Logarithmic Transform

Time bar (total: 1.9s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze152.0ms (8%)

Memory
6.0MiB live, 46.4MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%99.9%0.1%0%0%0%4
0%0%99.9%0.1%0%0%0%5
12.5%12.5%87.4%0.1%0%0%0%6
28.6%25%62.4%0.1%0%12.5%0%7
28.6%25%62.4%0.1%0%12.5%0%8
39.3%34.3%53%0.1%0%12.5%0%9
52.7%45.2%40.6%0.1%0%14%0%10
52.7%45.2%40.6%0.1%0%14%0%11
56%47.6%37.4%0.1%0%14.8%0%12
Compiler

Compiled 14 to 12 computations (14.3% saved)

sample70.0ms (3.7%)

Memory
-0.1MiB live, 15.0MiB allocated
Samples
36.0ms153×1valid
8.0ms107×0valid
6.0ms20×1invalid
5.0ms44×1exit
2.0ms18×0invalid
Precisions
Click to see histograms. Total time spent on operations: 46.0ms
ival-pow: 20.0ms (43.4% of total)
ival-e: 9.0ms (19.5% of total)
ival-mult: 6.0ms (13% of total)
adjust: 4.0ms (8.7% of total)
ival-log1p: 4.0ms (8.7% of total)
ival-sub: 3.0ms (6.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
Bogosity

explain1.5s (80.4%)

Memory
8.8MiB live, 819.0MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1800-1(5.2631501849284145e+277 -0.015518404621788637 8.268714792416411e-165)(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))
15853(-2.2813783093724886e-163 5.739161841837446e-76 -6.283444583325622e-280)39(-2.7502603428412556e-83 -2.2629618286166987e+89 4.4279051667132745e-83)(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))
300-30(1.0984474866757772e+290 -1.015194979448082e-239 8.036320858418766e-273)(*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))
032(-2.2268281827996842e+283 -5.444174553446148e+241 1.3958201333966397e-301)0-(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))
00-0-(pow.f64 (E.f64) x)
00-0-#s(literal 1 binary64)
00-0-c
00-0-y
00-0-x
00-0-(E.f64)
00-0-(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
log.f64(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))sensitivity1710
+.f64(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))cancellation320
-.f64(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))cancellation280
log.f64(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))oflow-rescue10
↳(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)overflow1
↳(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))overflow1
↳(pow.f64 (E.f64) x)overflow1
↳(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))overflow1
Confusion
Predicted +Predicted -
+1632
-6328
Precision
0.7212389380530974
Recall
0.9878787878787879
Confusion?
Predicted +Predicted MaybePredicted -
+16302
-63028
Precision?
0.7212389380530974
Recall?
0.9878787878787879
2:
4:
8:
16:
32:
64:
128:
256:
512:
1024:
2048:
Freqs
test
numberfreq
030
1220
26
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Total Time
7.0673828125
Average Time
0.027606964111328125
Samples
537.0ms2 112×1valid
87.0ms960×0valid
Compiler

Compiled 2 004 to 552 computations (72.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 481.0ms
ival-pow: 201.0ms (41.8% of total)
ival-e: 87.0ms (18.1% of total)
ival-mult: 55.0ms (11.4% of total)
adjust: 48.0ms (10% of total)
ival-log1p: 37.0ms (7.7% of total)
ival-sub: 26.0ms (5.4% of total)
ival-add: 23.0ms (4.8% of total)
ival-true: 2.0ms (0.4% of total)
exact: 2.0ms (0.4% of total)
ival-assert: 1.0ms (0.2% of total)

preprocess114.0ms (6%)

Memory
0.7MiB live, 8.0MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043117
195113
2175113
3458113
4951113
51526113
62352113
72728113
82934113
93003113
103053113
113080113
123111113
133116113
143119113
153121113
01112
01812
12712
23412
34612
45512
56912
610012
715412
827812
940312
1048512
1150012
1250412
050410
Stop Event
1×iter limit
1×saturated
1×iter limit
1×saturated
Calls
Call 1
Inputs
(*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))
Outputs
(*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))
(*.f64 (log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c)
Symmetry

(negabs c)

Compiler

Compiled 12 to 11 computations (8.3% saved)

eval0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune8.0ms (0.4%)

Memory
-7.2MiB live, 0.5MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
39.8%
(*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))
Compiler

Compiled 24 to 22 computations (8.3% saved)

simplify21.0ms (1.1%)

Memory
-1.6MiB live, 18.0MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01112
12012
22412
32712
43012
53312
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))
Outputs
(*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))
(*.f64 (log.f64 (+.f64 (*.f64 y (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))) #s(literal 1 binary64))) c)

soundness0.0ms (0%)

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

Compiled 12 to 11 computations (8.3% saved)

preprocess6.0ms (0.3%)

Memory
2.8MiB live, 2.8MiB allocated
Remove

(negabs c)

Compiler

Compiled 110 to 102 computations (7.3% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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