Details

sample293.0ms

Algorithm

halfpoints

Results

simplify23.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

23.0ms

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

prune36.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize222.0ms

Local error

Found 1 expressions with local error:

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

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 4

Calls

1 calls:

Slowest

44.0ms

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

series1.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

0.0ms

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

simplify115.0ms

Counts

6 → 5

Calls

6 calls:

Slowest

66.0ms	(.p16 (-.p16 (.p16 re re) (*.p16 im im)) (+.p16 im re))
13.0ms	(*.p16 (-.p16 re im) im)
11.0ms	(*.p16 im (-.p16 re im))
9.0ms	(*.p16 (-.p16 re im) re)
8.0ms	(*.p16 (-.p16 re im) (+.p16 im re))

prune64.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize106.0ms

Local error

Found 1 expressions with local error:

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

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 3

Calls

1 calls:

Slowest

4.0ms

(-.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))

simplify183.0ms

Counts

6 → 4

Calls

6 calls:

Slowest

147.0ms	(-.p16 (.p16 (.p16 re re) (.p16 re re)) (.p16 (.p16 im im) (.p16 im im)))
23.0ms	(-.p16 (.p16 re re) (.p16 im im))
8.0ms	(+.p16 (.p16 re re) (.p16 im im))
2.0ms	(neg.p16 (*.p16 im im))
1.0ms	(-.p16 re im)

prune110.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize145.0ms

Local error

Found 3 expressions with local error:

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

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

2×	`associate-l/` `p16-flip--` `-commutative`
1×	`+-commutative` `p16-distribute-lft-out` `distribute-lft-out`

Counts

3 → 7

Calls

3 calls:

Slowest

7.0ms	(+.p16 (.p16 (-.p16 re im) im) (.p16 (-.p16 re im) re))
5.0ms	(*.p16 (-.p16 re im) im)
5.0ms	(*.p16 (-.p16 re im) re)

series0.0ms

Counts

3 → 3

Calls

3 calls:

Slowest

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

simplify103.0ms

Counts

10 → 10

Calls

10 calls:

Slowest

39.0ms	(.p16 (-.p16 (.p16 re re) (*.p16 im im)) re)
29.0ms	(.p16 (-.p16 (.p16 re re) (*.p16 im im)) im)
5.0ms	(*.p16 (-.p16 re im) im)
5.0ms	(*.p16 (-.p16 re im) re)
5.0ms	(*.p16 (-.p16 re im) im)

prune72.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize143.0ms

Local error

Found 3 expressions with local error:

1.0b	(/.p16 (.p16 (.p16 (+.p16 im re) (+.p16 im re)) (-.p16 re im)) (+.p16 re im))
0.2b	(*.p16 (+.p16 im re) (+.p16 im re))
0.1b	(.p16 (.p16 (+.p16 im re) (+.p16 im re)) (-.p16 re im))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 10

Calls

3 calls:

Slowest

15.0ms	(/.p16 (.p16 (.p16 (+.p16 im re) (+.p16 im re)) (-.p16 re im)) (+.p16 re im))
12.0ms	(.p16 (.p16 (+.p16 im re) (+.p16 im re)) (-.p16 re im))
8.0ms	(*.p16 (+.p16 im re) (+.p16 im re))

series0.0ms

Counts

3 → 3

Calls

3 calls:

Slowest

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

simplify2.2s

Counts

15 → 13

Calls

15 calls:

Slowest

708.0ms	(/.p16 (.p16 (.p16 (+.p16 im re) (+.p16 im re)) (-.p16 re im)) (+.p16 re im))
676.0ms	(/.p16 (.p16 (.p16 (+.p16 im re) (+.p16 im re)) (-.p16 re im)) (+.p16 re im))
563.0ms	(/.p16 (.p16 (.p16 (+.p16 im re) (+.p16 im re)) (-.p16 re im)) (+.p16 re im))
65.0ms	(.p16 (.p16 (+.p16 im re) (+.p16 im re)) (-.p16 (.p16 re re) (.p16 im im)))
46.0ms	(.p16 (neg.p16 im) (.p16 (+.p16 im re) (+.p16 im re)))

prune165.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes172.0ms

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