Details

sample121.0ms

Algorithm

halfpoints

Results

simplify211.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

211.0ms

(+.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))

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize134.0ms

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))

rewrite13.0ms

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

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

387.0ms	(.p16 x.im (+.p16 (.p16 (+.p16 x.im x.re) (-.p16 x.re x.im)) (*.p16 x.re (+.p16 x.re x.re))))
382.0ms	(.p16 x.im (+.p16 (.p16 (+.p16 x.im x.re) (-.p16 x.re x.im)) (*.p16 x.re (+.p16 x.re x.re))))
325.0ms	(.p16 x.im (+.p16 (.p16 (+.p16 x.im x.re) (-.p16 x.re x.im)) (*.p16 x.re (+.p16 x.re x.re))))
317.0ms	(.p16 x.im (+.p16 (.p16 (+.p16 x.im x.re) (-.p16 x.re x.im)) (*.p16 x.re (+.p16 x.re x.re))))
15.0ms	(.p16 (.p16 x.re (+.p16 x.re x.re)) x.im)

prune245.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize126.0ms

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

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 15

Calls

4 calls:

Slowest

13.0ms	(.p16 x.im (+.p16 (.p16 (+.p16 x.im x.re) (-.p16 x.re x.im)) (+.p16 (.p16 x.re x.re) (.p16 x.re x.re))))
7.0ms	(+.p16 (.p16 (+.p16 x.im x.re) (-.p16 x.re x.im)) (+.p16 (.p16 x.re x.re) (*.p16 x.re x.re)))
4.0ms	(*.p16 (+.p16 x.im x.re) (-.p16 x.re x.im))
4.0ms	(+.p16 (.p16 x.re 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 (.p16 x.re 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 (.p16 x.re x.re) (.p16 x.re x.re))))
0.0ms	(+.p16 (.p16 x.re x.re) (.p16 x.re x.re))
0.0ms	(*.p16 (+.p16 x.im x.re) (-.p16 x.re x.im))

simplify37.0ms

Counts

15 → 19

Calls

15 calls:

Slowest

9.0ms	(.p16 x.im (+.p16 (.p16 x.re x.re) (*.p16 x.re x.re)))
7.0ms	(.p16 (+.p16 (.p16 x.re x.re) (*.p16 x.re x.re)) x.im)
4.0ms	(*.p16 (neg.p16 x.im) (+.p16 x.im x.re))
3.0ms	(*.p16 x.re (+.p16 x.im x.re))
3.0ms	(*.p16 (+.p16 x.im x.re) (neg.p16 x.im))

prune219.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.1b

localize110.0ms

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)
0.2b	(*.p16 x.re (+.p16 (+.p16 x.re x.re) x.re))
0.0b	(+.p16 (+.p16 x.re x.re) x.re)

rewrite19.0ms

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

8.0ms	(+.p16 (+.p16 x.re x.re) x.re)
7.0ms	(*.p16 x.re (+.p16 (+.p16 x.re x.re) x.re))
2.0ms	(-.p16 (.p16 x.re (+.p16 (+.p16 x.re x.re) x.re)) (.p16 x.im x.im))
2.0ms	(.p16 (-.p16 (.p16 x.re (+.p16 (+.p16 x.re x.re) x.re)) (*.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.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 (+.p16 x.re x.re) x.re)
0.0ms	(*.p16 x.re (+.p16 (+.p16 x.re x.re) x.re))

simplify1.9s

Counts

9 → 15

Calls

9 calls:

Slowest

448.0ms	(.p16 (-.p16 (.p16 x.re (+.p16 (+.p16 x.re x.re) x.re)) (*.p16 x.im x.im)) x.im)
440.0ms	(.p16 (-.p16 (.p16 x.re (+.p16 (+.p16 x.re x.re) x.re)) (*.p16 x.im x.im)) x.im)
431.0ms	(.p16 (-.p16 (.p16 x.re (+.p16 (+.p16 x.re x.re) x.re)) (*.p16 x.im x.im)) x.im)
401.0ms	(.p16 (-.p16 (.p16 x.re (+.p16 (+.p16 x.re x.re) x.re)) (*.p16 x.im x.im)) x.im)
124.0ms	(.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)

prune176.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize173.0ms

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

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 12

Calls

4 calls:

Slowest

7.0ms	(+.p16 (+.p16 (.p16 (+.p16 x.im x.re) (-.p16 x.re x.im)) (.p16 x.re x.re)) (*.p16 x.re x.re))
6.0ms	(*.p16 (+.p16 x.im x.re) (-.p16 x.re x.im))
6.0ms	(+.p16 (.p16 (+.p16 x.im x.re) (-.p16 x.re x.im)) (.p16 x.re x.re))
4.0ms	(.p16 x.im (+.p16 (+.p16 (.p16 (+.p16 x.im x.re) (-.p16 x.re x.im)) (.p16 x.re 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 x.re))
0.0ms	(.p16 x.im (+.p16 (+.p16 (.p16 (+.p16 x.im x.re) (-.p16 x.re x.im)) (.p16 x.re x.re)) (.p16 x.re x.re)))
0.0ms	(+.p16 (+.p16 (.p16 (+.p16 x.im x.re) (-.p16 x.re x.im)) (.p16 x.re x.re)) (*.p16 x.re x.re))
0.0ms	(*.p16 (+.p16 x.im x.re) (-.p16 x.re x.im))

simplify43.0ms

Counts

12 → 16

Calls

12 calls:

Slowest

10.0ms	(*.p16 (neg.p16 x.im) (+.p16 x.im x.re))
7.0ms	(*.p16 (+.p16 x.im x.re) (-.p16 x.re x.im))
5.0ms	(*.p16 x.re (+.p16 x.im x.re))
4.0ms	(*.p16 (+.p16 x.im x.re) (neg.p16 x.im))
4.0ms	(.p16 x.im (.p16 x.re x.re))

prune206.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

regimes171.0ms

Accuracy

-∞% (-63.6b remaining)

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

bsearch1.0ms

end0.0ms

sample2.5s

Algorithm

halfpoints

Results