Details

sample348.0ms

Algorithm

halfpoints

Results

simplify5.9s

Counts: 1 → 1

prune285.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 3.7b

localize991.0ms

Local error

Found 4 expressions with local error:

3.3b	(/.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)))))
0.9b	(.p16 (real->posit16 0.0001789971) (.p16 (real->posit16 2) (*.p16 x x)))
0.8b	(.p16 (.p16 x x) (real->posit16 0.0001789971))
0.6b	(.p16 (real->posit16 0.0072644182) (.p16 x x))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 6

Calls

4 calls:

Slowest

12.0ms	(/.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)))))
7.0ms	(.p16 (real->posit16 0.0072644182) (.p16 x x))
7.0ms	(.p16 (real->posit16 0.0001789971) (.p16 (real->posit16 2) (*.p16 x x)))
3.0ms	(.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 (real->posit16 0.0001789971) (.p16 (real->posit16 2) (*.p16 x x)))
0.0ms	(.p16 (real->posit16 0.0072644182) (.p16 x x))
0.0ms	(.p16 (.p16 x x) (real->posit16 0.0001789971))

simplify994.0ms

Counts: 10 → 10

prune2.2s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 3.3b

localize849.0ms

Local error

Found 4 expressions with local error:

3.4b	(/.p16 (.p16 x (+.p16 (.p16 (.p16 x x) (+.p16 (real->posit16 0.1049934947) (+.p16 (.p16 (real->posit16 0.0072644182) (.p16 (.p16 x x) (.p16 x x))) (.p16 (.p16 x x) (+.p16 (real->posit16 0.0424060604) (.p16 (.p16 (.p16 x x) (.p16 x x)) (+.p16 (real->posit16 0.0005064034) (.p16 (real->posit16 0.0001789971) (.p16 x x))))))))) (real->posit16 1))) (+.p16 (+.p16 (real->posit16 1) (.p16 (.p16 x x) (real->posit16 0.7715471019))) (.p16 (.p16 (.p16 x x) (.p16 x x)) (+.p16 (.p16 (.p16 x x) (real->posit16 0.0694555761)) (+.p16 (real->posit16 0.2909738639) (.p16 (.p16 (.p16 x x) (.p16 x x)) (+.p16 (.p16 (+.p16 (real->posit16 0.0008327945) (.p16 (real->posit16 2) (.p16 (real->posit16 0.0001789971) (.p16 x x)))) (.p16 x x)) (real->posit16 0.0140005442))))))))
0.8b	(.p16 (real->posit16 0.0072644182) (.p16 (.p16 x x) (.p16 x x)))
0.8b	(.p16 (real->posit16 0.0001789971) (.p16 x x))
0.8b	(.p16 (real->posit16 0.0001789971) (.p16 x x))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 7

Calls

4 calls:

Slowest

13.0ms	(/.p16 (.p16 x (+.p16 (.p16 (.p16 x x) (+.p16 (real->posit16 0.1049934947) (+.p16 (.p16 (real->posit16 0.0072644182) (.p16 (.p16 x x) (.p16 x x))) (.p16 (.p16 x x) (+.p16 (real->posit16 0.0424060604) (.p16 (.p16 (.p16 x x) (.p16 x x)) (+.p16 (real->posit16 0.0005064034) (.p16 (real->posit16 0.0001789971) (.p16 x x))))))))) (real->posit16 1))) (+.p16 (+.p16 (real->posit16 1) (.p16 (.p16 x x) (real->posit16 0.7715471019))) (.p16 (.p16 (.p16 x x) (.p16 x x)) (+.p16 (.p16 (.p16 x x) (real->posit16 0.0694555761)) (+.p16 (real->posit16 0.2909738639) (.p16 (.p16 (.p16 x x) (.p16 x x)) (+.p16 (.p16 (+.p16 (real->posit16 0.0008327945) (.p16 (real->posit16 2) (.p16 (real->posit16 0.0001789971) (.p16 x x)))) (.p16 x x)) (real->posit16 0.0140005442))))))))
11.0ms	(.p16 (real->posit16 0.0072644182) (.p16 (.p16 x x) (.p16 x x)))
4.0ms	(.p16 (real->posit16 0.0001789971) (.p16 x x))
4.0ms	(.p16 (real->posit16 0.0001789971) (.p16 x x))

series0.0ms

Counts

4 → 4

Calls

4 calls:

Slowest

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

simplify5.3s

Counts: 11 → 11

prune2.3s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 3.2b

localize1.1s

Local error

Found 4 expressions with local error:

3.4b	(/.p16 (.p16 (+.p16 (real->posit16 1) (.p16 (+.p16 (.p16 (+.p16 (real->posit16 0.0424060604) (.p16 (.p16 x x) (+.p16 (.p16 (+.p16 (.p16 (real->posit16 0.0001789971) (.p16 x x)) (real->posit16 0.0005064034)) (.p16 x x)) (real->posit16 0.0072644182)))) (.p16 x x)) (real->posit16 0.1049934947)) (.p16 x x))) x) (+.p16 (.p16 (.p16 x x) (+.p16 (real->posit16 0.7715471019) (.p16 (.p16 x x) (+.p16 (.p16 (+.p16 (real->posit16 0.0694555761) (.p16 (+.p16 (.p16 (+.p16 (real->posit16 0.0008327945) (.p16 (.p16 (real->posit16 0.0001789971) (.p16 x x)) (real->posit16 2))) (.p16 x x)) (real->posit16 0.0140005442)) (.p16 x x))) (.p16 x x)) (real->posit16 0.2909738639))))) (real->posit16 1)))
0.8b	(.p16 (real->posit16 0.0001789971) (.p16 x x))
0.8b	(.p16 (real->posit16 0.0001789971) (.p16 x x))
0.4b	(.p16 (+.p16 (.p16 (real->posit16 0.0001789971) (.p16 x x)) (real->posit16 0.0005064034)) (.p16 x x))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 7

Calls

4 calls:

Slowest

12.0ms	(.p16 (+.p16 (.p16 (real->posit16 0.0001789971) (.p16 x x)) (real->posit16 0.0005064034)) (.p16 x x))
6.0ms	(/.p16 (.p16 (+.p16 (real->posit16 1) (.p16 (+.p16 (.p16 (+.p16 (real->posit16 0.0424060604) (.p16 (.p16 x x) (+.p16 (.p16 (+.p16 (.p16 (real->posit16 0.0001789971) (.p16 x x)) (real->posit16 0.0005064034)) (.p16 x x)) (real->posit16 0.0072644182)))) (.p16 x x)) (real->posit16 0.1049934947)) (.p16 x x))) x) (+.p16 (.p16 (.p16 x x) (+.p16 (real->posit16 0.7715471019) (.p16 (.p16 x x) (+.p16 (.p16 (+.p16 (real->posit16 0.0694555761) (.p16 (+.p16 (.p16 (+.p16 (real->posit16 0.0008327945) (.p16 (.p16 (real->posit16 0.0001789971) (.p16 x x)) (real->posit16 2))) (.p16 x x)) (real->posit16 0.0140005442)) (.p16 x x))) (.p16 x x)) (real->posit16 0.2909738639))))) (real->posit16 1)))
4.0ms	(.p16 (real->posit16 0.0001789971) (.p16 x x))
4.0ms	(.p16 (real->posit16 0.0001789971) (.p16 x x))

series0.0ms

Counts

4 → 4

Calls

4 calls:

Slowest

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

simplify2.2s

Counts: 11 → 11

prune2.4s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 3.2b

localize773.0ms

Local error

Found 4 expressions with local error:

3.4b	(/.p16 (.p16 (+.p16 (real->posit16 1) (.p16 (+.p16 (.p16 (+.p16 (real->posit16 0.0424060604) (.p16 (.p16 x x) (+.p16 (.p16 (.p16 (+.p16 (.p16 (real->posit16 0.0001789971) (.p16 x x)) (real->posit16 0.0005064034)) x) x) (real->posit16 0.0072644182)))) (.p16 x x)) (real->posit16 0.1049934947)) (.p16 x x))) x) (+.p16 (.p16 (.p16 x x) (+.p16 (real->posit16 0.7715471019) (.p16 (.p16 x x) (+.p16 (.p16 (+.p16 (real->posit16 0.0694555761) (.p16 (+.p16 (.p16 (+.p16 (real->posit16 0.0008327945) (.p16 (.p16 (real->posit16 0.0001789971) (.p16 x x)) (real->posit16 2))) (.p16 x x)) (real->posit16 0.0140005442)) (.p16 x x))) (.p16 x x)) (real->posit16 0.2909738639))))) (real->posit16 1)))
0.8b	(.p16 (real->posit16 0.0001789971) (.p16 x x))
0.8b	(.p16 (real->posit16 0.0001789971) (.p16 x x))
0.4b	(.p16 (+.p16 (real->posit16 0.0008327945) (.p16 (.p16 (real->posit16 0.0001789971) (.p16 x x)) (real->posit16 2))) (*.p16 x x))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 7

Calls

4 calls:

Slowest

5.0ms	(.p16 (+.p16 (real->posit16 0.0008327945) (.p16 (.p16 (real->posit16 0.0001789971) (.p16 x x)) (real->posit16 2))) (*.p16 x x))
4.0ms	(/.p16 (.p16 (+.p16 (real->posit16 1) (.p16 (+.p16 (.p16 (+.p16 (real->posit16 0.0424060604) (.p16 (.p16 x x) (+.p16 (.p16 (.p16 (+.p16 (.p16 (real->posit16 0.0001789971) (.p16 x x)) (real->posit16 0.0005064034)) x) x) (real->posit16 0.0072644182)))) (.p16 x x)) (real->posit16 0.1049934947)) (.p16 x x))) x) (+.p16 (.p16 (.p16 x x) (+.p16 (real->posit16 0.7715471019) (.p16 (.p16 x x) (+.p16 (.p16 (+.p16 (real->posit16 0.0694555761) (.p16 (+.p16 (.p16 (+.p16 (real->posit16 0.0008327945) (.p16 (.p16 (real->posit16 0.0001789971) (.p16 x x)) (real->posit16 2))) (.p16 x x)) (real->posit16 0.0140005442)) (.p16 x x))) (.p16 x x)) (real->posit16 0.2909738639))))) (real->posit16 1)))
4.0ms	(.p16 (real->posit16 0.0001789971) (.p16 x x))
4.0ms	(.p16 (real->posit16 0.0001789971) (.p16 x x))

series0.0ms

Counts

4 → 4

Calls

4 calls:

Slowest

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

simplify4.3s

Counts: 11 → 11

prune1.3s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 3.2b

regimes887.0ms

Accuracy

-∞% (-60.6b remaining)

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

bsearch28.0ms

end0.0ms

sample4.8s

Algorithm

halfpoints

Results