bug329 (missed optimization)

Time bar (total: 1.1s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze8.0ms (0.7%)

Memory
15.5MiB live, 15.5MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%50%50%0%0%0%0
0%0%50%50%0%0%0%1
50%25%25%50%0%0%0%2
50%25%25%50%0%0%0%3
75%37.5%12.5%50%0%0%0%4
75%37.5%12.5%50%0%0%0%5
87.5%43.7%6.2%50%0%0%0%6
87.5%43.7%6.2%50%0%0%0%7
93.8%46.8%3.1%50%0%0%0%8
93.8%46.8%3.1%50%0%0%0%9
96.9%48.4%1.6%50%0%0%0%10
96.9%48.4%1.6%50%0%0%0%11
98.4%49.2%0.8%50%0%0%0%12
Compiler

Compiled 8 to 7 computations (12.5% saved)

sample779.0ms (69.2%)

Memory
-22.9MiB live, 796.7MiB allocated
Samples
424.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 182.0ms
ival-div: 75.0ms (41.2% of total)
ival->=: 50.0ms (27.5% of total)
ival-atan: 46.0ms (25.3% of total)
exact: 8.0ms (4.4% of total)
ival-assert: 4.0ms (2.2% of total)
Bogosity

explain81.0ms (7.2%)

Memory
-17.9MiB live, 66.0MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(/.f64 y x)
00-0-y
00-0-(atan.f64 (/.f64 y x))
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
37.0ms512×0valid
Compiler

Compiled 26 to 16 computations (38.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-div: 4.0ms (51.1% of total)
ival-atan: 3.0ms (38.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess13.0ms (1.1%)

Memory
10.0MiB live, 10.0MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01226
12426
23626
34626
45426
56826
68826
79826
810026
044
064
064
Stop Event
1×iter limit
1×saturated
1×iter limit
1×saturated
Calls
Call 1
Inputs
(atan.f64 (/.f64 y x))
Outputs
(atan.f64 (/.f64 y x))
Compiler

Compiled 4 to 4 computations (0% saved)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(atan.f64 (/.f64 y x))
Compiler

Compiled 4 to 4 computations (0% saved)

simplify2.0ms (0.2%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 y x)
cost-diff0
(atan.f64 (/.f64 y x))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049
069
069
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(atan.f64 (/.f64 y x))
(/.f64 y x)
y
x
Outputs
(atan.f64 (/.f64 y x))
(/.f64 y x)
y
x

localize14.0ms (1.2%)

Memory
9.7MiB live, 9.7MiB allocated
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
accuracy0
(/.f64 y x)
accuracy0
(atan.f64 (/.f64 y x))
Samples
9.0ms256×0valid
Compiler

Compiled 11 to 6 computations (45.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-div: 2.0ms (54.1% of total)
ival-atan: 1.0ms (27% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series4.0ms (0.4%)

Memory
3.0MiB live, 3.0MiB allocated
Counts
2 → 48
Calls
Call 1
Inputs
#s(alt (atan.f64 (/.f64 y x)) (patch (atan.f64 (/.f64 y x)) #<representation binary64>) () ())
#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())
Outputs
#s(alt (atan (/ y x)) (taylor 0 y) (#s(alt (atan.f64 (/.f64 y x)) (patch (atan.f64 (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (atan (/ y x)) (taylor 0 y) (#s(alt (atan.f64 (/.f64 y x)) (patch (atan.f64 (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (atan (/ y x)) (taylor 0 y) (#s(alt (atan.f64 (/.f64 y x)) (patch (atan.f64 (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (atan (/ y x)) (taylor 0 y) (#s(alt (atan.f64 (/.f64 y x)) (patch (atan.f64 (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor 0 y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor 0 y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor 0 y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor 0 y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (atan (/ y x)) (taylor inf y) (#s(alt (atan.f64 (/.f64 y x)) (patch (atan.f64 (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (atan (/ y x)) (taylor inf y) (#s(alt (atan.f64 (/.f64 y x)) (patch (atan.f64 (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (atan (/ y x)) (taylor inf y) (#s(alt (atan.f64 (/.f64 y x)) (patch (atan.f64 (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (atan (/ y x)) (taylor inf y) (#s(alt (atan.f64 (/.f64 y x)) (patch (atan.f64 (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor inf y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor inf y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor inf y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor inf y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (atan (/ y x)) (taylor -inf y) (#s(alt (atan.f64 (/.f64 y x)) (patch (atan.f64 (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (atan (/ y x)) (taylor -inf y) (#s(alt (atan.f64 (/.f64 y x)) (patch (atan.f64 (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (atan (/ y x)) (taylor -inf y) (#s(alt (atan.f64 (/.f64 y x)) (patch (atan.f64 (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (atan (/ y x)) (taylor -inf y) (#s(alt (atan.f64 (/.f64 y x)) (patch (atan.f64 (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor -inf y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor -inf y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor -inf y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor -inf y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (atan (/ y x)) (taylor 0 x) (#s(alt (atan.f64 (/.f64 y x)) (patch (atan.f64 (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (atan (/ y x)) (taylor 0 x) (#s(alt (atan.f64 (/.f64 y x)) (patch (atan.f64 (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (atan (/ y x)) (taylor 0 x) (#s(alt (atan.f64 (/.f64 y x)) (patch (atan.f64 (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (atan (/ y x)) (taylor 0 x) (#s(alt (atan.f64 (/.f64 y x)) (patch (atan.f64 (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor 0 x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor 0 x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor 0 x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor 0 x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (atan (/ y x)) (taylor inf x) (#s(alt (atan.f64 (/.f64 y x)) (patch (atan.f64 (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (atan (/ y x)) (taylor inf x) (#s(alt (atan.f64 (/.f64 y x)) (patch (atan.f64 (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (atan (/ y x)) (taylor inf x) (#s(alt (atan.f64 (/.f64 y x)) (patch (atan.f64 (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (atan (/ y x)) (taylor inf x) (#s(alt (atan.f64 (/.f64 y x)) (patch (atan.f64 (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (atan (/ y x)) (taylor -inf x) (#s(alt (atan.f64 (/.f64 y x)) (patch (atan.f64 (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (atan (/ y x)) (taylor -inf x) (#s(alt (atan.f64 (/.f64 y x)) (patch (atan.f64 (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (atan (/ y x)) (taylor -inf x) (#s(alt (atan.f64 (/.f64 y x)) (patch (atan.f64 (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (atan (/ y x)) (taylor -inf x) (#s(alt (atan.f64 (/.f64 y x)) (patch (atan.f64 (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor -inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor -inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor -inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor -inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
1.0ms
y
@-inf
((atan (/ y x)) (/ y x))
1.0ms
x
@inf
((atan (/ y x)) (/ y x))
1.0ms
y
@inf
((atan (/ y x)) (/ y x))
0.0ms
x
@-inf
((atan (/ y x)) (/ y x))
0.0ms
y
@0
((atan (/ y x)) (/ y x))

simplify3.0ms (0.2%)

Memory
1.8MiB live, 1.8MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04168
04168
Stop Event
1×iter limit
1×saturated
Counts
48 → 48
Calls
Call 1
Inputs
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(/ y x)
(/ y x)
(/ y x)
(/ y x)
Outputs
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)

rewrite84.0ms (7.4%)

Memory
-2.6MiB live, 35.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047
067
1147
2497
32247
012187
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
2 → 62
Calls
Call 1
Inputs
(atan.f64 (/.f64 y x))
(/.f64 y x)
Outputs
#<batchref>
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#<batchref>
#<batchref>
#<batchref>

eval38.0ms (3.4%)

Memory
-25.3MiB live, 12.8MiB allocated
Compiler

Compiled 850 to 199 computations (76.6% saved)

prune5.0ms (0.4%)

Memory
6.4MiB live, 6.4MiB allocated
Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New1100110
Fresh000
Picked011
Done000
Total1101111
Accuracy
100.0%
Counts
111 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(atan.f64 (/.f64 y x))
Compiler

Compiled 8 to 8 computations (0% saved)

simplify20.0ms (1.8%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
044
Stop Event
1×saturated
Calls
Call 1
Inputs
(atan.f64 (/.f64 y x))
Outputs
(atan.f64 (/.f64 y x))

soundness0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Stop Event
1×done
Compiler

Compiled 4 to 4 computations (0% saved)

preprocess75.0ms (6.7%)

Memory
0.5MiB live, 43.6MiB allocated
Compiler

Compiled 22 to 22 computations (0% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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