Details

sample186.0ms

Algorithm

halfpoints

Results

simplify355.0ms

Calls

1 calls:

Slowest

355.0ms

(+.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))

prune109.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize514.0ms

Local error

Found 4 expressions with local error:

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

rewrite97.0ms

Algorithm

rewrite-expression-head

Rules

28×	`*-commutative`
16×	`associate-l`
8×	`difference-of-squares`
7×	`p16-distribute-lft-out` `distribute-lft-out`
4×	`distribute-rgt-out`
2×	`p16-flip--`
1×	`+-commutative` `sub-neg` `associate-*l/`

Calls

4 calls:

Slowest

72.0ms	(+.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))
12.0ms	(-.p16 (.p16 x.re x.re) (.p16 x.im x.im))
6.0ms	(.p16 (+.p16 (.p16 x.re x.im) (*.p16 x.im x.re)) x.re)
6.0ms	(.p16 (-.p16 (.p16 x.re x.re) (*.p16 x.im x.im)) x.im)

series0.0ms

Calls

4 calls:

Slowest

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

simplify1.9s

Calls

23 calls:

Slowest

480.0ms	(.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)
328.0ms	(+.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))
248.0ms	(+.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))
247.0ms	(+.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))
239.0ms	(+.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))

prune1.6s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize351.0ms

Local error

Found 4 expressions with local error:

0.2b	(+.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)
0.1b	(+.p16 (.p16 x.re x.im) (.p16 x.im x.re))

rewrite112.0ms

Algorithm

rewrite-expression-head

Rules

15×	`*-commutative`
6×	`associate-l`
4×	`p16-distribute-lft-out` `distribute-rgt-out` `distribute-lft-out`
2×	`+-commutative` `associate-r`
1×	`associate-l/` `associate-r/` `p16-flip--`

Calls

4 calls:

Slowest

67.0ms	(+.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))
17.0ms	(.p16 (+.p16 (.p16 x.re x.im) (*.p16 x.im x.re)) x.re)
14.0ms	(+.p16 (.p16 x.re x.im) (.p16 x.im x.re))
12.0ms	(.p16 (+.p16 x.re x.im) (.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) (.p16 x.im x.re))

simplify23.0ms

Calls

12 calls:

Slowest

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

prune1.2s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize239.0ms

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))

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

20×	`distribute-rgt-in` `distribute-lft-in`
12×	`associate-+r+`
11×	`+-commutative`
8×	`sub-neg`
6×	`associate-+l+`
3×	`*-commutative`
1×	`associate-*r/` `p16-flip--`

Calls

4 calls:

Slowest

41.0ms	(.p16 x.im (+.p16 (.p16 (+.p16 x.im x.re) (-.p16 x.re x.im)) (*.p16 x.re (+.p16 x.re x.re))))
38.0ms	(+.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))

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))

simplify2.7s

Calls

33 calls:

Slowest

599.0ms	(.p16 x.im (+.p16 (.p16 (+.p16 x.im x.re) (-.p16 x.re x.im)) (*.p16 x.re (+.p16 x.re x.re))))
597.0ms	(.p16 x.im (+.p16 (.p16 (+.p16 x.im x.re) (-.p16 x.re x.im)) (*.p16 x.re (+.p16 x.re x.re))))
591.0ms	(.p16 x.im (+.p16 (.p16 (+.p16 x.im x.re) (-.p16 x.re x.im)) (*.p16 x.re (+.p16 x.re x.re))))
397.0ms	(.p16 x.im (+.p16 (.p16 (+.p16 x.im x.re) (-.p16 x.re x.im)) (*.p16 x.re (+.p16 x.re x.re))))
103.0ms	(.p16 x.im (+.p16 (.p16 (+.p16 x.im x.re) (neg.p16 x.im)) (*.p16 x.re (+.p16 x.re x.re))))

prune2.3s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize291.0ms

Local error

Found 4 expressions with local error:

0.2b	(.p16 (-.p16 (.p16 x.re (+.p16 (+.p16 x.re x.re) x.re)) (*.p16 x.im x.im)) x.im)
0.2b	(-.p16 (.p16 x.re (+.p16 (+.p16 x.re x.re) x.re)) (.p16 x.im x.im))
0.2b	(*.p16 x.re (+.p16 (+.p16 x.re x.re) x.re))
0.0b	(+.p16 (+.p16 x.re x.re) x.re)

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

10×	`+-commutative` `associate-+l+`
8×	`distribute-rgt-in` `distribute-lft-in` `associate--l+`
2×	`p16-flip--` `*-commutative`
1×	`sub-neg` `associate-*l/`

Calls

4 calls:

Slowest

29.0ms	(.p16 (-.p16 (.p16 x.re (+.p16 (+.p16 x.re x.re) x.re)) (*.p16 x.im x.im)) x.im)
26.0ms	(-.p16 (.p16 x.re (+.p16 (+.p16 x.re x.re) x.re)) (.p16 x.im x.im))
8.0ms	(+.p16 (+.p16 x.re x.re) x.re)
8.0ms	(*.p16 x.re (+.p16 (+.p16 x.re x.re) x.re))

series0.0ms

Calls

4 calls:

Slowest

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

simplify2.5s

Calls

21 calls:

Slowest

681.0ms	(.p16 (-.p16 (.p16 x.re (+.p16 (+.p16 x.re x.re) x.re)) (*.p16 x.im x.im)) x.im)
530.0ms	(.p16 (-.p16 (.p16 x.re (+.p16 (+.p16 x.re x.re) x.re)) (*.p16 x.im x.im)) x.im)
513.0ms	(.p16 (-.p16 (.p16 x.re (+.p16 (+.p16 x.re x.re) x.re)) (*.p16 x.im x.im)) x.im)
496.0ms	(.p16 (-.p16 (.p16 x.re (+.p16 (+.p16 x.re x.re) x.re)) (*.p16 x.im x.im)) x.im)
210.0ms	(.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)

prune1.2s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes773.0ms

Accuracy

-∞% (-63.6b remaining)

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

bsearch2.0ms

end0.0ms

sample4.1s

Algorithm

halfpoints

Results