Details

Time bar (total: 11.6s)

sample194.0ms

Algorithm
halfpoints
Results

simplify249.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
249.0ms
(/.p16 (+.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 a c))))) (*.p16 (real->posit16 2) a))

prune59.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.3b

localize181.0ms

Local error

Found 4 expressions with local error:

0.9b
(-.p16 (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 c a) (real->posit16 4)))) b)
0.3b
(*.p16 (*.p16 c a) (real->posit16 4))
0.3b
(sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 c a) (real->posit16 4))))
0.3b
(/.p16 (-.p16 (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 c a) (real->posit16 4)))) b) (*.p16 (real->posit16 2) a))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
2×p16-flip--
1×associate-/r* sub-neg associate-*l* *-commutative associate-/l/
Counts
4 → 6
Calls
4 calls:
Slowest
4.0ms
(/.p16 (-.p16 (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 c a) (real->posit16 4)))) b) (*.p16 (real->posit16 2) a))
3.0ms
(-.p16 (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 c a) (real->posit16 4)))) b)
3.0ms
(*.p16 (*.p16 c a) (real->posit16 4))
0.0ms
(sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 c a) (real->posit16 4))))

series1.0ms

Counts
4 → 4
Calls
4 calls:
Slowest
0.0ms
(-.p16 (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 c a) (real->posit16 4)))) b)
0.0ms
(*.p16 (*.p16 c a) (real->posit16 4))
0.0ms
(/.p16 (-.p16 (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 c a) (real->posit16 4)))) b) (*.p16 (real->posit16 2) a))
0.0ms
(sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 c a) (real->posit16 4))))

simplify2.6s

Counts
5 → 10
Calls
5 calls:
Slowest
811.0ms
(-.p16 (*.p16 (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 c a) (real->posit16 4)))) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 c a) (real->posit16 4))))) (*.p16 b b))
523.0ms
(/.p16 (-.p16 (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 c a) (real->posit16 4)))) b) (*.p16 (real->posit16 2) a))
496.0ms
(/.p16 (-.p16 (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 c a) (real->posit16 4)))) b) (*.p16 (real->posit16 2) a))
368.0ms
(/.p16 (-.p16 (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 c a) (real->posit16 4)))) b) (*.p16 (real->posit16 2) a))
360.0ms
(/.p16 (-.p16 (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 c a) (real->posit16 4)))) b) (*.p16 (real->posit16 2) a))

prune614.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 1.0b

localize317.0ms

Local error

Found 4 expressions with local error:

0.9b
(-.p16 (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 c a) (real->posit16 4)))) b)
0.3b
(*.p16 (*.p16 c a) (real->posit16 4))
0.3b
(sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 c a) (real->posit16 4))))
0.2b
(-.p16 (*.p16 b b) (*.p16 (*.p16 c a) (real->posit16 4)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
2×sub-neg p16-flip--
1×associate-*l* *-commutative
Counts
4 → 6
Calls
4 calls:
Slowest
9.0ms
(-.p16 (*.p16 b b) (*.p16 (*.p16 c a) (real->posit16 4)))
7.0ms
(*.p16 (*.p16 c a) (real->posit16 4))
4.0ms
(-.p16 (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 c a) (real->posit16 4)))) b)
0.0ms
(sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 c a) (real->posit16 4))))

series0.0ms

Counts
4 → 4
Calls
4 calls:
Slowest
0.0ms
(-.p16 (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 c a) (real->posit16 4)))) b)
0.0ms
(sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 c a) (real->posit16 4))))
0.0ms
(-.p16 (*.p16 b b) (*.p16 (*.p16 c a) (real->posit16 4)))
0.0ms
(*.p16 (*.p16 c a) (real->posit16 4))

simplify1.0ms

Counts
0 → 10
Calls
0 calls:
Slowest

prune415.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 1.0b

localize208.0ms

Local error

Found 4 expressions with local error:

0.9b
(-.p16 (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 c (*.p16 a (real->posit16 4))))) b)
0.3b
(sqrt.p16 (-.p16 (*.p16 b b) (*.p16 c (*.p16 a (real->posit16 4)))))
0.3b
(/.p16 (-.p16 (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 c (*.p16 a (real->posit16 4))))) b) (*.p16 (real->posit16 2) a))
0.2b
(-.p16 (*.p16 b b) (*.p16 c (*.p16 a (real->posit16 4))))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
3×p16-flip--
2×sub-neg
1×associate-/r* associate-/l/
Counts
4 → 6
Calls
4 calls:
Slowest
5.0ms
(-.p16 (*.p16 b b) (*.p16 c (*.p16 a (real->posit16 4))))
3.0ms
(/.p16 (-.p16 (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 c (*.p16 a (real->posit16 4))))) b) (*.p16 (real->posit16 2) a))
2.0ms
(-.p16 (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 c (*.p16 a (real->posit16 4))))) b)
0.0ms
(sqrt.p16 (-.p16 (*.p16 b b) (*.p16 c (*.p16 a (real->posit16 4)))))

series0.0ms

Counts
4 → 4
Calls
4 calls:
Slowest
0.0ms
(-.p16 (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 c (*.p16 a (real->posit16 4))))) b)
0.0ms
(/.p16 (-.p16 (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 c (*.p16 a (real->posit16 4))))) b) (*.p16 (real->posit16 2) a))
0.0ms
(sqrt.p16 (-.p16 (*.p16 b b) (*.p16 c (*.p16 a (real->posit16 4)))))
0.0ms
(-.p16 (*.p16 b b) (*.p16 c (*.p16 a (real->posit16 4))))

simplify680.0ms

Counts
1 → 10
Calls
1 calls:
Slowest
679.0ms
(-.p16 (*.p16 (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 c (*.p16 a (real->posit16 4))))) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 c (*.p16 a (real->posit16 4)))))) (*.p16 b b))

prune408.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 1.0b

localize191.0ms

Local error

Found 4 expressions with local error:

0.9b
(-.p16 (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 c (*.p16 a (real->posit16 4))))) b)
0.3b
(sqrt.p16 (-.p16 (*.p16 b b) (*.p16 c (*.p16 a (real->posit16 4)))))
0.2b
(-.p16 (*.p16 b b) (*.p16 c (*.p16 a (real->posit16 4))))
0.2b
(/.p16 (/.p16 (-.p16 (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 c (*.p16 a (real->posit16 4))))) b) (real->posit16 2)) a)

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
2×sub-neg p16-flip--
1×associate-/l/
Counts
4 → 5
Calls
4 calls:
Slowest
6.0ms
(/.p16 (/.p16 (-.p16 (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 c (*.p16 a (real->posit16 4))))) b) (real->posit16 2)) a)
5.0ms
(-.p16 (*.p16 b b) (*.p16 c (*.p16 a (real->posit16 4))))
2.0ms
(-.p16 (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 c (*.p16 a (real->posit16 4))))) b)
0.0ms
(sqrt.p16 (-.p16 (*.p16 b b) (*.p16 c (*.p16 a (real->posit16 4)))))

series0.0ms

Counts
4 → 4
Calls
4 calls:
Slowest
0.0ms
(-.p16 (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 c (*.p16 a (real->posit16 4))))) b)
0.0ms
(/.p16 (/.p16 (-.p16 (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 c (*.p16 a (real->posit16 4))))) b) (real->posit16 2)) a)
0.0ms
(sqrt.p16 (-.p16 (*.p16 b b) (*.p16 c (*.p16 a (real->posit16 4)))))
0.0ms
(-.p16 (*.p16 b b) (*.p16 c (*.p16 a (real->posit16 4))))

simplify680.0ms

Counts
1 → 9
Calls
1 calls:
Slowest
679.0ms
(-.p16 (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 c (*.p16 a (real->posit16 4))))) b)

prune312.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 1.0b

regimes518.0ms

Accuracy

-∞% (-62.5b remaining)

Error of 1.5b against oracle of 64.0b and baseline of 64.0b

bsearch4.0ms

end0.0ms

sample4.0s

Algorithm
halfpoints
Results