Details

Time bar (total: 15.0s)

sample204.0ms

Algorithm
halfpoints
Results

simplify544.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
543.0ms
(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (real->posit16 1.0)) (real->posit16 2.0))

prune55.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.8b

localize265.0ms

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))
0.0b
(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (real->posit16 1.0)) (real->posit16 2.0))

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
2×+-commutative
1×associate-+l+ p16-flip-- associate-/l/
Counts
4 → 4
Calls
4 calls:
Slowest
24.0ms
(+.p16 (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (real->posit16 1.0))
21.0ms
(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (real->posit16 1.0)) (real->posit16 2.0))
18.0ms
(+.p16 (+.p16 alpha beta) (real->posit16 2.0))
16.0ms
(/.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))

simplify2.2s

Counts
6 → 8
Calls
6 calls:
Slowest
598.0ms
(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (real->posit16 1.0)) (real->posit16 2.0))
585.0ms
(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (real->posit16 1.0)) (real->posit16 2.0))
467.0ms
(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (real->posit16 1.0)) (real->posit16 2.0))
450.0ms
(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (real->posit16 1.0)) (real->posit16 2.0))
60.0ms
(*.p16 (+.p16 (+.p16 alpha beta) (real->posit16 2.0)) (+.p16 beta alpha))

prune273.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.7b

localize267.0ms

Local error

Found 4 expressions with local error:

0.7b
(/.p16 (-.p16 beta alpha) (+.p16 alpha (+.p16 beta (real->posit16 2.0))))
0.4b
(+.p16 (/.p16 (-.p16 beta alpha) (+.p16 alpha (+.p16 beta (real->posit16 2.0)))) (real->posit16 1.0))
0.2b
(+.p16 alpha (+.p16 beta (real->posit16 2.0)))
0.0b
(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 alpha (+.p16 beta (real->posit16 2.0)))) (real->posit16 1.0)) (real->posit16 2.0))

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
2×+-commutative
1×associate-+r+ p16-flip-- associate-/l/
Counts
4 → 4
Calls
4 calls:
Slowest
24.0ms
(+.p16 (/.p16 (-.p16 beta alpha) (+.p16 alpha (+.p16 beta (real->posit16 2.0)))) (real->posit16 1.0))
21.0ms
(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 alpha (+.p16 beta (real->posit16 2.0)))) (real->posit16 1.0)) (real->posit16 2.0))
10.0ms
(+.p16 alpha (+.p16 beta (real->posit16 2.0)))
9.0ms
(/.p16 (-.p16 beta alpha) (+.p16 alpha (+.p16 beta (real->posit16 2.0))))

series0.0ms

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

simplify162.0ms

Counts
6 → 8
Calls
6 calls:
Slowest
140.0ms
(*.p16 (+.p16 alpha (+.p16 beta (real->posit16 2.0))) (+.p16 beta alpha))
6.0ms
(+.p16 beta (real->posit16 2.0))
5.0ms
(+.p16 beta (real->posit16 2.0))
5.0ms
(+.p16 beta (real->posit16 2.0))
3.0ms
(+.p16 beta (real->posit16 2.0))

prune351.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.7b

localize390.0ms

Local error

Found 4 expressions with local error:

1.3b
(/.p16 (-.p16 (*.p16 beta beta) (*.p16 alpha alpha)) (*.p16 (+.p16 beta alpha) (+.p16 (+.p16 beta alpha) (real->posit16 2.0))))
0.4b
(+.p16 (/.p16 (-.p16 (*.p16 beta beta) (*.p16 alpha alpha)) (*.p16 (+.p16 beta alpha) (+.p16 (+.p16 beta alpha) (real->posit16 2.0)))) (real->posit16 1.0))
0.3b
(*.p16 (+.p16 beta alpha) (+.p16 (+.p16 beta alpha) (real->posit16 2.0)))
0.2b
(-.p16 (*.p16 beta beta) (*.p16 alpha alpha))

rewrite55.0ms

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
21.0ms
(+.p16 (/.p16 (-.p16 (*.p16 beta beta) (*.p16 alpha alpha)) (*.p16 (+.p16 beta alpha) (+.p16 (+.p16 beta alpha) (real->posit16 2.0)))) (real->posit16 1.0))
18.0ms
(/.p16 (-.p16 (*.p16 beta beta) (*.p16 alpha alpha)) (*.p16 (+.p16 beta alpha) (+.p16 (+.p16 beta alpha) (real->posit16 2.0))))
13.0ms
(*.p16 (+.p16 beta alpha) (+.p16 (+.p16 beta alpha) (real->posit16 2.0)))
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 beta alpha) (+.p16 (+.p16 beta alpha) (real->posit16 2.0))))
0.0ms
(+.p16 (/.p16 (-.p16 (*.p16 beta beta) (*.p16 alpha alpha)) (*.p16 (+.p16 beta alpha) (+.p16 (+.p16 beta alpha) (real->posit16 2.0)))) (real->posit16 1.0))
0.0ms
(*.p16 (+.p16 beta alpha) (+.p16 (+.p16 beta alpha) (real->posit16 2.0)))
0.0ms
(-.p16 (*.p16 beta beta) (*.p16 alpha alpha))

simplify3.2s

Counts
18 → 15
Calls
18 calls:
Slowest
774.0ms
(/.p16 (+.p16 (/.p16 (-.p16 (*.p16 beta beta) (*.p16 alpha alpha)) (*.p16 (+.p16 beta alpha) (+.p16 (+.p16 beta alpha) (real->posit16 2.0)))) (real->posit16 1.0)) (real->posit16 2.0))
772.0ms
(/.p16 (+.p16 (/.p16 (-.p16 (*.p16 beta beta) (*.p16 alpha alpha)) (*.p16 (+.p16 beta alpha) (+.p16 (+.p16 beta alpha) (real->posit16 2.0)))) (real->posit16 1.0)) (real->posit16 2.0))
602.0ms
(/.p16 (+.p16 (/.p16 (-.p16 (*.p16 beta beta) (*.p16 alpha alpha)) (*.p16 (+.p16 beta alpha) (+.p16 (+.p16 beta alpha) (real->posit16 2.0)))) (real->posit16 1.0)) (real->posit16 2.0))
477.0ms
(/.p16 (+.p16 (/.p16 (-.p16 (*.p16 beta beta) (*.p16 alpha alpha)) (*.p16 (+.p16 beta alpha) (+.p16 (+.p16 beta alpha) (real->posit16 2.0)))) (real->posit16 1.0)) (real->posit16 2.0))
216.0ms
(*.p16 (*.p16 (+.p16 beta alpha) (+.p16 (+.p16 beta alpha) (real->posit16 2.0))) (+.p16 (*.p16 beta beta) (*.p16 alpha alpha)))

prune646.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.6b

localize206.0ms

Local error

Found 4 expressions with local error:

1.3b
(/.p16 (*.p16 (+.p16 beta alpha) (-.p16 beta alpha)) (*.p16 (+.p16 beta alpha) (+.p16 (+.p16 beta alpha) (real->posit16 2.0))))
0.4b
(+.p16 (/.p16 (*.p16 (+.p16 beta alpha) (-.p16 beta alpha)) (*.p16 (+.p16 beta alpha) (+.p16 (+.p16 beta alpha) (real->posit16 2.0)))) (real->posit16 1.0))
0.3b
(*.p16 (+.p16 beta alpha) (+.p16 (+.p16 beta alpha) (real->posit16 2.0)))
0.1b
(*.p16 (+.p16 beta alpha) (-.p16 beta alpha))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
2×distribute-rgt-in sub-neg distribute-lft-in associate-*r/ p16-flip-- *-commutative
1×+-commutative associate-/r* p16-times-frac associate-/l* associate-/l/
Counts
4 → 12
Calls
4 calls:
Slowest
8.0ms
(*.p16 (+.p16 beta alpha) (+.p16 (+.p16 beta alpha) (real->posit16 2.0)))
6.0ms
(+.p16 (/.p16 (*.p16 (+.p16 beta alpha) (-.p16 beta alpha)) (*.p16 (+.p16 beta alpha) (+.p16 (+.p16 beta alpha) (real->posit16 2.0)))) (real->posit16 1.0))
6.0ms
(*.p16 (+.p16 beta alpha) (-.p16 beta alpha))
4.0ms
(/.p16 (*.p16 (+.p16 beta alpha) (-.p16 beta alpha)) (*.p16 (+.p16 beta alpha) (+.p16 (+.p16 beta alpha) (real->posit16 2.0))))

series0.0ms

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

simplify496.0ms

Counts
22 → 16
Calls
22 calls:
Slowest
225.0ms
(/.p16 (*.p16 (+.p16 beta alpha) (+.p16 (+.p16 beta alpha) (real->posit16 2.0))) (-.p16 beta alpha))
72.0ms
(*.p16 (*.p16 (+.p16 beta alpha) (+.p16 (+.p16 beta alpha) (real->posit16 2.0))) (+.p16 beta alpha))
49.0ms
(/.p16 (*.p16 (+.p16 beta alpha) (-.p16 beta alpha)) (+.p16 beta alpha))
38.0ms
(*.p16 (+.p16 beta alpha) (-.p16 (*.p16 beta beta) (*.p16 alpha alpha)))
32.0ms
(/.p16 (-.p16 beta alpha) (+.p16 (+.p16 beta alpha) (real->posit16 2.0)))

prune655.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.6b

regimes306.0ms

Accuracy

-∞% (-63.3b remaining)

Error of 0.7b against oracle of 64.0b and baseline of 64.0b

bsearch2.0ms

end0.0ms

sample4.7s

Algorithm
halfpoints
Results