Details

Time bar (total: 16.1s)

sample249.0ms

Algorithm
halfpoints
Results

simplify1.8s

Counts
1 → 1

prune20.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.5b

localize145.0ms

Local error

Found 4 expressions with local error:

0.9b
(-.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))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
3×p16-flip--
2×sub-neg
1×associate-/l/
Counts
4 → 5
Calls
4 calls:
Slowest
15.0ms
(-.p16 (*.p16 b_2 b_2) (*.p16 a c))
3.0ms
(-.p16 (neg.p16 b_2) (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 a c))))
3.0ms
(/.p16 (-.p16 (neg.p16 b_2) (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 a c)))) a)
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))

simplify1.6s

Counts
9 → 9

prune200.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 1.1b

localize210.0ms

Local error

Found 4 expressions with local error:

1.7b
(/.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)))
0.9b
(-.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 b_2 b_2) (*.p16 a c))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
2×p16-flip--
1×+-commutative sub-neg associate-/l* difference-of-squares associate-/l/
Counts
4 → 5
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)))
4.0ms
(+.p16 (*.p16 b_2 b_2) (*.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 b_2 b_2) (*.p16 a c))

simplify1.3s

Counts
9 → 9

prune344.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 1.1b

localize225.0ms

Local error

Found 4 expressions with local error:

0.9b
(-.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))))))
0.8b
(/.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 b_2 b_2) (*.p16 a c))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
2×p16-flip--
1×+-commutative sub-neg associate-/r/
Counts
4 → 4
Calls
4 calls:
Slowest
8.0ms
(+.p16 (*.p16 b_2 b_2) (*.p16 a c))
8.0ms
(/.p16 (+.p16 (*.p16 b_2 b_2) (*.p16 a c)) (-.p16 (*.p16 b_2 b_2) (*.p16 a c)))
4.0ms
(-.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
(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)))
0.0ms
(+.p16 (*.p16 b_2 b_2) (*.p16 a c))

simplify3.5s

Counts
8 → 8

prune278.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 1.1b

localize368.0ms

Local error

Found 4 expressions with local error:

1.2b
(*.p16 (/.p16 (real->posit16 1.0) (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) (+.p16 (*.p16 b_2 b_2) (*.p16 a c)))
0.9b
(-.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 b_2 b_2) (*.p16 a c))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
2×p16-flip--
1×distribute-rgt-in +-commutative sub-neg distribute-lft-in associate-*l* associate-*l/ associate-/r/ *-commutative
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)))
4.0ms
(+.p16 (*.p16 b_2 b_2) (*.p16 a c))
2.0ms
(-.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
(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 b_2 b_2) (*.p16 a c))

simplify1.9s

Counts
12 → 12

prune341.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 1.1b

regimes343.0ms

Accuracy

-∞% (-62.3b remaining)

Error of 1.7b against oracle of 64.0b and baseline of 64.0b

bsearch4.0ms

end0.0ms

sample3.1s

Algorithm
halfpoints
Results