Details

sample89.0ms

Algorithm

halfpoints

Results

simplify168.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

168.0ms

(-.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))

prune38.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize341.0ms

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.re) (*.p16 x.im x.im)) x.re)
0.1b	(.p16 (+.p16 (.p16 x.re x.im) (*.p16 x.im x.re)) x.im)

rewrite33.0ms

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

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

simplify927.0ms

Counts

8 → 13

Calls

8 calls:

Slowest

462.0ms	(.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)
148.0ms	(-.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))
136.0ms	(-.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))
92.0ms	(-.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))
81.0ms	(-.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))

prune298.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.2b

localize195.0ms

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

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 8

Calls

4 calls:

Slowest

10.0ms	(.p16 (+.p16 x.re x.im) (.p16 (-.p16 x.re x.im) x.re))
6.0ms	(-.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))
5.0ms	(*.p16 (-.p16 x.re x.im) x.re)
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 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 x.re x.im) (.p16 (-.p16 x.re x.im) x.re))
0.0ms	(.p16 (+.p16 (.p16 x.re x.im) (*.p16 x.im x.re)) x.im)
0.0ms	(*.p16 (-.p16 x.re x.im) x.re)

simplify64.0ms

Counts

6 → 12

Calls

6 calls:

Slowest

53.0ms	(.p16 (-.p16 (.p16 x.re x.re) (*.p16 x.im x.im)) x.re)
2.0ms	(+.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)

prune229.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.2b

localize320.0ms

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

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 19

Calls

4 calls:

Slowest

12.0ms	(.p16 x.re (.p16 (+.p16 x.im x.re) (-.p16 x.re x.im)))
11.0ms	(-.p16 (.p16 x.re (.p16 (+.p16 x.im x.re) (-.p16 x.re x.im))) (.p16 x.im (.p16 (+.p16 x.im x.im) x.re)))
9.0ms	(.p16 x.im (.p16 (+.p16 x.im x.im) x.re))
9.0ms	(*.p16 (+.p16 x.im x.re) (-.p16 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.im x.im) x.re)))
0.0ms	(.p16 x.re (.p16 (+.p16 x.im x.re) (-.p16 x.re x.im)))
0.0ms	(*.p16 (+.p16 x.im x.re) (-.p16 x.re x.im))
0.0ms	(.p16 x.im (.p16 (+.p16 x.im x.im) x.re))

simplify991.0ms

Counts

17 → 23

Calls

17 calls:

Slowest

215.0ms	(-.p16 (.p16 x.re (.p16 (+.p16 x.im x.re) (-.p16 x.re x.im))) (.p16 x.im (.p16 (+.p16 x.im x.im) x.re)))
215.0ms	(-.p16 (.p16 x.re (.p16 (+.p16 x.im x.re) (-.p16 x.re x.im))) (.p16 x.im (.p16 (+.p16 x.im x.im) x.re)))
186.0ms	(-.p16 (.p16 x.re (.p16 (+.p16 x.im x.re) (-.p16 x.re x.im))) (.p16 x.im (.p16 (+.p16 x.im x.im) x.re)))
170.0ms	(-.p16 (.p16 x.re (.p16 (+.p16 x.im x.re) (-.p16 x.re x.im))) (.p16 x.im (.p16 (+.p16 x.im x.im) x.re)))
29.0ms	(.p16 x.re (.p16 (neg.p16 x.im) (+.p16 x.im x.re)))

prune731.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize213.0ms

Local error

Found 4 expressions with local error:

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

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 19

Calls

4 calls:

Slowest

13.0ms	(.p16 x.re (.p16 (+.p16 x.im x.re) (-.p16 x.re x.im)))
5.0ms	(-.p16 (.p16 x.re (.p16 (+.p16 x.im x.re) (-.p16 x.re x.im))) (.p16 (.p16 x.im (+.p16 x.im x.im)) x.re))
4.0ms	(.p16 (.p16 x.im (+.p16 x.im x.im)) x.re)
4.0ms	(*.p16 (+.p16 x.im x.re) (-.p16 x.re x.im))

series0.0ms

Counts

4 → 4

Calls

4 calls:

Slowest

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

simplify165.0ms

Counts

13 → 23

Calls

13 calls:

Slowest

29.0ms	(.p16 x.re (.p16 (neg.p16 x.im) (+.p16 x.im x.re)))
27.0ms	(.p16 (.p16 (neg.p16 x.im) (+.p16 x.im x.re)) x.re)
25.0ms	(.p16 x.re (.p16 (+.p16 x.im x.re) (neg.p16 x.im)))
19.0ms	(.p16 (.p16 (+.p16 x.im x.re) (neg.p16 x.im)) x.re)
17.0ms	(.p16 (.p16 x.re (+.p16 x.im x.re)) x.re)

prune674.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

regimes314.0ms

Accuracy

-∞% (-63.6b remaining)

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

bsearch2.0ms

end0.0ms

sample3.0s

Algorithm

halfpoints

Results