Details

sample344.0ms

Algorithm

halfpoints

Results

simplify1.2s

Counts: 1 → 1

prune28.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize155.0ms

Local error

Found 4 expressions with local error:

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

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 17

Calls

4 calls:

Slowest

5.0ms	(.p16 x.re (-.p16 (.p16 (+.p16 x.im x.re) (-.p16 x.re x.im)) (*.p16 (+.p16 x.im x.im) x.im)))
4.0ms	(*.p16 (+.p16 x.im x.re) (-.p16 x.re x.im))
3.0ms	(*.p16 (+.p16 x.im x.im) x.im)
3.0ms	(-.p16 (.p16 (+.p16 x.im x.re) (-.p16 x.re x.im)) (.p16 (+.p16 x.im x.im) x.im))

series0.0ms

Counts

4 → 4

Calls

4 calls:

Slowest

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

simplify586.0ms

Counts: 21 → 21

prune481.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize295.0ms

Local error

Found 4 expressions with local error:

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

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 9

Calls

4 calls:

Slowest

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

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

simplify10.2s

Counts: 13 → 13

prune231.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize137.0ms

Local error

Found 4 expressions with local error:

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

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 17

Calls

4 calls:

Slowest

10.0ms	(*.p16 (-.p16 x.re x.im) (+.p16 x.im x.re))
3.0ms	(*.p16 (+.p16 x.im x.im) x.im)
3.0ms	(.p16 x.re (-.p16 (.p16 (-.p16 x.re x.im) (+.p16 x.im x.re)) (*.p16 (+.p16 x.im x.im) x.im)))
2.0ms	(-.p16 (.p16 (-.p16 x.re x.im) (+.p16 x.im x.re)) (.p16 (+.p16 x.im x.im) x.im))

series0.0ms

Counts

4 → 4

Calls

4 calls:

Slowest

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

simplify487.0ms

Counts: 21 → 21

prune434.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

localize197.0ms

Local error

Found 4 expressions with local error:

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

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 19

Calls

4 calls:

Slowest

5.0ms	(+.p16 (.p16 x.re (.p16 (-.p16 x.re x.im) (+.p16 x.im x.re))) (.p16 x.re (neg.p16 (.p16 (+.p16 x.im x.im) x.im))))
4.0ms	(.p16 x.re (.p16 (-.p16 x.re x.im) (+.p16 x.im x.re)))
4.0ms	(*.p16 (-.p16 x.re x.im) (+.p16 x.im x.re))
2.0ms	(.p16 x.re (neg.p16 (.p16 (+.p16 x.im x.im) x.im)))

series0.0ms

Counts

4 → 4

Calls

4 calls:

Slowest

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

simplify2.6s

Counts: 23 → 23

prune454.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

regimes303.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch2.0ms

end0.0ms

sample2.7s

Algorithm

halfpoints

Results