Details

sample365.0ms

Algorithm

halfpoints

Results

simplify17.0ms

Calls

1 calls:

Slowest

17.0ms

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

prune140.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize133.0ms

Local error

Found 1 expressions with local error:

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

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

2×	`distribute-rgt-in` `+-commutative` `distribute-lft-in`
1×	`associate-l/` `p16-flip--` `-commutative`

Calls

1 calls:

Slowest

6.0ms

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

series0.0ms

Calls

1 calls:

Slowest

0.0ms

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

simplify417.0ms

Calls

6 calls:

Slowest

326.0ms	(*.p16 (-.p16 re im) (+.p16 im re))
71.0ms	(.p16 (-.p16 (.p16 re re) (*.p16 im im)) (+.p16 im re))
5.0ms	(*.p16 (-.p16 re im) re)
5.0ms	(*.p16 im (-.p16 re im))
5.0ms	(*.p16 (-.p16 re im) im)

prune375.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize158.0ms

Local error

Found 1 expressions with local error:

0.2b	(-.p16 (.p16 re re) (.p16 im im))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

4×	`*-commutative` `difference-of-squares`
1×	`sub-neg` `p16-flip--`

Calls

1 calls:

Slowest

13.0ms

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

series0.0ms

Calls

1 calls:

Slowest

0.0ms

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

simplify29.0ms

Calls

9 calls:

Slowest

13.0ms	(-.p16 (.p16 re re) (.p16 im im))
2.0ms	(-.p16 re im)
2.0ms	(-.p16 re im)
2.0ms	(-.p16 re im)
2.0ms	(-.p16 re im)

prune273.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize123.0ms

Local error

Found 3 expressions with local error:

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

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

4×	`*-commutative`
2×	`associate-*l/` `p16-flip--`
1×	`+-commutative` `p16-distribute-lft-out` `distribute-rgt-out` `distribute-lft-out`

Calls

3 calls:

Slowest

26.0ms	(+.p16 (.p16 (-.p16 re im) re) (.p16 (-.p16 re im) im))
5.0ms	(*.p16 (-.p16 re im) re)
5.0ms	(*.p16 (-.p16 re im) im)

series0.0ms

Calls

3 calls:

Slowest

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

simplify124.0ms

Calls

11 calls:

Slowest

49.0ms	(.p16 (-.p16 (.p16 re re) (*.p16 im im)) im)
40.0ms	(.p16 (-.p16 (.p16 re re) (*.p16 im im)) re)
8.0ms	(*.p16 (-.p16 re im) im)
8.0ms	(*.p16 (-.p16 re im) im)
8.0ms	(*.p16 (-.p16 re im) im)

prune334.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize218.0ms

Local error

Found 4 expressions with local error:

0.9b	(/.p16 (.p16 im (.p16 (+.p16 im re) (-.p16 re im))) (+.p16 re im))
0.3b	(+.p16 (.p16 (-.p16 re im) re) (/.p16 (.p16 im (*.p16 (+.p16 im re) (-.p16 re im))) (+.p16 re im)))
0.2b	(.p16 im (.p16 (+.p16 im re) (-.p16 re im)))
0.2b	(*.p16 (-.p16 re im) re)

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

4 calls:

Slowest

46.0ms	(+.p16 (.p16 (-.p16 re im) re) (/.p16 (.p16 im (*.p16 (+.p16 im re) (-.p16 re im))) (+.p16 re im)))
21.0ms	(/.p16 (.p16 im (.p16 (+.p16 im re) (-.p16 re im))) (+.p16 re im))
14.0ms	(.p16 im (.p16 (+.p16 im re) (-.p16 re im)))
5.0ms	(*.p16 (-.p16 re im) re)

series0.0ms

Calls

4 calls:

Slowest

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

simplify2.9s

Calls

16 calls:

Slowest

746.0ms	(+.p16 (.p16 (-.p16 re im) re) (/.p16 (.p16 im (*.p16 (+.p16 im re) (-.p16 re im))) (+.p16 re im)))
602.0ms	(+.p16 (.p16 (-.p16 re im) re) (/.p16 (.p16 im (*.p16 (+.p16 im re) (-.p16 re im))) (+.p16 re im)))
578.0ms	(+.p16 (.p16 (-.p16 re im) re) (/.p16 (.p16 im (*.p16 (+.p16 im re) (-.p16 re im))) (+.p16 re im)))
445.0ms	(.p16 im (.p16 (+.p16 im re) (-.p16 (.p16 re re) (.p16 im im))))
443.0ms	(+.p16 (.p16 (-.p16 re im) re) (/.p16 (.p16 im (*.p16 (+.p16 im re) (-.p16 re im))) (+.p16 re im)))

prune646.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes439.0ms

Accuracy

-∞% (-63.9b remaining)

Error of 0.1b against oracle of 64.0b and baseline of 64.0b

bsearch1.0ms

end0.0ms

sample3.4s

Algorithm

halfpoints

Results