Details

sample119.0ms

Algorithm

halfpoints

Results

simplify208.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

208.0ms

(+.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))

prune39.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize365.0ms

Local error

Found 4 expressions with local error:

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

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 8

Calls

4 calls:

Slowest

7.0ms	(+.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))
6.0ms	(.p16 (-.p16 (.p16 x.re x.re) (*.p16 x.im x.im)) x.im)
6.0ms	(-.p16 (.p16 x.re x.re) (.p16 x.im x.im))
5.0ms	(.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 (.p16 x.re x.im) (*.p16 x.im x.re)) x.re)
0.0ms	(.p16 (-.p16 (.p16 x.re x.re) (*.p16 x.im x.im)) x.im)
0.0ms	(-.p16 (.p16 x.re x.re) (.p16 x.im x.im))

simplify1.7s

Counts

8 → 12

Calls

8 calls:

Slowest

534.0ms	(.p16 (-.p16 (.p16 (.p16 x.re x.re) (.p16 x.re x.re)) (.p16 (.p16 x.im x.im) (*.p16 x.im x.im))) x.im)
332.0ms	(+.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))
274.0ms	(+.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))
267.0ms	(+.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))
252.0ms	(+.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))

prune311.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.1b

localize329.0ms

Local error

Found 4 expressions with local error:

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

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 6

Calls

4 calls:

Slowest

9.0ms	(+.p16 (.p16 (.p16 (+.p16 x.re x.im) (-.p16 x.re x.im)) x.im) (.p16 (+.p16 (.p16 x.re x.im) (*.p16 x.im x.re)) x.re))
8.0ms	(.p16 (.p16 (+.p16 x.re x.im) (-.p16 x.re x.im)) x.im)
7.0ms	(+.p16 (.p16 x.re x.im) (.p16 x.im x.re))
5.0ms	(.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.im) (-.p16 x.re x.im)) x.im) (.p16 (+.p16 (.p16 x.re x.im) (*.p16 x.im x.re)) x.re))
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))
0.0ms	(.p16 (.p16 (+.p16 x.re x.im) (-.p16 x.re x.im)) x.im)

simplify536.0ms

Counts

10 → 10

Calls

10 calls:

Slowest

515.0ms	(.p16 (.p16 (+.p16 x.re x.im) (-.p16 (.p16 x.re x.re) (.p16 x.im x.im))) x.im)
3.0ms	(-.p16 x.re x.im)
2.0ms	(-.p16 x.re x.im)
2.0ms	(-.p16 x.re x.im)
2.0ms	(-.p16 x.re x.im)

prune194.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize179.0ms

Local error

Found 4 expressions with local error:

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

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 15

Calls

4 calls:

Slowest

9.0ms	(*.p16 (+.p16 x.im x.re) (-.p16 x.re x.im))
8.0ms	(+.p16 (.p16 (+.p16 x.im x.re) (-.p16 x.re x.im)) (.p16 x.re (+.p16 x.re x.re)))
6.0ms	(*.p16 x.re (+.p16 x.re x.re))
4.0ms	(.p16 x.im (+.p16 (.p16 (+.p16 x.im x.re) (-.p16 x.re x.im)) (*.p16 x.re (+.p16 x.re x.re))))

series0.0ms

Counts

4 → 4

Calls

4 calls:

Slowest

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

simplify2.2s

Counts

15 → 19

Calls

15 calls:

Slowest

580.0ms	(.p16 x.im (+.p16 (.p16 (+.p16 x.im x.re) (-.p16 x.re x.im)) (*.p16 x.re (+.p16 x.re x.re))))
534.0ms	(.p16 x.im (+.p16 (.p16 (+.p16 x.im x.re) (-.p16 x.re x.im)) (*.p16 x.re (+.p16 x.re x.re))))
533.0ms	(.p16 x.im (+.p16 (.p16 (+.p16 x.im x.re) (-.p16 x.re x.im)) (*.p16 x.re (+.p16 x.re x.re))))
461.0ms	(.p16 x.im (+.p16 (.p16 (+.p16 x.im x.re) (-.p16 x.re x.im)) (*.p16 x.re (+.p16 x.re x.re))))
19.0ms	(.p16 x.im (.p16 x.re (+.p16 x.re x.re)))

prune487.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize298.0ms

Local error

Found 4 expressions with local error:

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

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

5×	`distribute-rgt-in` `distribute-lft-in`
4×	`associate-+l+`
3×	`associate-+r+`
2×	`+-commutative` `*-commutative`

Counts

4 → 15

Calls

4 calls:

Slowest

11.0ms	(+.p16 (.p16 (neg.p16 x.im) (+.p16 x.im x.re)) (.p16 x.re (+.p16 x.re x.re)))
6.0ms	(*.p16 x.re (+.p16 x.im x.re))
6.0ms	(.p16 x.im (+.p16 (.p16 x.re (+.p16 x.im x.re)) (+.p16 (.p16 (neg.p16 x.im) (+.p16 x.im x.re)) (.p16 x.re (+.p16 x.re x.re)))))
4.0ms	(+.p16 (.p16 x.re (+.p16 x.im x.re)) (+.p16 (.p16 (neg.p16 x.im) (+.p16 x.im x.re)) (*.p16 x.re (+.p16 x.re x.re))))

series0.0ms

Counts

4 → 4

Calls

4 calls:

Slowest

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

simplify256.0ms

Counts

15 → 19

Calls

15 calls:

Slowest

115.0ms	(.p16 x.im (+.p16 (.p16 (neg.p16 x.im) (+.p16 x.im x.re)) (*.p16 x.re (+.p16 x.re x.re))))
83.0ms	(.p16 (+.p16 (.p16 (neg.p16 x.im) (+.p16 x.im x.re)) (*.p16 x.re (+.p16 x.re x.re))) x.im)
9.0ms	(*.p16 x.re (+.p16 x.im x.re))
8.0ms	(*.p16 x.re (+.p16 x.im x.re))
8.0ms	(*.p16 x.re (+.p16 x.im x.re))

prune573.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes266.0ms

Accuracy

-∞% (-63.6b remaining)

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

bsearch1.0ms

end0.0ms

sample2.7s

Algorithm

halfpoints

Results