2atan (example 3.5)

Time bar (total: 1.4s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze2.0ms (0.1%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%8.1%91.9%0%0%0%0
0%0%8.1%91.9%0%0%0%1
50%4.1%4.1%91.9%0%0%0%2
75%6.1%2%91.9%0%0%0%3
87.5%7.1%1%91.9%0%0%0%4
93.8%7.6%0.5%91.9%0%0%0%5
96.9%7.9%0.3%91.9%0%0%0%6
98.4%8%0.1%91.9%0%0%0%7
99.2%8%0.1%91.9%0%0%0%8
99.6%8.1%0%91.9%0%0%0%9
99.8%8.1%0%91.9%0%0%0%10
99.9%8.1%0%91.9%0%0%0%11
100%8.1%0%91.9%0%0%0%12
Compiler

Compiled 15 to 11 computations (26.7% saved)

sample44.0ms (3.2%)

Memory
-6.7MiB live, 11.0MiB allocated
Samples
31.0ms230×1valid
3.0ms19×2valid
1.0ms11×0valid
Precisions
Click to see histograms. Total time spent on operations: 29.0ms
adjust: 9.0ms (30.9% of total)
ival-atan: 9.0ms (30.9% of total)
ival-add: 4.0ms (13.7% of total)
const: 3.0ms (10.3% of total)
ival-sub: 2.0ms (6.9% of total)
ival->: 1.0ms (3.4% of total)
ival-<: 1.0ms (3.4% of total)
ival-assert: 0.0ms (0% of total)
ival-and: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
Bogosity

explain1.3s (93.9%)

Memory
4.0MiB live, 511.5MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2541(43.67468125554211)1(5.909659775490722)(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
00-0-N
00-0-(+.f64 N #s(literal 1 binary64))
00-0-#s(literal 1 binary64)
00-0-(atan.f64 N)
00-0-(atan.f64 (+.f64 N #s(literal 1 binary64)))
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))cancellation2541
Confusion
Predicted +Predicted -
+2531
-11
Precision
0.9960629921259843
Recall
0.9960629921259843
Confusion?
Predicted +Predicted MaybePredicted -
+25310
-101
Precision?
0.996078431372549
Recall?
1.0
Freqs
test
numberfreq
02
1254
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Total Time
34.298828125
Average Time
0.13397979736328125
Samples
659.0ms5 448×1valid
81.0ms456×2valid
12.0ms240×0valid
Compiler

Compiled 780 to 336 computations (56.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 556.0ms
adjust: 222.0ms (40% of total)
ival-atan: 220.0ms (39.6% of total)
ival-add: 52.0ms (9.4% of total)
ival-sub: 50.0ms (9% of total)
ival-true: 5.0ms (0.9% of total)
exact: 4.0ms (0.7% of total)
ival-assert: 2.0ms (0.4% of total)

preprocess15.0ms (1.1%)

Memory
5.4MiB live, 5.4MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0819
11817
24116
37316
412116
517816
620116
721216
067
0107
1157
2197
3257
4337
5487
6807
71067
81507
91657
101737
01737
Stop Event
1×iter limit
1×saturated
1×iter limit
1×saturated
Calls
Call 1
Inputs
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
Outputs
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))
Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune1.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
9.6%
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
Compiler

Compiled 14 to 12 computations (14.3% saved)

simplify20.0ms (1.5%)

Memory
-5.6MiB live, 18.1MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1127
2167
3187
4197
Stop Event
1×saturated
Calls
Call 1
Inputs
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
Outputs
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))

soundness0.0ms (0%)

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

Compiled 7 to 6 computations (14.3% saved)

preprocess1.0ms (0.1%)

Memory
0.7MiB live, 0.7MiB allocated
Compiler

Compiled 44 to 34 computations (22.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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