Details

sample97.0ms

Algorithm

halfpoints

Results

simplify802.0ms

Counts: 1 → 1

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.1b

localize181.0ms

Local error

Found 3 expressions with local error:

1.1b	(/.p16 (-.p16 (.p16 x.im y.re) (.p16 x.re y.im)) (+.p16 (.p16 y.re y.re) (.p16 y.im y.im)))
0.3b	(-.p16 (.p16 x.im y.re) (.p16 x.re y.im))
0.2b	(+.p16 (.p16 y.re y.re) (.p16 y.im y.im))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 4

Calls

3 calls:

Slowest

6.0ms	(+.p16 (.p16 y.re y.re) (.p16 y.im y.im))
4.0ms	(/.p16 (-.p16 (.p16 x.im y.re) (.p16 x.re y.im)) (+.p16 (.p16 y.re y.re) (.p16 y.im y.im)))
3.0ms	(-.p16 (.p16 x.im y.re) (.p16 x.re y.im))

series0.0ms

Counts

3 → 3

Calls

3 calls:

Slowest

0.0ms	(/.p16 (-.p16 (.p16 x.im y.re) (.p16 x.re y.im)) (+.p16 (.p16 y.re y.re) (.p16 y.im y.im)))
0.0ms	(-.p16 (.p16 x.im y.re) (.p16 x.re y.im))
0.0ms	(+.p16 (.p16 y.re y.re) (.p16 y.im y.im))

simplify614.0ms

Counts: 7 → 7

prune94.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 1.0b

localize319.0ms

Local error

Found 4 expressions with local error:

1.5b	(/.p16 (-.p16 (.p16 (.p16 x.im y.re) (.p16 x.im y.re)) (.p16 (.p16 x.re y.im) (.p16 x.re y.im))) (+.p16 (.p16 x.im y.re) (.p16 x.re y.im)))
1.1b	(/.p16 (/.p16 (-.p16 (.p16 (.p16 x.im y.re) (.p16 x.im y.re)) (.p16 (.p16 x.re y.im) (.p16 x.re y.im))) (+.p16 (.p16 x.im y.re) (.p16 x.re y.im))) (+.p16 (.p16 y.re y.re) (.p16 y.im y.im)))
0.3b	(+.p16 (.p16 x.im y.re) (.p16 x.re y.im))
0.2b	(.p16 (.p16 x.re y.im) (*.p16 x.re y.im))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

2×	`associate-/l/`
1×	`+-commutative` `associate-r` `associate-l` `p16-flip--` `-commutative` `associate-/l` `difference-of-squares`

Counts

4 → 7

Calls

4 calls:

Slowest

14.0ms	(/.p16 (-.p16 (.p16 (.p16 x.im y.re) (.p16 x.im y.re)) (.p16 (.p16 x.re y.im) (.p16 x.re y.im))) (+.p16 (.p16 x.im y.re) (.p16 x.re y.im)))
12.0ms	(/.p16 (/.p16 (-.p16 (.p16 (.p16 x.im y.re) (.p16 x.im y.re)) (.p16 (.p16 x.re y.im) (.p16 x.re y.im))) (+.p16 (.p16 x.im y.re) (.p16 x.re y.im))) (+.p16 (.p16 y.re y.re) (.p16 y.im y.im)))
6.0ms	(.p16 (.p16 x.re y.im) (*.p16 x.re y.im))
4.0ms	(+.p16 (.p16 x.im y.re) (.p16 x.re y.im))

series0.0ms

Counts

4 → 4

Calls

4 calls:

Slowest

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

simplify828.0ms

Counts: 11 → 11

prune216.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.9b

localize280.0ms

Local error

Found 4 expressions with local error:

1.1b	(/.p16 (/.p16 (+.p16 (.p16 x.im y.re) (.p16 x.re y.im)) (/.p16 (+.p16 (.p16 x.im y.re) (.p16 x.re y.im)) (-.p16 (.p16 x.im y.re) (.p16 x.re y.im)))) (+.p16 (.p16 y.re y.re) (.p16 y.im y.im)))
0.9b	(/.p16 (+.p16 (.p16 x.im y.re) (.p16 x.re y.im)) (-.p16 (.p16 x.im y.re) (.p16 x.re y.im)))
0.3b	(/.p16 (+.p16 (.p16 x.im y.re) (.p16 x.re y.im)) (/.p16 (+.p16 (.p16 x.im y.re) (.p16 x.re y.im)) (-.p16 (.p16 x.im y.re) (.p16 x.re y.im))))
0.3b	(+.p16 (.p16 x.im y.re) (.p16 x.re y.im))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

4×	`associate-/r/`
2×	`p16-flip--`
1×	`+-commutative` `associate-/r` `associate-/l` `associate-/l/`

Counts

4 → 6

Calls

4 calls:

Slowest

7.0ms	(/.p16 (/.p16 (+.p16 (.p16 x.im y.re) (.p16 x.re y.im)) (/.p16 (+.p16 (.p16 x.im y.re) (.p16 x.re y.im)) (-.p16 (.p16 x.im y.re) (.p16 x.re y.im)))) (+.p16 (.p16 y.re y.re) (.p16 y.im y.im)))
6.0ms	(+.p16 (.p16 x.im y.re) (.p16 x.re y.im))
4.0ms	(/.p16 (+.p16 (.p16 x.im y.re) (.p16 x.re y.im)) (/.p16 (+.p16 (.p16 x.im y.re) (.p16 x.re y.im)) (-.p16 (.p16 x.im y.re) (.p16 x.re y.im))))
3.0ms	(/.p16 (+.p16 (.p16 x.im y.re) (.p16 x.re y.im)) (-.p16 (.p16 x.im y.re) (.p16 x.re y.im)))

series0.0ms

Counts

4 → 4

Calls

4 calls:

Slowest

0.0ms	(/.p16 (/.p16 (+.p16 (.p16 x.im y.re) (.p16 x.re y.im)) (/.p16 (+.p16 (.p16 x.im y.re) (.p16 x.re y.im)) (-.p16 (.p16 x.im y.re) (.p16 x.re y.im)))) (+.p16 (.p16 y.re y.re) (.p16 y.im y.im)))
0.0ms	(/.p16 (+.p16 (.p16 x.im y.re) (.p16 x.re y.im)) (/.p16 (+.p16 (.p16 x.im y.re) (.p16 x.re y.im)) (-.p16 (.p16 x.im y.re) (.p16 x.re y.im))))
0.0ms	(/.p16 (+.p16 (.p16 x.im y.re) (.p16 x.re y.im)) (-.p16 (.p16 x.im y.re) (.p16 x.re y.im)))
0.0ms	(+.p16 (.p16 x.im y.re) (.p16 x.re y.im))

simplify2.8s

Counts: 10 → 10

prune222.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.8b

localize241.0ms

Local error

Found 4 expressions with local error:

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

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 5

Calls

4 calls:

Slowest

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

series0.0ms

Counts

4 → 4

Calls

4 calls:

Slowest

0.0ms	(/.p16 (+.p16 (.p16 y.re y.re) (.p16 y.im y.im)) (-.p16 (.p16 x.im y.re) (.p16 x.re y.im)))
0.0ms	(+.p16 (.p16 x.im y.re) (.p16 x.re y.im))
0.0ms	(+.p16 (.p16 x.im y.re) (.p16 x.re y.im))
0.0ms	(-.p16 (.p16 x.im y.re) (.p16 x.re y.im))

simplify562.0ms

Counts: 9 → 9

prune130.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.8b

regimes643.0ms

Accuracy

0% (0.4b remaining)

Error of 1.1b against oracle of 0.7b and baseline of 1.1b

bsearch1.0ms

end0.0ms

sample3.0s

Algorithm

halfpoints

Results