Details

sample107.0ms

Algorithm

halfpoints

Results

simplify205.0ms

Calls

1 calls:

Slowest

205.0ms

(+.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))

prune115.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize374.0ms

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))

rewrite23.0ms

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

15.0ms	(+.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

568.0ms	(.p16 x.im (+.p16 (.p16 (+.p16 x.im x.re) (-.p16 x.re x.im)) (*.p16 x.re (+.p16 x.re x.re))))
511.0ms	(.p16 x.im (+.p16 (.p16 (+.p16 x.im x.re) (-.p16 x.re x.im)) (*.p16 x.re (+.p16 x.re x.re))))
465.0ms	(.p16 x.im (+.p16 (.p16 (+.p16 x.im x.re) (-.p16 x.re x.im)) (*.p16 x.re (+.p16 x.re x.re))))
420.0ms	(.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)))

prune1.1s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize456.0ms

Local error

Found 4 expressions with local error:

0.4b	(+.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.im) (*.p16 x.im x.re)) x.re)
0.2b	(.p16 (-.p16 (.p16 x.re x.re) (*.p16 x.im x.im)) x.im)

rewrite13.0ms

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))
3.0ms	(.p16 (+.p16 (.p16 x.re x.im) (*.p16 x.im x.re)) x.re)
2.0ms	(-.p16 (.p16 x.re x.re) (.p16 x.im x.im))
2.0ms	(.p16 (-.p16 (.p16 x.re x.re) (*.p16 x.im 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 x.re x.re) (.p16 x.im x.im))
0.0ms	(.p16 (-.p16 (.p16 x.re x.re) (*.p16 x.im x.im)) x.im)

simplify1.5s

Calls

8 calls:

Slowest

502.0ms	(.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)
316.0ms	(+.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))
265.0ms	(+.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))
237.0ms	(+.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))
164.0ms	(+.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))

prune518.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize132.0ms

Local error

Found 4 expressions with local error:

0.4b	(+.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 x.re x.im) (.p16 (-.p16 x.re x.im) x.im))
0.2b	(.p16 (+.p16 (.p16 x.re x.im) (*.p16 x.im x.re)) x.re)
0.2b	(*.p16 (-.p16 x.re x.im) x.im)

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

4 calls:

Slowest

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

series0.0ms

Calls

4 calls:

Slowest

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

simplify30.0ms

Calls

6 calls:

Slowest

25.0ms	(.p16 (-.p16 (.p16 x.re x.re) (*.p16 x.im x.im)) 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)

prune356.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.1b

localize100.0ms

Local error

Found 4 expressions with local error:

0.4b	(+.p16 (.p16 x.im (.p16 (+.p16 x.im x.re) (-.p16 x.re x.im))) (.p16 x.im (.p16 x.re (+.p16 x.re x.re))))
0.3b	(.p16 x.im (.p16 x.re (+.p16 x.re x.re)))
0.2b	(.p16 x.im (.p16 (+.p16 x.im x.re) (-.p16 x.re x.im)))
0.1b	(*.p16 (+.p16 x.im x.re) (-.p16 x.re x.im))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

4 calls:

Slowest

5.0ms	(+.p16 (.p16 x.im (.p16 (+.p16 x.im x.re) (-.p16 x.re x.im))) (.p16 x.im (.p16 x.re (+.p16 x.re x.re))))
3.0ms	(.p16 x.im (.p16 (+.p16 x.im x.re) (-.p16 x.re x.im)))
2.0ms	(*.p16 (+.p16 x.im x.re) (-.p16 x.re x.im))
2.0ms	(.p16 x.im (.p16 x.re (+.p16 x.re x.re)))

series0.0ms

Calls

4 calls:

Slowest

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

simplify265.0ms

Calls

28 calls:

Slowest

54.0ms	(+.p16 (.p16 (+.p16 x.im x.re) (-.p16 x.re x.im)) (.p16 x.re (+.p16 x.re x.re)))
27.0ms	(+.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 (+.p16 x.im x.re) (neg.p16 x.im)))
16.0ms	(.p16 x.im (.p16 (neg.p16 x.im) (+.p16 x.im x.re)))
13.0ms	(.p16 (.p16 (neg.p16 x.im) (+.p16 x.im x.re)) x.im)

prune1.3s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.1b

regimes1.0s

Accuracy

-∞% (-63.6b remaining)

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

bsearch1.0ms

end0.0ms

sample3.2s

Algorithm

halfpoints

Results