sqrt sqr

Time bar (total: 2.1s)

analyze3.0ms (0.1%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
50%50%50%0%0%0%0%2
75%75%25%0%0%0%0%3
87.5%87.5%12.5%0%0%0%0%4
93.8%93.7%6.2%0%0%0%0%5
96.9%96.8%3.1%0%0%0%0%6
98.4%98.4%1.6%0%0%0%0%7
99.2%99.2%0.8%0%0%0%0%8
99.6%99.6%0.4%0%0%0%0%9
99.8%99.8%0.2%0%0%0%0%10
99.9%99.9%0.1%0%0%0%0%11
100%99.9%0%0%0%0%0%12
Compiler

Compiled 14 to 9 computations (35.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.0ms
ival-mult: 1.0ms (75.9% of total)
ival-div: 0.0ms (0% of total)
ival-sub: 0.0ms (0% of total)
const: 0.0ms (0% of total)
ival-sqrt: 0.0ms (0% of total)

sample1.9s (88.8%)

Results
1.2s4059×2048valid
307.0ms4197×256valid
Precisions
Click to see histograms. Total time spent on operations: 1.1s
ival-div: 355.0ms (32.3% of total)
ival-mult: 315.0ms (28.7% of total)
ival-sqrt: 234.0ms (21.3% of total)
ival-sub: 171.0ms (15.6% of total)
const: 23.0ms (2.1% of total)
Bogosity

preprocess56.0ms (2.7%)

Algorithm
1×egg-herbie
Rules
85×fma-define
67×fma-neg
22×distribute-lft-neg-in
19×cancel-sign-sub-inv
19×sub-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
021128
16992
214192
325892
441292
553992
657492
758492
Stop Event
1×saturated
Calls
Call 1
Inputs
(-.f64 (/.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (*.f64 x x))))
(-.f64 (/.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (*.f64 x x))))
(-.f64 (/.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (sqrt.f64 (*.f64 (neg.f64 x) (neg.f64 x)))))
(neg.f64 (-.f64 (/.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (sqrt.f64 (*.f64 (neg.f64 x) (neg.f64 x))))))
Outputs
(-.f64 (/.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (*.f64 x x))))
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (fabs.f64 x)))
(-.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x))
(-.f64 (/.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (*.f64 x x))))
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (fabs.f64 x)))
(-.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x))
(-.f64 (/.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (sqrt.f64 (*.f64 (neg.f64 x) (neg.f64 x)))))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (neg.f64 x)))
(+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x))
(neg.f64 (-.f64 (/.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (sqrt.f64 (*.f64 (neg.f64 x) (neg.f64 x))))))
(neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (neg.f64 x))))
(-.f64 #s(literal -1 binary64) (/.f64 (fabs.f64 x) x))

explain141.0ms (6.7%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1320-2(3.465054580949126e-156)(sqrt.f64 (*.f64 x x))
10-0-(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (*.f64 x x)))
00-0-x
00-0-(/.f64 x x)
00-0-(*.f64 x x)
00-0-(-.f64 (/.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (*.f64 x x))))
00-0-(/.f64 #s(literal 1 binary64) x)
00-0-#s(literal 1 binary64)
Results
73.0ms214×2048valid
26.0ms298×256valid
Compiler

Compiled 87 to 26 computations (70.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 56.0ms
ival-div: 22.0ms (39.4% of total)
ival-mult: 16.0ms (28.6% of total)
ival-sqrt: 10.0ms (17.9% of total)
ival-sub: 6.0ms (10.7% of total)
const: 1.0ms (1.8% of total)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
51.7%
(-.f64 (/.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (*.f64 x x))))
Compiler

Compiled 26 to 16 computations (38.5% saved)

simplify4.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
14×neg-mul-1
11×unsub-neg
6×distribute-lft-neg-in
6×sub-neg
6×distribute-rgt-neg-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01350
12450
23950
34950
45950
58050
610850
Stop Event
1×saturated
Calls
Call 1
Inputs
(-.f64 (/.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (*.f64 x x))))
Outputs
(-.f64 (/.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (*.f64 x x))))
(+.f64 (/.f64 x x) (*.f64 (sqrt.f64 (*.f64 x x)) (/.f64 #s(literal -1 binary64) x)))

soundness0.0ms (0%)

Stop Event
1×fuel
Compiler

Compiled 13 to 8 computations (38.5% saved)

preprocess30.0ms (1.4%)

Compiler

Compiled 66 to 42 computations (36.4% saved)

end0.0ms (0%)

Profiling

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