Quadratic roots, medium range

Time bar (total: 7.1s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze188.0ms (2.7%)

Memory
-3.7MiB live, 68.1MiB 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
6.8%0%0%100%0%0%0%7
15.9%0%0%100%0%0%0%8
23.1%0%0%100%0%0%0%9
36.5%0%0%100%0%0%0%10
45.4%0%0%100%0%0%0%11
52.3%0%0%100%0%0%0%12
Compiler

Compiled 41 to 28 computations (31.7% saved)

sample55.0ms (0.8%)

Memory
5.7MiB live, 20.6MiB allocated
Samples
28.0ms165×1valid
10.0ms95×0valid
3.0ms31×0invalid
Precisions
Click to see histograms. Total time spent on operations: 32.0ms
ival-mult: 7.0ms (21.6% of total)
const: 5.0ms (15.4% of total)
adjust: 4.0ms (12.3% of total)
ival-div: 3.0ms (9.2% of total)
ival-sqrt: 3.0ms (9.2% of total)
ival-<: 3.0ms (9.2% of total)
ival-sub: 2.0ms (6.2% of total)
ival-add: 2.0ms (6.2% 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

explain6.7s (94.5%)

Memory
52.4MiB live, 3 789.9MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2400-2(0.0008950541692180414 0.0038887619080109274 6.811583390025199e-5)(+.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))))cancellation2383
Confusion
Predicted +Predicted -
+2374
-114
Precision
0.9957983193277311
Recall
0.983402489626556
Confusion?
Predicted +Predicted MaybePredicted -
+23722
-1113
Precision?
0.991701244813278
Recall?
0.991701244813278
Freqs
test
numberfreq
018
1238
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Total Time
34.256103515625
Average Time
0.13381290435791016
Samples
2.2s14 490×1valid
713.0ms8 550×0valid
Compiler

Compiled 10 395 to 2 700 computations (74% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.8s
ival-mult: 565.0ms (31.2% of total)
ival-sqrt: 260.0ms (14.4% of total)
adjust: 256.0ms (14.1% of total)
ival-div: 233.0ms (12.9% of total)
ival-sub: 181.0ms (10% of total)
ival-add: 168.0ms (9.3% of total)
ival-neg: 100.0ms (5.5% of total)
exact: 22.0ms (1.2% of total)
ival-true: 18.0ms (1% of total)
ival-assert: 8.0ms (0.4% of total)

preprocess121.0ms (1.7%)

Memory
-7.9MiB 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
0.1MiB live, 0.1MiB 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
32.1%
(/.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)

simplify20.0ms (0.3%)

Memory
2.3MiB 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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