Henrywood and Agarwal, Equation (9a)

Time bar (total: 2.5s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze362.0ms (14.5%)

Memory
2.0MiB live, 151.3MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.7%0.3%0%0%0%0
0%0%99.7%0.3%0%0%0%1
0%0%99.7%0.3%0%0%0%2
0%0%99.7%0.3%0%0%0%3
0%0%99.7%0.3%0%0%0%4
0%0%99.7%0.3%0%0%0%5
0%0%99.7%0.3%0%0%0%6
12.5%12.5%87.2%0.3%0%0%0%7
12.5%12.5%87.2%0.3%0%0%0%8
12.5%12.5%87.2%0.3%0%0%0%9
12.5%12.5%87.2%0.3%0%0%0%10
12.5%12.5%87.2%0.3%0%0%0%11
18.8%18.7%81%0.3%0%0%0%12
Compiler

Compiled 20 to 19 computations (5% saved)

sample44.0ms (1.8%)

Memory
0.4MiB live, 15.9MiB allocated
Samples
23.0ms260×0valid
8.0ms91×0invalid
Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-mult: 9.0ms (44.1% of total)
ival-div: 4.0ms (19.6% of total)
ival-pow2: 3.0ms (14.7% of total)
ival-sqrt: 2.0ms (9.8% of total)
ival-sub: 1.0ms (4.9% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
Bogosity

explain1.9s (76.3%)

Memory
6.9MiB live, 1 097.1MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
500-1(-1.4763398354008342e-193 9.390658896253045e-267 1.0795297324335962e-22 -4.2767244503796175e+248 5.0255761479449704e-26 3.7058238068268256e-128)(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
210-1(-1.551037407572074e+94 7.870109576627698e-299 4.239032435090531e-13 -4.785835450414668e-74 8.380834602212782e-280 -2.1114210355534477e-172)(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
200-0-(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
40-0-(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
00-0-D
00-0-(*.f64 #s(literal 2 binary64) d)
00-0-(/.f64 h l)
00-0-(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
00-0-d
00-0-#s(literal 1 binary64)
00-0-(*.f64 M D)
00-0-w0
00-0-(-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))
00-0-#s(literal 2 binary64)
00-0-l
00-0-M
00-0-h
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
sqrt.f64(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))oflow-rescue200
↳(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))overflow44
↳(-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))overflow44
↳(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))overflow24
↳(*.f64 M D)overflow16
↳(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))overflow20
↳(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))overflow44
↳(/.f64 h l)overflow24
*.f64(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))n*o110
/.f64(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))o/n50
↳(*.f64 M D)overflow16
*.f64(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))n*o40
*.f64(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))o*u20
↳(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))overflow44
↳(*.f64 M D)overflow16
↳(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))overflow20
↳(/.f64 h l)underflow28
*.f64(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))u*o20
↳(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))underflow107
↳(*.f64 M D)underflow40
↳(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))underflow49
↳(/.f64 h l)overflow24
/.f64(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))u/n10
↳(*.f64 M D)underflow40
Confusion
Predicted +Predicted -
+3412
-7203
Precision
0.8292682926829268
Recall
0.7391304347826086
Confusion?
Predicted +Predicted MaybePredicted -
+34012
-70203
Precision?
0.8292682926829268
Recall?
0.7391304347826086
Freqs
test
numberfreq
0215
137
24
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Total Time
28.630615234375
Average Time
0.11183834075927734
Samples
612.0ms6 144×0valid
Compiler

Compiled 3 684 to 864 computations (76.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 348.0ms
ival-mult: 134.0ms (38.5% of total)
ival-div: 81.0ms (23.3% of total)
ival-pow2: 57.0ms (16.4% of total)
ival-sqrt: 36.0ms (10.3% of total)
ival-sub: 27.0ms (7.8% of total)
exact: 6.0ms (1.7% of total)
ival-true: 5.0ms (1.4% of total)
adjust: 2.0ms (0.6% of total)
ival-assert: 2.0ms (0.6% of total)

preprocess122.0ms (4.9%)

Memory
3.7MiB live, 33.5MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0167501
1520492
21570492
34468492
01718
02618
14718
211518
382618
4455418
5786218
0802218
Stop Event
1×iter limit
1×node limit
1×iter limit
1×node limit
Calls
Call 1
Inputs
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
Outputs
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (*.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) #s(literal 2 binary64)) #s(literal 1 binary64))) w0)
Symmetry

(abs d)

(abs D)

(abs M)

(negabs w0)

(sort M D)

Compiler

Compiled 18 to 17 computations (5.6% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 6 computations (-∞% saved)

prune1.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
82.5%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
Compiler

Compiled 36 to 34 computations (5.6% saved)

simplify21.0ms (0.8%)

Memory
-7.7MiB live, 18.2MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01718
12918
24018
35018
45818
56318
66518
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
Outputs
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (pow.f64 (/.f64 (*.f64 D M) (*.f64 d #s(literal 2 binary64))) #s(literal 2 binary64))))) w0)

soundness0.0ms (0%)

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

Compiled 18 to 17 computations (5.6% saved)

preprocess42.0ms (1.7%)

Memory
3.6MiB live, 18.8MiB allocated
Remove

(sort M D)

(negabs w0)

(abs M)

(abs D)

(abs d)

Compiler

Compiled 432 to 408 computations (5.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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