Details

Time bar (total: 13.9s)

sample344.0ms

Algorithm
halfpoints
Results

simplify1.3s

Counts
1 → 1
Calls
1 calls:
Slowest
1.3s
(/.p16 (-.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 a c))))) (*.p16 (real->posit16 2) a))

prune62.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.6b

localize519.0ms

Local error

Found 4 expressions with local error:

0.9b
(-.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 a c)))))
0.4b
(sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 a c))))
0.3b
(/.p16 (-.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 a c))))) (*.p16 (real->posit16 2) a))
0.3b
(*.p16 (real->posit16 4) (*.p16 a c))

rewrite12.0ms

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

series0.0ms

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

simplify2.1s

Counts
5 → 10
Calls
5 calls:
Slowest
583.0ms
(-.p16 (*.p16 (neg.p16 b) (neg.p16 b)) (*.p16 (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 a c)))) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 a c))))))
412.0ms
(/.p16 (-.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 a c))))) (*.p16 (real->posit16 2) a))
390.0ms
(/.p16 (-.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 a c))))) (*.p16 (real->posit16 2) a))
384.0ms
(/.p16 (-.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 a c))))) (*.p16 (real->posit16 2) a))
367.0ms
(/.p16 (-.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 a c))))) (*.p16 (real->posit16 2) a))

prune492.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.4b

localize206.0ms

Local error

Found 4 expressions with local error:

0.9b
(-.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 (real->posit16 4) a) c))))
0.4b
(sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 (real->posit16 4) a) c)))
0.3b
(/.p16 (-.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 (real->posit16 4) a) c)))) (*.p16 (real->posit16 2) a))
0.3b
(-.p16 (*.p16 b b) (*.p16 (*.p16 (real->posit16 4) a) c))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
3×p16-flip--
2×sub-neg
1×associate-/r* associate-/l/
Counts
4 → 6
Calls
4 calls:
Slowest
11.0ms
(/.p16 (-.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 (real->posit16 4) a) c)))) (*.p16 (real->posit16 2) a))
4.0ms
(-.p16 (*.p16 b b) (*.p16 (*.p16 (real->posit16 4) a) c))
2.0ms
(-.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 (real->posit16 4) a) c))))
0.0ms
(sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 (real->posit16 4) a) c)))

series0.0ms

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

simplify631.0ms

Counts
1 → 10
Calls
1 calls:
Slowest
631.0ms
(-.p16 (*.p16 (neg.p16 b) (neg.p16 b)) (*.p16 (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 (real->posit16 4) a) c))) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 (real->posit16 4) a) c)))))

prune548.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.4b

localize199.0ms

Local error

Found 4 expressions with local error:

0.9b
(-.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 a c)))))
0.4b
(sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 a c))))
0.3b
(*.p16 (real->posit16 4) (*.p16 a c))
0.3b
(/.p16 (/.p16 (-.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 a c))))) (real->posit16 2)) a)

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
1×sub-neg associate-*r* p16-flip-- *-commutative associate-/l/
Counts
4 → 5
Calls
4 calls:
Slowest
4.0ms
(*.p16 (real->posit16 4) (*.p16 a c))
3.0ms
(/.p16 (/.p16 (-.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 a c))))) (real->posit16 2)) a)
2.0ms
(-.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 a c)))))
0.0ms
(sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 a c))))

series0.0ms

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

simplify281.0ms

Counts
1 → 9
Calls
1 calls:
Slowest
280.0ms
(-.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 a c)))))

prune606.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.4b

localize462.0ms

Local error

Found 4 expressions with local error:

0.9b
(+.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 a c)))))
0.8b
(/.p16 (+.p16 (*.p16 (+.p16 (neg.p16 b) b) (+.p16 (neg.p16 b) (neg.p16 b))) (*.p16 (real->posit16 4) (*.p16 a c))) (*.p16 (*.p16 (real->posit16 2) a) (+.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 a c)))))))
0.4b
(sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 a c))))
0.3b
(*.p16 (real->posit16 4) (*.p16 a c))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
1×+-commutative associate-/r* associate-*r* *-commutative
Counts
4 → 4
Calls
4 calls:
Slowest
8.0ms
(*.p16 (real->posit16 4) (*.p16 a c))
7.0ms
(/.p16 (+.p16 (*.p16 (+.p16 (neg.p16 b) b) (+.p16 (neg.p16 b) (neg.p16 b))) (*.p16 (real->posit16 4) (*.p16 a c))) (*.p16 (*.p16 (real->posit16 2) a) (+.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 a c)))))))
6.0ms
(+.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 a c)))))
0.0ms
(sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 a c))))

series0.0ms

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

simplify1.7s

Counts
5 → 8
Calls
5 calls:
Slowest
399.0ms
(/.p16 (+.p16 (*.p16 (+.p16 (neg.p16 b) b) (+.p16 (neg.p16 b) (neg.p16 b))) (*.p16 (real->posit16 4) (*.p16 a c))) (*.p16 (*.p16 (real->posit16 2) a) (+.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 a c)))))))
377.0ms
(/.p16 (+.p16 (*.p16 (+.p16 (neg.p16 b) b) (+.p16 (neg.p16 b) (neg.p16 b))) (*.p16 (real->posit16 4) (*.p16 a c))) (*.p16 (*.p16 (real->posit16 2) a) (+.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 a c)))))))
376.0ms
(/.p16 (+.p16 (*.p16 (+.p16 (neg.p16 b) b) (+.p16 (neg.p16 b) (neg.p16 b))) (*.p16 (real->posit16 4) (*.p16 a c))) (*.p16 (*.p16 (real->posit16 2) a) (+.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 a c)))))))
332.0ms
(/.p16 (+.p16 (*.p16 (+.p16 (neg.p16 b) b) (+.p16 (neg.p16 b) (neg.p16 b))) (*.p16 (real->posit16 4) (*.p16 a c))) (*.p16 (*.p16 (real->posit16 2) a) (+.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 a c)))))))
172.0ms
(+.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 a c)))))

prune339.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.3b

regimes610.0ms

Accuracy

-∞% (-62.5b remaining)

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

bsearch3.0ms

end0.0ms

sample3.5s

Algorithm
halfpoints
Results