Details

Time bar (total: 19.3s)

sample834.0ms

Algorithm
halfpoints
Results

simplify2.4s

Counts
1 → 1

prune34.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.8b

localize173.0ms

Local error

Found 4 expressions with local error:

1.0b
(-.p16 (neg.p16 b_2) (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 a c))))
0.4b
(sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 a c)))
0.3b
(/.p16 (-.p16 (neg.p16 b_2) (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 a c)))) a)
0.3b
(-.p16 (*.p16 b_2 b_2) (*.p16 a c))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
3×p16-flip--
2×sub-neg
1×associate-/l/
Counts
4 → 5
Calls
4 calls:
Slowest
12.0ms
(/.p16 (-.p16 (neg.p16 b_2) (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 a c)))) a)
4.0ms
(-.p16 (neg.p16 b_2) (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 a c))))
4.0ms
(-.p16 (*.p16 b_2 b_2) (*.p16 a c))
0.0ms
(sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 a c)))

series1.0ms

Counts
4 → 4
Calls
4 calls:
Slowest
0.0ms
(-.p16 (neg.p16 b_2) (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 a c))))
0.0ms
(sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 a c)))
0.0ms
(/.p16 (-.p16 (neg.p16 b_2) (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 a c)))) a)
0.0ms
(-.p16 (*.p16 b_2 b_2) (*.p16 a c))

simplify1.3s

Counts
9 → 9

prune296.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 1.3b

localize320.0ms

Local error

Found 4 expressions with local error:

1.8b
(/.p16 (-.p16 (*.p16 (*.p16 b_2 b_2) (*.p16 b_2 b_2)) (*.p16 (*.p16 a c) (*.p16 a c))) (+.p16 (*.p16 b_2 b_2) (*.p16 a c)))
1.0b
(-.p16 (neg.p16 b_2) (sqrt.p16 (/.p16 (-.p16 (*.p16 (*.p16 b_2 b_2) (*.p16 b_2 b_2)) (*.p16 (*.p16 a c) (*.p16 a c))) (+.p16 (*.p16 b_2 b_2) (*.p16 a c)))))
0.4b
(sqrt.p16 (/.p16 (-.p16 (*.p16 (*.p16 b_2 b_2) (*.p16 b_2 b_2)) (*.p16 (*.p16 a c) (*.p16 a c))) (+.p16 (*.p16 b_2 b_2) (*.p16 a c))))
0.3b
(-.p16 (*.p16 (*.p16 b_2 b_2) (*.p16 b_2 b_2)) (*.p16 (*.p16 a c) (*.p16 a c)))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
3×p16-flip--
2×sub-neg difference-of-squares
1×associate-/l* associate-/l/
Counts
4 → 7
Calls
4 calls:
Slowest
8.0ms
(/.p16 (-.p16 (*.p16 (*.p16 b_2 b_2) (*.p16 b_2 b_2)) (*.p16 (*.p16 a c) (*.p16 a c))) (+.p16 (*.p16 b_2 b_2) (*.p16 a c)))
7.0ms
(-.p16 (*.p16 (*.p16 b_2 b_2) (*.p16 b_2 b_2)) (*.p16 (*.p16 a c) (*.p16 a c)))
2.0ms
(-.p16 (neg.p16 b_2) (sqrt.p16 (/.p16 (-.p16 (*.p16 (*.p16 b_2 b_2) (*.p16 b_2 b_2)) (*.p16 (*.p16 a c) (*.p16 a c))) (+.p16 (*.p16 b_2 b_2) (*.p16 a c)))))
0.0ms
(sqrt.p16 (/.p16 (-.p16 (*.p16 (*.p16 b_2 b_2) (*.p16 b_2 b_2)) (*.p16 (*.p16 a c) (*.p16 a c))) (+.p16 (*.p16 b_2 b_2) (*.p16 a c))))

series0.0ms

Counts
4 → 4
Calls
4 calls:
Slowest
0.0ms
(/.p16 (-.p16 (*.p16 (*.p16 b_2 b_2) (*.p16 b_2 b_2)) (*.p16 (*.p16 a c) (*.p16 a c))) (+.p16 (*.p16 b_2 b_2) (*.p16 a c)))
0.0ms
(-.p16 (neg.p16 b_2) (sqrt.p16 (/.p16 (-.p16 (*.p16 (*.p16 b_2 b_2) (*.p16 b_2 b_2)) (*.p16 (*.p16 a c) (*.p16 a c))) (+.p16 (*.p16 b_2 b_2) (*.p16 a c)))))
0.0ms
(sqrt.p16 (/.p16 (-.p16 (*.p16 (*.p16 b_2 b_2) (*.p16 b_2 b_2)) (*.p16 (*.p16 a c) (*.p16 a c))) (+.p16 (*.p16 b_2 b_2) (*.p16 a c))))
0.0ms
(-.p16 (*.p16 (*.p16 b_2 b_2) (*.p16 b_2 b_2)) (*.p16 (*.p16 a c) (*.p16 a c)))

simplify3.0s

Counts
11 → 11

prune402.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 1.3b

localize298.0ms

Local error

Found 4 expressions with local error:

1.0b
(-.p16 (neg.p16 b_2) (sqrt.p16 (/.p16 (+.p16 (*.p16 b_2 b_2) (*.p16 a c)) (/.p16 (+.p16 (*.p16 b_2 b_2) (*.p16 a c)) (-.p16 (*.p16 b_2 b_2) (*.p16 a c))))))
1.0b
(/.p16 (+.p16 (*.p16 b_2 b_2) (*.p16 a c)) (-.p16 (*.p16 b_2 b_2) (*.p16 a c)))
0.4b
(sqrt.p16 (/.p16 (+.p16 (*.p16 b_2 b_2) (*.p16 a c)) (/.p16 (+.p16 (*.p16 b_2 b_2) (*.p16 a c)) (-.p16 (*.p16 b_2 b_2) (*.p16 a c)))))
0.3b
(/.p16 (-.p16 (neg.p16 b_2) (sqrt.p16 (/.p16 (+.p16 (*.p16 b_2 b_2) (*.p16 a c)) (/.p16 (+.p16 (*.p16 b_2 b_2) (*.p16 a c)) (-.p16 (*.p16 b_2 b_2) (*.p16 a c)))))) a)

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
3×p16-flip--
1×sub-neg associate-/r/ associate-/l/
Counts
4 → 4
Calls
4 calls:
Slowest
4.0ms
(/.p16 (+.p16 (*.p16 b_2 b_2) (*.p16 a c)) (-.p16 (*.p16 b_2 b_2) (*.p16 a c)))
2.0ms
(/.p16 (-.p16 (neg.p16 b_2) (sqrt.p16 (/.p16 (+.p16 (*.p16 b_2 b_2) (*.p16 a c)) (/.p16 (+.p16 (*.p16 b_2 b_2) (*.p16 a c)) (-.p16 (*.p16 b_2 b_2) (*.p16 a c)))))) a)
2.0ms
(-.p16 (neg.p16 b_2) (sqrt.p16 (/.p16 (+.p16 (*.p16 b_2 b_2) (*.p16 a c)) (/.p16 (+.p16 (*.p16 b_2 b_2) (*.p16 a c)) (-.p16 (*.p16 b_2 b_2) (*.p16 a c))))))
0.0ms
(sqrt.p16 (/.p16 (+.p16 (*.p16 b_2 b_2) (*.p16 a c)) (/.p16 (+.p16 (*.p16 b_2 b_2) (*.p16 a c)) (-.p16 (*.p16 b_2 b_2) (*.p16 a c)))))

series0.0ms

Counts
4 → 4
Calls
4 calls:
Slowest
0.0ms
(-.p16 (neg.p16 b_2) (sqrt.p16 (/.p16 (+.p16 (*.p16 b_2 b_2) (*.p16 a c)) (/.p16 (+.p16 (*.p16 b_2 b_2) (*.p16 a c)) (-.p16 (*.p16 b_2 b_2) (*.p16 a c))))))
0.0ms
(/.p16 (-.p16 (neg.p16 b_2) (sqrt.p16 (/.p16 (+.p16 (*.p16 b_2 b_2) (*.p16 a c)) (/.p16 (+.p16 (*.p16 b_2 b_2) (*.p16 a c)) (-.p16 (*.p16 b_2 b_2) (*.p16 a c)))))) a)
0.0ms
(sqrt.p16 (/.p16 (+.p16 (*.p16 b_2 b_2) (*.p16 a c)) (/.p16 (+.p16 (*.p16 b_2 b_2) (*.p16 a c)) (-.p16 (*.p16 b_2 b_2) (*.p16 a c)))))
0.0ms
(/.p16 (+.p16 (*.p16 b_2 b_2) (*.p16 a c)) (-.p16 (*.p16 b_2 b_2) (*.p16 a c)))

simplify3.3s

Counts
8 → 8

prune431.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 1.3b

localize470.0ms

Local error

Found 4 expressions with local error:

1.5b
(*.p16 (/.p16 (real->posit16 1.0) (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) (+.p16 (*.p16 b_2 b_2) (*.p16 a c)))
1.0b
(-.p16 (neg.p16 b_2) (sqrt.p16 (/.p16 (+.p16 (*.p16 b_2 b_2) (*.p16 a c)) (*.p16 (/.p16 (real->posit16 1.0) (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) (+.p16 (*.p16 b_2 b_2) (*.p16 a c))))))
0.4b
(sqrt.p16 (/.p16 (+.p16 (*.p16 b_2 b_2) (*.p16 a c)) (*.p16 (/.p16 (real->posit16 1.0) (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) (+.p16 (*.p16 b_2 b_2) (*.p16 a c)))))
0.3b
(/.p16 (-.p16 (neg.p16 b_2) (sqrt.p16 (/.p16 (+.p16 (*.p16 b_2 b_2) (*.p16 a c)) (*.p16 (/.p16 (real->posit16 1.0) (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) (+.p16 (*.p16 b_2 b_2) (*.p16 a c)))))) a)

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
3×p16-flip--
1×distribute-rgt-in sub-neg distribute-lft-in associate-*l* associate-*l/ associate-/r/ *-commutative associate-/l/
Counts
4 → 8
Calls
4 calls:
Slowest
6.0ms
(*.p16 (/.p16 (real->posit16 1.0) (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) (+.p16 (*.p16 b_2 b_2) (*.p16 a c)))
5.0ms
(/.p16 (-.p16 (neg.p16 b_2) (sqrt.p16 (/.p16 (+.p16 (*.p16 b_2 b_2) (*.p16 a c)) (*.p16 (/.p16 (real->posit16 1.0) (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) (+.p16 (*.p16 b_2 b_2) (*.p16 a c)))))) a)
3.0ms
(-.p16 (neg.p16 b_2) (sqrt.p16 (/.p16 (+.p16 (*.p16 b_2 b_2) (*.p16 a c)) (*.p16 (/.p16 (real->posit16 1.0) (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) (+.p16 (*.p16 b_2 b_2) (*.p16 a c))))))
0.0ms
(sqrt.p16 (/.p16 (+.p16 (*.p16 b_2 b_2) (*.p16 a c)) (*.p16 (/.p16 (real->posit16 1.0) (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) (+.p16 (*.p16 b_2 b_2) (*.p16 a c)))))

series0.0ms

Counts
4 → 4
Calls
4 calls:
Slowest
0.0ms
(*.p16 (/.p16 (real->posit16 1.0) (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) (+.p16 (*.p16 b_2 b_2) (*.p16 a c)))
0.0ms
(-.p16 (neg.p16 b_2) (sqrt.p16 (/.p16 (+.p16 (*.p16 b_2 b_2) (*.p16 a c)) (*.p16 (/.p16 (real->posit16 1.0) (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) (+.p16 (*.p16 b_2 b_2) (*.p16 a c))))))
0.0ms
(/.p16 (-.p16 (neg.p16 b_2) (sqrt.p16 (/.p16 (+.p16 (*.p16 b_2 b_2) (*.p16 a c)) (*.p16 (/.p16 (real->posit16 1.0) (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) (+.p16 (*.p16 b_2 b_2) (*.p16 a c)))))) a)
0.0ms
(sqrt.p16 (/.p16 (+.p16 (*.p16 b_2 b_2) (*.p16 a c)) (*.p16 (/.p16 (real->posit16 1.0) (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) (+.p16 (*.p16 b_2 b_2) (*.p16 a c)))))

simplify1.5s

Counts
12 → 12

prune504.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 1.2b

regimes820.0ms

Accuracy

0% (0.4b remaining)

Error of 1.7b against oracle of 1.3b and baseline of 1.7b

bsearch4.0ms

end0.0ms

sample3.0s

Algorithm
halfpoints
Results