Details

sample224.0ms

Algorithm

halfpoints

Results

simplify4.1s

Counts: 1 → 1

prune89.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.9b

localize237.0ms

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)))
0.5b	(.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)))

rewrite22.0ms

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

12.0ms	(.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))))
5.0ms	(.p16 (.p16 i (real->posit16 2)) (*.p16 i (real->posit16 2)))
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 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)))

simplify7.0s

Counts: 17 → 17

prune852.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.3b

localize293.0ms

Local error

Found 4 expressions with local error:

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

rewrite12.0ms

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

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

simplify8.8s

Counts: 13 → 13

prune650.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize244.0ms

Local error

Found 4 expressions with local error:

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

rewrite21.0ms

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

7.0ms	(-.p16 (*.p16 i (real->posit16 2)) (real->posit16 1.0))
6.0ms	(/.p16 (/.p16 i (real->posit16 2)) (+.p16 (*.p16 i (real->posit16 2)) (real->posit16 1.0)))
4.0ms	(/.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)))
3.0ms	(.p16 (/.p16 i (real->posit16 2)) (/.p16 (/.p16 i (real->posit16 2)) (+.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 i (real->posit16 2)) (real->posit16 1.0)))
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)) (real->posit16 1.0))

simplify7.9s

Counts: 14 → 14

prune721.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.1b

localize274.0ms

Local error

Found 4 expressions with local error:

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

rewrite11.0ms

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

3.0ms	(/.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 (.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 (.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))))
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)) (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))

simplify8.7s

Counts: 12 → 12

prune535.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.1b

regimes210.0ms

Accuracy

0% (0.3b remaining)

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

bsearch4.0ms

end0.0ms

sample6.0s

Algorithm

halfpoints

Results