Rump's expression from Stadtherr's award speech

Time bar (total: 1.4s)

analyze0.0ms (0%)

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

Compiled 10 to 8 computations (20% saved)

sample543.0ms (39.8%)

Results
532.0ms8256×body256valid
Bogosity

preprocess472.0ms (34.6%)

Algorithm
egg-herbie
Rules
1534×fma-neg
1346×fma-def
1202×unswap-sqr
1022×cancel-sign-sub-inv
744×*-commutative
FPErrors
Click to see full error table
truthopredexupredexsubexpr
2560-0-#f
00-0-x
00-0-(pow.f64 y 8)
00-0-(-.f64 (-.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 11 x) x) y) y) (pow.f64 y 6)) (*.f64 121 (pow.f64 y 4))) 2)
00-0-(+.f64 (*.f64 1335/4 (pow.f64 y 6)) (*.f64 (*.f64 x x) (-.f64 (-.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 11 x) x) y) y) (pow.f64 y 6)) (*.f64 121 (pow.f64 y 4))) 2)))
00-0-(+.f64 (+.f64 (*.f64 1335/4 (pow.f64 y 6)) (*.f64 (*.f64 x x) (-.f64 (-.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 11 x) x) y) y) (pow.f64 y 6)) (*.f64 121 (pow.f64 y 4))) 2))) (*.f64 11/2 (pow.f64 y 8)))
00-0-(*.f64 121 (pow.f64 y 4))
00-0-121
00-0-11/2
00-0-(*.f64 2 y)
00-0-(*.f64 (*.f64 11 x) x)
00-0-(*.f64 (*.f64 (*.f64 11 x) x) y)
00-0-(*.f64 x x)
00-0-(*.f64 11 x)
00-0-(-.f64 (*.f64 (*.f64 (*.f64 (*.f64 11 x) x) y) y) (pow.f64 y 6))
00-0-(pow.f64 y 6)
00-0-1335/4
00-0-(+.f64 (+.f64 (+.f64 (*.f64 1335/4 (pow.f64 y 6)) (*.f64 (*.f64 x x) (-.f64 (-.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 11 x) x) y) y) (pow.f64 y 6)) (*.f64 121 (pow.f64 y 4))) 2))) (*.f64 11/2 (pow.f64 y 8))) (/.f64 x (*.f64 2 y)))
00-0-11
00-0-y
00-0-(/.f64 x (*.f64 2 y))
00-0-8
00-0-(*.f64 (*.f64 (*.f64 (*.f64 11 x) x) y) y)
00-0-6
00-0-(*.f64 1335/4 (pow.f64 y 6))
00-0-4
00-0-(pow.f64 y 4)
00-0-2
00-0-(-.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 11 x) x) y) y) (pow.f64 y 6)) (*.f64 121 (pow.f64 y 4)))
00-0-(*.f64 11/2 (pow.f64 y 8))
00-0-(*.f64 (*.f64 x x) (-.f64 (-.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 11 x) x) y) y) (pow.f64 y 6)) (*.f64 121 (pow.f64 y 4))) 2))
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
039165
191154
2254148
3836146
43372146
57277146
Stop Event
node limit
Calls
Call 1
Inputs
(+.f64 (+.f64 (+.f64 (*.f64 1335/4 (pow.f64 y 6)) (*.f64 (*.f64 x x) (-.f64 (-.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 11 x) x) y) y) (pow.f64 y 6)) (*.f64 121 (pow.f64 y 4))) 2))) (*.f64 11/2 (pow.f64 y 8))) (/.f64 x (*.f64 2 y)))
-54767/66192
-54767/66192
-54767/66192
(neg.f64 -54767/66192)
(neg.f64 -54767/66192)
-54767/66192
Outputs
(+.f64 (+.f64 (+.f64 (*.f64 1335/4 (pow.f64 y 6)) (*.f64 (*.f64 x x) (-.f64 (-.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 11 x) x) y) y) (pow.f64 y 6)) (*.f64 121 (pow.f64 y 4))) 2))) (*.f64 11/2 (pow.f64 y 8))) (/.f64 x (*.f64 2 y)))
(+.f64 (fma.f64 1335/4 (pow.f64 y 6) (*.f64 (*.f64 x x) (+.f64 (+.f64 (-.f64 (*.f64 y (*.f64 y (*.f64 x (*.f64 x 11)))) (pow.f64 y 6)) (*.f64 -121 (pow.f64 y 4))) -2))) (+.f64 (*.f64 11/2 (pow.f64 y 8)) (/.f64 x (*.f64 y 2))))
(+.f64 (fma.f64 (*.f64 x x) (-.f64 (*.f64 x (*.f64 (*.f64 x 11) (pow.f64 y 2))) (+.f64 (pow.f64 y 6) (fma.f64 121 (pow.f64 y 4) 2))) (*.f64 1335/4 (pow.f64 y 6))) (fma.f64 11/2 (pow.f64 y 8) (/.f64 x (*.f64 y 2))))
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (*.f64 11 (pow.f64 y 2))) (fma.f64 -1 (pow.f64 y 6) (fma.f64 (pow.f64 y 4) -121 -2)))) (fma.f64 1335/4 (pow.f64 y 6) (fma.f64 11/2 (pow.f64 y 8) (/.f64 x (*.f64 y 2)))))
(fma.f64 (*.f64 x x) (-.f64 (fma.f64 x (*.f64 x (*.f64 11 (pow.f64 y 2))) (fma.f64 (pow.f64 y 4) -121 -2)) (pow.f64 y 6)) (fma.f64 1335/4 (pow.f64 y 6) (fma.f64 11/2 (pow.f64 y 8) (/.f64 x (*.f64 y 2)))))
(fma.f64 (*.f64 x x) (-.f64 (fma.f64 x (*.f64 x (*.f64 11 (pow.f64 y 2))) -2) (fma.f64 121 (pow.f64 y 4) (pow.f64 y 6))) (fma.f64 1335/4 (pow.f64 y 6) (fma.f64 11/2 (pow.f64 y 8) (/.f64 x (*.f64 y 2)))))
-54767/66192
-54767/66192
-54767/66192
(neg.f64 -54767/66192)
54767/66192
(neg.f64 -54767/66192)
54767/66192
-54767/66192
Symmetry

(abs x)

(abs y)

(sort x y)

Compiler

Compiled 567 to 389 computations (31.4% saved)

eval4.0ms (0.3%)

Compiler

Compiled 199 to 140 computations (29.6% saved)

prune2.0ms (0.2%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
1.4%
(+.f64 (+.f64 (+.f64 (*.f64 1335/4 (pow.f64 y 6)) (*.f64 (*.f64 x x) (-.f64 (-.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 11 x) x) y) y) (pow.f64 y 6)) (*.f64 121 (pow.f64 y 4))) 2))) (*.f64 11/2 (pow.f64 y 8))) (/.f64 x (*.f64 2 y)))
1.4%
(+.f64 (+.f64 (+.f64 (*.f64 1335/4 (pow.f64 y 6)) (*.f64 (*.f64 x x) (-.f64 (-.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 11 x) x) y) y) (pow.f64 y 6)) (*.f64 121 (pow.f64 y 4))) 2))) (*.f64 11/2 (pow.f64 y 8))) (/.f64 x (*.f64 2 y)))
Compiler

Compiled 90 to 66 computations (26.7% saved)

localize272.0ms (19.9%)

Compiler

Compiled 261 to 178 computations (31.8% saved)

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune2.0ms (0.1%)

Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New000
Fresh000
Picked011
Done000
Total011
Accuracy
1.4%
Counts
1 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
1.4%
(+.f64 (+.f64 (+.f64 (*.f64 1335/4 (pow.f64 y 6)) (*.f64 (*.f64 x x) (-.f64 (-.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 11 x) x) y) y) (pow.f64 y 6)) (*.f64 121 (pow.f64 y 4))) 2))) (*.f64 11/2 (pow.f64 y 8))) (/.f64 x (*.f64 2 y)))
Compiler

Compiled 90 to 66 computations (26.7% saved)

simplify6.0ms (0.4%)

Algorithm
egg-herbie
Rules
28×*-commutative
22×+-commutative
16×sub-neg
10×neg-mul-1
10×neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035163
157163
275163
385163
491163
592163
Stop Event
done
saturated
Calls
Call 1
Inputs
(+.f64 (+.f64 (+.f64 (*.f64 1335/4 (pow.f64 y 6)) (*.f64 (*.f64 x x) (-.f64 (-.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 11 x) x) y) y) (pow.f64 y 6)) (*.f64 121 (pow.f64 y 4))) 2))) (*.f64 11/2 (pow.f64 y 8))) (/.f64 x (*.f64 2 y)))
Outputs
(+.f64 (+.f64 (+.f64 (*.f64 1335/4 (pow.f64 y 6)) (*.f64 (*.f64 x x) (-.f64 (-.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 11 x) x) y) y) (pow.f64 y 6)) (*.f64 121 (pow.f64 y 4))) 2))) (*.f64 11/2 (pow.f64 y 8))) (/.f64 x (*.f64 2 y)))
(+.f64 (+.f64 (+.f64 (*.f64 1335/4 (pow.f64 y 6)) (*.f64 (*.f64 x x) (-.f64 (-.f64 (-.f64 (*.f64 y (*.f64 y (*.f64 x (*.f64 x 11)))) (pow.f64 y 6)) (*.f64 121 (pow.f64 y 4))) 2))) (*.f64 11/2 (pow.f64 y 8))) (/.f64 x (*.f64 y 2)))
Compiler

Compiled 45 to 33 computations (26.7% saved)

soundness0.0ms (0%)

end0.0ms (0%)

preprocess63.0ms (4.6%)

Remove

(sort x y)

(abs y)

(abs x)

Compiler

Compiled 720 to 528 computations (26.7% saved)

Profiling

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