Details

sample143.0ms

Algorithm

halfpoints

Results

simplify165.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

165.0ms

(-.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))

prune34.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize302.0ms

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

rewrite31.0ms

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

14.0ms	(.p16 (-.p16 (.p16 x.re x.re) (*.p16 x.im x.im)) x.re)
6.0ms	(-.p16 (.p16 x.re x.re) (.p16 x.im x.im))
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.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))

simplify1.0s

Counts

8 → 13

Calls

8 calls:

Slowest

467.0ms	(.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.re)
162.0ms	(-.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))
158.0ms	(-.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))
131.0ms	(-.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))
105.0ms	(-.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))

prune246.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.2b

localize175.0ms

Local error

Found 4 expressions with local error:

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

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 6

Calls

4 calls:

Slowest

3.0ms	(+.p16 (.p16 x.re x.im) (.p16 x.im x.re))
3.0ms	(-.p16 (.p16 (+.p16 x.re x.im) (.p16 (-.p16 x.re x.im) x.re)) (.p16 (+.p16 (.p16 x.re x.im) (*.p16 x.im x.re)) x.im))
3.0ms	(*.p16 (-.p16 x.re x.im) x.re)
2.0ms	(.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 x.re x.im) (.p16 (-.p16 x.re 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.im) (*.p16 x.im x.re)) x.im)
0.0ms	(+.p16 (.p16 x.re x.im) (.p16 x.im x.re))
0.0ms	(*.p16 (-.p16 x.re x.im) x.re)

simplify34.0ms

Counts

5 → 10

Calls

5 calls:

Slowest

28.0ms	(.p16 (-.p16 (.p16 x.re x.re) (*.p16 x.im x.im)) x.re)
1.0ms	(+.p16 x.re x.im)
1.0ms	(+.p16 x.re x.im)
1.0ms	(+.p16 x.re x.im)
1.0ms	(+.p16 x.re x.im)

prune113.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.2b

localize240.0ms

Local error

Found 4 expressions with local error:

1.0b	(/.p16 (.p16 x.re (.p16 (+.p16 x.im x.re) (-.p16 x.re x.im))) (+.p16 x.re x.im))
0.3b	(-.p16 (.p16 (+.p16 x.re x.im) (/.p16 (.p16 x.re (.p16 (+.p16 x.im x.re) (-.p16 x.re x.im))) (+.p16 x.re x.im))) (.p16 (+.p16 (.p16 x.re x.im) (.p16 x.im x.re)) x.im))
0.2b	(.p16 (+.p16 (.p16 x.re x.im) (*.p16 x.im x.re)) x.im)
0.2b	(.p16 x.re (.p16 (+.p16 x.im x.re) (-.p16 x.re x.im)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 12

Calls

4 calls:

Slowest

8.0ms	(/.p16 (.p16 x.re (.p16 (+.p16 x.im x.re) (-.p16 x.re x.im))) (+.p16 x.re x.im))
6.0ms	(.p16 x.re (.p16 (+.p16 x.im x.re) (-.p16 x.re x.im)))
2.0ms	(-.p16 (.p16 (+.p16 x.re x.im) (/.p16 (.p16 x.re (.p16 (+.p16 x.im x.re) (-.p16 x.re x.im))) (+.p16 x.re x.im))) (.p16 (+.p16 (.p16 x.re x.im) (.p16 x.im x.re)) x.im))
2.0ms	(.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 x.re x.im) (/.p16 (.p16 x.re (.p16 (+.p16 x.im x.re) (-.p16 x.re x.im))) (+.p16 x.re x.im))) (.p16 (+.p16 (.p16 x.re x.im) (.p16 x.im x.re)) x.im))
0.0ms	(/.p16 (.p16 x.re (.p16 (+.p16 x.im x.re) (-.p16 x.re x.im))) (+.p16 x.re x.im))
0.0ms	(.p16 (+.p16 (.p16 x.re x.im) (*.p16 x.im x.re)) x.im)
0.0ms	(.p16 x.re (.p16 (+.p16 x.im x.re) (-.p16 x.re x.im)))

simplify1.0s

Counts

11 → 16

Calls

11 calls:

Slowest

262.0ms	(.p16 x.re (.p16 (+.p16 x.im x.re) (-.p16 (.p16 x.re x.re) (.p16 x.im x.im))))
202.0ms	(-.p16 (.p16 (+.p16 x.re x.im) (/.p16 (.p16 x.re (.p16 (+.p16 x.im x.re) (-.p16 x.re x.im))) (+.p16 x.re x.im))) (.p16 (+.p16 (.p16 x.re x.im) (.p16 x.im x.re)) x.im))
194.0ms	(-.p16 (.p16 (+.p16 x.re x.im) (/.p16 (.p16 x.re (.p16 (+.p16 x.im x.re) (-.p16 x.re x.im))) (+.p16 x.re x.im))) (.p16 (+.p16 (.p16 x.re x.im) (.p16 x.im x.re)) x.im))
167.0ms	(-.p16 (.p16 (+.p16 x.re x.im) (/.p16 (.p16 x.re (.p16 (+.p16 x.im x.re) (-.p16 x.re x.im))) (+.p16 x.re x.im))) (.p16 (+.p16 (.p16 x.re x.im) (.p16 x.im x.re)) x.im))
144.0ms	(-.p16 (.p16 (+.p16 x.re x.im) (/.p16 (.p16 x.re (.p16 (+.p16 x.im x.re) (-.p16 x.re x.im))) (+.p16 x.re x.im))) (.p16 (+.p16 (.p16 x.re x.im) (.p16 x.im x.re)) x.im))

prune278.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.1b

localize246.0ms

Local error

Found 4 expressions with local error:

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

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 16

Calls

4 calls:

Slowest

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

series0.0ms

Counts

4 → 4

Calls

4 calls:

Slowest

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

simplify763.0ms

Counts

14 → 20

Calls

14 calls:

Slowest

184.0ms	(-.p16 (.p16 x.re (.p16 (+.p16 x.im x.re) (-.p16 x.re x.im))) (.p16 x.im (.p16 (+.p16 x.re x.re) x.im)))
181.0ms	(-.p16 (.p16 x.re (.p16 (+.p16 x.im x.re) (-.p16 x.re x.im))) (.p16 x.im (.p16 (+.p16 x.re x.re) x.im)))
166.0ms	(-.p16 (.p16 x.re (.p16 (+.p16 x.im x.re) (-.p16 x.re x.im))) (.p16 x.im (.p16 (+.p16 x.re x.re) x.im)))
144.0ms	(-.p16 (.p16 x.re (.p16 (+.p16 x.im x.re) (-.p16 x.re x.im))) (.p16 x.im (.p16 (+.p16 x.re x.re) x.im)))
14.0ms	(.p16 x.re (.p16 (neg.p16 x.im) (+.p16 x.im x.re)))

prune461.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.1b

regimes310.0ms

Accuracy

-∞% (-63.6b remaining)

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

bsearch1.0ms

end0.0ms

sample2.6s

Algorithm

halfpoints

Results