Details

sample155.0ms

Algorithm

halfpoints

Results

simplify207.0ms

Calls

1 calls:

Slowest

207.0ms

(+.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))

prune92.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize241.0ms

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))

rewrite51.0ms

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

21.0ms	(.p16 x.im (+.p16 (.p16 (+.p16 x.im x.re) (-.p16 x.re x.im)) (*.p16 x.re (+.p16 x.re x.re))))
20.0ms	(+.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))
4.0ms	(*.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))

simplify2.4s

Calls

33 calls:

Slowest

579.0ms	(.p16 x.im (+.p16 (.p16 (+.p16 x.im x.re) (-.p16 x.re x.im)) (*.p16 x.re (+.p16 x.re x.re))))
546.0ms	(.p16 x.im (+.p16 (.p16 (+.p16 x.im x.re) (-.p16 x.re x.im)) (*.p16 x.re (+.p16 x.re x.re))))
423.0ms	(.p16 x.im (+.p16 (.p16 (+.p16 x.im x.re) (-.p16 x.re x.im)) (*.p16 x.re (+.p16 x.re x.re))))
324.0ms	(.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 (neg.p16 x.im) (+.p16 x.im x.re)) (*.p16 x.re (+.p16 x.re x.re))))

prune1.6s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize79.0ms

Local error

Found 4 expressions with local error:

0.3b	(+.p16 (.p16 (-.p16 x.re x.im) (+.p16 x.im x.re)) (.p16 x.re (+.p16 x.re x.re)))
0.2b	(.p16 x.im (+.p16 (.p16 (-.p16 x.re x.im) (+.p16 x.im x.re)) (*.p16 x.re (+.p16 x.re x.re))))
0.1b	(*.p16 (-.p16 x.re x.im) (+.p16 x.im x.re))
0.0b	(*.p16 x.re (+.p16 x.re x.re))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

26×	`distribute-rgt-in` `distribute-lft-in`
19×	`+-commutative`
12×	`associate-+l+` `associate-+r+`
3×	`*-commutative`
1×	`associate-*l/` `p16-flip--`

Calls

4 calls:

Slowest

28.0ms	(+.p16 (.p16 (-.p16 x.re x.im) (+.p16 x.im x.re)) (.p16 x.re (+.p16 x.re x.re)))
21.0ms	(.p16 x.im (+.p16 (.p16 (-.p16 x.re x.im) (+.p16 x.im x.re)) (*.p16 x.re (+.p16 x.re x.re))))
4.0ms	(*.p16 (-.p16 x.re x.im) (+.p16 x.im x.re))
4.0ms	(*.p16 x.re (+.p16 x.re x.re))

series0.0ms

Calls

4 calls:

Slowest

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

simplify1.4s

Calls

37 calls:

Slowest

207.0ms	(.p16 (+.p16 (.p16 x.re (-.p16 x.re x.im)) (*.p16 x.re (+.p16 x.re x.re))) x.im)
166.0ms	(.p16 x.im (+.p16 (.p16 x.re (-.p16 x.re x.im)) (*.p16 x.re (+.p16 x.re x.re))))
162.0ms	(.p16 (+.p16 (.p16 (-.p16 x.re x.im) x.re) (*.p16 x.re (+.p16 x.re x.re))) x.im)
160.0ms	(.p16 x.im (+.p16 (.p16 (-.p16 x.re x.im) x.re) (*.p16 x.re (+.p16 x.re x.re))))
120.0ms	(.p16 x.im (+.p16 (.p16 (-.p16 x.re x.im) x.im) (*.p16 x.re (+.p16 x.re x.re))))

prune1.5s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize141.0ms

Local error

Found 4 expressions with local error:

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

rewrite150.0ms

Algorithm

rewrite-expression-head

Rules

34×	`associate-+r+`
16×	`distribute-rgt-in` `distribute-lft-in`
15×	`+-commutative`
2×	`*-commutative`
1×	`associate-*l/` `p16-flip--`

Calls

4 calls:

Slowest

70.0ms	(.p16 x.im (+.p16 (.p16 (-.p16 x.re x.im) x.re) (+.p16 (.p16 (-.p16 x.re x.im) x.im) (.p16 x.re (+.p16 x.re x.re)))))
61.0ms	(+.p16 (.p16 (-.p16 x.re x.im) x.re) (+.p16 (.p16 (-.p16 x.re x.im) x.im) (*.p16 x.re (+.p16 x.re x.re))))
15.0ms	(+.p16 (.p16 (-.p16 x.re x.im) x.im) (.p16 x.re (+.p16 x.re x.re)))
3.0ms	(*.p16 (-.p16 x.re x.im) x.re)

series0.0ms

Calls

4 calls:

Slowest

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

simplify421.0ms

Calls

31 calls:

Slowest

105.0ms	(.p16 x.im (+.p16 (.p16 (-.p16 x.re x.im) x.im) (*.p16 x.re (+.p16 x.re x.re))))
104.0ms	(.p16 (+.p16 (.p16 (-.p16 x.re x.im) x.im) (*.p16 x.re (+.p16 x.re x.re))) x.im)
29.0ms	(.p16 x.im (.p16 (-.p16 x.re x.im) x.re))
28.0ms	(.p16 x.im (.p16 (-.p16 x.re x.im) x.im))
25.0ms	(.p16 (.p16 (-.p16 x.re x.im) x.im) x.im)

prune1.4s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize213.0ms

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

rewrite141.0ms

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

67.0ms	(-.p16 (.p16 x.re (+.p16 (+.p16 x.re x.re) x.re)) (.p16 x.im x.im))
49.0ms	(.p16 (-.p16 (.p16 x.re (+.p16 (+.p16 x.re x.re) x.re)) (*.p16 x.im x.im)) x.im)
15.0ms	(*.p16 x.re (+.p16 (+.p16 x.re x.re) x.re))
11.0ms	(+.p16 (+.p16 x.re x.re) x.re)

series0.0ms

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)

simplify2.0s

Calls

21 calls:

Slowest

609.0ms	(.p16 (-.p16 (.p16 x.re (+.p16 (+.p16 x.re x.re) x.re)) (*.p16 x.im x.im)) x.im)
429.0ms	(.p16 (-.p16 (.p16 x.re (+.p16 (+.p16 x.re x.re) x.re)) (*.p16 x.im x.im)) x.im)
386.0ms	(.p16 (-.p16 (.p16 x.re (+.p16 (+.p16 x.re x.re) x.re)) (*.p16 x.im x.im)) x.im)
371.0ms	(.p16 (-.p16 (.p16 x.re (+.p16 (+.p16 x.re x.re) x.re)) (*.p16 x.im x.im)) x.im)
195.0ms	(.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)

prune1.0s

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes666.0ms

Accuracy

-∞% (-63.6b remaining)

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

bsearch1.0ms

end0.0ms

sample3.5s

Algorithm

halfpoints

Results