Details

sample157.0ms

Algorithm

halfpoints

Results

simplify225.0ms

Calls

1 calls:

Slowest

225.0ms

(+.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))

prune55.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize202.0ms

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))

rewrite109.0ms

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

50.0ms	(+.p16 (.p16 (+.p16 x.im x.re) (-.p16 x.re x.im)) (.p16 x.re (+.p16 x.re x.re)))
42.0ms	(.p16 x.im (+.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))

simplify2.0s

Calls

33 calls:

Slowest

426.0ms	(.p16 x.im (+.p16 (.p16 (+.p16 x.im x.re) (-.p16 x.re x.im)) (*.p16 x.re (+.p16 x.re x.re))))
384.0ms	(.p16 x.im (+.p16 (.p16 (+.p16 x.im x.re) (-.p16 x.re x.im)) (*.p16 x.re (+.p16 x.re x.re))))
325.0ms	(.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))))
132.0ms	(.p16 x.im (+.p16 (.p16 (neg.p16 x.im) (+.p16 x.im x.re)) (*.p16 x.re (+.p16 x.re x.re))))

prune1.3s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize82.0ms

Local error

Found 4 expressions with local error:

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

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

4 calls:

Slowest

44.0ms	(+.p16 (.p16 (+.p16 x.im x.re) (-.p16 x.re x.im)) (.p16 (+.p16 x.re x.re) x.re))
38.0ms	(.p16 x.im (+.p16 (.p16 (+.p16 x.im x.re) (-.p16 x.re x.im)) (*.p16 (+.p16 x.re x.re) x.re)))
9.0ms	(*.p16 (+.p16 x.im x.re) (-.p16 x.re x.im))
6.0ms	(*.p16 (+.p16 x.re 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 (+.p16 x.re x.re) x.re))
0.0ms	(.p16 x.im (+.p16 (.p16 (+.p16 x.im x.re) (-.p16 x.re x.im)) (*.p16 (+.p16 x.re x.re) x.re)))
0.0ms	(*.p16 (+.p16 x.re x.re) x.re)
0.0ms	(*.p16 (+.p16 x.im x.re) (-.p16 x.re x.im))

simplify367.0ms

Calls

13 calls:

Slowest

73.0ms	(.p16 (+.p16 (.p16 (neg.p16 x.im) (+.p16 x.im x.re)) (*.p16 (+.p16 x.re x.re) x.re)) x.im)
72.0ms	(.p16 (+.p16 (.p16 (+.p16 x.im x.re) (neg.p16 x.im)) (*.p16 (+.p16 x.re x.re) x.re)) x.im)
56.0ms	(.p16 x.im (+.p16 (.p16 (neg.p16 x.im) (+.p16 x.im x.re)) (*.p16 (+.p16 x.re x.re) x.re)))
49.0ms	(.p16 x.im (+.p16 (.p16 (+.p16 x.im x.re) (neg.p16 x.im)) (*.p16 (+.p16 x.re x.re) x.re)))
34.0ms	(.p16 (.p16 (+.p16 x.im x.re) (-.p16 x.re x.im)) x.im)

prune846.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize400.0ms

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))
0.2b	(-.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)

rewrite84.0ms

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

62.0ms	(+.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))
8.0ms	(-.p16 (.p16 x.re x.re) (.p16 x.im x.im))
8.0ms	(.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 (-.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 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)
0.0ms	(.p16 (+.p16 (.p16 x.re x.im) (*.p16 x.im x.re)) x.re)

simplify1.8s

Calls

23 calls:

Slowest

428.0ms	(.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)
326.0ms	(+.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))
314.0ms	(+.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))
290.0ms	(+.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))
184.0ms	(+.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))

prune1.5s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize123.0ms

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)

rewrite82.0ms

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

25.0ms	(-.p16 (.p16 x.re (+.p16 (+.p16 x.re x.re) x.re)) (.p16 x.im x.im))
23.0ms	(.p16 (-.p16 (.p16 x.re (+.p16 (+.p16 x.re x.re) x.re)) (*.p16 x.im x.im)) x.im)
18.0ms	(+.p16 (+.p16 x.re x.re) x.re)
14.0ms	(*.p16 x.re (+.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)

simplify2.5s

Calls

21 calls:

Slowest

622.0ms	(.p16 (-.p16 (.p16 x.re (+.p16 (+.p16 x.re x.re) x.re)) (*.p16 x.im x.im)) x.im)
587.0ms	(.p16 (-.p16 (.p16 x.re (+.p16 (+.p16 x.re x.re) x.re)) (*.p16 x.im x.im)) x.im)
541.0ms	(.p16 (-.p16 (.p16 x.re (+.p16 (+.p16 x.re x.re) x.re)) (*.p16 x.im x.im)) x.im)
477.0ms	(.p16 (-.p16 (.p16 x.re (+.p16 (+.p16 x.re x.re) x.re)) (*.p16 x.im x.im)) x.im)
201.0ms	(.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

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes559.0ms

Accuracy

-∞% (-63.6b remaining)

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

bsearch1.0ms

end0.0ms

sample3.8s

Algorithm

halfpoints

Results