Toniolo and Linder, Equation (3b), real

Time bar (total: 7.4s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze153.0ms (2.1%)

Memory
3.1MiB live, 50.3MiB allocated
Algorithm
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
25%25%74.9%0.1%0%0%0%5
43.8%43.7%56.2%0.1%0%0%0%6
43.8%43.7%56.2%0.1%0%0%0%7
53.1%53%46.8%0.1%0%0%0%8
60.9%60.8%39%0.1%0%0%0%9
60.9%60.8%39%0.1%0%0%0%10
64.8%64.7%35.1%0.1%0%0%0%11
68.4%68.3%31.6%0.1%0%0%0%12
Compiler

Compiled 18 to 14 computations (22.2% saved)

sample40.0ms (0.5%)

Memory
-3.8MiB live, 12.0MiB allocated
Samples
31.0ms260×0valid
Precisions
Click to see histograms. Total time spent on operations: 26.0ms
ival-sin: 15.0ms (58.7% of total)
ival-pow2: 4.0ms (15.7% of total)
ival-mult: 2.0ms (7.8% of total)
ival-sqrt: 2.0ms (7.8% of total)
ival-div: 1.0ms (3.9% of total)
ival-add: 1.0ms (3.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
Bogosity

explain7.1s (95.8%)

Memory
29.9MiB live, 3 619.5MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
130-1(-2.2619568203412352e-288 2.0070675226452657e-157 1.0109773449147162e-192)(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
00-0-(+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
00-0-(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
00-0-(sin.f64 kx)
00-0-(sin.f64 th)
00-0-(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
00-0-(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
00-0-th
00-0-#s(literal 2 binary64)
00-0-(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
00-0-(sin.f64 ky)
00-0-ky
00-0-kx
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
sqrt.f64(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))uflow-rescue120
(pow.f64 (sin.f64 kx) #s(literal 2 binary64))underflow63
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))underflow60
(+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))underflow12
Confusion
Predicted +Predicted -
+121
-0243
Precision
1.0
Recall
0.9230769230769231
Confusion?
Predicted +Predicted MaybePredicted -
+1201
-00243
Precision?
1.0
Recall?
0.9230769230769231
Freqs
test
numberfreq
0244
112
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Total Time
36.97607421875
Average Time
0.1444377899169922
Samples
3.1s23 040×0valid
Compiler

Compiled 9 810 to 2 520 computations (74.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.3s
ival-sin: 1.4s (58.6% of total)
ival-pow2: 403.0ms (17.3% of total)
ival-sqrt: 148.0ms (6.3% of total)
ival-mult: 137.0ms (5.9% of total)
ival-div: 132.0ms (5.7% of total)
ival-add: 98.0ms (4.2% of total)
ival-true: 23.0ms (1% of total)
exact: 17.0ms (0.7% of total)
ival-assert: 8.0ms (0.3% of total)

preprocess71.0ms (1%)

Memory
-0.2MiB live, 7.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045153
1101147
2211147
3383147
4831147
51949147
62504147
72781147
82893147
92943147
102958147
112958147
01316
02216
12816
23216
33316
03311
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
Outputs
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
Symmetry

(abs kx)

(negabs th)

(negabs ky)

Compiler

Compiled 16 to 13 computations (18.8% saved)

eval0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune1.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
95.1%
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
Compiler

Compiled 32 to 26 computations (18.8% saved)

simplify20.0ms (0.3%)

Memory
2.2MiB live, 18.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01316
11516
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
Outputs
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))

soundness0.0ms (0%)

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

Compiled 16 to 13 computations (18.8% saved)

preprocess30.0ms (0.4%)

Memory
3.5MiB live, 12.0MiB allocated
Remove

(negabs ky)

(negabs th)

(abs kx)

Compiler

Compiled 256 to 208 computations (18.8% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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