Details

sample1.4s

Algorithm

halfpoints

Results

simplify232.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

232.0ms

(sqrt.p16 (*.p16 (*.p16 (*.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a)) (-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b)) (-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) c)))

prune27.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize342.0ms

Local error

Found 4 expressions with local error:

0.5b	(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b)
0.5b	(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a)
0.5b	(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) c)
0.2b	(+.p16 (+.p16 a b) c)

rewrite146.0ms

Algorithm

rewrite-expression-head

Rules

3×	`sub-neg` `p16-flip--`
1×	`+-commutative` `associate-+l+`

Counts

4 → 8

Calls

4 calls:

Slowest

48.0ms	(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a)
44.0ms	(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b)
40.0ms	(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) c)
14.0ms	(+.p16 (+.p16 a b) c)

series0.0ms

Counts

4 → 4

Calls

4 calls:

Slowest

0.0ms	(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b)
0.0ms	(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a)
0.0ms	(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) c)
0.0ms	(+.p16 (+.p16 a b) c)

simplify2.1s

Counts

14 → 12

Calls

14 calls:

Slowest

411.0ms	(-.p16 (.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2))) (.p16 b b))
372.0ms	(-.p16 (.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2))) (.p16 a a))
371.0ms	(-.p16 (.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2))) (.p16 c c))
259.0ms	(sqrt.p16 (.p16 (.p16 (*.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a)) (-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b)) (-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) c)))
257.0ms	(sqrt.p16 (.p16 (.p16 (*.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a)) (-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b)) (-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) c)))

prune497.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize318.0ms

Local error

Found 4 expressions with local error:

0.5b	(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b)
0.5b	(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a)
0.5b	(-.p16 (/.p16 (+.p16 a (+.p16 b c)) (real->posit16 2)) c)
0.2b	(+.p16 (+.p16 a b) c)

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

3×	`sub-neg` `p16-flip--`
1×	`+-commutative` `associate-+l+`

Counts

4 → 8

Calls

4 calls:

Slowest

25.0ms	(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a)
22.0ms	(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b)
9.0ms	(-.p16 (/.p16 (+.p16 a (+.p16 b c)) (real->posit16 2)) c)
8.0ms	(+.p16 (+.p16 a b) c)

series0.0ms

Counts

4 → 4

Calls

4 calls:

Slowest

0.0ms	(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b)
0.0ms	(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a)
0.0ms	(-.p16 (/.p16 (+.p16 a (+.p16 b c)) (real->posit16 2)) c)
0.0ms	(+.p16 (+.p16 a b) c)

simplify1.6s

Counts

14 → 12

Calls

14 calls:

Slowest

551.0ms	(-.p16 (.p16 (/.p16 (+.p16 a (+.p16 b c)) (real->posit16 2)) (/.p16 (+.p16 a (+.p16 b c)) (real->posit16 2))) (.p16 c c))
510.0ms	(-.p16 (.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2))) (.p16 a a))
433.0ms	(-.p16 (.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2))) (.p16 b b))
24.0ms	(+.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b)
22.0ms	(+.p16 (/.p16 (+.p16 a (+.p16 b c)) (real->posit16 2)) c)

prune367.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize272.0ms

Local error

Found 4 expressions with local error:

0.5b	(-.p16 (/.p16 (+.p16 a (+.p16 b c)) (real->posit16 2)) b)
0.5b	(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a)
0.5b	(-.p16 (/.p16 (+.p16 a (+.p16 b c)) (real->posit16 2)) c)
0.2b	(+.p16 (+.p16 a b) c)

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

3×	`sub-neg` `p16-flip--`
1×	`+-commutative` `associate-+l+`

Counts

4 → 8

Calls

4 calls:

Slowest

28.0ms	(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a)
10.0ms	(-.p16 (/.p16 (+.p16 a (+.p16 b c)) (real->posit16 2)) b)
9.0ms	(-.p16 (/.p16 (+.p16 a (+.p16 b c)) (real->posit16 2)) c)
8.0ms	(+.p16 (+.p16 a b) c)

series0.0ms

Counts

4 → 4

Calls

4 calls:

Slowest

0.0ms	(-.p16 (/.p16 (+.p16 a (+.p16 b c)) (real->posit16 2)) b)
0.0ms	(+.p16 (+.p16 a b) c)
0.0ms	(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a)
0.0ms	(-.p16 (/.p16 (+.p16 a (+.p16 b c)) (real->posit16 2)) c)

simplify1.5s

Counts

14 → 12

Calls

14 calls:

Slowest

509.0ms	(-.p16 (.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2))) (.p16 a a))
484.0ms	(-.p16 (.p16 (/.p16 (+.p16 a (+.p16 b c)) (real->posit16 2)) (/.p16 (+.p16 a (+.p16 b c)) (real->posit16 2))) (.p16 c c))
443.0ms	(-.p16 (.p16 (/.p16 (+.p16 a (+.p16 b c)) (real->posit16 2)) (/.p16 (+.p16 a (+.p16 b c)) (real->posit16 2))) (.p16 b b))
29.0ms	(+.p16 (/.p16 (+.p16 a (+.p16 b c)) (real->posit16 2)) c)
23.0ms	(+.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a)

prune436.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize392.0ms

Local error

Found 4 expressions with local error:

0.5b	(-.p16 (/.p16 (+.p16 a (+.p16 b c)) (real->posit16 2)) b)
0.5b	(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a)
0.5b	(-.p16 (/.p16 (+.p16 a (+.p16 b c)) (real->posit16 2)) c)
0.2b	(+.p16 (+.p16 a b) c)

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

3×	`sub-neg` `p16-flip--`
1×	`+-commutative` `associate-+l+`

Counts

4 → 8

Calls

4 calls:

Slowest

26.0ms	(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a)
14.0ms	(-.p16 (/.p16 (+.p16 a (+.p16 b c)) (real->posit16 2)) b)
11.0ms	(-.p16 (/.p16 (+.p16 a (+.p16 b c)) (real->posit16 2)) c)
8.0ms	(+.p16 (+.p16 a b) c)

series0.0ms

Counts

4 → 4

Calls

4 calls:

Slowest

0.0ms	(-.p16 (/.p16 (+.p16 a (+.p16 b c)) (real->posit16 2)) b)
0.0ms	(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a)
0.0ms	(-.p16 (/.p16 (+.p16 a (+.p16 b c)) (real->posit16 2)) c)
0.0ms	(+.p16 (+.p16 a b) c)

simplify1.5s

Counts

14 → 12

Calls

14 calls:

Slowest

537.0ms	(-.p16 (.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2))) (.p16 a a))
459.0ms	(-.p16 (.p16 (/.p16 (+.p16 a (+.p16 b c)) (real->posit16 2)) (/.p16 (+.p16 a (+.p16 b c)) (real->posit16 2))) (.p16 b b))
419.0ms	(-.p16 (.p16 (/.p16 (+.p16 a (+.p16 b c)) (real->posit16 2)) (/.p16 (+.p16 a (+.p16 b c)) (real->posit16 2))) (.p16 c c))
27.0ms	(+.p16 (/.p16 (+.p16 a (+.p16 b c)) (real->posit16 2)) b)
22.0ms	(+.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a)

prune353.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.1b

regimes380.0ms

Accuracy

-∞% (-63.8b remaining)

Error of 0.2b against oracle of 64.0b and baseline of 64.0b

bsearch3.0ms

end0.0ms

sample27.5s

Algorithm

halfpoints

Results