From Rump in a 1983 paper

Time bar (total: 1.9s)

analyze12.0ms (0.6%)

Memory
3.7MiB live, 3.7MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%0%100%0%0%0%0
100%0%0%100%0%0%0%1
Compiler

Compiled 35 to 27 computations (22.9% saved)

sample1.7s (90.1%)

Memory
-10.6MiB live, 533.7MiB allocated
Samples
497.0ms8 256×0valid-baseline
469.0ms8 256×0valid-rival
150.0ms8 256×0valid-sollya
Bogosity

preprocess153.0ms (8%)

Memory
7.0MiB live, 22.5MiB allocated
Algorithm
egg-herbie
Rules
844×fmm-def
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
62682365
72970365
83044365
93051365
103051365
Stop Event
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))))
Compiler

Compiled 17 to 12 computations (29.4% saved)

eval0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
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%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
egg-herbie
Rules
*-commutative
+-commutative
sub-neg
neg-sub0
neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01755
12355
22855
33055
43155
Stop Event
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%)

Memory
0.4MiB live, 0.4MiB allocated
Stop Event
fuel
Compiler

Compiled 17 to 12 computations (29.4% saved)

preprocess22.0ms (1.1%)

Memory
-13.6MiB live, 22.1MiB allocated
Compiler

Compiled 68 to 48 computations (29.4% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

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