Details

sample114.0ms

Algorithm

halfpoints

Results

simplify309.0ms

Calls

1 calls:

Slowest

309.0ms

(+.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))

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize208.0ms

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)))
0.3b	(.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))

rewrite14.0ms

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--`

Calls

4 calls:

Slowest

6.0ms	(+.p16 (.p16 (+.p16 x.im x.re) (-.p16 x.re x.im)) (.p16 x.re (+.p16 x.re x.re)))
4.0ms	(*.p16 (+.p16 x.im x.re) (-.p16 x.re x.im))
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))))
2.0ms	(*.p16 x.re (+.p16 x.re x.re))

series0.0ms

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))

simplify2.0s

Calls

15 calls:

Slowest

547.0ms	(.p16 x.im (+.p16 (.p16 (+.p16 x.im x.re) (-.p16 x.re x.im)) (*.p16 x.re (+.p16 x.re x.re))))
527.0ms	(.p16 x.im (+.p16 (.p16 (+.p16 x.im x.re) (-.p16 x.re x.im)) (*.p16 x.re (+.p16 x.re x.re))))
517.0ms	(.p16 x.im (+.p16 (.p16 (+.p16 x.im x.re) (-.p16 x.re x.im)) (*.p16 x.re (+.p16 x.re x.re))))
310.0ms	(.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 x.im (.p16 x.re (+.p16 x.re x.re)))

prune347.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.1b

localize201.0ms

Local error

Found 4 expressions with local error:

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

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

2×	`p16-flip--` `*-commutative` `difference-of-squares`
1×	`+-commutative` `sub-neg` `associate-l` `associate-*l/`

Calls

4 calls:

Slowest

5.0ms	(+.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))
2.0ms	(.p16 (+.p16 (.p16 x.re x.im) (*.p16 x.im x.re)) x.re)
2.0ms	(.p16 (-.p16 (.p16 x.re x.re) (*.p16 x.im x.im)) x.im)
2.0ms	(-.p16 (.p16 x.re x.re) (.p16 x.im x.im))

series0.0ms

Calls

4 calls:

Slowest

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

simplify1.1s

Calls

8 calls:

Slowest

335.0ms	(.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.im)
259.0ms	(+.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))
171.0ms	(+.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))
171.0ms	(+.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))
166.0ms	(+.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))

prune179.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.1b

localize115.0ms

Local error

Found 4 expressions with local error:

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

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

4 calls:

Slowest

6.0ms	(+.p16 (.p16 (+.p16 x.re x.im) (.p16 (-.p16 x.re x.im) x.im)) (.p16 (+.p16 (.p16 x.re x.im) (*.p16 x.im x.re)) x.re))
3.0ms	(.p16 (+.p16 x.re x.im) (.p16 (-.p16 x.re x.im) x.im))
2.0ms	(+.p16 (.p16 x.re x.im) (.p16 x.im x.re))
1.0ms	(.p16 (+.p16 (.p16 x.re x.im) (*.p16 x.im x.re)) x.re)

series0.0ms

Calls

4 calls:

Slowest

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

simplify9.0ms

Calls

5 calls:

Slowest

1.0ms	(+.p16 x.re x.im)
1.0ms	(+.p16 x.re x.im)
1.0ms	(+.p16 x.re x.im)
1.0ms	(+.p16 x.re x.im)
1.0ms	(+.p16 x.re x.im)

prune146.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize128.0ms

Local error

Found 4 expressions with local error:

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

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

4 calls:

Slowest

4.0ms	(+.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))))
3.0ms	(.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)))))
3.0ms	(+.p16 (.p16 (neg.p16 x.im) (+.p16 x.im x.re)) (.p16 x.re (+.p16 x.re x.re)))
1.0ms	(*.p16 x.re (+.p16 x.im x.re))

series0.0ms

Calls

4 calls:

Slowest

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.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 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.re (+.p16 x.im x.re))

simplify146.0ms

Calls

15 calls:

Slowest

79.0ms	(.p16 x.im (+.p16 (.p16 (neg.p16 x.im) (+.p16 x.im x.re)) (*.p16 x.re (+.p16 x.re x.re))))
41.0ms	(.p16 (+.p16 (.p16 (neg.p16 x.im) (+.p16 x.im x.re)) (*.p16 x.re (+.p16 x.re x.re))) x.im)
4.0ms	(*.p16 x.re (+.p16 x.im x.re))
3.0ms	(*.p16 x.re (+.p16 x.im x.re))
3.0ms	(*.p16 x.re (+.p16 x.im x.re))

prune389.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.1b

regimes128.0ms

Accuracy

-∞% (-63.6b remaining)

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

bsearch3.0ms

end0.0ms

sample2.3s

Algorithm

halfpoints

Results