Details

sample122.0ms

Algorithm

halfpoints

Results

simplify269.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

269.0ms

(+.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))

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize258.0ms

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))

rewrite26.0ms

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

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

simplify1.5s

Counts

15 → 19

Calls

15 calls:

Slowest

436.0ms	(.p16 x.im (+.p16 (.p16 (+.p16 x.im x.re) (-.p16 x.re x.im)) (*.p16 x.re (+.p16 x.re x.re))))
407.0ms	(.p16 x.im (+.p16 (.p16 (+.p16 x.im x.re) (-.p16 x.re x.im)) (*.p16 x.re (+.p16 x.re x.re))))
330.0ms	(.p16 x.im (+.p16 (.p16 (+.p16 x.im x.re) (-.p16 x.re x.im)) (*.p16 x.re (+.p16 x.re x.re))))
297.0ms	(.p16 x.im (+.p16 (.p16 (+.p16 x.im x.re) (-.p16 x.re x.im)) (*.p16 x.re (+.p16 x.re x.re))))
17.0ms	(.p16 x.im (.p16 x.re (+.p16 x.re x.re)))

prune418.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize230.0ms

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)

rewrite48.0ms

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

26.0ms	(+.p16 (+.p16 x.re x.re) x.re)
13.0ms	(*.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)

simplify2.9s

Counts

9 → 15

Calls

9 calls:

Slowest

688.0ms	(.p16 (-.p16 (.p16 x.re (+.p16 (+.p16 x.re x.re) x.re)) (*.p16 x.im x.im)) x.im)
676.0ms	(.p16 (-.p16 (.p16 x.re (+.p16 (+.p16 x.re x.re) x.re)) (*.p16 x.im x.im)) x.im)
642.0ms	(.p16 (-.p16 (.p16 x.re (+.p16 (+.p16 x.re x.re) x.re)) (*.p16 x.im x.im)) x.im)
640.0ms	(.p16 (-.p16 (.p16 x.re (+.p16 (+.p16 x.re x.re) x.re)) (*.p16 x.im x.im)) x.im)
220.0ms	(.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)

prune321.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.1b

localize242.0ms

Local error

Found 4 expressions with local error:

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

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 8

Calls

4 calls:

Slowest

16.0ms	(.p16 (-.p16 (+.p16 (.p16 (+.p16 x.re x.re) x.re) (.p16 x.re x.re)) (.p16 x.im x.im)) x.im)
7.0ms	(+.p16 (.p16 (+.p16 x.re x.re) x.re) (.p16 x.re x.re))
7.0ms	(-.p16 (+.p16 (.p16 (+.p16 x.re x.re) x.re) (.p16 x.re x.re)) (*.p16 x.im x.im))
7.0ms	(*.p16 (+.p16 x.re x.re) x.re)

series0.0ms

Counts

4 → 4

Calls

4 calls:

Slowest

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

simplify271.0ms

Counts

7 → 12

Calls

7 calls:

Slowest

256.0ms	(.p16 (-.p16 (.p16 (+.p16 (.p16 (+.p16 x.re x.re) x.re) (.p16 x.re x.re)) (+.p16 (.p16 (+.p16 x.re x.re) x.re) (.p16 x.re x.re))) (.p16 (.p16 x.im x.im) (*.p16 x.im x.im))) x.im)
4.0ms	(+.p16 (+.p16 x.re x.re) x.re)
4.0ms	(*.p16 (+.p16 x.re x.re) x.re)
1.0ms	(*.p16 x.re x.re)
1.0ms	(*.p16 x.re x.re)

prune261.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize268.0ms

Local error

Found 4 expressions with local error:

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

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 9

Calls

4 calls:

Slowest

10.0ms	(+.p16 (.p16 (+.p16 x.im x.re) (neg.p16 x.im)) (.p16 x.re (+.p16 x.re x.re)))
4.0ms	(+.p16 (.p16 (+.p16 x.im x.re) x.re) (+.p16 (.p16 (+.p16 x.im x.re) (neg.p16 x.im)) (*.p16 x.re (+.p16 x.re x.re))))
3.0ms	(.p16 x.im (+.p16 (.p16 (+.p16 x.im x.re) x.re) (+.p16 (.p16 (+.p16 x.im x.re) (neg.p16 x.im)) (.p16 x.re (+.p16 x.re x.re)))))
3.0ms	(*.p16 (+.p16 x.im x.re) x.re)

series0.0ms

Counts

4 → 4

Calls

4 calls:

Slowest

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

simplify188.0ms

Counts

9 → 13

Calls

9 calls:

Slowest

109.0ms	(.p16 x.im (+.p16 (.p16 (+.p16 x.im x.re) (neg.p16 x.im)) (*.p16 x.re (+.p16 x.re x.re))))
52.0ms	(.p16 (+.p16 (.p16 (+.p16 x.im x.re) (neg.p16 x.im)) (*.p16 x.re (+.p16 x.re x.re))) x.im)
6.0ms	(*.p16 (+.p16 x.im x.re) x.re)
5.0ms	(*.p16 (+.p16 x.im x.re) x.re)
5.0ms	(*.p16 (+.p16 x.im x.re) x.re)

prune422.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.1b

regimes295.0ms

Accuracy

-∞% (-63.6b remaining)

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

bsearch2.0ms

end0.0ms

sample2.6s

Algorithm

halfpoints

Results