Details

sample218.0ms

Algorithm

halfpoints

Results

simplify4.1s

Counts: 1 → 1

prune65.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.8b

localize158.0ms

Local error

Found 4 expressions with local error:

0.5b	(/.p16 (/.p16 i (real->posit16 2)) (-.p16 (.p16 (.p16 i (real->posit16 2)) (*.p16 i (real->posit16 2))) (real->posit16 1.0)))
0.4b	(.p16 (/.p16 i (real->posit16 2)) (/.p16 (/.p16 i (real->posit16 2)) (-.p16 (.p16 (.p16 i (real->posit16 2)) (.p16 i (real->posit16 2))) (real->posit16 1.0))))
0.2b	(-.p16 (.p16 (.p16 i (real->posit16 2)) (*.p16 i (real->posit16 2))) (real->posit16 1.0))
0.0b	(.p16 (.p16 i (real->posit16 2)) (*.p16 i (real->posit16 2)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

3×	`p16-flip--`
2×	`difference-of-sqr-1` `associate-r` `associate-/r/` `*-commutative`
1×	`associate-/r` `sub-neg` `associate-l` `associate-l/` `associate-*r/` `associate-/l/`

Counts

4 → 13

Calls

4 calls:

Slowest

5.0ms	(.p16 (.p16 i (real->posit16 2)) (*.p16 i (real->posit16 2)))
3.0ms	(.p16 (/.p16 i (real->posit16 2)) (/.p16 (/.p16 i (real->posit16 2)) (-.p16 (.p16 (.p16 i (real->posit16 2)) (.p16 i (real->posit16 2))) (real->posit16 1.0))))
3.0ms	(/.p16 (/.p16 i (real->posit16 2)) (-.p16 (.p16 (.p16 i (real->posit16 2)) (*.p16 i (real->posit16 2))) (real->posit16 1.0)))
2.0ms	(-.p16 (.p16 (.p16 i (real->posit16 2)) (*.p16 i (real->posit16 2))) (real->posit16 1.0))

series0.0ms

Counts

4 → 4

Calls

4 calls:

Slowest

0.0ms	(/.p16 (/.p16 i (real->posit16 2)) (-.p16 (.p16 (.p16 i (real->posit16 2)) (*.p16 i (real->posit16 2))) (real->posit16 1.0)))
0.0ms	(-.p16 (.p16 (.p16 i (real->posit16 2)) (*.p16 i (real->posit16 2))) (real->posit16 1.0))
0.0ms	(.p16 (/.p16 i (real->posit16 2)) (/.p16 (/.p16 i (real->posit16 2)) (-.p16 (.p16 (.p16 i (real->posit16 2)) (.p16 i (real->posit16 2))) (real->posit16 1.0))))
0.0ms	(.p16 (.p16 i (real->posit16 2)) (*.p16 i (real->posit16 2)))

simplify7.3s

Counts: 17 → 17

prune829.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.2b

localize225.0ms

Local error

Found 4 expressions with local error:

0.4b	(.p16 (/.p16 i (real->posit16 2)) (/.p16 (/.p16 (/.p16 i (real->posit16 2)) (+.p16 (.p16 i (real->posit16 2)) (real->posit16 1.0))) (-.p16 (*.p16 i (real->posit16 2)) (real->posit16 1.0))))
0.3b	(/.p16 (/.p16 i (real->posit16 2)) (+.p16 (*.p16 i (real->posit16 2)) (real->posit16 1.0)))
0.3b	(/.p16 (/.p16 (/.p16 i (real->posit16 2)) (+.p16 (.p16 i (real->posit16 2)) (real->posit16 1.0))) (-.p16 (.p16 i (real->posit16 2)) (real->posit16 1.0)))
0.1b	(-.p16 (*.p16 i (real->posit16 2)) (real->posit16 1.0))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

3×	`p16-flip--`
2×	`associate-/r/` `associate-/l/`
1×	`sub-neg` `associate-r` `associate-l/` `associate-r/` `*-commutative`

Counts

4 → 9

Calls

4 calls:

Slowest

7.0ms	(.p16 (/.p16 i (real->posit16 2)) (/.p16 (/.p16 (/.p16 i (real->posit16 2)) (+.p16 (.p16 i (real->posit16 2)) (real->posit16 1.0))) (-.p16 (*.p16 i (real->posit16 2)) (real->posit16 1.0))))
7.0ms	(/.p16 (/.p16 i (real->posit16 2)) (+.p16 (*.p16 i (real->posit16 2)) (real->posit16 1.0)))
6.0ms	(/.p16 (/.p16 (/.p16 i (real->posit16 2)) (+.p16 (.p16 i (real->posit16 2)) (real->posit16 1.0))) (-.p16 (.p16 i (real->posit16 2)) (real->posit16 1.0)))
3.0ms	(-.p16 (*.p16 i (real->posit16 2)) (real->posit16 1.0))

series0.0ms

Counts

4 → 4

Calls

4 calls:

Slowest

0.0ms	(.p16 (/.p16 i (real->posit16 2)) (/.p16 (/.p16 (/.p16 i (real->posit16 2)) (+.p16 (.p16 i (real->posit16 2)) (real->posit16 1.0))) (-.p16 (*.p16 i (real->posit16 2)) (real->posit16 1.0))))
0.0ms	(/.p16 (/.p16 (/.p16 i (real->posit16 2)) (+.p16 (.p16 i (real->posit16 2)) (real->posit16 1.0))) (-.p16 (.p16 i (real->posit16 2)) (real->posit16 1.0)))
0.0ms	(/.p16 (/.p16 i (real->posit16 2)) (+.p16 (*.p16 i (real->posit16 2)) (real->posit16 1.0)))
0.0ms	(-.p16 (*.p16 i (real->posit16 2)) (real->posit16 1.0))

simplify10.2s

Counts: 13 → 13

prune607.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize250.0ms

Local error

Found 4 expressions with local error:

0.3b	(/.p16 (.p16 (/.p16 i (real->posit16 2)) (/.p16 (/.p16 i (real->posit16 2)) (+.p16 (.p16 i (real->posit16 2)) (real->posit16 1.0)))) (-.p16 (*.p16 i (real->posit16 2)) (real->posit16 1.0)))
0.3b	(/.p16 (/.p16 i (real->posit16 2)) (+.p16 (*.p16 i (real->posit16 2)) (real->posit16 1.0)))
0.2b	(.p16 (/.p16 i (real->posit16 2)) (/.p16 (/.p16 i (real->posit16 2)) (+.p16 (.p16 i (real->posit16 2)) (real->posit16 1.0))))
0.1b	(-.p16 (*.p16 i (real->posit16 2)) (real->posit16 1.0))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

3×	`associate-/l/`
2×	`associate-l/` `associate-r/` `p16-flip--`
1×	`sub-neg` `associate-/r/` `-commutative` `associate-/l`

Counts

4 → 10

Calls

4 calls:

Slowest

9.0ms	(/.p16 (.p16 (/.p16 i (real->posit16 2)) (/.p16 (/.p16 i (real->posit16 2)) (+.p16 (.p16 i (real->posit16 2)) (real->posit16 1.0)))) (-.p16 (*.p16 i (real->posit16 2)) (real->posit16 1.0)))
4.0ms	(.p16 (/.p16 i (real->posit16 2)) (/.p16 (/.p16 i (real->posit16 2)) (+.p16 (.p16 i (real->posit16 2)) (real->posit16 1.0))))
3.0ms	(/.p16 (/.p16 i (real->posit16 2)) (+.p16 (*.p16 i (real->posit16 2)) (real->posit16 1.0)))
2.0ms	(-.p16 (*.p16 i (real->posit16 2)) (real->posit16 1.0))

series0.0ms

Counts

4 → 4

Calls

4 calls:

Slowest

0.0ms	(/.p16 (.p16 (/.p16 i (real->posit16 2)) (/.p16 (/.p16 i (real->posit16 2)) (+.p16 (.p16 i (real->posit16 2)) (real->posit16 1.0)))) (-.p16 (*.p16 i (real->posit16 2)) (real->posit16 1.0)))
0.0ms	(/.p16 (/.p16 i (real->posit16 2)) (+.p16 (*.p16 i (real->posit16 2)) (real->posit16 1.0)))
0.0ms	(.p16 (/.p16 i (real->posit16 2)) (/.p16 (/.p16 i (real->posit16 2)) (+.p16 (.p16 i (real->posit16 2)) (real->posit16 1.0))))
0.0ms	(-.p16 (*.p16 i (real->posit16 2)) (real->posit16 1.0))

simplify12.9s

Counts: 14 → 14

prune724.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.0b

localize242.0ms

Local error

Found 4 expressions with local error:

0.3b	(/.p16 (/.p16 i (real->posit16 2)) (/.p16 (-.p16 (.p16 i (real->posit16 2)) (real->posit16 1.0)) (/.p16 (/.p16 i (real->posit16 2)) (+.p16 (.p16 i (real->posit16 2)) (real->posit16 1.0)))))
0.3b	(/.p16 (/.p16 i (real->posit16 2)) (+.p16 (*.p16 i (real->posit16 2)) (real->posit16 1.0)))
0.2b	(/.p16 (-.p16 (.p16 i (real->posit16 2)) (real->posit16 1.0)) (/.p16 (/.p16 i (real->posit16 2)) (+.p16 (.p16 i (real->posit16 2)) (real->posit16 1.0))))
0.1b	(-.p16 (*.p16 i (real->posit16 2)) (real->posit16 1.0))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

3×	`associate-/r/` `associate-/l/`
2×	`p16-flip--`
1×	`associate-/r*` `sub-neg`

Counts

4 → 8

Calls

4 calls:

Slowest

16.0ms	(/.p16 (/.p16 i (real->posit16 2)) (/.p16 (-.p16 (.p16 i (real->posit16 2)) (real->posit16 1.0)) (/.p16 (/.p16 i (real->posit16 2)) (+.p16 (.p16 i (real->posit16 2)) (real->posit16 1.0)))))
5.0ms	(/.p16 (/.p16 i (real->posit16 2)) (+.p16 (*.p16 i (real->posit16 2)) (real->posit16 1.0)))
5.0ms	(/.p16 (-.p16 (.p16 i (real->posit16 2)) (real->posit16 1.0)) (/.p16 (/.p16 i (real->posit16 2)) (+.p16 (.p16 i (real->posit16 2)) (real->posit16 1.0))))
3.0ms	(-.p16 (*.p16 i (real->posit16 2)) (real->posit16 1.0))

series0.0ms

Counts

4 → 4

Calls

4 calls:

Slowest

0.0ms	(/.p16 (/.p16 i (real->posit16 2)) (/.p16 (-.p16 (.p16 i (real->posit16 2)) (real->posit16 1.0)) (/.p16 (/.p16 i (real->posit16 2)) (+.p16 (.p16 i (real->posit16 2)) (real->posit16 1.0)))))
0.0ms	(/.p16 (-.p16 (.p16 i (real->posit16 2)) (real->posit16 1.0)) (/.p16 (/.p16 i (real->posit16 2)) (+.p16 (.p16 i (real->posit16 2)) (real->posit16 1.0))))
0.0ms	(/.p16 (/.p16 i (real->posit16 2)) (+.p16 (*.p16 i (real->posit16 2)) (real->posit16 1.0)))
0.0ms	(-.p16 (*.p16 i (real->posit16 2)) (real->posit16 1.0))

simplify7.7s

Counts: 12 → 12

prune428.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

regimes273.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch2.0ms

end0.0ms

sample6.1s

Algorithm

halfpoints

Results