Details

sample62.0ms

Algorithm

halfpoints

Results

simplify178.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

178.0ms

(+.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))

prune21.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize219.0ms

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))

rewrite29.0ms

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))
9.0ms	(+.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))

simplify2.0s

Counts

15 → 19

Calls

15 calls:

Slowest

511.0ms	(.p16 x.im (+.p16 (.p16 (+.p16 x.im x.re) (-.p16 x.re x.im)) (*.p16 x.re (+.p16 x.re x.re))))
498.0ms	(.p16 x.im (+.p16 (.p16 (+.p16 x.im x.re) (-.p16 x.re x.im)) (*.p16 x.re (+.p16 x.re x.re))))
468.0ms	(.p16 x.im (+.p16 (.p16 (+.p16 x.im x.re) (-.p16 x.re x.im)) (*.p16 x.re (+.p16 x.re x.re))))
403.0ms	(.p16 x.im (+.p16 (.p16 (+.p16 x.im x.re) (-.p16 x.re x.im)) (*.p16 x.re (+.p16 x.re x.re))))
18.0ms	(.p16 x.im (.p16 x.re (+.p16 x.re x.re)))

prune442.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.1b

localize229.0ms

Local error

Found 4 expressions with local error:

0.3b	(-.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)

rewrite46.0ms

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

16.0ms	(+.p16 (+.p16 x.re x.re) x.re)
14.0ms	(*.p16 x.re (+.p16 (+.p16 x.re x.re) x.re))
4.0ms	(.p16 (-.p16 (.p16 x.re (+.p16 (+.p16 x.re x.re) x.re)) (*.p16 x.im x.im)) x.im)
4.0ms	(-.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 x.re (+.p16 (+.p16 x.re x.re) x.re))
0.0ms	(+.p16 (+.p16 x.re x.re) x.re)

simplify2.3s

Counts

9 → 15

Calls

9 calls:

Slowest

638.0ms	(.p16 (-.p16 (.p16 x.re (+.p16 (+.p16 x.re x.re) x.re)) (*.p16 x.im x.im)) x.im)
471.0ms	(.p16 (-.p16 (.p16 x.re (+.p16 (+.p16 x.re x.re) x.re)) (*.p16 x.im x.im)) x.im)
455.0ms	(.p16 (-.p16 (.p16 x.re (+.p16 (+.p16 x.re x.re) x.re)) (*.p16 x.im x.im)) x.im)
449.0ms	(.p16 (-.p16 (.p16 x.re (+.p16 (+.p16 x.re x.re) x.re)) (*.p16 x.im x.im)) x.im)
226.0ms	(.p16 (-.p16 (.p16 (.p16 x.re (+.p16 (+.p16 x.re x.re) x.re)) (.p16 x.re (+.p16 (+.p16 x.re x.re) x.re))) (.p16 (.p16 x.im x.im) (*.p16 x.im x.im))) x.im)

prune249.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.1b

localize166.0ms

Local error

Found 4 expressions with local error:

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

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 8

Calls

4 calls:

Slowest

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

series0.0ms

Counts

4 → 4

Calls

4 calls:

Slowest

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

simplify24.0ms

Counts

8 → 12

Calls

8 calls:

Slowest

7.0ms	(*.p16 (+.p16 x.re x.re) x.re)
4.0ms	(*.p16 (+.p16 x.re x.re) x.re)
4.0ms	(*.p16 (+.p16 x.re x.re) x.re)
4.0ms	(*.p16 (+.p16 x.re x.re) x.re)
2.0ms	(neg.p16 (*.p16 x.im x.im))

prune212.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.1b

localize205.0ms

Local error

Found 4 expressions with local error:

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

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 9

Calls

4 calls:

Slowest

15.0ms	(*.p16 (+.p16 x.re x.im) (-.p16 x.re x.im))
9.0ms	(+.p16 (.p16 (+.p16 x.re x.re) x.re) (.p16 (+.p16 x.re x.im) (-.p16 x.re x.im)))
5.0ms	(.p16 (+.p16 (.p16 (+.p16 x.re x.re) x.re) (*.p16 (+.p16 x.re x.im) (-.p16 x.re x.im))) x.im)
3.0ms	(*.p16 (+.p16 x.re x.re) x.re)

series0.0ms

Counts

4 → 4

Calls

4 calls:

Slowest

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

simplify25.0ms

Counts

13 → 13

Calls

13 calls:

Slowest

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

prune197.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.1b

regimes215.0ms

Accuracy

-∞% (-63.6b remaining)

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

bsearch2.0ms

end0.0ms

sample2.5s

Algorithm

halfpoints

Results