From Rump in a 1983 paper

Time bar (total: 2.0s)

analyze0.0ms (0%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%0%100%0%0%0%0
100%0%0%100%0%0%0%1
Compiler

Compiled 24 to 17 computations (29.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
ival-sub: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
ival-and: 0.0ms (0% of total)
ival-mult: 0.0ms (0% of total)
ival-==: 0.0ms (0% of total)
const: 0.0ms (0% of total)
ival-pow: 0.0ms (0% of total)

sample1.7s (84.2%)

Results
1.4s8256×256valid
Precisions
Click to see histograms. Total time spent on operations: 1.2s
ival-mult: 404.0ms (34.8% of total)
ival-==: 353.0ms (30.4% of total)
ival-pow: 279.0ms (24% of total)
ival-add: 54.0ms (4.7% of total)
ival-sub: 42.0ms (3.6% of total)
const: 18.0ms (1.6% of total)
ival-and: 10.0ms (0.9% of total)
Bogosity

preprocess159.0ms (8%)

Algorithm
1×egg-herbie
Rules
844×fma-neg
430×fma-define
154×cancel-sign-sub-inv
145×sub-neg
96×associate-+l-
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
036409
194381
2266373
3641365
41392365
52312365
62684365
72971365
83045365
93052365
103052365
Stop Event
1×saturated
Calls
Call 1
Inputs
(+.f64 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 y y)))
(+.f64 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 y y)))
(+.f64 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 (neg.f64 x) #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 y y)))
(+.f64 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (neg.f64 y) #s(literal 4 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 y) (neg.f64 y))))
(neg.f64 (+.f64 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 (neg.f64 x) #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 y y))))
(neg.f64 (+.f64 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (neg.f64 y) #s(literal 4 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 y) (neg.f64 y)))))
(+.f64 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 x x)))
Outputs
(+.f64 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 y y)))
(fma.f64 #s(literal 2 binary64) (*.f64 y y) (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))))
(-.f64 (fma.f64 y (*.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 y #s(literal 4 binary64)))
(-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (*.f64 y y) #s(literal -2 binary64) (pow.f64 y #s(literal 4 binary64))))
(+.f64 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 y y)))
(fma.f64 #s(literal 2 binary64) (*.f64 y y) (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))))
(-.f64 (fma.f64 y (*.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 y #s(literal 4 binary64)))
(-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (*.f64 y y) #s(literal -2 binary64) (pow.f64 y #s(literal 4 binary64))))
(+.f64 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 (neg.f64 x) #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 y y)))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 y y)) (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 (neg.f64 x) #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))))
(fma.f64 #s(literal 2 binary64) (*.f64 y y) (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 (neg.f64 x) #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))))
(fma.f64 y (*.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal 9 binary64) (pow.f64 (neg.f64 x) #s(literal 4 binary64)) (neg.f64 (pow.f64 y #s(literal 4 binary64)))))
(-.f64 (*.f64 y (*.f64 y #s(literal 2 binary64))) (fma.f64 (pow.f64 (neg.f64 x) #s(literal 4 binary64)) #s(literal -9 binary64) (pow.f64 y #s(literal 4 binary64))))
(+.f64 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (neg.f64 y) #s(literal 4 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 y) (neg.f64 y))))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 y y)) (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (neg.f64 y) #s(literal 4 binary64))))
(fma.f64 #s(literal 2 binary64) (*.f64 y y) (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (neg.f64 y) #s(literal 4 binary64))))
(-.f64 (fma.f64 y (*.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (neg.f64 y) #s(literal 4 binary64)))
(-.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 y (*.f64 y #s(literal 2 binary64)))) (pow.f64 (neg.f64 y) #s(literal 4 binary64)))
(neg.f64 (+.f64 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 (neg.f64 x) #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 y y))))
(neg.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 y y)) (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 (neg.f64 x) #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64)))))
(-.f64 (*.f64 (*.f64 y y) #s(literal -2 binary64)) (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 (neg.f64 x) #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))))
(fma.f64 (*.f64 y y) #s(literal -2 binary64) (+.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (pow.f64 (neg.f64 x) #s(literal 4 binary64)) #s(literal -9 binary64))))
(fma.f64 y (*.f64 y #s(literal -2 binary64)) (fma.f64 (pow.f64 (neg.f64 x) #s(literal 4 binary64)) #s(literal -9 binary64) (pow.f64 y #s(literal 4 binary64))))
(neg.f64 (+.f64 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (neg.f64 y) #s(literal 4 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 y) (neg.f64 y)))))
(neg.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 y y)) (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (neg.f64 y) #s(literal 4 binary64)))))
(-.f64 (*.f64 (*.f64 y y) #s(literal -2 binary64)) (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (neg.f64 y) #s(literal 4 binary64))))
(fma.f64 (*.f64 y y) #s(literal -2 binary64) (+.f64 (pow.f64 (neg.f64 y) #s(literal 4 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -9 binary64))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -9 binary64) (fma.f64 y (*.f64 y #s(literal -2 binary64)) (pow.f64 (neg.f64 y) #s(literal 4 binary64))))
(+.f64 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 x x)))
(fma.f64 #s(literal 2 binary64) (*.f64 x x) (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 x (*.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)) (neg.f64 (pow.f64 x #s(literal 4 binary64)))))
(-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 x (*.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal 4 binary64))))

explain128.0ms (6.4%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2560-0-(-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64)))
00-0-x
00-0-(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))
00-0-(*.f64 y y)
00-0-(pow.f64 x #s(literal 4 binary64))
01(10864.0 18817.0)0-(+.f64 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 y y)))
00-0-y
00-0-#s(literal 2 binary64)
00-0-(pow.f64 y #s(literal 4 binary64))
00-0-#s(literal 4 binary64)
00-0-#s(literal 9 binary64)
00-0-(*.f64 #s(literal 2 binary64) (*.f64 y y))
Results
72.0ms512×256valid
Compiler

Compiled 119 to 38 computations (68.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 36.0ms
ival-pow: 16.0ms (44.2% of total)
ival-mult: 12.0ms (33.2% of total)
ival-sub: 5.0ms (13.8% of total)
ival-add: 2.0ms (5.5% of total)
const: 1.0ms (2.8% of total)

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
18.8%
(+.f64 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 y y)))
Compiler

Compiled 34 to 24 computations (29.4% saved)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
3×*-commutative
3×+-commutative
2×sub-neg
1×neg-sub0
1×neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01755
12355
22855
33055
43155
Stop Event
1×saturated
Calls
Call 1
Inputs
(+.f64 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 y y)))
Outputs
(+.f64 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 y y)))

soundness0.0ms (0%)

Stop Event
1×fuel
Compiler

Compiled 17 to 12 computations (29.4% saved)

preprocess23.0ms (1.2%)

Compiler

Compiled 68 to 48 computations (29.4% saved)

end0.0ms (0%)

Profiling

Loading profile data...