2isqrt (example 3.6)

Time bar (total: 1.1s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze2.0ms (0.2%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%25%75%0%0%0%0
0%0%25%75%0%0%0%1
50%12.5%12.5%75%0%0%0%2
75%18.7%6.2%75%0%0%0%3
87.5%21.9%3.1%75%0%0%0%4
93.8%23.4%1.6%75%0%0%0%5
96.9%24.2%0.8%75%0%0%0%6
98.4%24.6%0.4%75%0%0%0%7
99.2%24.8%0.2%75%0%0%0%8
99.6%24.9%0.1%75%0%0%0%9
99.8%24.9%0%75%0%0%0%10
99.9%25%0%75%0%0%0%11
100%25%0%75%0%0%0%12
Compiler

Compiled 19 to 13 computations (31.6% saved)

sample47.0ms (4.2%)

Memory
6.0MiB live, 14.6MiB allocated
Samples
26.0ms198×1valid
11.0ms57×2valid
0.0ms5×0valid
Precisions
Click to see histograms. Total time spent on operations: 31.0ms
ival-div: 7.0ms (22.7% of total)
adjust: 7.0ms (22.7% of total)
ival-sqrt: 7.0ms (22.7% of total)
const: 4.0ms (13% of total)
ival-sub: 2.0ms (6.5% of total)
ival-add: 2.0ms (6.5% of total)
ival->: 1.0ms (3.2% of total)
ival-<: 1.0ms (3.2% of total)
ival-assert: 0.0ms (0% of total)
ival-and: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
Bogosity

explain1.0s (91.5%)

Memory
0.9MiB live, 658.2MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
18769(1.3529068533171795e+302)0-(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
00-0-(+.f64 x #s(literal 1 binary64))
00-0-(sqrt.f64 x)
00-0-(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
00-0-(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
00-0-#s(literal 1 binary64)
00-0-(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))cancellation2560
Confusion
Predicted +Predicted -
+1870
-690
Precision
0.73046875
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+18700
-6900
Precision?
0.73046875
Recall?
1.0
Freqs
test
numberfreq
1256
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Total Time
5.61962890625
Average Time
0.021951675415039063
Samples
287.0ms2 340×1valid
125.0ms672×2valid
3.0ms60×0valid
Compiler

Compiled 1 308 to 408 computations (68.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 303.0ms
ival-sqrt: 87.0ms (28.7% of total)
adjust: 83.0ms (27.4% of total)
ival-div: 77.0ms (25.4% of total)
ival-add: 26.0ms (8.6% of total)
ival-sub: 25.0ms (8.3% of total)
ival-true: 2.0ms (0.7% of total)
exact: 2.0ms (0.7% of total)
ival-assert: 1.0ms (0.3% of total)

preprocess18.0ms (1.7%)

Memory
5.6MiB live, 5.6MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01027
12025
24724
38924
414424
520924
624524
727224
828124
0811
01411
11911
22711
33611
44811
56811
610711
713911
819511
922411
1024511
1124711
024711
Stop Event
1×iter limit
1×saturated
1×iter limit
1×saturated
Calls
Call 1
Inputs
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
Outputs
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))
Compiler

Compiled 11 to 8 computations (27.3% saved)

eval0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune1.0ms (0.1%)

Memory
0.5MiB live, 0.5MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
35.4%
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
Compiler

Compiled 22 to 16 computations (27.3% saved)

simplify24.0ms (2.2%)

Memory
-5.5MiB live, 18.1MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0811
11411
22211
32811
43511
54711
66311
Stop Event
1×saturated
Calls
Call 1
Inputs
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
Outputs
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))

soundness0.0ms (0%)

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

Compiled 11 to 8 computations (27.3% saved)

preprocess1.0ms (0.1%)

Memory
0.8MiB live, 0.8MiB allocated
Compiler

Compiled 62 to 46 computations (25.8% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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