Details

sample105.0ms

Algorithm

halfpoints

Results

simplify137.0ms

Calls

1 calls:

Slowest

137.0ms

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

prune74.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize337.0ms

Local error

Found 4 expressions with local error:

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

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

11×	`sub-neg`
9×	`distribute-rgt-in` `distribute-lft-in`
6×	`*-commutative`
5×	`associate-r`
4×	`associate--l+`
3×	`associate-*r/` `p16-flip--`
1×	`distribute-rgt-out--`

Calls

4 calls:

Slowest

36.0ms	(-.p16 (.p16 x.re (.p16 (+.p16 x.im x.re) (-.p16 x.re x.im))) (.p16 x.im (.p16 (+.p16 x.im x.im) x.re)))
12.0ms	(.p16 x.re (.p16 (+.p16 x.im x.re) (-.p16 x.re x.im)))
9.0ms	(.p16 x.im (.p16 (+.p16 x.im x.im) x.re))
8.0ms	(*.p16 (+.p16 x.im x.re) (-.p16 x.re x.im))

series0.0ms

Calls

4 calls:

Slowest

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

simplify760.0ms

Calls

20 calls:

Slowest

156.0ms	(-.p16 (.p16 x.re (.p16 (+.p16 x.im x.re) (-.p16 x.re x.im))) (.p16 x.im (.p16 (+.p16 x.im x.im) x.re)))
135.0ms	(-.p16 (.p16 x.re (.p16 (+.p16 x.im x.re) (-.p16 x.re x.im))) (.p16 x.im (.p16 (+.p16 x.im x.im) x.re)))
132.0ms	(-.p16 (.p16 x.re (.p16 (+.p16 x.im x.re) (-.p16 x.re x.im))) (.p16 x.im (.p16 (+.p16 x.im x.im) x.re)))
110.0ms	(-.p16 (.p16 x.re (.p16 (+.p16 x.im x.re) (-.p16 x.re x.im))) (.p16 x.im (.p16 (+.p16 x.im x.im) x.re)))
100.0ms	(-.p16 (.p16 (+.p16 x.im x.re) (-.p16 x.re x.im)) (.p16 x.im (+.p16 x.im x.im)))

prune1.3s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize79.0ms

Local error

Found 4 expressions with local error:

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

rewrite304.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

4 calls:

Slowest

288.0ms	(-.p16 (.p16 (.p16 x.re (-.p16 x.re x.im)) (+.p16 x.im x.re)) (.p16 x.im (.p16 (+.p16 x.im x.im) x.re)))
6.0ms	(.p16 (.p16 x.re (-.p16 x.re x.im)) (+.p16 x.im x.re))
6.0ms	(.p16 x.im (.p16 (+.p16 x.im x.im) x.re))
3.0ms	(*.p16 x.re (-.p16 x.re x.im))

series0.0ms

Calls

4 calls:

Slowest

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

simplify584.0ms

Calls

18 calls:

Slowest

352.0ms	(.p16 (.p16 x.re (-.p16 (.p16 x.re x.re) (.p16 x.im x.im))) (+.p16 x.im x.re))
39.0ms	(.p16 (.p16 x.re (-.p16 x.re x.im)) x.im)
32.0ms	(.p16 (.p16 x.re (-.p16 x.re x.im)) x.re)
29.0ms	(.p16 x.re (.p16 x.re (-.p16 x.re x.im)))
24.0ms	(.p16 x.re (.p16 x.re (-.p16 x.re x.im)))

prune1.2s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize330.0ms

Local error

Found 4 expressions with local error:

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

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-commutative`
13×	`associate-l`
8×	`difference-of-squares`
3×	`p16-distribute-lft-out` `distribute-rgt-out` `p16-flip--` `distribute-lft-out` `distribute-lft-out--`
2×	`sub-neg`
1×	`associate-*l/`

Calls

4 calls:

Slowest

58.0ms	(-.p16 (.p16 (-.p16 (.p16 x.re x.re) (.p16 x.im x.im)) x.re) (.p16 (+.p16 (.p16 x.re x.im) (.p16 x.im x.re)) x.im))
11.0ms	(.p16 (+.p16 (.p16 x.re x.im) (*.p16 x.im x.re)) x.im)
10.0ms	(-.p16 (.p16 x.re x.re) (.p16 x.im x.im))
10.0ms	(.p16 (-.p16 (.p16 x.re x.re) (*.p16 x.im x.im)) x.re)

series0.0ms

Calls

4 calls:

Slowest

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

simplify1.2s

Calls

20 calls:

Slowest

452.0ms	(.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.re)
153.0ms	(-.p16 (.p16 (-.p16 (.p16 x.re x.re) (.p16 x.im x.im)) x.re) (.p16 (+.p16 (.p16 x.re x.im) (.p16 x.im x.re)) x.im))
134.0ms	(-.p16 (.p16 (-.p16 (.p16 x.re x.re) (.p16 x.im x.im)) x.re) (.p16 (+.p16 (.p16 x.re x.im) (.p16 x.im x.re)) x.im))
105.0ms	(-.p16 (.p16 (-.p16 (.p16 x.re x.re) (.p16 x.im x.im)) x.re) (.p16 (+.p16 (.p16 x.re x.im) (.p16 x.im x.re)) x.im))
103.0ms	(-.p16 (-.p16 (.p16 x.re x.re) (.p16 x.im x.im)) (*.p16 (+.p16 x.im x.im) x.im))

prune1.2s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize157.0ms

Local error

Found 4 expressions with local error:

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

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

4 calls:

Slowest

35.0ms	(-.p16 (.p16 (+.p16 x.re x.im) (.p16 (-.p16 x.re x.im) x.re)) (.p16 (+.p16 (.p16 x.re x.im) (*.p16 x.im x.re)) x.im))
11.0ms	(.p16 (+.p16 x.re x.im) (.p16 (-.p16 x.re x.im) x.re))
10.0ms	(.p16 (+.p16 (.p16 x.re x.im) (*.p16 x.im x.re)) x.im)
4.0ms	(*.p16 (-.p16 x.re x.im) x.re)

series0.0ms

Calls

4 calls:

Slowest

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

simplify62.0ms

Calls

7 calls:

Slowest

44.0ms	(.p16 (-.p16 (.p16 x.re x.re) (*.p16 x.im x.im)) x.re)
8.0ms	(+.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)

prune1.0s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

regimes706.0ms

Accuracy

-∞% (-63.6b remaining)

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

bsearch2.0ms

end0.0ms

sample3.6s

Algorithm

halfpoints

Results