2atan (example 3.5)

Time bar (total: 1.2s)

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)

sample40.0ms (3.2%)

Memory
-4.7MiB live, 10.8MiB allocated
Samples
29.0ms243×1valid
1.0ms7×2valid
1.0ms10×0valid
Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-atan: 9.0ms (35.9% of total)
adjust: 6.0ms (23.9% of total)
ival-sub: 3.0ms (12% of total)
const: 3.0ms (12% of total)
ival-add: 2.0ms (8% of total)
ival->: 1.0ms (4% of total)
ival-<: 1.0ms (4% of total)
ival-assert: 0.0ms (0% of total)
ival-and: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
Bogosity

explain1.2s (93.7%)

Memory
10.2MiB live, 514.7MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2560-1(8.570646925985791)(-.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))cancellation2551
Confusion
Predicted +Predicted -
+2551
-00
Precision
1.0
Recall
0.99609375
Confusion?
Predicted +Predicted MaybePredicted -
+25510
-000
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
01
1255
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Total Time
29.971435546875
Average Time
0.11707592010498047
Samples
628.0ms5 736×1valid
26.0ms168×2valid
12.0ms240×0valid
Compiler

Compiled 780 to 336 computations (56.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 469.0ms
ival-atan: 213.0ms (45.4% of total)
adjust: 134.0ms (28.6% of total)
ival-add: 57.0ms (12.2% of total)
ival-sub: 54.0ms (11.5% of total)
ival-true: 5.0ms (1.1% of total)
exact: 4.0ms (0.9% of total)
ival-assert: 2.0ms (0.4% of total)

preprocess16.0ms (1.2%)

Memory
-2.3MiB 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 (0.1%)

Memory
0.5MiB live, 0.5MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
7.7%
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
Compiler

Compiled 14 to 12 computations (14.3% saved)

simplify19.0ms (1.5%)

Memory
0.2MiB live, 18.0MiB 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

Loading profile data...