Toniolo and Linder, Equation (3a)

Time bar (total: 1.0s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze109.0ms (10.5%)

Memory
6.3MiB live, 39.1MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.8%0.2%0%0%0%0
0%0%99.8%0.2%0%0%0%1
0%0%99.8%0.2%0%0%0%2
50%49.9%49.9%0.2%0%0%0%3
50%49.9%49.9%0.2%0%0%0%4
50%49.9%49.9%0.2%0%0%0%5
50%49.9%49.9%0.2%0%0%0%6
75%74.9%25%0.2%0%0%0%7
75%74.9%25%0.2%0%0%0%8
75%74.9%25%0.2%0%0%0%9
75%74.9%25%0.2%0%0%0%10
87.5%87.3%12.5%0.2%0%0%0%11
87.5%87.3%12.5%0.2%0%0%0%12
Compiler

Compiled 31 to 24 computations (22.6% saved)

sample49.0ms (4.7%)

Memory
-5.5MiB live, 17.1MiB allocated
Samples
37.0ms260×0valid
Precisions
Click to see histograms. Total time spent on operations: 31.0ms
ival-sin: 9.0ms (29.4% of total)
ival-pow2: 7.0ms (22.9% of total)
ival-div: 5.0ms (16.3% of total)
ival-mult: 4.0ms (13.1% of total)
ival-add: 3.0ms (9.8% of total)
ival-sqrt: 3.0ms (9.8% 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

explain694.0ms (66.7%)

Memory
9.4MiB live, 248.1MiB allocated
Confusion
Predicted +Predicted -
+03
-107146
Precision
0.0
Recall
0.0
2:
4:
8:
16:
32:
64:
128:
256:
512:
1024:
2048:
Samples
463.0ms3 072×0valid
Compiler

Compiled 1 068 to 816 computations (23.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 372.0ms
ival-sin: 112.0ms (30.1% of total)
ival-pow2: 77.0ms (20.7% of total)
ival-div: 57.0ms (15.3% of total)
ival-mult: 47.0ms (12.6% of total)
ival-add: 39.0ms (10.5% of total)
ival-sqrt: 33.0ms (8.9% of total)
ival-true: 3.0ms (0.8% of total)
exact: 3.0ms (0.8% of total)
adjust: 1.0ms (0.3% of total)
ival-assert: 1.0ms (0.3% of total)

preprocess148.0ms (14.2%)

Memory
4.2MiB live, 27.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0127391
1330354
2871354
33861354
47924354
02227
03927
16425
212425
344025
4173425
5303925
6356325
7380025
8430825
9567225
10666425
01009024
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))))
Outputs
(sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))))
(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (pow.f64 (/.f64 (*.f64 l #s(literal 2 binary64)) Om) #s(literal 2 binary64)) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
Symmetry

(abs ky)

(abs kx)

(abs Om)

(abs l)

(sort kx ky)

Compiler

Compiled 29 to 22 computations (24.1% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 4 computations (-∞% saved)

prune1.0ms (0.1%)

Memory
0.6MiB live, 0.6MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.8%
(sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))))
Compiler

Compiled 58 to 44 computations (24.1% saved)

simplify19.0ms (1.8%)

Memory
2.4MiB live, 18.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02229
13129
Stop Event
saturated
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))))
Outputs
(sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))))
(sqrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (*.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (pow.f64 (/.f64 (*.f64 l #s(literal 2 binary64)) Om) #s(literal 2 binary64))) #s(literal 1 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))

soundness0.0ms (0%)

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

Compiled 29 to 22 computations (24.1% saved)

preprocess20.0ms (1.9%)

Memory
-4.8MiB live, 13.0MiB allocated
Remove

(sort kx ky)

(abs l)

(abs Om)

(abs kx)

(abs ky)

Compiler

Compiled 696 to 528 computations (24.1% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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