Details

Time bar (total: 51.4s)

sample205.0ms

Algorithm
halfpoints
Results

simplify19.8s

Counts
1 → 1

prune36.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.9b

localize235.0ms

Local error

Found 4 expressions with local error:

0.7b
(/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0)))
0.4b
(+.p16 (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (real->posit16 1.0))
0.1b
(+.p16 (+.p16 alpha beta) (real->posit16 2.0))
0.1b
(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (real->posit16 1.0)) (real->posit16 2.0))

rewrite91.0ms

Algorithm
rewrite-expression-head
Rules
2×+-commutative
1×associate-+l+ p16-flip-- associate-/l/
Counts
4 → 4
Calls
4 calls:
Slowest
27.0ms
(+.p16 (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (real->posit16 1.0))
26.0ms
(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (real->posit16 1.0)) (real->posit16 2.0))
20.0ms
(+.p16 (+.p16 alpha beta) (real->posit16 2.0))
17.0ms
(/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0)))

series0.0ms

Counts
4 → 4
Calls
4 calls:
Slowest
0.0ms
(/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0)))
0.0ms
(+.p16 (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (real->posit16 1.0))
0.0ms
(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (real->posit16 1.0)) (real->posit16 2.0))
0.0ms
(+.p16 (+.p16 alpha beta) (real->posit16 2.0))

simplify1.0s

Counts
8 → 8

prune298.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.8b

localize423.0ms

Local error

Found 4 expressions with local error:

1.2b
(/.p16 (-.p16 (*.p16 beta beta) (*.p16 alpha alpha)) (*.p16 (+.p16 (+.p16 alpha beta) (real->posit16 2.0)) (+.p16 beta alpha)))
0.4b
(+.p16 (/.p16 (-.p16 (*.p16 beta beta) (*.p16 alpha alpha)) (*.p16 (+.p16 (+.p16 alpha beta) (real->posit16 2.0)) (+.p16 beta alpha))) (real->posit16 1.0))
0.2b
(-.p16 (*.p16 beta beta) (*.p16 alpha alpha))
0.2b
(*.p16 (+.p16 (+.p16 alpha beta) (real->posit16 2.0)) (+.p16 beta alpha))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
3×difference-of-squares
2×p16-flip--
1×distribute-rgt-in +-commutative associate-/r* sub-neg distribute-lft-in p16-times-frac *-commutative associate-/l* associate-/l/
Counts
4 → 11
Calls
4 calls:
Slowest
14.0ms
(*.p16 (+.p16 (+.p16 alpha beta) (real->posit16 2.0)) (+.p16 beta alpha))
11.0ms
(+.p16 (/.p16 (-.p16 (*.p16 beta beta) (*.p16 alpha alpha)) (*.p16 (+.p16 (+.p16 alpha beta) (real->posit16 2.0)) (+.p16 beta alpha))) (real->posit16 1.0))
8.0ms
(/.p16 (-.p16 (*.p16 beta beta) (*.p16 alpha alpha)) (*.p16 (+.p16 (+.p16 alpha beta) (real->posit16 2.0)) (+.p16 beta alpha)))
3.0ms
(-.p16 (*.p16 beta beta) (*.p16 alpha alpha))

series0.0ms

Counts
4 → 4
Calls
4 calls:
Slowest
0.0ms
(/.p16 (-.p16 (*.p16 beta beta) (*.p16 alpha alpha)) (*.p16 (+.p16 (+.p16 alpha beta) (real->posit16 2.0)) (+.p16 beta alpha)))
0.0ms
(-.p16 (*.p16 beta beta) (*.p16 alpha alpha))
0.0ms
(+.p16 (/.p16 (-.p16 (*.p16 beta beta) (*.p16 alpha alpha)) (*.p16 (+.p16 (+.p16 alpha beta) (real->posit16 2.0)) (+.p16 beta alpha))) (real->posit16 1.0))
0.0ms
(*.p16 (+.p16 (+.p16 alpha beta) (real->posit16 2.0)) (+.p16 beta alpha))

simplify3.1s

Counts
15 → 15

prune631.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.7b

localize236.0ms

Local error

Found 4 expressions with local error:

0.8b
(/.p16 (-.p16 beta alpha) (+.p16 beta alpha))
0.4b
(+.p16 (*.p16 (/.p16 (+.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (/.p16 (-.p16 beta alpha) (+.p16 beta alpha))) (real->posit16 1.0))
0.4b
(/.p16 (+.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0)))
0.3b
(*.p16 (/.p16 (+.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (/.p16 (-.p16 beta alpha) (+.p16 beta alpha)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
1×+-commutative associate-*l/ associate-*r/ p16-flip-- *-commutative associate-/l/
Counts
4 → 5
Calls
4 calls:
Slowest
10.0ms
(/.p16 (+.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0)))
5.0ms
(*.p16 (/.p16 (+.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (/.p16 (-.p16 beta alpha) (+.p16 beta alpha)))
4.0ms
(+.p16 (*.p16 (/.p16 (+.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (/.p16 (-.p16 beta alpha) (+.p16 beta alpha))) (real->posit16 1.0))
4.0ms
(/.p16 (-.p16 beta alpha) (+.p16 beta alpha))

series0.0ms

Counts
4 → 4
Calls
4 calls:
Slowest
0.0ms
(/.p16 (-.p16 beta alpha) (+.p16 beta alpha))
0.0ms
(+.p16 (*.p16 (/.p16 (+.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (/.p16 (-.p16 beta alpha) (+.p16 beta alpha))) (real->posit16 1.0))
0.0ms
(*.p16 (/.p16 (+.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (/.p16 (-.p16 beta alpha) (+.p16 beta alpha)))
0.0ms
(/.p16 (+.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0)))

simplify16.4s

Counts
9 → 9

prune328.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.7b

localize239.0ms

Local error

Found 4 expressions with local error:

0.8b
(/.p16 (*.p16 (-.p16 beta alpha) (/.p16 (+.p16 alpha beta) (+.p16 (real->posit16 2.0) (+.p16 alpha beta)))) (+.p16 beta alpha))
0.4b
(+.p16 (/.p16 (*.p16 (-.p16 beta alpha) (/.p16 (+.p16 alpha beta) (+.p16 (real->posit16 2.0) (+.p16 alpha beta)))) (+.p16 beta alpha)) (real->posit16 1.0))
0.4b
(/.p16 (+.p16 alpha beta) (+.p16 (real->posit16 2.0) (+.p16 alpha beta)))
0.2b
(*.p16 (-.p16 beta alpha) (/.p16 (+.p16 alpha beta) (+.p16 (real->posit16 2.0) (+.p16 alpha beta))))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
2×associate-*l/ associate-*r/ p16-flip-- associate-/l/
1×+-commutative *-commutative associate-/l*
Counts
4 → 7
Calls
4 calls:
Slowest
11.0ms
(/.p16 (+.p16 alpha beta) (+.p16 (real->posit16 2.0) (+.p16 alpha beta)))
10.0ms
(+.p16 (/.p16 (*.p16 (-.p16 beta alpha) (/.p16 (+.p16 alpha beta) (+.p16 (real->posit16 2.0) (+.p16 alpha beta)))) (+.p16 beta alpha)) (real->posit16 1.0))
9.0ms
(*.p16 (-.p16 beta alpha) (/.p16 (+.p16 alpha beta) (+.p16 (real->posit16 2.0) (+.p16 alpha beta))))
6.0ms
(/.p16 (*.p16 (-.p16 beta alpha) (/.p16 (+.p16 alpha beta) (+.p16 (real->posit16 2.0) (+.p16 alpha beta)))) (+.p16 beta alpha))

series0.0ms

Counts
4 → 4
Calls
4 calls:
Slowest
0.0ms
(/.p16 (*.p16 (-.p16 beta alpha) (/.p16 (+.p16 alpha beta) (+.p16 (real->posit16 2.0) (+.p16 alpha beta)))) (+.p16 beta alpha))
0.0ms
(+.p16 (/.p16 (*.p16 (-.p16 beta alpha) (/.p16 (+.p16 alpha beta) (+.p16 (real->posit16 2.0) (+.p16 alpha beta)))) (+.p16 beta alpha)) (real->posit16 1.0))
0.0ms
(*.p16 (-.p16 beta alpha) (/.p16 (+.p16 alpha beta) (+.p16 (real->posit16 2.0) (+.p16 alpha beta))))
0.0ms
(/.p16 (+.p16 alpha beta) (+.p16 (real->posit16 2.0) (+.p16 alpha beta)))

simplify1.6s

Counts
11 → 11

prune587.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.6b

regimes467.0ms

Accuracy

0% (0.3b remaining)

Error of 0.7b against oracle of 0.4b and baseline of 0.7b

bsearch2.0ms

end0.0ms

sample5.5s

Algorithm
halfpoints
Results