Details

sample107.0ms

Algorithm

halfpoints

Results

simplify169.0ms

Calls

1 calls:

Slowest

169.0ms

(+.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))

prune62.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize253.0ms

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))

rewrite42.0ms

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

22.0ms	(+.p16 (.p16 (+.p16 x.im x.re) (-.p16 x.re x.im)) (.p16 x.re (+.p16 x.re x.re)))
8.0ms	(*.p16 (+.p16 x.im x.re) (-.p16 x.re x.im))
7.0ms	(*.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

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))

simplify1.9s

Calls

15 calls:

Slowest

569.0ms	(.p16 x.im (+.p16 (.p16 (+.p16 x.im x.re) (-.p16 x.re x.im)) (*.p16 x.re (+.p16 x.re x.re))))
560.0ms	(.p16 x.im (+.p16 (.p16 (+.p16 x.im x.re) (-.p16 x.re x.im)) (*.p16 x.re (+.p16 x.re x.re))))
377.0ms	(.p16 x.im (+.p16 (.p16 (+.p16 x.im x.re) (-.p16 x.re x.im)) (*.p16 x.re (+.p16 x.re x.re))))
297.0ms	(.p16 x.im (+.p16 (.p16 (+.p16 x.im x.re) (-.p16 x.re x.im)) (*.p16 x.re (+.p16 x.re x.re))))
16.0ms	(.p16 x.im (.p16 x.re (+.p16 x.re x.re)))

prune689.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize237.0ms

Local error

Found 4 expressions with local error:

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

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

4 calls:

Slowest

15.0ms	(.p16 (.p16 x.re (+.p16 x.re x.re)) x.im)
7.0ms	(*.p16 (+.p16 x.im x.re) (-.p16 x.re x.im))
7.0ms	(.p16 (.p16 (+.p16 x.im x.re) (-.p16 x.re x.im)) x.im)
5.0ms	(+.p16 (.p16 (.p16 (+.p16 x.im x.re) (-.p16 x.re x.im)) x.im) (.p16 (.p16 x.re (+.p16 x.re x.re)) x.im))

series0.0ms

Calls

4 calls:

Slowest

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

simplify493.0ms

Calls

10 calls:

Slowest

355.0ms	(.p16 (.p16 (+.p16 x.im x.re) (-.p16 (.p16 x.re x.re) (.p16 x.im x.im))) x.im)
53.0ms	(+.p16 (.p16 (+.p16 x.im x.re) (-.p16 x.re x.im)) (.p16 x.re (+.p16 x.re x.re)))
17.0ms	(.p16 (.p16 x.re (+.p16 x.re x.re)) x.im)
17.0ms	(.p16 (.p16 x.re (+.p16 x.re x.re)) x.im)
17.0ms	(.p16 (.p16 x.re (+.p16 x.re x.re)) x.im)

prune890.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.1b

localize248.0ms

Local error

Found 4 expressions with local error:

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

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

4 calls:

Slowest

6.0ms	(+.p16 (.p16 (+.p16 x.im x.re) (.p16 (-.p16 x.re x.im) x.im)) (.p16 (.p16 x.re (+.p16 x.re x.re)) x.im))
5.0ms	(.p16 (+.p16 x.im x.re) (.p16 (-.p16 x.re x.im) x.im))
4.0ms	(.p16 (.p16 x.re (+.p16 x.re x.re)) x.im)
2.0ms	(*.p16 (-.p16 x.re x.im) x.im)

series0.0ms

Calls

4 calls:

Slowest

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

simplify50.0ms

Calls

6 calls:

Slowest

41.0ms	(.p16 (-.p16 (.p16 x.re x.re) (*.p16 x.im x.im)) x.im)
2.0ms	(+.p16 x.im x.re)
2.0ms	(+.p16 x.im x.re)
2.0ms	(+.p16 x.im x.re)
2.0ms	(+.p16 x.im x.re)

prune596.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.1b

localize331.0ms

Local error

Found 4 expressions with local error:

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

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

4 calls:

Slowest

11.0ms	(+.p16 (.p16 (+.p16 x.im x.re) (.p16 (-.p16 x.re x.im) x.im)) (.p16 x.re (.p16 (+.p16 x.re x.re) x.im)))
9.0ms	(.p16 (+.p16 x.im x.re) (.p16 (-.p16 x.re x.im) x.im))
8.0ms	(.p16 x.re (.p16 (+.p16 x.re x.re) x.im))
4.0ms	(*.p16 (-.p16 x.re x.im) x.im)

series0.0ms

Calls

4 calls:

Slowest

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

simplify45.0ms

Calls

2 calls:

Slowest

42.0ms	(.p16 (-.p16 (.p16 x.re x.re) (*.p16 x.im x.im)) x.im)
2.0ms	(+.p16 x.re x.im)

prune405.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.1b

regimes451.0ms

Accuracy

-∞% (-63.6b remaining)

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

bsearch1.0ms

end0.0ms

sample3.0s

Algorithm

halfpoints

Results