Details

sample135.0ms

Algorithm

halfpoints

Results

simplify3.9s

Counts: 1 → 1

prune27.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize213.0ms

Local error

Found 4 expressions with local error:

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

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

2×	`+-commutative`
1×	`sub-neg` `p16-flip--` `*-commutative` `difference-of-squares`

Counts

4 → 6

Calls

4 calls:

Slowest

11.0ms	(+.p16 (.p16 (-.p16 (.p16 x.re x.re) (.p16 x.im x.im)) x.im) (.p16 (+.p16 (.p16 x.re x.im) (.p16 x.im x.re)) x.re))
4.0ms	(+.p16 (.p16 x.re x.im) (.p16 x.im x.re))
3.0ms	(-.p16 (.p16 x.re x.re) (.p16 x.im x.im))
2.0ms	(.p16 (+.p16 (.p16 x.re x.im) (*.p16 x.im x.re)) x.re)

series0.0ms

Counts

4 → 4

Calls

4 calls:

Slowest

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

simplify1.5s

Counts: 10 → 10

prune218.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize213.0ms

Local error

Found 4 expressions with local error:

0.3b	(+.p16 (.p16 x.re (+.p16 x.re x.re)) (.p16 (-.p16 x.re x.im) (+.p16 x.im x.re)))
0.2b	(.p16 x.im (+.p16 (.p16 x.re (+.p16 x.re x.re)) (*.p16 (-.p16 x.re x.im) (+.p16 x.im x.re))))
0.1b	(*.p16 (-.p16 x.re x.im) (+.p16 x.im x.re))
0.0b	(*.p16 x.re (+.p16 x.re x.re))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 15

Calls

4 calls:

Slowest

8.0ms	(*.p16 (-.p16 x.re x.im) (+.p16 x.im x.re))
6.0ms	(+.p16 (.p16 x.re (+.p16 x.re x.re)) (.p16 (-.p16 x.re x.im) (+.p16 x.im x.re)))
5.0ms	(*.p16 x.re (+.p16 x.re x.re))
4.0ms	(.p16 x.im (+.p16 (.p16 x.re (+.p16 x.re x.re)) (*.p16 (-.p16 x.re x.im) (+.p16 x.im x.re))))

series0.0ms

Counts

4 → 4

Calls

4 calls:

Slowest

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

simplify1.1s

Counts: 19 → 19

prune286.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize154.0ms

Local error

Found 4 expressions with local error:

0.4b	(-.p16 (.p16 x.re (+.p16 (+.p16 x.re x.re) x.re)) (.p16 x.im x.im))
0.2b	(.p16 (-.p16 (.p16 x.re (+.p16 (+.p16 x.re x.re) x.re)) (*.p16 x.im x.im)) x.im)
0.1b	(*.p16 x.re (+.p16 (+.p16 x.re x.re) x.re))
0.0b	(+.p16 (+.p16 x.re x.re) x.re)

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 11

Calls

4 calls:

Slowest

11.0ms	(.p16 (-.p16 (.p16 x.re (+.p16 (+.p16 x.re x.re) x.re)) (*.p16 x.im x.im)) x.im)
10.0ms	(+.p16 (+.p16 x.re x.re) x.re)
7.0ms	(*.p16 x.re (+.p16 (+.p16 x.re x.re) x.re))
2.0ms	(-.p16 (.p16 x.re (+.p16 (+.p16 x.re x.re) x.re)) (.p16 x.im x.im))

series0.0ms

Counts

4 → 4

Calls

4 calls:

Slowest

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

simplify3.1s

Counts: 15 → 15

prune188.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.1b

localize201.0ms

Local error

Found 4 expressions with local error:

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

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 12

Calls

4 calls:

Slowest

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

series0.0ms

Counts

4 → 4

Calls

4 calls:

Slowest

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

simplify823.0ms

Counts: 16 → 16

prune171.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.1b

regimes257.0ms

Accuracy

-∞% (-63.6b remaining)

Error of 0.4b against oracle of 64.0b and baseline of 64.0b

bsearch1.0ms

end0.0ms

sample3.1s

Algorithm

halfpoints

Results