VandenBroeck and Keller, Equation (23)

Time bar (total: 2.6s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze304.0ms (11.8%)

Memory
5.4MiB live, 101.0MiB 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
15.6%15.6%84.3%0.1%0%0%0%7
16.7%15.6%78%0.1%0%6.2%0%8
25%23.4%70.2%0.1%0%6.2%0%9
29.7%26.9%63.6%0.1%0%9.4%0%10
30.8%26.9%60.5%0.1%0%12.5%0%11
35.9%31.4%56%0.1%0%12.5%0%12
Compiler

Compiled 29 to 22 computations (24.1% saved)

sample48.0ms (1.9%)

Memory
0.4MiB live, 15.5MiB allocated
Samples
36.0ms260×0valid
1.0ms8×0invalid
Precisions
Click to see histograms. Total time spent on operations: 30.0ms
ival-mult: 6.0ms (19.7% of total)
ival-tan: 5.0ms (16.4% of total)
ival-pow: 5.0ms (16.4% of total)
ival-div: 4.0ms (13.1% of total)
ival-sin: 4.0ms (13.1% of total)
ival-add: 3.0ms (9.8% of total)
ival-neg: 2.0ms (6.6% 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

explain2.0s (75.9%)

Memory
1.7MiB live, 1 550.0MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
780-0-(pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))
450-0-(*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))))
00-0-(*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))
00-0-#s(literal 1 binary64)
00-0-(+.f64 (*.f64 F F) #s(literal 2 binary64))
09(-1.0936215882957403e+194 6.5495280858992616e+271 -1.525638723983632e+30)0-(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))))
00-0-(neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))))
00-0-(*.f64 F F)
00-0-(*.f64 #s(literal 2 binary64) x)
00-0-(neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
00-0-F
00-0-(tan.f64 B)
00-0-(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
030(9.329340391702328e-242 -8.372206155941074e-67 -2.120199918977421e-179)0-(+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x))
00-0-(/.f64 F (sin.f64 B))
00-0-#s(literal 2 binary64)
00-0-(/.f64 #s(literal 1 binary64) (tan.f64 B))
00-0-x
00-0-B
00-0-(sin.f64 B)
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
pow.f64(pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))oflow-rescue780
↳(*.f64 F F)overflow78
↳(+.f64 (*.f64 F F) #s(literal 2 binary64))overflow78
↳(+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x))overflow78
*.f64(*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))))n*o450
+.f64(+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x))cancellation160
+.f64(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))))cancellation90
Confusion
Predicted +Predicted -
+610
-44151
Precision
0.580952380952381
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+6100
-440151
Precision?
0.580952380952381
Recall?
1.0
Freqs
test
numberfreq
0151
163
241
31
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Total Time
13.30908203125
Average Time
0.05198860168457031
Samples
469.0ms3 072×0valid
Compiler

Compiled 4 560 to 984 computations (78.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 343.0ms
ival-mult: 66.0ms (19.2% of total)
ival-tan: 58.0ms (16.9% of total)
ival-pow: 54.0ms (15.7% of total)
ival-div: 52.0ms (15.2% of total)
ival-sin: 51.0ms (14.9% of total)
ival-add: 34.0ms (9.9% of total)
ival-neg: 21.0ms (6.1% of total)
exact: 3.0ms (0.9% of total)
ival-true: 2.0ms (0.6% of total)
adjust: 1.0ms (0.3% of total)
ival-assert: 1.0ms (0.3% of total)

preprocess237.0ms (9.2%)

Memory
2.4MiB live, 10.0MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
081229
1209195
2538191
31197191
42806191
54494191
65054191
75344191
85458191
95466191
105472191
115800191
125936191
135936191
145936191
155936191
02024
03724
15821
29821
315021
421021
531421
646621
790821
8116021
9126021
10142921
11155221
12157221
0157219
Stop Event
1×iter limit
1×saturated
1×iter limit
1×saturated
Calls
Call 1
Inputs
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))))
Outputs
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))))
(fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B)))
Symmetry

(negabs B)

Compiler

Compiled 27 to 20 computations (25.9% saved)

eval0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune1.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
76.5%
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))))
Compiler

Compiled 54 to 40 computations (25.9% saved)

simplify23.0ms (0.9%)

Memory
2.5MiB live, 18.2MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02027
14226
26125
37625
410625
514625
614825
Stop Event
1×saturated
Calls
Call 1
Inputs
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))))
Outputs
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))))
(-.f64 (*.f64 (pow.f64 (+.f64 (*.f64 #s(literal 2 binary64) x) (+.f64 #s(literal 2 binary64) (*.f64 F F))) (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))) (/.f64 F (sin.f64 B))) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) x))

soundness0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Stop Event
1×fuel
Compiler

Compiled 25 to 19 computations (24% saved)

preprocess8.0ms (0.3%)

Memory
-6.4MiB live, 2.6MiB allocated
Remove

(negabs B)

Compiler

Compiled 204 to 154 computations (24.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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