Details

sample145.0ms

Algorithm

halfpoints

Results

simplify48.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

48.0ms

(+.p16 (+.p16 (*.p16 d1 (real->posit16 3)) (*.p16 d1 d2)) (*.p16 d1 d3))

prune73.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize149.0ms

Local error

Found 2 expressions with local error:

0.2b	(*.p16 (+.p16 (real->posit16 3) (+.p16 d2 d3)) d1)
0.2b	(+.p16 (real->posit16 3) (+.p16 d2 d3))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

1×	`+-commutative` `associate-+r+` `*-commutative`

Counts

2 → 3

Calls

2 calls:

Slowest

10.0ms	(*.p16 (+.p16 (real->posit16 3) (+.p16 d2 d3)) d1)
8.0ms	(+.p16 (real->posit16 3) (+.p16 d2 d3))

series0.0ms

Counts

2 → 2

Calls

2 calls:

Slowest

0.0ms	(*.p16 (+.p16 (real->posit16 3) (+.p16 d2 d3)) d1)
0.0ms	(+.p16 (real->posit16 3) (+.p16 d2 d3))

simplify57.0ms

Counts

2 → 5

Calls

2 calls:

Slowest

29.0ms	(*.p16 (+.p16 (real->posit16 3) (+.p16 d2 d3)) d1)
27.0ms	(*.p16 (+.p16 (real->posit16 3) (+.p16 d2 d3)) d1)

prune187.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize141.0ms

Local error

Found 2 expressions with local error:

0.2b	(*.p16 (+.p16 (+.p16 (real->posit16 3) d2) d3) d1)
0.2b	(+.p16 (+.p16 (real->posit16 3) d2) d3)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

1×	`+-commutative` `associate-+l+` `*-commutative`

Counts

2 → 3

Calls

2 calls:

Slowest

8.0ms	(+.p16 (+.p16 (real->posit16 3) d2) d3)
7.0ms	(*.p16 (+.p16 (+.p16 (real->posit16 3) d2) d3) d1)

series0.0ms

Counts

2 → 2

Calls

2 calls:

Slowest

0.0ms	(*.p16 (+.p16 (+.p16 (real->posit16 3) d2) d3) d1)
0.0ms	(+.p16 (+.p16 (real->posit16 3) d2) d3)

simplify2.0ms

Counts

1 → 5

Calls

1 calls:

Slowest

1.0ms

(real->posit16 3)

prune139.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.1b

localize185.0ms

Local error

Found 2 expressions with local error:

0.5b	(+.p16 (.p16 d1 (real->posit16 3)) (.p16 d1 d2))
0.3b	(+.p16 (+.p16 (.p16 d1 (real->posit16 3)) (.p16 d1 d2)) (*.p16 d1 d3))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

5×	`p16-distribute-lft-out` `distribute-lft-out`
2×	`+-commutative`
1×	`associate-+l+`

Counts

2 → 9

Calls

2 calls:

Slowest

5.0ms	(+.p16 (+.p16 (.p16 d1 (real->posit16 3)) (.p16 d1 d2)) (*.p16 d1 d3))
3.0ms	(+.p16 (.p16 d1 (real->posit16 3)) (.p16 d1 d2))

series0.0ms

Counts

2 → 2

Calls

2 calls:

Slowest

0.0ms	(+.p16 (.p16 d1 (real->posit16 3)) (.p16 d1 d2))
0.0ms	(+.p16 (+.p16 (.p16 d1 (real->posit16 3)) (.p16 d1 d2)) (*.p16 d1 d3))

simplify108.0ms

Counts

9 → 11

Calls

9 calls:

Slowest

29.0ms	(+.p16 (+.p16 (.p16 d1 (real->posit16 3)) (.p16 d1 d2)) (*.p16 d1 d3))
27.0ms	(+.p16 (+.p16 (.p16 d1 (real->posit16 3)) (.p16 d1 d2)) (*.p16 d1 d3))
20.0ms	(+.p16 (+.p16 (real->posit16 3) d2) d3)
7.0ms	(+.p16 (+.p16 (real->posit16 3) d2) d3)
7.0ms	(+.p16 (+.p16 (real->posit16 3) d2) d3)

prune296.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize141.0ms

Local error

Found 2 expressions with local error:

0.3b	(+.p16 (.p16 d1 (+.p16 (real->posit16 3) d2)) (.p16 d1 d3))
0.2b	(*.p16 d1 (+.p16 (real->posit16 3) d2))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 8

Calls

2 calls:

Slowest

6.0ms	(+.p16 (.p16 d1 (+.p16 (real->posit16 3) d2)) (.p16 d1 d3))
5.0ms	(*.p16 d1 (+.p16 (real->posit16 3) d2))

series0.0ms

Counts

2 → 2

Calls

2 calls:

Slowest

0.0ms	(+.p16 (.p16 d1 (+.p16 (real->posit16 3) d2)) (.p16 d1 d3))
0.0ms	(*.p16 d1 (+.p16 (real->posit16 3) d2))

simplify38.0ms

Counts

8 → 10

Calls

8 calls:

Slowest

9.0ms	(*.p16 (real->posit16 3) d1)
7.0ms	(+.p16 (+.p16 (real->posit16 3) d2) d3)
7.0ms	(+.p16 (+.p16 (real->posit16 3) d2) d3)
5.0ms	(+.p16 (real->posit16 3) d2)
4.0ms	(+.p16 (real->posit16 3) d2)

prune293.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0.0b

regimes384.0ms

Accuracy

-∞% (-63.7b remaining)

Error of 0.3b against oracle of 64.0b and baseline of 64.0b

bsearch1.0ms

end0.0ms

sample2.2s

Algorithm

halfpoints

Results