Details

sample183.0ms

Algorithm

halfpoints

Results

simplify4.1s

Counts: 1 → 1

prune86.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.8b

localize230.0ms

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)))

rewrite21.0ms

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

6.0ms	(.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))))
6.0ms	(.p16 (.p16 i (real->posit16 2)) (*.p16 i (real->posit16 2)))
5.0ms	(/.p16 (/.p16 i (real->posit16 2)) (-.p16 (.p16 (.p16 i (real->posit16 2)) (*.p16 i (real->posit16 2))) (real->posit16 1.0)))
4.0ms	(-.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 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 (.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)))

simplify5.9s

Counts: 17 → 17

prune561.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.3b

localize220.0ms

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

rewrite17.0ms

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

simplify9.7s

Counts: 13 → 13

prune734.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.1b

localize236.0ms

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)))
0.1b	(.p16 (/.p16 i (real->posit16 2)) (/.p16 (/.p16 i (real->posit16 2)) (+.p16 (.p16 i (real->posit16 2)) (real->posit16 1.0))))
0.0b	(-.p16 (*.p16 i (real->posit16 2)) (real->posit16 1.0))

rewrite14.0ms

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

5.0ms	(/.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)) (+.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))

simplify12.5s

Counts: 14 → 14

prune626.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

localize284.0ms

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)))
0.3b	(/.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))))
0.0b	(-.p16 (*.p16 i (real->posit16 2)) (real->posit16 1.0))

rewrite20.0ms

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

6.0ms	(/.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))))
5.0ms	(/.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)))))
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))

simplify8.6s

Counts: 12 → 12

prune454.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

regimes156.0ms

Accuracy

-∞% (-63.6b remaining)

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

bsearch2.0ms

end0.0ms

sample5.7s

Algorithm

halfpoints

Results