Details

sample348.0ms

Algorithm

halfpoints

Results

simplify824.0ms

Counts: 1 → 1

prune269.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 3.4b

localize835.0ms

Local error

Found 4 expressions with local error:

3.2b	(/.p16 (+.p16 (+.p16 (.p16 (.p16 (.p16 (.p16 x x) (.p16 x x)) (.p16 (.p16 x x) (.p16 x x))) (+.p16 (real->posit16 0.0005064034) (.p16 (.p16 x x) (real->posit16 0.0001789971)))) (+.p16 (real->posit16 1) (.p16 (.p16 x x) (real->posit16 0.1049934947)))) (.p16 (.p16 (.p16 x x) (.p16 x x)) (+.p16 (.p16 (real->posit16 0.0072644182) (.p16 x x)) (real->posit16 0.0424060604)))) (+.p16 (.p16 (.p16 x x) (+.p16 (.p16 (.p16 (.p16 x x) (.p16 x x)) (+.p16 (real->posit16 0.0694555761) (.p16 (real->posit16 0.0140005442) (.p16 x x)))) (.p16 (.p16 (.p16 (.p16 x x) (.p16 x x)) (.p16 (.p16 x x) (.p16 x x))) (+.p16 (real->posit16 0.0008327945) (.p16 (real->posit16 2) (.p16 (.p16 x x) (real->posit16 0.0001789971))))))) (+.p16 (.p16 (.p16 (.p16 x x) (.p16 x x)) (real->posit16 0.2909738639)) (+.p16 (real->posit16 1) (.p16 (*.p16 x x) (real->posit16 0.7715471019))))))
0.8b	(.p16 (.p16 (.p16 (.p16 x x) (.p16 x x)) (.p16 (.p16 x x) (.p16 x x))) (+.p16 (real->posit16 0.0005064034) (.p16 (.p16 x x) (real->posit16 0.0001789971))))
0.7b	(.p16 (real->posit16 0.0140005442) (.p16 x x))
0.7b	(.p16 (.p16 x x) (real->posit16 0.0001789971))

rewrite154.0ms

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

98.0ms	(/.p16 (+.p16 (+.p16 (.p16 (.p16 (.p16 (.p16 x x) (.p16 x x)) (.p16 (.p16 x x) (.p16 x x))) (+.p16 (real->posit16 0.0005064034) (.p16 (.p16 x x) (real->posit16 0.0001789971)))) (+.p16 (real->posit16 1) (.p16 (.p16 x x) (real->posit16 0.1049934947)))) (.p16 (.p16 (.p16 x x) (.p16 x x)) (+.p16 (.p16 (real->posit16 0.0072644182) (.p16 x x)) (real->posit16 0.0424060604)))) (+.p16 (.p16 (.p16 x x) (+.p16 (.p16 (.p16 (.p16 x x) (.p16 x x)) (+.p16 (real->posit16 0.0694555761) (.p16 (real->posit16 0.0140005442) (.p16 x x)))) (.p16 (.p16 (.p16 (.p16 x x) (.p16 x x)) (.p16 (.p16 x x) (.p16 x x))) (+.p16 (real->posit16 0.0008327945) (.p16 (real->posit16 2) (.p16 (.p16 x x) (real->posit16 0.0001789971))))))) (+.p16 (.p16 (.p16 (.p16 x x) (.p16 x x)) (real->posit16 0.2909738639)) (+.p16 (real->posit16 1) (.p16 (*.p16 x x) (real->posit16 0.7715471019))))))
41.0ms	(.p16 (.p16 (.p16 (.p16 x x) (.p16 x x)) (.p16 (.p16 x x) (.p16 x x))) (+.p16 (real->posit16 0.0005064034) (.p16 (.p16 x x) (real->posit16 0.0001789971))))
7.0ms	(.p16 (real->posit16 0.0140005442) (.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 (.p16 x x) (.p16 x x)) (.p16 (.p16 x x) (.p16 x x))) (+.p16 (real->posit16 0.0005064034) (.p16 (.p16 x x) (real->posit16 0.0001789971)))) (+.p16 (real->posit16 1) (.p16 (.p16 x x) (real->posit16 0.1049934947)))) (.p16 (.p16 (.p16 x x) (.p16 x x)) (+.p16 (.p16 (real->posit16 0.0072644182) (.p16 x x)) (real->posit16 0.0424060604)))) (+.p16 (.p16 (.p16 x x) (+.p16 (.p16 (.p16 (.p16 x x) (.p16 x x)) (+.p16 (real->posit16 0.0694555761) (.p16 (real->posit16 0.0140005442) (.p16 x x)))) (.p16 (.p16 (.p16 (.p16 x x) (.p16 x x)) (.p16 (.p16 x x) (.p16 x x))) (+.p16 (real->posit16 0.0008327945) (.p16 (real->posit16 2) (.p16 (.p16 x x) (real->posit16 0.0001789971))))))) (+.p16 (.p16 (.p16 (.p16 x x) (.p16 x x)) (real->posit16 0.2909738639)) (+.p16 (real->posit16 1) (.p16 (*.p16 x x) (real->posit16 0.7715471019))))))
0.0ms	(.p16 (.p16 (.p16 (.p16 x x) (.p16 x x)) (.p16 (.p16 x x) (.p16 x x))) (+.p16 (real->posit16 0.0005064034) (.p16 (.p16 x x) (real->posit16 0.0001789971))))
0.0ms	(.p16 (real->posit16 0.0140005442) (.p16 x x))
0.0ms	(.p16 (.p16 x x) (real->posit16 0.0001789971))

simplify1.1s

Counts: 11 → 12

prune2.8s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 3.0b

localize1.3s

Local error

Found 4 expressions with local error:

3.2b	(/.p16 (+.p16 (+.p16 (+.p16 (.p16 (real->posit16 0.0005064034) (.p16 (.p16 (.p16 x x) (.p16 x x)) (.p16 (.p16 x x) (.p16 x x)))) (.p16 (.p16 (.p16 x x) (real->posit16 0.0001789971)) (.p16 (.p16 (.p16 x x) (.p16 x x)) (.p16 (.p16 x x) (.p16 x x))))) (+.p16 (real->posit16 1) (.p16 (.p16 x x) (real->posit16 0.1049934947)))) (.p16 (.p16 (.p16 x x) (.p16 x x)) (+.p16 (.p16 (real->posit16 0.0072644182) (.p16 x x)) (real->posit16 0.0424060604)))) (+.p16 (.p16 (.p16 x x) (+.p16 (.p16 (.p16 (.p16 x x) (.p16 x x)) (+.p16 (real->posit16 0.0694555761) (.p16 (real->posit16 0.0140005442) (.p16 x x)))) (.p16 (.p16 (.p16 (.p16 x x) (.p16 x x)) (.p16 (.p16 x x) (.p16 x x))) (+.p16 (real->posit16 0.0008327945) (.p16 (real->posit16 2) (.p16 (.p16 x x) (real->posit16 0.0001789971))))))) (+.p16 (.p16 (.p16 (.p16 x x) (.p16 x x)) (real->posit16 0.2909738639)) (+.p16 (real->posit16 1) (.p16 (*.p16 x x) (real->posit16 0.7715471019))))))
1.9b	(.p16 (real->posit16 0.0005064034) (.p16 (.p16 (.p16 x x) (.p16 x x)) (.p16 (.p16 x x) (.p16 x x))))
0.9b	(.p16 (.p16 (.p16 x x) (real->posit16 0.0001789971)) (.p16 (.p16 (.p16 x x) (.p16 x x)) (.p16 (.p16 x x) (.p16 x x))))
0.7b	(.p16 (real->posit16 0.0140005442) (.p16 x x))

rewrite227.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 7

Calls

4 calls:

Slowest

139.0ms	(/.p16 (+.p16 (+.p16 (+.p16 (.p16 (real->posit16 0.0005064034) (.p16 (.p16 (.p16 x x) (.p16 x x)) (.p16 (.p16 x x) (.p16 x x)))) (.p16 (.p16 (.p16 x x) (real->posit16 0.0001789971)) (.p16 (.p16 (.p16 x x) (.p16 x x)) (.p16 (.p16 x x) (.p16 x x))))) (+.p16 (real->posit16 1) (.p16 (.p16 x x) (real->posit16 0.1049934947)))) (.p16 (.p16 (.p16 x x) (.p16 x x)) (+.p16 (.p16 (real->posit16 0.0072644182) (.p16 x x)) (real->posit16 0.0424060604)))) (+.p16 (.p16 (.p16 x x) (+.p16 (.p16 (.p16 (.p16 x x) (.p16 x x)) (+.p16 (real->posit16 0.0694555761) (.p16 (real->posit16 0.0140005442) (.p16 x x)))) (.p16 (.p16 (.p16 (.p16 x x) (.p16 x x)) (.p16 (.p16 x x) (.p16 x x))) (+.p16 (real->posit16 0.0008327945) (.p16 (real->posit16 2) (.p16 (.p16 x x) (real->posit16 0.0001789971))))))) (+.p16 (.p16 (.p16 (.p16 x x) (.p16 x x)) (real->posit16 0.2909738639)) (+.p16 (real->posit16 1) (.p16 (*.p16 x x) (real->posit16 0.7715471019))))))
51.0ms	(.p16 (.p16 (.p16 x x) (real->posit16 0.0001789971)) (.p16 (.p16 (.p16 x x) (.p16 x x)) (.p16 (.p16 x x) (.p16 x x))))
28.0ms	(.p16 (real->posit16 0.0005064034) (.p16 (.p16 (.p16 x x) (.p16 x x)) (.p16 (.p16 x x) (.p16 x x))))
8.0ms	(.p16 (real->posit16 0.0140005442) (.p16 x x))

series0.0ms

Counts

4 → 4

Calls

4 calls:

Slowest

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

simplify1.0s

Counts: 12 → 11

prune2.4s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 3.0b

localize908.0ms

Local error

Found 4 expressions with local error:

3.2b	(/.p16 (+.p16 (+.p16 (+.p16 (.p16 (real->posit16 0.0005064034) (.p16 (.p16 (.p16 x x) (.p16 x x)) (.p16 (.p16 x x) (.p16 x x)))) (.p16 (.p16 x x) (.p16 (real->posit16 0.0001789971) (.p16 (.p16 (.p16 x x) (.p16 x x)) (.p16 (.p16 x x) (.p16 x x)))))) (+.p16 (real->posit16 1) (.p16 (.p16 x x) (real->posit16 0.1049934947)))) (.p16 (.p16 (.p16 x x) (.p16 x x)) (+.p16 (.p16 (real->posit16 0.0072644182) (.p16 x x)) (real->posit16 0.0424060604)))) (+.p16 (.p16 (.p16 x x) (+.p16 (.p16 (.p16 (.p16 x x) (.p16 x x)) (+.p16 (real->posit16 0.0694555761) (.p16 (real->posit16 0.0140005442) (.p16 x x)))) (.p16 (.p16 (.p16 (.p16 x x) (.p16 x x)) (.p16 (.p16 x x) (.p16 x x))) (+.p16 (real->posit16 0.0008327945) (.p16 (real->posit16 2) (.p16 (.p16 x x) (real->posit16 0.0001789971))))))) (+.p16 (.p16 (.p16 (.p16 x x) (.p16 x x)) (real->posit16 0.2909738639)) (+.p16 (real->posit16 1) (.p16 (*.p16 x x) (real->posit16 0.7715471019))))))
2.1b	(.p16 (real->posit16 0.0001789971) (.p16 (.p16 (.p16 x x) (.p16 x x)) (.p16 (.p16 x x) (.p16 x x))))
1.9b	(.p16 (real->posit16 0.0005064034) (.p16 (.p16 (.p16 x x) (.p16 x x)) (.p16 (.p16 x x) (.p16 x x))))
0.7b	(.p16 (real->posit16 0.0140005442) (.p16 x x))

rewrite172.0ms

Algorithm

rewrite-expression-head

Rules

3×	`associate-r` `*-commutative`

Counts

4 → 6

Calls

4 calls:

Slowest

68.0ms	(/.p16 (+.p16 (+.p16 (+.p16 (.p16 (real->posit16 0.0005064034) (.p16 (.p16 (.p16 x x) (.p16 x x)) (.p16 (.p16 x x) (.p16 x x)))) (.p16 (.p16 x x) (.p16 (real->posit16 0.0001789971) (.p16 (.p16 (.p16 x x) (.p16 x x)) (.p16 (.p16 x x) (.p16 x x)))))) (+.p16 (real->posit16 1) (.p16 (.p16 x x) (real->posit16 0.1049934947)))) (.p16 (.p16 (.p16 x x) (.p16 x x)) (+.p16 (.p16 (real->posit16 0.0072644182) (.p16 x x)) (real->posit16 0.0424060604)))) (+.p16 (.p16 (.p16 x x) (+.p16 (.p16 (.p16 (.p16 x x) (.p16 x x)) (+.p16 (real->posit16 0.0694555761) (.p16 (real->posit16 0.0140005442) (.p16 x x)))) (.p16 (.p16 (.p16 (.p16 x x) (.p16 x x)) (.p16 (.p16 x x) (.p16 x x))) (+.p16 (real->posit16 0.0008327945) (.p16 (real->posit16 2) (.p16 (.p16 x x) (real->posit16 0.0001789971))))))) (+.p16 (.p16 (.p16 (.p16 x x) (.p16 x x)) (real->posit16 0.2909738639)) (+.p16 (real->posit16 1) (.p16 (*.p16 x x) (real->posit16 0.7715471019))))))
48.0ms	(.p16 (real->posit16 0.0005064034) (.p16 (.p16 (.p16 x x) (.p16 x x)) (.p16 (.p16 x x) (.p16 x x))))
47.0ms	(.p16 (real->posit16 0.0001789971) (.p16 (.p16 (.p16 x x) (.p16 x x)) (.p16 (.p16 x x) (.p16 x x))))
8.0ms	(.p16 (real->posit16 0.0140005442) (.p16 x x))

series0.0ms

Counts

4 → 4

Calls

4 calls:

Slowest

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

simplify218.0ms

Counts: 7 → 10

prune1.8s

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 3.0b

localize744.0ms

Local error

Found 4 expressions with local error:

3.3b	(/.p16 (.p16 (+.p16 (+.p16 (.p16 (.p16 (.p16 x x) (.p16 x x)) (+.p16 (+.p16 (real->posit16 0.0424060604) (.p16 (.p16 x (real->posit16 0.0072644182)) x)) (.p16 (+.p16 (.p16 (real->posit16 0.0001789971) (.p16 x x)) (real->posit16 0.0005064034)) (.p16 (.p16 x x) (.p16 x x))))) (.p16 (.p16 x x) (real->posit16 0.1049934947))) (real->posit16 1)) x) (+.p16 (+.p16 (.p16 (.p16 (.p16 x x) (.p16 x x)) (real->posit16 0.2909738639)) (real->posit16 1)) (.p16 (.p16 x x) (+.p16 (real->posit16 0.7715471019) (.p16 (+.p16 (+.p16 (.p16 (.p16 (.p16 x x) (.p16 x x)) (+.p16 (.p16 (.p16 (real->posit16 0.0001789971) (.p16 x x)) (real->posit16 2)) (real->posit16 0.0008327945))) (real->posit16 0.0694555761)) (.p16 (.p16 x x) (real->posit16 0.0140005442))) (.p16 (.p16 x x) (.p16 x x)))))))
0.7b	(.p16 (.p16 x x) (real->posit16 0.0140005442))
0.7b	(.p16 (real->posit16 0.0001789971) (.p16 x x))
0.7b	(.p16 (real->posit16 0.0001789971) (.p16 x x))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 7

Calls

4 calls:

Slowest

20.0ms	(/.p16 (.p16 (+.p16 (+.p16 (.p16 (.p16 (.p16 x x) (.p16 x x)) (+.p16 (+.p16 (real->posit16 0.0424060604) (.p16 (.p16 x (real->posit16 0.0072644182)) x)) (.p16 (+.p16 (.p16 (real->posit16 0.0001789971) (.p16 x x)) (real->posit16 0.0005064034)) (.p16 (.p16 x x) (.p16 x x))))) (.p16 (.p16 x x) (real->posit16 0.1049934947))) (real->posit16 1)) x) (+.p16 (+.p16 (.p16 (.p16 (.p16 x x) (.p16 x x)) (real->posit16 0.2909738639)) (real->posit16 1)) (.p16 (.p16 x x) (+.p16 (real->posit16 0.7715471019) (.p16 (+.p16 (+.p16 (.p16 (.p16 (.p16 x x) (.p16 x x)) (+.p16 (.p16 (.p16 (real->posit16 0.0001789971) (.p16 x x)) (real->posit16 2)) (real->posit16 0.0008327945))) (real->posit16 0.0694555761)) (.p16 (.p16 x x) (real->posit16 0.0140005442))) (.p16 (.p16 x x) (.p16 x x)))))))
15.0ms	(.p16 (real->posit16 0.0001789971) (.p16 x x))
7.0ms	(.p16 (real->posit16 0.0001789971) (.p16 x x))
6.0ms	(.p16 (.p16 x x) (real->posit16 0.0140005442))

series0.0ms

Counts

4 → 4

Calls

4 calls:

Slowest

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

simplify974.0ms

Counts: 8 → 11

prune1.6s

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 2.9b

regimes986.0ms

Accuracy

-∞% (-60.6b remaining)

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

bsearch35.0ms

end0.0ms

sample4.7s

Algorithm

halfpoints

Results