Details

sample73.0ms

Algorithm

halfpoints

Results

simplify271.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

271.0ms

(+.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))

prune35.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize279.0ms

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))

rewrite28.0ms

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

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

simplify2.3s

Counts

15 → 19

Calls

15 calls:

Slowest

600.0ms	(.p16 x.im (+.p16 (.p16 (+.p16 x.im x.re) (-.p16 x.re x.im)) (*.p16 x.re (+.p16 x.re x.re))))
533.0ms	(.p16 x.im (+.p16 (.p16 (+.p16 x.im x.re) (-.p16 x.re x.im)) (*.p16 x.re (+.p16 x.re x.re))))
529.0ms	(.p16 x.im (+.p16 (.p16 (+.p16 x.im x.re) (-.p16 x.re x.im)) (*.p16 x.re (+.p16 x.re x.re))))
525.0ms	(.p16 x.im (+.p16 (.p16 (+.p16 x.im x.re) (-.p16 x.re x.im)) (*.p16 x.re (+.p16 x.re x.re))))
18.0ms	(.p16 x.im (.p16 x.re (+.p16 x.re x.re)))

prune393.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize200.0ms

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)

rewrite38.0ms

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

21.0ms	(*.p16 x.re (+.p16 (+.p16 x.re x.re) x.re))
8.0ms	(+.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)

simplify2.4s

Counts

9 → 15

Calls

9 calls:

Slowest

590.0ms	(.p16 (-.p16 (.p16 x.re (+.p16 (+.p16 x.re x.re) x.re)) (*.p16 x.im x.im)) x.im)
562.0ms	(.p16 (-.p16 (.p16 x.re (+.p16 (+.p16 x.re x.re) x.re)) (*.p16 x.im x.im)) x.im)
525.0ms	(.p16 (-.p16 (.p16 x.re (+.p16 (+.p16 x.re x.re) x.re)) (*.p16 x.im x.im)) x.im)
454.0ms	(.p16 (-.p16 (.p16 x.re (+.p16 (+.p16 x.re x.re) x.re)) (*.p16 x.im x.im)) x.im)
213.0ms	(.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)

prune261.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.1b

localize171.0ms

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)

rewrite13.0ms

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

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

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 x.re x.re) x.re)
0.0ms	(+.p16 (.p16 (+.p16 x.re x.re) x.re) (.p16 x.re x.re))

simplify150.0ms

Counts

7 → 12

Calls

7 calls:

Slowest

142.0ms	(.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)
2.0ms	(*.p16 (+.p16 x.re x.re) x.re)
2.0ms	(+.p16 (+.p16 x.re x.re) x.re)
1.0ms	(*.p16 x.re x.re)
1.0ms	(*.p16 x.re x.re)

prune141.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize334.0ms

Local error

Found 4 expressions with local error:

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

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 15

Calls

4 calls:

Slowest

9.0ms	(+.p16 (.p16 x.re (+.p16 x.im x.re)) (+.p16 (.p16 (neg.p16 x.im) (+.p16 x.im x.re)) (*.p16 x.re (+.p16 x.re x.re))))
7.0ms	(.p16 x.im (+.p16 (.p16 x.re (+.p16 x.im x.re)) (+.p16 (.p16 (neg.p16 x.im) (+.p16 x.im x.re)) (.p16 x.re (+.p16 x.re x.re)))))
6.0ms	(+.p16 (.p16 (neg.p16 x.im) (+.p16 x.im x.re)) (.p16 x.re (+.p16 x.re x.re)))
6.0ms	(*.p16 x.re (+.p16 x.im x.re))

series0.0ms

Counts

4 → 4

Calls

4 calls:

Slowest

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

simplify190.0ms

Counts

15 → 19

Calls

15 calls:

Slowest

93.0ms	(.p16 x.im (+.p16 (.p16 (neg.p16 x.im) (+.p16 x.im x.re)) (*.p16 x.re (+.p16 x.re x.re))))
61.0ms	(.p16 (+.p16 (.p16 (neg.p16 x.im) (+.p16 x.im x.re)) (*.p16 x.re (+.p16 x.re x.re))) x.im)
5.0ms	(*.p16 x.re (+.p16 x.re x.re))
4.0ms	(*.p16 x.re (+.p16 x.im x.re))
3.0ms	(*.p16 x.re (+.p16 x.im x.re))

prune431.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.1b

regimes274.0ms

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