Main:z from

Time bar (total: 11.7s)

analyze121.0ms (1%)

Memory
4.7MiB live, 52.1MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.8%0.2%0%0%0%0
0%0%99.8%0.2%0%0%0%1
0%0%99.8%0.2%0%0%0%2
0%0%99.8%0.2%0%0%0%3
0%0%99.8%0.2%0%0%0%4
6.3%6.2%93.6%0.2%0%0%0%5
8.3%6.2%68.6%0.2%0%25%0%6
11.1%6.2%49.9%0.2%0%43.7%0%7
14.8%6.2%35.9%0.2%0%57.7%0%8
19.8%6.2%25.3%0.2%0%68.2%0%9
23.7%6.2%20.1%0.2%0%73.5%0%10
28.4%6.2%15.7%0.2%0%77.9%0%11
34.1%6.2%12%0.2%0%81.5%0%12
Compiler

Compiled 69 to 51 computations (26.1% saved)

sample11.4s (97.8%)

Memory
4.7MiB live, 4 293.5MiB allocated
Samples
3.2s7 577×1valid-baseline
1.9s7 577×1valid-rival
1.0s7 577×1valid-sollya
85.0ms679×0valid-baseline
75.0ms679×0valid-rival
58.0ms679×0valid-sollya
Bogosity

preprocess95.0ms (0.8%)

Memory
-3.5MiB live, 28.6MiB allocated
Algorithm
1×egg-herbie
Rules
710×associate-+r-
700×fma-define
683×associate-+l-
532×distribute-lft-in
531×associate--r+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0822048
12662016
211432000
360472000
Stop Event
1×node limit
Calls
Call 1
Inputs
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 (neg.f64 y) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 (neg.f64 z) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 (neg.f64 t) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 t))))
(neg.f64 (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))))
(neg.f64 (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 (neg.f64 y) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))))
(neg.f64 (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 (neg.f64 z) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))))
(neg.f64 (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 (neg.f64 t) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 t)))))
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
Outputs
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (-.f64 (sqrt.f64 t) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (-.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 z))) (+.f64 (sqrt.f64 y) (-.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))))))
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (-.f64 (sqrt.f64 t) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (-.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 z))) (+.f64 (sqrt.f64 y) (-.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))))))
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (neg.f64 x))) (sqrt.f64 (neg.f64 x))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (+.f64 (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (neg.f64 x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (-.f64 (sqrt.f64 t) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))))
(-.f64 (-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (+.f64 (-.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (sqrt.f64 z))
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 (neg.f64 y) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (neg.f64 y))) (sqrt.f64 (neg.f64 y))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) y)) (sqrt.f64 (neg.f64 y))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (-.f64 (sqrt.f64 t) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) y)) (-.f64 (sqrt.f64 (neg.f64 y)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) y)) (-.f64 (sqrt.f64 (neg.f64 y)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (sqrt.f64 z))))))
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 (neg.f64 z) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (neg.f64 z))) (sqrt.f64 (neg.f64 z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))
(+.f64 (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) z)) (sqrt.f64 (neg.f64 z))) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (-.f64 (-.f64 (sqrt.f64 x) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))))
(+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (+.f64 (sqrt.f64 x) (-.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t)))) (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) z)) (sqrt.f64 (neg.f64 z))))))
(-.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 x))) (-.f64 (-.f64 (+.f64 (sqrt.f64 t) (sqrt.f64 y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) z)) (sqrt.f64 (neg.f64 z)))))
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 (neg.f64 t) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 t))))
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (neg.f64 t))) (sqrt.f64 (neg.f64 t))))
(-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) t)) (-.f64 (sqrt.f64 (neg.f64 t)) (-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (sqrt.f64 y))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 (+.f64 (sqrt.f64 y) (-.f64 (sqrt.f64 (neg.f64 t)) (sqrt.f64 (-.f64 #s(literal 1 binary64) t)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))))
(neg.f64 (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))))
(neg.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (neg.f64 x))) (sqrt.f64 (neg.f64 x))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))))
(-.f64 (neg.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))) (-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (+.f64 (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (neg.f64 x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (sqrt.f64 z)))
(+.f64 (-.f64 (-.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (-.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (-.f64 (sqrt.f64 y) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (neg.f64 x)))))
(+.f64 (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (+.f64 (-.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (-.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (-.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))
(neg.f64 (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 (neg.f64 y) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))))
(neg.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (neg.f64 y))) (sqrt.f64 (neg.f64 y))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))))
(-.f64 (neg.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))) (-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) y))) (-.f64 (sqrt.f64 (neg.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))))
(+.f64 (-.f64 (-.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (-.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (sqrt.f64 (neg.f64 y)) (-.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 #s(literal 1 binary64) y))))))
(neg.f64 (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 (neg.f64 z) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))))
(neg.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (neg.f64 z))) (sqrt.f64 (neg.f64 z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))))
(-.f64 (neg.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))) (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) z)) (sqrt.f64 (neg.f64 z))))))
(-.f64 (-.f64 (-.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) z))) (sqrt.f64 (neg.f64 z)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))
(neg.f64 (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 (neg.f64 t) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 t)))))
(neg.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (neg.f64 t))) (sqrt.f64 (neg.f64 t)))))
(neg.f64 (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) t)) (-.f64 (sqrt.f64 (neg.f64 t)) (-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (sqrt.f64 y)))))
(+.f64 (-.f64 (-.f64 (sqrt.f64 (neg.f64 t)) (sqrt.f64 (-.f64 #s(literal 1 binary64) t))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (-.f64 (sqrt.f64 y) (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (sqrt.f64 z)))
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (-.f64 (sqrt.f64 t) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (-.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 z))) (+.f64 (sqrt.f64 y) (-.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))))))
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (-.f64 (sqrt.f64 t) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (-.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 z))) (+.f64 (sqrt.f64 y) (-.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))))))
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (-.f64 (sqrt.f64 t) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (-.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 z))) (+.f64 (sqrt.f64 y) (-.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))))))
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (-.f64 (sqrt.f64 t) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (-.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 z))) (+.f64 (sqrt.f64 y) (-.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))))))
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (-.f64 (sqrt.f64 t) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (-.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 z))) (+.f64 (sqrt.f64 y) (-.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))))))
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (-.f64 (sqrt.f64 t) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (-.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 z))) (+.f64 (sqrt.f64 y) (-.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))))))
Symmetry

(sort x y z t)

Compiler

Compiled 35 to 24 computations (31.4% saved)

eval0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Compiler

Compiled 4 to 4 computations (0% saved)

prune1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
91.6%
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
Compiler

Compiled 70 to 48 computations (31.4% saved)

simplify3.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
1×egg-herbie
Rules
15×+-commutative
8×sub-neg
4×*-commutative
4×neg-sub0
4×neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032123
152123
265123
373123
477123
Stop Event
1×saturated
Calls
Call 1
Inputs
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
Outputs
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))

soundness0.0ms (0%)

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

Compiled 35 to 24 computations (31.4% saved)

preprocess36.0ms (0.3%)

Memory
-7.8MiB live, 40.8MiB allocated
Remove

(sort x y z t)

Compiler

Compiled 362 to 246 computations (32% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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