Details

sample147.0ms

Algorithm

halfpoints

Results

simplify158.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

157.0ms

(-.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))

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize178.0ms

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.im) x.re)

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 16

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))
3.0ms	(*.p16 (+.p16 x.im x.im) x.re)

series0.0ms

Counts

4 → 4

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.im) x.re)

simplify4.8s

Counts

22 → 20

Calls

22 calls:

Slowest

958.0ms	(-.p16 (.p16 (.p16 (neg.p16 x.im) (+.p16 x.im x.re)) x.re) (.p16 x.im (.p16 (+.p16 x.im x.im) x.re)))
886.0ms	(-.p16 (.p16 (.p16 (+.p16 x.im x.re) (neg.p16 x.im)) x.re) (.p16 x.im (.p16 (+.p16 x.im x.im) x.re)))
756.0ms	(-.p16 (.p16 x.re (.p16 (+.p16 x.im x.re) (neg.p16 x.im))) (.p16 x.im (.p16 (+.p16 x.im x.im) x.re)))
491.0ms	(+.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)))
364.0ms	(-.p16 (.p16 (.p16 x.re (.p16 (+.p16 x.im x.re) (-.p16 x.re x.im))) (.p16 x.re (.p16 (+.p16 x.im x.re) (-.p16 x.re x.im)))) (.p16 (.p16 x.im (.p16 (+.p16 x.im x.im) x.re)) (.p16 x.im (.p16 (+.p16 x.im x.im) x.re))))

prune679.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.1b

localize191.0ms

Local error

Found 4 expressions with local error:

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

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 14

Calls

4 calls:

Slowest

10.0ms	(.p16 x.im (.p16 (+.p16 x.im x.im) x.re))
5.0ms	(.p16 (.p16 x.re (+.p16 x.im x.re)) (-.p16 x.re x.im))
4.0ms	(-.p16 (.p16 (.p16 x.re (+.p16 x.im x.re)) (-.p16 x.re x.im)) (.p16 x.im (.p16 (+.p16 x.im x.im) x.re)))
3.0ms	(*.p16 x.re (+.p16 x.im x.re))

series0.0ms

Counts

4 → 4

Calls

4 calls:

Slowest

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

simplify2.2s

Counts

20 → 18

Calls

20 calls:

Slowest

937.0ms	(-.p16 (.p16 (.p16 x.re (+.p16 x.im x.re)) (neg.p16 x.im)) (.p16 x.im (.p16 (+.p16 x.im x.im) x.re)))
485.0ms	(+.p16 (.p16 (.p16 x.re (+.p16 x.im x.re)) (-.p16 x.re x.im)) (.p16 x.im (.p16 (+.p16 x.im x.im) x.re)))
379.0ms	(-.p16 (.p16 (.p16 (.p16 x.re (+.p16 x.im x.re)) (-.p16 x.re x.im)) (.p16 (.p16 x.re (+.p16 x.im x.re)) (-.p16 x.re x.im))) (.p16 (.p16 x.im (.p16 (+.p16 x.im x.im) x.re)) (.p16 x.im (.p16 (+.p16 x.im x.im) x.re))))
153.0ms	(-.p16 (.p16 (neg.p16 x.im) (.p16 x.re (+.p16 x.im x.re))) (.p16 x.im (.p16 (+.p16 x.im x.im) x.re)))
96.0ms	(.p16 (.p16 x.re (+.p16 x.im x.re)) (-.p16 (.p16 x.re x.re) (.p16 x.im x.im)))

prune452.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize329.0ms

Local error

Found 4 expressions with local error:

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

rewrite36.0ms

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`

Counts

4 → 19

Calls

4 calls:

Slowest

11.0ms	(.p16 x.re (.p16 (+.p16 x.im x.re) (-.p16 x.re x.im)))
9.0ms	(-.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))
8.0ms	(.p16 (.p16 x.im (+.p16 x.im x.im)) x.re)

series0.0ms

Counts

4 → 4

Calls

4 calls:

Slowest

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

simplify4.4s

Counts

27 → 23

Calls

27 calls:

Slowest

1.2s	(-.p16 (.p16 x.re (.p16 (+.p16 x.im x.re) (neg.p16 x.im))) (.p16 (.p16 x.im (+.p16 x.im x.im)) x.re))
1.2s	(-.p16 (.p16 (.p16 (+.p16 x.im x.re) (neg.p16 x.im)) x.re) (.p16 (.p16 x.im (+.p16 x.im x.im)) x.re))
793.0ms	(+.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))
419.0ms	(.p16 x.re (.p16 (+.p16 x.im x.re) (-.p16 (.p16 x.re x.re) (.p16 x.im x.im))))
304.0ms	(-.p16 (.p16 (.p16 x.re (.p16 (+.p16 x.im x.re) (-.p16 x.re x.im))) (.p16 x.re (.p16 (+.p16 x.im x.re) (-.p16 x.re x.im)))) (.p16 (.p16 (.p16 x.im (+.p16 x.im x.im)) x.re) (.p16 (.p16 x.im (+.p16 x.im x.im)) x.re)))

prune514.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.1b

localize238.0ms

Local error

Found 4 expressions with local error:

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

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 14

Calls

4 calls:

Slowest

7.0ms	(+.p16 (.p16 (+.p16 x.im x.re) x.re) (.p16 (+.p16 x.im x.re) (neg.p16 x.im)))
5.0ms	(-.p16 (.p16 x.re (+.p16 (.p16 (+.p16 x.im x.re) x.re) (.p16 (+.p16 x.im x.re) (neg.p16 x.im)))) (.p16 (*.p16 x.im (+.p16 x.im x.im)) x.re))
4.0ms	(.p16 (.p16 x.im (+.p16 x.im x.im)) x.re)
4.0ms	(.p16 x.re (+.p16 (.p16 (+.p16 x.im x.re) x.re) (*.p16 (+.p16 x.im x.re) (neg.p16 x.im))))

series0.0ms

Counts

4 → 4

Calls

4 calls:

Slowest

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

simplify2.9s

Counts

22 → 18

Calls

22 calls:

Slowest

1.2s	(-.p16 (.p16 (.p16 (+.p16 x.im x.re) (neg.p16 x.im)) x.re) (.p16 (.p16 x.im (+.p16 x.im x.im)) x.re))
1.1s	(-.p16 (.p16 x.re (.p16 (+.p16 x.im x.re) (neg.p16 x.im))) (.p16 (.p16 x.im (+.p16 x.im x.im)) x.re))
336.0ms	(-.p16 (.p16 (.p16 x.re (+.p16 (.p16 (+.p16 x.im x.re) x.re) (.p16 (+.p16 x.im x.re) (neg.p16 x.im)))) (.p16 x.re (+.p16 (.p16 (+.p16 x.im x.re) x.re) (.p16 (+.p16 x.im x.re) (neg.p16 x.im))))) (.p16 (.p16 (.p16 x.im (+.p16 x.im x.im)) x.re) (.p16 (.p16 x.im (+.p16 x.im x.im)) x.re)))
170.0ms	(+.p16 (.p16 x.re (+.p16 (.p16 (+.p16 x.im x.re) x.re) (.p16 (+.p16 x.im x.re) (neg.p16 x.im)))) (.p16 (*.p16 x.im (+.p16 x.im x.im)) x.re))
14.0ms	(neg.p16 (.p16 (.p16 x.im (+.p16 x.im x.im)) x.re))

prune479.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.1b

regimes203.0ms

Accuracy

-∞% (-63.6b remaining)

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

bsearch1.0ms

end0.0ms

sample2.9s

Algorithm

halfpoints

Results