Details

Time bar (total: 13.3s)

sample286.0ms

Algorithm
halfpoints
Results

simplify776.0ms

Counts
1 → 1

prune21.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.7b

localize155.0ms

Local error

Found 4 expressions with local error:

1.1b
(-.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) b_2)
0.3b
(sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a)))
0.3b
(/.p16 (-.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) b_2) a)
0.2b
(-.p16 (*.p16 b_2 b_2) (*.p16 c a))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
3×p16-flip--
2×sub-neg
1×associate-/l/
Counts
4 → 5
Calls
4 calls:
Slowest
6.0ms
(-.p16 (*.p16 b_2 b_2) (*.p16 c a))
6.0ms
(/.p16 (-.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) b_2) a)
5.0ms
(-.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) b_2)
0.0ms
(sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a)))

series1.0ms

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

simplify1.5s

Counts
9 → 9

prune183.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 1.4b

localize264.0ms

Local error

Found 4 expressions with local error:

2.7b
(-.p16 (*.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a)))) (*.p16 b_2 b_2))
1.1b
(+.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) b_2)
0.6b
(/.p16 (-.p16 (*.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a)))) (*.p16 b_2 b_2)) (+.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) b_2))
0.3b
(sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
2×p16-flip-- difference-of-squares
1×+-commutative sub-neg associate-/l* associate-/l/
Counts
4 → 6
Calls
4 calls:
Slowest
9.0ms
(/.p16 (-.p16 (*.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a)))) (*.p16 b_2 b_2)) (+.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) b_2))
6.0ms
(-.p16 (*.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a)))) (*.p16 b_2 b_2))
5.0ms
(+.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) b_2)
0.0ms
(sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a)))

series0.0ms

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

simplify2.8s

Counts
10 → 10

prune226.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 1.3b

localize252.0ms

Local error

Found 4 expressions with local error:

1.1b
(+.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) b_2)
1.1b
(+.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) b_2)
1.1b
(-.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) b_2)
0.6b
(/.p16 (*.p16 (+.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) b_2) (-.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) b_2)) (+.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) b_2))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
2×+-commutative p16-flip--
1×sub-neg associate-*r/ associate-/l* associate-/l/
Counts
4 → 6
Calls
4 calls:
Slowest
9.0ms
(/.p16 (*.p16 (+.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) b_2) (-.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) b_2)) (+.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) b_2))
7.0ms
(+.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) b_2)
5.0ms
(+.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) b_2)
3.0ms
(-.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) b_2)

series0.0ms

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

simplify781.0ms

Counts
10 → 10

prune176.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 1.3b

localize255.0ms

Local error

Found 4 expressions with local error:

1.1b
(+.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) b_2)
1.1b
(+.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) b_2)
1.1b
(-.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) b_2)
0.8b
(/.p16 (+.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) b_2) (/.p16 (+.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) b_2) (-.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) b_2)))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
2×+-commutative p16-flip-- associate-/r/
1×associate-/r* sub-neg
Counts
4 → 6
Calls
4 calls:
Slowest
5.0ms
(/.p16 (+.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) b_2) (/.p16 (+.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) b_2) (-.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) b_2)))
3.0ms
(+.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) b_2)
2.0ms
(+.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) b_2)
2.0ms
(-.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) b_2)

series0.0ms

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

simplify1.9s

Counts
10 → 10

prune138.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.5b

regimes362.0ms

Accuracy

91.8% (0.1b remaining)

Error of 0.5b against oracle of 0.4b and baseline of 1.7b

bsearch9.0ms

end0.0ms

sample3.2s

Algorithm
halfpoints
Results