Details

sample108.0ms

Algorithm

halfpoints

Results

simplify53.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

53.0ms

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

prune37.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize76.0ms

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))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 3

Calls

2 calls:

Slowest

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

simplify38.0ms

Counts

2 → 5

Calls

2 calls:

Slowest

24.0ms	(*.p16 (+.p16 (real->posit16 3) (+.p16 d2 d3)) d1)
14.0ms	(*.p16 (+.p16 (real->posit16 3) (+.p16 d2 d3)) d1)

prune113.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize75.0ms

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)

rewrite15.0ms

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)

prune118.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.1b

localize175.0ms

Local error

Found 2 expressions with local error:

0.4b	(+.p16 (.p16 d1 (real->posit16 3)) (.p16 d1 d2))
0.4b	(+.p16 (+.p16 (.p16 d1 (real->posit16 3)) (.p16 d1 d2)) (*.p16 d1 d3))

rewrite13.0ms

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

7.0ms	(+.p16 (+.p16 (.p16 d1 (real->posit16 3)) (.p16 d1 d2)) (*.p16 d1 d3))
6.0ms	(+.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))

simplify126.0ms

Counts

9 → 11

Calls

9 calls:

Slowest

54.0ms	(+.p16 (+.p16 (.p16 d1 (real->posit16 3)) (.p16 d1 d2)) (*.p16 d1 d3))
25.0ms	(+.p16 (+.p16 (.p16 d1 (real->posit16 3)) (.p16 d1 d2)) (*.p16 d1 d3))
16.0ms	(+.p16 (+.p16 (real->posit16 3) d2) d3)
8.0ms	(+.p16 (+.p16 (real->posit16 3) d2) d3)
7.0ms	(+.p16 (+.p16 (real->posit16 3) d2) d3)

prune316.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.1b

localize127.0ms

Local error

Found 2 expressions with local error:

0.4b	(+.p16 (.p16 d1 (+.p16 (real->posit16 3) d2)) (.p16 d1 d3))
0.2b	(*.p16 d1 (+.p16 (real->posit16 3) d2))

rewrite10.0ms

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

7.0ms	(+.p16 (.p16 d1 (+.p16 (real->posit16 3) d2)) (.p16 d1 d3))
3.0ms	(*.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))

simplify29.0ms

Counts

8 → 10

Calls

8 calls:

Slowest

8.0ms	(+.p16 (+.p16 (real->posit16 3) d2) d3)
7.0ms	(+.p16 (+.p16 (real->posit16 3) d2) d3)
3.0ms	(*.p16 d1 (real->posit16 3))
3.0ms	(+.p16 (real->posit16 3) d2)
3.0ms	(*.p16 (real->posit16 3) d1)

prune226.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0.1b

regimes512.0ms

Accuracy

-∞% (-63.7b remaining)

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

bsearch2.0ms

end0.0ms

sample2.9s

Algorithm

halfpoints

Results