Details

sample192.0ms

Algorithm

halfpoints

Results

simplify12.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

12.0ms

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

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize123.0ms

Local error

Found 1 expressions with local error:

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

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 4

Calls

1 calls:

Slowest

10.0ms

(*.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))

simplify89.0ms

Counts

4 → 5

Calls

4 calls:

Slowest

57.0ms	(.p16 (-.p16 (.p16 re re) (*.p16 im im)) (+.p16 im re))
13.0ms	(*.p16 (-.p16 re im) (+.p16 im re))
9.0ms	(*.p16 (-.p16 re im) re)
9.0ms	(*.p16 re (-.p16 re im))

prune62.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize115.0ms

Local error

Found 3 expressions with local error:

0.4b	(+.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)

rewrite16.0ms

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

6.0ms	(+.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)

simplify122.0ms

Counts

9 → 10

Calls

9 calls:

Slowest

50.0ms	(.p16 (-.p16 (.p16 re re) (*.p16 im im)) im)
39.0ms	(.p16 (-.p16 (.p16 re re) (*.p16 im im)) re)
8.0ms	(*.p16 (-.p16 re im) re)
8.0ms	(*.p16 (-.p16 re im) re)
8.0ms	(*.p16 (-.p16 re im) re)

prune132.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize250.0ms

Local error

Found 4 expressions with local error:

1.0b	(/.p16 (.p16 re (.p16 (+.p16 im re) (-.p16 re im))) (+.p16 re im))
0.4b	(+.p16 (.p16 (-.p16 re im) im) (/.p16 (.p16 re (*.p16 (+.p16 im re) (-.p16 re im))) (+.p16 re im)))
0.2b	(.p16 re (.p16 (+.p16 im re) (-.p16 re im)))
0.1b	(*.p16 (-.p16 re im) im)

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 12

Calls

4 calls:

Slowest

16.0ms	(+.p16 (.p16 (-.p16 re im) im) (/.p16 (.p16 re (*.p16 (+.p16 im re) (-.p16 re im))) (+.p16 re im)))
14.0ms	(/.p16 (.p16 re (.p16 (+.p16 im re) (-.p16 re im))) (+.p16 re im))
12.0ms	(.p16 re (.p16 (+.p16 im re) (-.p16 re im)))
2.0ms	(*.p16 (-.p16 re im) im)

series0.0ms

Counts

4 → 4

Calls

4 calls:

Slowest

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

simplify3.1s

Counts

12 → 16

Calls

12 calls:

Slowest

783.0ms	(+.p16 (.p16 (-.p16 re im) im) (/.p16 (.p16 re (*.p16 (+.p16 im re) (-.p16 re im))) (+.p16 re im)))
633.0ms	(+.p16 (.p16 (-.p16 re im) im) (/.p16 (.p16 re (*.p16 (+.p16 im re) (-.p16 re im))) (+.p16 re im)))
627.0ms	(+.p16 (.p16 (-.p16 re im) im) (/.p16 (.p16 re (*.p16 (+.p16 im re) (-.p16 re im))) (+.p16 re im)))
607.0ms	(+.p16 (.p16 (-.p16 re im) im) (/.p16 (.p16 re (*.p16 (+.p16 im re) (-.p16 re im))) (+.p16 re im)))
330.0ms	(.p16 re (.p16 (+.p16 im re) (-.p16 (.p16 re re) (.p16 im im))))

prune238.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize255.0ms

Local error

Found 4 expressions with local error:

0.9b	(/.p16 (+.p16 re im) (*.p16 (+.p16 im re) (-.p16 re im)))
0.4b	(+.p16 (.p16 (-.p16 re im) im) (/.p16 re (/.p16 (+.p16 re im) (.p16 (+.p16 im re) (-.p16 re im)))))
0.2b	(/.p16 re (/.p16 (+.p16 re im) (*.p16 (+.p16 im re) (-.p16 re im))))
0.1b	(*.p16 (-.p16 re im) im)

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

3×	`p16-flip--` `associate-/r/`
2×	`associate-/r` `associate-r/`
1×	`+-commutative` `associate-l/` `-commutative`

Counts

4 → 7

Calls

4 calls:

Slowest

9.0ms	(/.p16 (+.p16 re im) (*.p16 (+.p16 im re) (-.p16 re im)))
8.0ms	(+.p16 (.p16 (-.p16 re im) im) (/.p16 re (/.p16 (+.p16 re im) (.p16 (+.p16 im re) (-.p16 re im)))))
6.0ms	(/.p16 re (/.p16 (+.p16 re im) (*.p16 (+.p16 im re) (-.p16 re im))))
5.0ms	(*.p16 (-.p16 re im) im)

series0.0ms

Counts

4 → 4

Calls

4 calls:

Slowest

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

simplify63.0ms

Counts

5 → 11

Calls

5 calls:

Slowest

45.0ms	(.p16 (-.p16 (.p16 re re) (*.p16 im im)) im)
10.0ms	(*.p16 (+.p16 im re) (-.p16 re im))
2.0ms	(-.p16 re im)
2.0ms	(+.p16 re im)
2.0ms	(+.p16 re im)

prune118.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes161.0ms

Accuracy

-∞% (-63.9b remaining)

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

bsearch1.0ms

end0.0ms

sample2.0s

Algorithm

halfpoints

Results