Details

Time bar (total: 10.7s)

sample247.0ms

Algorithm
halfpoints
Results

simplify258.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
257.0ms
(/.p16 (-.p16 (neg.p16 b_2) (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 a c)))) a)

prune26.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.9b

localize149.0ms

Local error

Found 4 expressions with local error:

1.2b
(-.p16 (neg.p16 b_2) (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 a c))))
0.3b
(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))

rewrite10.0ms

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

series0.0ms

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
5 → 9
Calls
5 calls:
Slowest
478.0ms
(-.p16 (*.p16 (neg.p16 b_2) (neg.p16 b_2)) (*.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 a c))) (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 a c)))))
238.0ms
(/.p16 (-.p16 (neg.p16 b_2) (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 a c)))) a)
236.0ms
(/.p16 (-.p16 (neg.p16 b_2) (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 a c)))) a)
179.0ms
(/.p16 (-.p16 (neg.p16 b_2) (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 a c)))) a)
160.0ms
(/.p16 (-.p16 (neg.p16 b_2) (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 a c)))) a)

prune273.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.4b

localize291.0ms

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))))
0.7b
(/.p16 (+.p16 (*.p16 a c) (*.p16 (+.p16 (neg.p16 b_2) b_2) (+.p16 (neg.p16 b_2) (neg.p16 b_2)))) (*.p16 a (+.p16 (neg.p16 b_2) (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 a c))))))
0.3b
(sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 a c)))
0.3b
(-.p16 (*.p16 b_2 b_2) (*.p16 a c))

rewrite17.0ms

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

series0.0ms

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
(/.p16 (+.p16 (*.p16 a c) (*.p16 (+.p16 (neg.p16 b_2) b_2) (+.p16 (neg.p16 b_2) (neg.p16 b_2)))) (*.p16 a (+.p16 (neg.p16 b_2) (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 a c))))))
0.0ms
(-.p16 (*.p16 b_2 b_2) (*.p16 a c))
0.0ms
(sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 a c)))

simplify1.3s

Counts
5 → 8
Calls
5 calls:
Slowest
323.0ms
(/.p16 (+.p16 (*.p16 a c) (*.p16 (+.p16 (neg.p16 b_2) b_2) (+.p16 (neg.p16 b_2) (neg.p16 b_2)))) (*.p16 a (+.p16 (neg.p16 b_2) (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 a c))))))
291.0ms
(/.p16 (+.p16 (*.p16 a c) (*.p16 (+.p16 (neg.p16 b_2) b_2) (+.p16 (neg.p16 b_2) (neg.p16 b_2)))) (*.p16 a (+.p16 (neg.p16 b_2) (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 a c))))))
280.0ms
(/.p16 (+.p16 (*.p16 a c) (*.p16 (+.p16 (neg.p16 b_2) b_2) (+.p16 (neg.p16 b_2) (neg.p16 b_2)))) (*.p16 a (+.p16 (neg.p16 b_2) (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 a c))))))
265.0ms
(/.p16 (+.p16 (*.p16 a c) (*.p16 (+.p16 (neg.p16 b_2) b_2) (+.p16 (neg.p16 b_2) (neg.p16 b_2)))) (*.p16 a (+.p16 (neg.p16 b_2) (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 a c))))))
98.0ms
(+.p16 (neg.p16 b_2) (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 a c))))

prune234.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.3b

localize237.0ms

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))))
0.5b
(/.p16 (+.p16 (*.p16 a c) (*.p16 (+.p16 (neg.p16 b_2) b_2) (+.p16 (neg.p16 b_2) (neg.p16 b_2)))) a)
0.3b
(sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 a c)))
0.3b
(/.p16 (/.p16 (+.p16 (*.p16 a c) (*.p16 (+.p16 (neg.p16 b_2) b_2) (+.p16 (neg.p16 b_2) (neg.p16 b_2)))) a) (+.p16 (neg.p16 b_2) (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 a c)))))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
1×+-commutative associate-/l/
Counts
4 → 2
Calls
4 calls:
Slowest
3.0ms
(/.p16 (/.p16 (+.p16 (*.p16 a c) (*.p16 (+.p16 (neg.p16 b_2) b_2) (+.p16 (neg.p16 b_2) (neg.p16 b_2)))) a) (+.p16 (neg.p16 b_2) (sqrt.p16 (-.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))))
2.0ms
(/.p16 (+.p16 (*.p16 a c) (*.p16 (+.p16 (neg.p16 b_2) b_2) (+.p16 (neg.p16 b_2) (neg.p16 b_2)))) a)
0.0ms
(sqrt.p16 (-.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 b_2 b_2) (*.p16 a c))))
0.0ms
(/.p16 (/.p16 (+.p16 (*.p16 a c) (*.p16 (+.p16 (neg.p16 b_2) b_2) (+.p16 (neg.p16 b_2) (neg.p16 b_2)))) a) (+.p16 (neg.p16 b_2) (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 a c)))))
0.0ms
(/.p16 (+.p16 (*.p16 a c) (*.p16 (+.p16 (neg.p16 b_2) b_2) (+.p16 (neg.p16 b_2) (neg.p16 b_2)))) a)
0.0ms
(sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 a c)))

simplify414.0ms

Counts
5 → 6
Calls
5 calls:
Slowest
99.0ms
(+.p16 (*.p16 a c) (*.p16 (+.p16 (neg.p16 b_2) b_2) (+.p16 (neg.p16 b_2) (neg.p16 b_2))))
93.0ms
(+.p16 (neg.p16 b_2) (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 a c))))
75.0ms
(+.p16 (neg.p16 b_2) (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 a c))))
74.0ms
(+.p16 (neg.p16 b_2) (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 a c))))
72.0ms
(+.p16 (neg.p16 b_2) (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 a c))))

prune183.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.3b

localize379.0ms

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)))
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)))))
0.7b
(/.p16 (+.p16 (*.p16 a c) (*.p16 (+.p16 (neg.p16 b_2) b_2) (+.p16 (neg.p16 b_2) (neg.p16 b_2)))) (*.p16 a (+.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)))))))
0.3b
(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))))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
1×+-commutative associate-/r* p16-flip-- associate-/l* difference-of-squares associate-/l/
Counts
4 → 4
Calls
4 calls:
Slowest
12.0ms
(/.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)))
5.0ms
(+.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)))))
5.0ms
(/.p16 (+.p16 (*.p16 a c) (*.p16 (+.p16 (neg.p16 b_2) b_2) (+.p16 (neg.p16 b_2) (neg.p16 b_2)))) (*.p16 a (+.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))))

series1.0ms

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 (+.p16 (*.p16 a c) (*.p16 (+.p16 (neg.p16 b_2) b_2) (+.p16 (neg.p16 b_2) (neg.p16 b_2)))) (*.p16 a (+.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 (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)))))

simplify1.2s

Counts
3 → 8
Calls
3 calls:
Slowest
757.0ms
(-.p16 (*.p16 (*.p16 (*.p16 b_2 b_2) (*.p16 b_2 b_2)) (*.p16 (*.p16 b_2 b_2) (*.p16 b_2 b_2))) (*.p16 (*.p16 (*.p16 a c) (*.p16 a c)) (*.p16 (*.p16 a c) (*.p16 a c))))
470.0ms
(+.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)))))
7.0ms
(+.p16 (*.p16 b_2 b_2) (*.p16 a c))

prune251.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.3b

regimes747.0ms

Accuracy

-∞% (-63.6b remaining)

Error of 0.4b against oracle of 64.0b and baseline of 64.0b

bsearch6.0ms

end0.0ms

sample3.1s

Algorithm
halfpoints
Results