Quadratic roots, narrow range

Time bar (total: 2.0s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze239.0ms (12.1%)

Memory
-0.6MiB live, 87.4MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%0%100%0%0%0%0
0%0%0%100%0%0%0%1
0%0%0%100%0%0%0%2
0%0%0%100%0%0%0%3
0%0%0%100%0%0%0%4
0%0%0%100%0%0%0%5
0%0%0%100%0%0%0%6
0%0%0%100%0%0%0%7
2.3%0%0%100%0%0%0%8
11.3%0%0%100%0%0%0%9
21.1%0%0%100%0%0%0%10
28%0%0%100%0%0%0%11
40.1%0%0%100%0%0%0%12
Compiler

Compiled 41 to 28 computations (31.7% saved)

sample53.0ms (2.7%)

Memory
5.1MiB live, 20.6MiB allocated
Samples
21.0ms184×0valid
13.0ms76×1valid
6.0ms48×0invalid
Precisions
Click to see histograms. Total time spent on operations: 32.0ms
const: 8.0ms (25.1% of total)
ival-mult: 7.0ms (21.9% of total)
ival-sqrt: 3.0ms (9.4% of total)
ival-<: 3.0ms (9.4% of total)
ival-div: 2.0ms (6.3% of total)
adjust: 2.0ms (6.3% of total)
ival-sub: 2.0ms (6.3% of total)
ival-add: 2.0ms (6.3% of total)
ival-and: 1.0ms (3.1% of total)
ival-neg: 1.0ms (3.1% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
Bogosity

explain1.6s (78.1%)

Memory
6.5MiB live, 962.5MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2280-5(237881.88395318604 1.0474266757992565 4.378808444700047e-8)(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))
00-0-a
00-0-#s(literal 4 binary64)
00-0-(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))
00-0-(*.f64 (*.f64 #s(literal 4 binary64) a) c)
00-0-(*.f64 b b)
00-0-(*.f64 #s(literal 2 binary64) a)
00-0-c
00-0-#s(literal 2 binary64)
00-0-(neg.f64 b)
00-0-(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))
00-0-(*.f64 #s(literal 4 binary64) a)
00-0-b
00-0-(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
+.f64(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))cancellation2238
Confusion
Predicted +Predicted -
+2233
-030
Precision
1.0
Recall
0.9867256637168141
Confusion?
Predicted +Predicted MaybePredicted -
+22330
-0525
Precision?
0.9783549783549783
Recall?
1.0
Freqs
test
numberfreq
033
1223
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Total Time
27.55322265625
Average Time
0.10762977600097656
Samples
342.0ms4 272×0valid
269.0ms1 872×1valid
Compiler

Compiled 2 772 to 720 computations (74% saved)

Precisions
Click to see histograms. Total time spent on operations: 374.0ms
ival-mult: 135.0ms (36.1% of total)
ival-sqrt: 51.0ms (13.6% of total)
ival-div: 49.0ms (13.1% of total)
ival-sub: 35.0ms (9.4% of total)
ival-add: 34.0ms (9.1% of total)
adjust: 33.0ms (8.8% of total)
ival-neg: 25.0ms (6.7% of total)
exact: 5.0ms (1.3% of total)
ival-true: 4.0ms (1.1% of total)
ival-assert: 2.0ms (0.5% of total)

preprocess118.0ms (5.9%)

Memory
-5.0MiB live, 10.2MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
054158
1162144
2463144
31233144
43210144
56057144
01417
02317
14016
27716
316016
424016
538116
666216
7112916
8224316
9251916
10262916
11268416
12268516
13268516
14269116
0269115
Stop Event
1×iter limit
1×saturated
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))
Outputs
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))
Compiler

Compiled 17 to 14 computations (17.6% saved)

eval0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune1.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
55.8%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))
Compiler

Compiled 34 to 28 computations (17.6% saved)

simplify22.0ms (1.1%)

Memory
0.7MiB live, 18.2MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01417
12716
24616
35716
46516
56816
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))
Outputs
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal 4 binary64))))) b) (*.f64 #s(literal 2 binary64) a))

soundness0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Stop Event
1×fuel
Compiler

Compiled 16 to 13 computations (18.8% saved)

preprocess1.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 66 to 54 computations (18.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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