Details

sample221.0ms

Algorithm

halfpoints

Results

simplify25.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

25.0ms

(-.p16 (*.p16 re re) (*.p16 im im))

prune69.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize94.0ms

Local error

Found 1 expressions with local error:

0.1b	(*.p16 (-.p16 re im) (+.p16 im re))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

1×	`distribute-rgt-in` `distribute-lft-in` `associate-l/` `p16-flip--` `-commutative`

Counts

1 → 4

Calls

1 calls:

Slowest

5.0ms

(*.p16 (-.p16 re im) (+.p16 im re))

series0.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

0.0ms

(*.p16 (-.p16 re im) (+.p16 im re))

simplify105.0ms

Counts

4 → 5

Calls

4 calls:

Slowest

81.0ms	(.p16 (-.p16 (.p16 re re) (*.p16 im im)) (+.p16 im re))
14.0ms	(*.p16 (-.p16 re im) (+.p16 im re))
5.0ms	(*.p16 (-.p16 re im) re)
5.0ms	(*.p16 re (-.p16 re im))

prune95.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize79.0ms

Local error

Found 1 expressions with local error:

0.3b	(-.p16 (.p16 re re) (.p16 im im))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

1×	`sub-neg` `p16-flip--` `difference-of-squares`

Counts

1 → 3

Calls

1 calls:

Slowest

6.0ms

(-.p16 (*.p16 re re) (*.p16 im im))

series0.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

0.0ms

(-.p16 (*.p16 re re) (*.p16 im im))

simplify17.0ms

Counts

3 → 4

Calls

3 calls:

Slowest

13.0ms	(-.p16 (.p16 re re) (.p16 im im))
2.0ms	(-.p16 re im)
2.0ms	(+.p16 re im)

prune74.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize129.0ms

Local error

Found 3 expressions with local error:

0.4b	(+.p16 (.p16 im (-.p16 re im)) (.p16 re (-.p16 re im)))
0.2b	(*.p16 re (-.p16 re im))
0.2b	(*.p16 im (-.p16 re im))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

8×	`sub-neg`
4×	`distribute-rgt-in` `distribute-lft-in`
2×	`associate-+l+` `associate-+r+` `associate-r/` `p16-flip--` `-commutative`
1×	`+-commutative` `distribute-rgt-out`

Counts

3 → 14

Calls

3 calls:

Slowest

10.0ms	(*.p16 im (-.p16 re im))
10.0ms	(+.p16 (.p16 im (-.p16 re im)) (.p16 re (-.p16 re im)))
6.0ms	(*.p16 re (-.p16 re im))

series0.0ms

Counts

3 → 3

Calls

3 calls:

Slowest

0.0ms	(*.p16 re (-.p16 re im))
0.0ms	(+.p16 (.p16 im (-.p16 re im)) (.p16 re (-.p16 re im)))
0.0ms	(*.p16 im (-.p16 re im))

simplify33.0ms

Counts

15 → 17

Calls

15 calls:

Slowest

4.0ms	(*.p16 re (-.p16 re im))
4.0ms	(*.p16 re (-.p16 re im))
4.0ms	(*.p16 re (-.p16 re im))
2.0ms	(*.p16 re (neg.p16 im))
2.0ms	(*.p16 re (neg.p16 im))

prune352.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize223.0ms

Local error

Found 4 expressions with local error:

0.8b	(/.p16 (.p16 re (-.p16 (.p16 re re) (*.p16 im im))) (+.p16 re im))
0.4b	(+.p16 (.p16 im (-.p16 re im)) (/.p16 (.p16 re (-.p16 (.p16 re re) (.p16 im im))) (+.p16 re im)))
0.3b	(-.p16 (.p16 re re) (.p16 im im))
0.2b	(.p16 re (-.p16 (.p16 re re) (*.p16 im im)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

5×	`sub-neg`
3×	`p16-flip--`
2×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in` `associate-*r/` `difference-of-squares`
1×	`+-commutative` `associate-r` `-commutative` `associate-/l` `associate-/l/`

Counts

4 → 13

Calls

4 calls:

Slowest

9.0ms	(+.p16 (.p16 im (-.p16 re im)) (/.p16 (.p16 re (-.p16 (.p16 re re) (.p16 im im))) (+.p16 re im)))
7.0ms	(/.p16 (.p16 re (-.p16 (.p16 re re) (*.p16 im im))) (+.p16 re im))
4.0ms	(.p16 re (-.p16 (.p16 re re) (*.p16 im im)))
3.0ms	(-.p16 (.p16 re re) (.p16 im im))

series0.0ms

Counts

4 → 4

Calls

4 calls:

Slowest

0.0ms	(/.p16 (.p16 re (-.p16 (.p16 re re) (*.p16 im im))) (+.p16 re im))
0.0ms	(+.p16 (.p16 im (-.p16 re im)) (/.p16 (.p16 re (-.p16 (.p16 re re) (.p16 im im))) (+.p16 re im)))
0.0ms	(-.p16 (.p16 re re) (.p16 im im))
0.0ms	(.p16 re (-.p16 (.p16 re re) (*.p16 im im)))

simplify408.0ms

Counts

13 → 17

Calls

13 calls:

Slowest

386.0ms	(.p16 re (-.p16 (.p16 (.p16 re re) (.p16 re re)) (.p16 (.p16 im im) (*.p16 im im))))
3.0ms	(+.p16 (.p16 re re) (.p16 im im))
3.0ms	(.p16 (neg.p16 (.p16 im im)) re)
3.0ms	(.p16 re (neg.p16 (.p16 im im)))
2.0ms	(+.p16 re im)

prune258.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes132.0ms

Accuracy

-∞% (-63.9b remaining)

Error of 0.1b against oracle of 64.0b and baseline of 64.0b

bsearch1.0ms

end0.0ms

sample2.4s

Algorithm

halfpoints

Results