Details

sample162.0ms

Algorithm

halfpoints

Results

simplify19.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

19.0ms

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

prune99.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize120.0ms

Local error

Found 1 expressions with local error:

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

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 4

Calls

1 calls:

Slowest

9.0ms

(*.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))

simplify144.0ms

Counts

6 → 5

Calls

6 calls:

Slowest

87.0ms	(.p16 (-.p16 (.p16 re re) (*.p16 im im)) (+.p16 im re))
14.0ms	(*.p16 (-.p16 re im) (+.p16 im re))
12.0ms	(*.p16 (-.p16 re im) im)
12.0ms	(*.p16 im (-.p16 re im))
10.0ms	(*.p16 re (-.p16 re im))

prune93.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize104.0ms

Local error

Found 1 expressions with local error:

0.2b	(-.p16 (.p16 re re) (.p16 im im))

rewrite6.0ms

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))

simplify101.0ms

Counts

6 → 4

Calls

6 calls:

Slowest

75.0ms	(-.p16 (.p16 (.p16 re re) (.p16 re re)) (.p16 (.p16 im im) (.p16 im im)))
12.0ms	(-.p16 (.p16 re re) (.p16 im im))
6.0ms	(+.p16 (.p16 re re) (.p16 im im))
3.0ms	(neg.p16 (*.p16 im im))
2.0ms	(+.p16 re im)

prune61.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize76.0ms

Local error

Found 3 expressions with local error:

0.3b	(+.p16 (.p16 im (-.p16 re im)) (.p16 re (-.p16 re im)))
0.2b	(*.p16 re (-.p16 re im))
0.1b	(*.p16 im (-.p16 re im))

rewrite13.0ms

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

5.0ms	(+.p16 (.p16 im (-.p16 re im)) (.p16 re (-.p16 re im)))
4.0ms	(*.p16 im (-.p16 re im))
3.0ms	(*.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))

simplify177.0ms

Counts

21 → 17

Calls

21 calls:

Slowest

43.0ms	(.p16 im (-.p16 (.p16 re re) (*.p16 im im)))
23.0ms	(.p16 re (-.p16 (.p16 re re) (*.p16 im im)))
21.0ms	(+.p16 (.p16 im (-.p16 re im)) (.p16 re re))
15.0ms	(+.p16 (.p16 im (-.p16 re im)) (.p16 re re))
15.0ms	(+.p16 (.p16 im (neg.p16 im)) (.p16 re (-.p16 re im)))

prune287.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize149.0ms

Local error

Found 3 expressions with local error:

0.3b	(+.p16 (.p16 re re) (.p16 re (neg.p16 im)))
0.3b	(+.p16 (.p16 im (-.p16 re im)) (+.p16 (.p16 re re) (*.p16 re (neg.p16 im))))
0.1b	(*.p16 im (-.p16 re im))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 11

Calls

3 calls:

Slowest

14.0ms	(+.p16 (.p16 im (-.p16 re im)) (+.p16 (.p16 re re) (*.p16 re (neg.p16 im))))
8.0ms	(+.p16 (.p16 re re) (.p16 re (neg.p16 im)))
6.0ms	(*.p16 im (-.p16 re im))

series0.0ms

Counts

3 → 3

Calls

3 calls:

Slowest

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

simplify108.0ms

Counts

16 → 14

Calls

16 calls:

Slowest

25.0ms	(.p16 im (-.p16 (.p16 re re) (*.p16 im im)))
20.0ms	(+.p16 (.p16 im (neg.p16 im)) (+.p16 (.p16 re re) (*.p16 re (neg.p16 im))))
17.0ms	(+.p16 (.p16 (neg.p16 im) im) (+.p16 (.p16 re re) (*.p16 re (neg.p16 im))))
15.0ms	(+.p16 (.p16 im (-.p16 re im)) (.p16 re re))
5.0ms	(+.p16 re (neg.p16 im))

prune304.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes143.0ms

Accuracy

-∞% (-63.9b remaining)

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

bsearch1.0ms

end0.0ms

sample2.3s

Algorithm

halfpoints

Results