Details

sample421.0ms

Algorithm

halfpoints

Results

simplify6.2s

Counts: 1 → 1

prune411.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 3.9b

localize782.0ms

Local error

Found 4 expressions with local error:

3.4b	(/.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))
0.5b	(.p16 (/.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))))) x)

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 6

Calls

4 calls:

Slowest

12.0ms	(.p16 (real->posit16 0.0001789971) (.p16 (real->posit16 2) (*.p16 x x)))
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)))))
8.0ms	(.p16 (/.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))))) 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 (/.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))))) x)
0.0ms	(.p16 (real->posit16 0.0001789971) (.p16 (real->posit16 2) (*.p16 x x)))
0.0ms	(.p16 (.p16 x x) (real->posit16 0.0001789971))

simplify759.0ms

Counts: 10 → 10

prune1.8s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 3.4b

localize929.0ms

Local error

Found 4 expressions with local error:

3.2b	(.p16 (/.p16 x (+.p16 (+.p16 (.p16 (.p16 x x) (real->posit16 0.7715471019)) (real->posit16 1)) (.p16 (.p16 (.p16 x x) (.p16 x x)) (+.p16 (+.p16 (.p16 (.p16 x x) (real->posit16 0.0694555761)) (real->posit16 0.2909738639)) (.p16 (+.p16 (.p16 (.p16 x x) (+.p16 (real->posit16 0.0008327945) (.p16 (.p16 x x) (.p16 (real->posit16 0.0001789971) (real->posit16 2))))) (real->posit16 0.0140005442)) (.p16 (.p16 x x) (.p16 x x))))))) (+.p16 (.p16 (.p16 x x) (+.p16 (.p16 (+.p16 (.p16 (.p16 x x) (+.p16 (+.p16 (.p16 (real->posit16 0.0005064034) (.p16 x x)) (.p16 (.p16 (.p16 x x) (.p16 x x)) (real->posit16 0.0001789971))) (real->posit16 0.0072644182))) (real->posit16 0.0424060604)) (.p16 x x)) (real->posit16 0.1049934947))) (real->posit16 1)))
1.4b	(.p16 (.p16 (.p16 x x) (.p16 x x)) (real->posit16 0.0001789971))
1.0b	(.p16 (real->posit16 0.0005064034) (.p16 x x))
0.8b	(.p16 (.p16 x x) (*.p16 (real->posit16 0.0001789971) (real->posit16 2)))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 11

Calls

4 calls:

Slowest

15.0ms	(.p16 (.p16 (.p16 x x) (.p16 x x)) (real->posit16 0.0001789971))
11.0ms	(.p16 (.p16 x x) (*.p16 (real->posit16 0.0001789971) (real->posit16 2)))
8.0ms	(.p16 (real->posit16 0.0005064034) (.p16 x x))
6.0ms	(.p16 (/.p16 x (+.p16 (+.p16 (.p16 (.p16 x x) (real->posit16 0.7715471019)) (real->posit16 1)) (.p16 (.p16 (.p16 x x) (.p16 x x)) (+.p16 (+.p16 (.p16 (.p16 x x) (real->posit16 0.0694555761)) (real->posit16 0.2909738639)) (.p16 (+.p16 (.p16 (.p16 x x) (+.p16 (real->posit16 0.0008327945) (.p16 (.p16 x x) (.p16 (real->posit16 0.0001789971) (real->posit16 2))))) (real->posit16 0.0140005442)) (.p16 (.p16 x x) (.p16 x x))))))) (+.p16 (.p16 (.p16 x x) (+.p16 (.p16 (+.p16 (.p16 (.p16 x x) (+.p16 (+.p16 (.p16 (real->posit16 0.0005064034) (.p16 x x)) (.p16 (.p16 (.p16 x x) (.p16 x x)) (real->posit16 0.0001789971))) (real->posit16 0.0072644182))) (real->posit16 0.0424060604)) (.p16 x x)) (real->posit16 0.1049934947))) (real->posit16 1)))

series0.0ms

Counts

4 → 4

Calls

4 calls:

Slowest

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

simplify6.0s

Counts: 15 → 15

prune3.8s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 3.3b

localize1.0s

Local error

Found 4 expressions with local error:

3.6b	(/.p16 (.p16 x (+.p16 (real->posit16 1) (.p16 (.p16 x x) (+.p16 (.p16 (.p16 x x) (+.p16 (.p16 (.p16 x x) (+.p16 (.p16 (+.p16 (real->posit16 0.0005064034) (.p16 (real->posit16 0.0001789971) (.p16 x x))) (.p16 x x)) (real->posit16 0.0072644182))) (real->posit16 0.0424060604))) (real->posit16 0.1049934947))))) (+.p16 (.p16 (+.p16 (real->posit16 0.7715471019) (.p16 (.p16 x x) (+.p16 (.p16 (+.p16 (.p16 (.p16 x x) (+.p16 (.p16 (.p16 (.p16 x x) (real->posit16 2)) (.p16 (real->posit16 0.0001789971) (.p16 x x))) (+.p16 (real->posit16 0.0140005442) (.p16 (.p16 x x) (real->posit16 0.0008327945))))) (real->posit16 0.0694555761)) (.p16 x x)) (real->posit16 0.2909738639)))) (.p16 x x)) (real->posit16 1)))
0.9b	(.p16 (.p16 x x) (real->posit16 0.0008327945))
0.8b	(.p16 (real->posit16 0.0001789971) (.p16 x x))
0.8b	(.p16 (real->posit16 0.0001789971) (.p16 x x))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 7

Calls

4 calls:

Slowest

9.0ms	(.p16 (real->posit16 0.0001789971) (.p16 x x))
5.0ms	(/.p16 (.p16 x (+.p16 (real->posit16 1) (.p16 (.p16 x x) (+.p16 (.p16 (.p16 x x) (+.p16 (.p16 (.p16 x x) (+.p16 (.p16 (+.p16 (real->posit16 0.0005064034) (.p16 (real->posit16 0.0001789971) (.p16 x x))) (.p16 x x)) (real->posit16 0.0072644182))) (real->posit16 0.0424060604))) (real->posit16 0.1049934947))))) (+.p16 (.p16 (+.p16 (real->posit16 0.7715471019) (.p16 (.p16 x x) (+.p16 (.p16 (+.p16 (.p16 (.p16 x x) (+.p16 (.p16 (.p16 (.p16 x x) (real->posit16 2)) (.p16 (real->posit16 0.0001789971) (.p16 x x))) (+.p16 (real->posit16 0.0140005442) (.p16 (.p16 x x) (real->posit16 0.0008327945))))) (real->posit16 0.0694555761)) (.p16 x x)) (real->posit16 0.2909738639)))) (.p16 x x)) (real->posit16 1)))
4.0ms	(.p16 (real->posit16 0.0001789971) (.p16 x x))
3.0ms	(.p16 (.p16 x x) (real->posit16 0.0008327945))

series0.0ms

Counts

4 → 4

Calls

4 calls:

Slowest

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

simplify2.0s

Counts: 11 → 11

prune2.4s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 3.2b

localize719.0ms

Local error

Found 4 expressions with local error:

3.6b	(/.p16 (.p16 x (+.p16 (real->posit16 1) (.p16 (.p16 x x) (+.p16 (.p16 (.p16 x x) (+.p16 (.p16 (.p16 x x) (+.p16 (.p16 (+.p16 (real->posit16 0.0005064034) (.p16 (.p16 (real->posit16 0.0001789971) x) x)) (.p16 x x)) (real->posit16 0.0072644182))) (real->posit16 0.0424060604))) (real->posit16 0.1049934947))))) (+.p16 (.p16 (+.p16 (real->posit16 0.7715471019) (.p16 (.p16 x x) (+.p16 (.p16 (+.p16 (.p16 (.p16 x x) (+.p16 (.p16 (.p16 (.p16 x x) (real->posit16 2)) (.p16 (real->posit16 0.0001789971) (.p16 x x))) (+.p16 (real->posit16 0.0140005442) (.p16 (.p16 x x) (real->posit16 0.0008327945))))) (real->posit16 0.0694555761)) (.p16 x x)) (real->posit16 0.2909738639)))) (.p16 x x)) (real->posit16 1)))
0.9b	(.p16 (.p16 x x) (real->posit16 0.0008327945))
0.8b	(.p16 (real->posit16 0.0001789971) (.p16 x x))
0.5b	(.p16 (.p16 (.p16 x x) (real->posit16 2)) (.p16 (real->posit16 0.0001789971) (*.p16 x x)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 8

Calls

4 calls:

Slowest

11.0ms	(.p16 (.p16 (.p16 x x) (real->posit16 2)) (.p16 (real->posit16 0.0001789971) (*.p16 x x)))
5.0ms	(/.p16 (.p16 x (+.p16 (real->posit16 1) (.p16 (.p16 x x) (+.p16 (.p16 (.p16 x x) (+.p16 (.p16 (.p16 x x) (+.p16 (.p16 (+.p16 (real->posit16 0.0005064034) (.p16 (.p16 (real->posit16 0.0001789971) x) x)) (.p16 x x)) (real->posit16 0.0072644182))) (real->posit16 0.0424060604))) (real->posit16 0.1049934947))))) (+.p16 (.p16 (+.p16 (real->posit16 0.7715471019) (.p16 (.p16 x x) (+.p16 (.p16 (+.p16 (.p16 (.p16 x x) (+.p16 (.p16 (.p16 (.p16 x x) (real->posit16 2)) (.p16 (real->posit16 0.0001789971) (.p16 x x))) (+.p16 (real->posit16 0.0140005442) (.p16 (.p16 x x) (real->posit16 0.0008327945))))) (real->posit16 0.0694555761)) (.p16 x x)) (real->posit16 0.2909738639)))) (.p16 x x)) (real->posit16 1)))
4.0ms	(.p16 (real->posit16 0.0001789971) (.p16 x x))
4.0ms	(.p16 (.p16 x x) (real->posit16 0.0008327945))

series0.0ms

Counts

4 → 4

Calls

4 calls:

Slowest

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

simplify1.9s

Counts: 12 → 12

prune1.6s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 3.2b

regimes630.0ms

Accuracy

0% (0.4b remaining)

Error of 3.4b against oracle of 3.0b and baseline of 3.4b

bsearch25.0ms

end0.0ms

sample4.7s

Algorithm

halfpoints

Results