16 0.0694555761))) (real->posit16 0.2909738639))))))) (+.p16 (.p16 (+.p16 (real->posit16 0.1049934947) (.p16 (+.p16 (real->posit16 0.0424060604) (.p16 (+.p16 (.p16 (.p16 x x) (+.p16 (.p16 (.p16 x x) (real->posit16 0.0001789971)) (real->posit16 0.0005064034))) (real->posit16 0.0072644182)) (.p16 x x))) (.p16 x x))) (.p16 x x)) (real->posit16 1)))
0.0ms	(/.p16 x (+.p16 (real->posit16 1) (.p16 (.p16 x x) (+.p16 (real->posit16 0.7715471019) (.p16 (.p16 x x) (+.p16 (.p16 (.p16 x x) (+.p16 (.p16 (+.p16 (real->posit16 0.0140005442) (.p16 (+.p16 (.p16 (.p16 (.p16 x x) (real->posit16 0.0001789971)) (real->posit16 2)) (real->posit16 0.0008327945)) (.p16 x x))) (*.p16 x x)) (real->posit16 0.0694555761))) (real->posit16 0.2909738639)))))))
0.0ms	(.p16 (.p16 x x) (real->posit16 0.0001789971))
0.0ms	(.p16 (.p16 x x) (real->posit16 0.0001789971))

simplify3.1s

Counts: 12 → 12

prune2.0s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 2.7b

regimes830.0ms

Accuracy

-∞% (-60.6b remaining)

Error of 3.4b against oracle of 64.0b and baseline of 64.0b

bsearch20.0ms

end0.0ms

sample5.1s

Algorithm

halfpoints

Results