1/2(abs(p)+abs(r) - sqrt((p-r)^2 + 4q^2))

Time bar (total: 3.1s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 24 to 20 computations (16.7% saved)

sample53.0ms (1.7%)

Memory
3.3MiB live, 19.0MiB allocated
Samples
19.0ms102×1valid
15.0ms61×2valid
9.0ms97×0valid
Precisions
Click to see histograms. Total time spent on operations: 35.0ms
adjust: 9.0ms (25.9% of total)
ival-pow2: 7.0ms (20.2% of total)
ival-sub: 4.0ms (11.5% of total)
ival-mult: 4.0ms (11.5% of total)
ival-add: 4.0ms (11.5% of total)
ival-sqrt: 3.0ms (8.6% of total)
ival-div: 2.0ms (5.8% of total)
ival-fabs: 2.0ms (5.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
Bogosity

explain2.8s (90.7%)

Memory
18.4MiB live, 1 495.0MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1480-1(-3.425201662687631e-290 -1.2118410019842631e-161 -9.415178349086052e-239)(sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))
1310-0-(-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))))
10-0-(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))
00-0-q
00-0-(-.f64 p r)
00-0-(pow.f64 q #s(literal 2 binary64))
00-0-#s(literal 1 binary64)
00-0-(pow.f64 (-.f64 p r) #s(literal 2 binary64))
00-0-(fabs.f64 p)
00-0-(+.f64 (fabs.f64 p) (fabs.f64 r))
00-0-(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
00-0-#s(literal 4 binary64)
00-0-p
00-0-(+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))
00-0-(fabs.f64 r)
00-0-#s(literal 2 binary64)
00-0-r
00-0-(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
sqrt.f64(sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))oflow-rescue1430
↳(+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))overflow144
↳(pow.f64 q #s(literal 2 binary64))overflow74
↳(pow.f64 (-.f64 p r) #s(literal 2 binary64))overflow102
↳(sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))overflow1
↳(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))overflow74
-.f64(-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))))cancellation1310
sqrt.f64(sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))uflow-rescue40
↳(+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))underflow4
↳(pow.f64 q #s(literal 2 binary64))underflow60
↳(pow.f64 (-.f64 p r) #s(literal 2 binary64))underflow19
↳(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))underflow60
*.f64(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))n*o10
Confusion
Predicted +Predicted -
+2110
-045
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+21100
-0045
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
045
1143
268
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Total Time
53.854736328125
Average Time
0.21037006378173828
Samples
534.0ms2 424×1valid
451.0ms1 464×2valid
233.0ms2 256×0valid
Compiler

Compiled 3 804 to 912 computations (76% saved)

Precisions
Click to see histograms. Total time spent on operations: 864.0ms
adjust: 220.0ms (25.4% of total)
ival-pow2: 178.0ms (20.6% of total)
ival-mult: 106.0ms (12.3% of total)
ival-sub: 94.0ms (10.9% of total)
ival-add: 92.0ms (10.6% of total)
ival-sqrt: 76.0ms (8.8% of total)
ival-fabs: 48.0ms (5.6% of total)
ival-div: 36.0ms (4.2% of total)
exact: 8.0ms (0.9% of total)
ival-true: 5.0ms (0.6% of total)
ival-assert: 2.0ms (0.2% of total)

preprocess203.0ms (6.6%)

Memory
0.5MiB live, 18.3MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
069187
1160184
2443180
31440180
43448180
55328180
67340180
01820
03120
14520
28020
317020
434520
579120
6160320
7308420
8382520
9411320
10420320
11420720
12420720
13433720
14436120
15436120
0436119
Stop Event
1×iter limit
1×saturated
1×iter limit
1×node limit
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))
Outputs
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))
(*.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (+.f64 (fabs.f64 r) (fabs.f64 p))))
Symmetry

(abs q)

(sort p r)

Compiler

Compiled 22 to 18 computations (18.2% 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
22.2%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))
Compiler

Compiled 44 to 36 computations (18.2% saved)

simplify20.0ms (0.6%)

Memory
2.7MiB live, 18.6MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01822
12922
23622
34022
44222
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))
Outputs
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))
(*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (+.f64 (*.f64 (pow.f64 q #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))

soundness0.0ms (0%)

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

Compiled 22 to 18 computations (18.2% saved)

preprocess12.0ms (0.4%)

Memory
-5.2MiB live, 3.8MiB allocated
Remove

(sort p r)

(abs q)

Compiler

Compiled 264 to 216 computations (18.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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