sqrtexp (problem 3.4.4)

Time bar (total: 1.2s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze1.0ms (0.1%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
50%50%50%0%0%0%0%2
75%75%25%0%0%0%0%3
87.5%87.5%12.5%0%0%0%0%4
93.8%93.7%6.2%0%0%0%0%5
96.9%96.8%3.1%0%0%0%0%6
98.4%98.4%1.6%0%0%0%0%7
99.2%99.2%0.8%0%0%0%0%8
99.6%99.6%0.4%0%0%0%0%9
99.8%99.8%0.2%0%0%0%0%10
99.9%99.9%0.1%0%0%0%0%11
100%99.9%0%0%0%0%0%12
Compiler

Compiled 14 to 9 computations (35.7% saved)

sample25.0ms (2.2%)

Memory
0.8MiB live, 9.6MiB allocated
Samples
12.0ms260×0valid
4.0ms80×0exit
Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-expm1: 3.0ms (29.5% of total)
ival-div: 2.0ms (19.6% of total)
ival-mult: 2.0ms (19.6% of total)
ival-sqrt: 2.0ms (19.6% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
Bogosity

explain916.0ms (78.8%)

Memory
9.6MiB live, 722.7MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1620-0-(-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64))
1620-0-(-.f64 (exp.f64 x) #s(literal 1 binary64))
10-0-(/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
02(-58.17060518826356)0-(exp.f64 (*.f64 #s(literal 2 binary64) x))
00-0-#s(literal 1 binary64)
00-0-(*.f64 #s(literal 2 binary64) x)
00-0-(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))))
00-0-#s(literal 2 binary64)
00-0-(exp.f64 x)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 (exp.f64 x) #s(literal 1 binary64))cancellation1620
-.f64(-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64))cancellation1620
exp.f64(exp.f64 (*.f64 #s(literal 2 binary64) x))sensitivity20
/.f64(/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64)))o/o10
(exp.f64 (*.f64 #s(literal 2 binary64) x))overflow1
(-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64))overflow1
(exp.f64 x)overflow1
(-.f64 (exp.f64 x) #s(literal 1 binary64))overflow1
Confusion
Predicted +Predicted -
+1630
-291
Precision
0.9878787878787879
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+16300
-2091
Precision?
0.9878787878787879
Recall?
1.0
2:
4:
8:
16:
32:
64:
128:
256:
512:
1024:
2048:
Freqs
test
numberfreq
091
13
2162
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Total Time
7.5302734375
Average Time
0.029415130615234375
Samples
205.0ms3 072×0valid
Compiler

Compiled 1 788 to 504 computations (71.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 131.0ms
ival-exp: 36.0ms (27.5% of total)
ival-expm1: 32.0ms (24.4% of total)
ival-mult: 21.0ms (16% of total)
ival-div: 19.0ms (14.5% of total)
ival-sqrt: 17.0ms (13% of total)
exact: 3.0ms (2.3% of total)
ival-true: 2.0ms (1.5% of total)
adjust: 1.0ms (0.8% of total)
ival-assert: 1.0ms (0.8% of total)

preprocess199.0ms (17.1%)

Memory
-0.1MiB live, 42.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
01229
13227
25527
38927
414313
525013
651313
7203913
8713613
01012
01712
12912
23512
34712
4737
51265
62035
76065
829265
967835
081975
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))))
Outputs
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))))
(sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))
Compiler

Compiled 12 to 10 computations (16.7% saved)

eval0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune1.0ms (0.1%)

Memory
0.4MiB live, 0.4MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
38.3%
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))))
Compiler

Compiled 24 to 20 computations (16.7% saved)

simplify19.0ms (1.6%)

Memory
-6.0MiB live, 17.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01012
11712
22212
32512
42812
53212
Stop Event
saturated
Calls
Call 1
Inputs
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))))
Outputs
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))))

soundness0.0ms (0%)

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

Compiled 12 to 10 computations (16.7% saved)

preprocess1.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 48 to 40 computations (16.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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