Details

sample202.0ms

Algorithm

halfpoints

Results

simplify159.0ms

Calls

1 calls:

Slowest

159.0ms

(-.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))

prune104.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize333.0ms

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

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

4 calls:

Slowest

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

simplify686.0ms

Calls

17 calls:

Slowest

150.0ms	(-.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)))
145.0ms	(-.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)))
134.0ms	(-.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)))
128.0ms	(-.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)))
28.0ms	(.p16 x.re (.p16 (neg.p16 x.im) (+.p16 x.im x.re)))

prune1.6s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.1b

localize437.0ms

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

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

4 calls:

Slowest

11.0ms	(.p16 x.re (.p16 (+.p16 x.im x.re) (-.p16 x.re x.im)))
10.0ms	(-.p16 (.p16 x.re (.p16 (+.p16 x.im x.re) (-.p16 x.re x.im))) (.p16 (.p16 x.im (+.p16 x.im x.im)) x.re))
8.0ms	(*.p16 (+.p16 x.im x.re) (-.p16 x.re x.im))
7.0ms	(.p16 (.p16 x.im (+.p16 x.im x.im)) x.re)

series0.0ms

Calls

4 calls:

Slowest

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

simplify191.0ms

Calls

13 calls:

Slowest

29.0ms	(.p16 x.re (.p16 x.re (+.p16 x.im x.re)))
26.0ms	(.p16 x.re (.p16 (neg.p16 x.im) (+.p16 x.im x.re)))
24.0ms	(.p16 (.p16 (neg.p16 x.im) (+.p16 x.im x.re)) x.re)
24.0ms	(.p16 x.re (.p16 (+.p16 x.im x.re) (neg.p16 x.im)))
19.0ms	(.p16 (.p16 x.re (+.p16 x.im x.re)) x.re)

prune1.3s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.1b

localize266.0ms

Local error

Found 4 expressions with local error:

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

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

4 calls:

Slowest

25.0ms	(-.p16 (.p16 x.re x.re) (+.p16 (.p16 x.im x.im) (+.p16 (.p16 x.im x.im) (.p16 x.im x.im))))
17.0ms	(.p16 x.re (-.p16 (.p16 x.re x.re) (+.p16 (.p16 x.im x.im) (+.p16 (.p16 x.im x.im) (*.p16 x.im x.im)))))
7.0ms	(+.p16 (.p16 x.im x.im) (+.p16 (.p16 x.im x.im) (*.p16 x.im x.im)))
4.0ms	(+.p16 (.p16 x.im x.im) (.p16 x.im x.im))

series0.0ms

Calls

4 calls:

Slowest

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

simplify1.2s

Calls

18 calls:

Slowest

309.0ms	(.p16 x.re (-.p16 (.p16 x.re x.re) (+.p16 (.p16 x.im x.im) (+.p16 (.p16 x.im x.im) (*.p16 x.im x.im)))))
280.0ms	(.p16 x.re (-.p16 (.p16 x.re x.re) (+.p16 (.p16 x.im x.im) (+.p16 (.p16 x.im x.im) (*.p16 x.im x.im)))))
270.0ms	(.p16 x.re (-.p16 (.p16 x.re x.re) (+.p16 (.p16 x.im x.im) (+.p16 (.p16 x.im x.im) (*.p16 x.im x.im)))))
263.0ms	(.p16 x.re (-.p16 (.p16 x.re x.re) (+.p16 (.p16 x.im x.im) (+.p16 (.p16 x.im x.im) (*.p16 x.im x.im)))))
14.0ms	(+.p16 (.p16 x.re x.re) (+.p16 (.p16 x.im x.im) (+.p16 (.p16 x.im x.im) (.p16 x.im x.im))))

prune1.3s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize293.0ms

Local error

Found 4 expressions with local error:

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

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

4 calls:

Slowest

7.0ms	(-.p16 (.p16 x.re x.re) (.p16 x.im (+.p16 x.im (+.p16 x.im x.im))))
7.0ms	(.p16 x.re (-.p16 (.p16 x.re x.re) (*.p16 x.im (+.p16 x.im (+.p16 x.im x.im)))))
4.0ms	(*.p16 x.im (+.p16 x.im (+.p16 x.im x.im)))
4.0ms	(+.p16 x.im (+.p16 x.im x.im))

series0.0ms

Calls

4 calls:

Slowest

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

simplify67.0ms

Calls

11 calls:

Slowest

20.0ms	(+.p16 (.p16 x.re x.re) (.p16 x.im (+.p16 x.im (+.p16 x.im x.im))))
7.0ms	(.p16 x.re (neg.p16 (.p16 x.im (+.p16 x.im (+.p16 x.im x.im)))))
7.0ms	(.p16 (neg.p16 (.p16 x.im (+.p16 x.im (+.p16 x.im x.im)))) x.re)
6.0ms	(+.p16 x.im (+.p16 x.im x.im))
4.0ms	(*.p16 x.im (+.p16 x.im x.im))

prune666.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

regimes545.0ms

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