Diagrams.Solve.Polynomial:cubForm from diagrams-solve-0.1, H

Time bar (total: 12.1s)

analyze461.0ms (3.8%)

Algorithm
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
25%25%74.9%0.2%0%0%0%4
25%25%74.9%0.2%0%0%0%5
25%25%74.9%0.2%0%0%0%6
37.5%37.4%62.4%0.2%0%0%0%7
56.3%56.1%43.7%0.2%0%0%0%8
56.3%56.1%43.7%0.2%0%0%0%9
56.3%56.1%43.7%0.2%0%0%0%10
65.6%65.5%34.3%0.2%0%0%0%11
76.6%76.4%23.4%0.2%0%0%0%12
Compiler

Compiled 20 to 12 computations (40% saved)

sample11.1s (91.6%)

Results
2.3s8256×0valid-rival
1.0s8197×0valid-sollya
295.0ms59×0exit-sollya
Bogosity

preprocess397.0ms (3.3%)

Algorithm
egg-herbie
Rules
585×fma-neg
454×div-sub
416×sub-neg
285×distribute-lft-neg-out
267×associate-/l*
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0731024
1220976
2628930
31818803
45472793
Stop Event
node limit
Calls
Call 1
Inputs
(+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)))
(+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)))
(+.f64 (-.f64 (neg.f64 x) (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)))
(+.f64 (-.f64 x (/.f64 (neg.f64 y) (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) (neg.f64 y))))
(+.f64 (-.f64 x (/.f64 y (*.f64 (neg.f64 z) #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 (neg.f64 z) #s(literal 3 binary64)) y)))
(+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 (neg.f64 t) (*.f64 (*.f64 z #s(literal 3 binary64)) y)))
(neg.f64 (+.f64 (-.f64 (neg.f64 x) (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))))
(neg.f64 (+.f64 (-.f64 x (/.f64 (neg.f64 y) (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) (neg.f64 y)))))
(neg.f64 (+.f64 (-.f64 x (/.f64 y (*.f64 (neg.f64 z) #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 (neg.f64 z) #s(literal 3 binary64)) y))))
(neg.f64 (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 (neg.f64 t) (*.f64 (*.f64 z #s(literal 3 binary64)) y))))
(+.f64 (-.f64 y (/.f64 x (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) x)))
(+.f64 (-.f64 z (/.f64 y (*.f64 x #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 x #s(literal 3 binary64)) y)))
(+.f64 (-.f64 t (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 x (*.f64 (*.f64 z #s(literal 3 binary64)) y)))
(+.f64 (-.f64 x (/.f64 z (*.f64 y #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 y #s(literal 3 binary64)) z)))
(+.f64 (-.f64 x (/.f64 t (*.f64 z #s(literal 3 binary64)))) (/.f64 y (*.f64 (*.f64 z #s(literal 3 binary64)) t)))
(+.f64 (-.f64 x (/.f64 y (*.f64 t #s(literal 3 binary64)))) (/.f64 z (*.f64 (*.f64 t #s(literal 3 binary64)) y)))
Outputs
(+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)))
(+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64)))))
(+.f64 (+.f64 (/.f64 t (*.f64 z (*.f64 y #s(literal 3 binary64)))) x) (/.f64 y (*.f64 z #s(literal -3 binary64))))
(+.f64 x (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) (/.f64 t (*.f64 z (*.f64 y #s(literal 3 binary64))))))
(+.f64 x (*.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y)))
(+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)))
(+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64)))))
(+.f64 (+.f64 (/.f64 t (*.f64 z (*.f64 y #s(literal 3 binary64)))) x) (/.f64 y (*.f64 z #s(literal -3 binary64))))
(+.f64 x (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) (/.f64 t (*.f64 z (*.f64 y #s(literal 3 binary64))))))
(+.f64 x (*.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y)))
(+.f64 (-.f64 (neg.f64 x) (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)))
(+.f64 (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64)))) (-.f64 (neg.f64 x) (/.f64 y (*.f64 z #s(literal 3 binary64)))))
(-.f64 (/.f64 t (*.f64 z (*.f64 y #s(literal 3 binary64)))) (-.f64 x (/.f64 y (*.f64 z #s(literal -3 binary64)))))
(fma.f64 x #s(literal -1 binary64) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) (/.f64 t (*.f64 z (*.f64 y #s(literal 3 binary64))))))
(-.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y)) x)
(+.f64 (-.f64 x (/.f64 (neg.f64 y) (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) (neg.f64 y))))
(+.f64 (-.f64 x (/.f64 (neg.f64 y) (*.f64 z #s(literal 3 binary64)))) (/.f64 (/.f64 t (*.f64 z #s(literal 3 binary64))) (neg.f64 y)))
(-.f64 (+.f64 (/.f64 (/.f64 t y) (*.f64 z #s(literal -3 binary64))) x) (/.f64 y (*.f64 z #s(literal -3 binary64))))
(-.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) y) (/.f64 t z) x) (/.f64 y (*.f64 z #s(literal -3 binary64))))
(+.f64 x (*.f64 (/.f64 #s(literal -1/3 binary64) z) (-.f64 (/.f64 t y) y)))
(+.f64 (-.f64 x (/.f64 y (*.f64 (neg.f64 z) #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 (neg.f64 z) #s(literal 3 binary64)) y)))
(+.f64 (-.f64 x (/.f64 (neg.f64 y) (*.f64 z #s(literal 3 binary64)))) (/.f64 (/.f64 t (*.f64 z #s(literal 3 binary64))) (neg.f64 y)))
(-.f64 (+.f64 (/.f64 (/.f64 t y) (*.f64 z #s(literal -3 binary64))) x) (/.f64 y (*.f64 z #s(literal -3 binary64))))
(-.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) y) (/.f64 t z) x) (/.f64 y (*.f64 z #s(literal -3 binary64))))
(+.f64 x (*.f64 (/.f64 #s(literal -1/3 binary64) z) (-.f64 (/.f64 t y) y)))
(+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 (neg.f64 t) (*.f64 (*.f64 z #s(literal 3 binary64)) y)))
(+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 (neg.f64 t) (*.f64 y (*.f64 z #s(literal 3 binary64)))))
(+.f64 x (+.f64 (/.f64 y (*.f64 z #s(literal -3 binary64))) (/.f64 (/.f64 t y) (*.f64 z #s(literal -3 binary64)))))
(fma.f64 (/.f64 #s(literal -1/3 binary64) z) (/.f64 t y) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x))
(-.f64 x (*.f64 (/.f64 #s(literal 1/3 binary64) z) (+.f64 y (/.f64 t y))))
(neg.f64 (+.f64 (-.f64 (neg.f64 x) (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))))
(+.f64 (-.f64 x (/.f64 (neg.f64 y) (*.f64 z #s(literal 3 binary64)))) (/.f64 (/.f64 t (*.f64 z #s(literal 3 binary64))) (neg.f64 y)))
(-.f64 (+.f64 (/.f64 (/.f64 t y) (*.f64 z #s(literal -3 binary64))) x) (/.f64 y (*.f64 z #s(literal -3 binary64))))
(-.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) y) (/.f64 t z) x) (/.f64 y (*.f64 z #s(literal -3 binary64))))
(+.f64 x (*.f64 (/.f64 #s(literal -1/3 binary64) z) (-.f64 (/.f64 t y) y)))
(neg.f64 (+.f64 (-.f64 x (/.f64 (neg.f64 y) (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) (neg.f64 y)))))
(+.f64 (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64)))) (-.f64 (neg.f64 x) (/.f64 y (*.f64 z #s(literal 3 binary64)))))
(-.f64 (/.f64 t (*.f64 z (*.f64 y #s(literal 3 binary64)))) (-.f64 x (/.f64 y (*.f64 z #s(literal -3 binary64)))))
(fma.f64 x #s(literal -1 binary64) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) (/.f64 t (*.f64 z (*.f64 y #s(literal 3 binary64))))))
(-.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y)) x)
(neg.f64 (+.f64 (-.f64 x (/.f64 y (*.f64 (neg.f64 z) #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 (neg.f64 z) #s(literal 3 binary64)) y))))
(+.f64 (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64)))) (-.f64 (neg.f64 x) (/.f64 y (*.f64 z #s(literal 3 binary64)))))
(-.f64 (/.f64 t (*.f64 z (*.f64 y #s(literal 3 binary64)))) (-.f64 x (/.f64 y (*.f64 z #s(literal -3 binary64)))))
(fma.f64 x #s(literal -1 binary64) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) (/.f64 t (*.f64 z (*.f64 y #s(literal 3 binary64))))))
(-.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y)) x)
(neg.f64 (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 (neg.f64 t) (*.f64 (*.f64 z #s(literal 3 binary64)) y))))
(neg.f64 (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 (neg.f64 t) (*.f64 y (*.f64 z #s(literal 3 binary64))))))
(-.f64 (/.f64 t (*.f64 z (*.f64 y #s(literal 3 binary64)))) (+.f64 x (/.f64 y (*.f64 z #s(literal -3 binary64)))))
(-.f64 (/.f64 t (*.f64 z (*.f64 y #s(literal 3 binary64)))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x))
(-.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) z) (+.f64 y (/.f64 t y))) x)
(+.f64 (-.f64 y (/.f64 x (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) x)))
(+.f64 (-.f64 y (/.f64 x (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 x (*.f64 z #s(literal 3 binary64)))))
(+.f64 y (+.f64 (/.f64 x (*.f64 z #s(literal -3 binary64))) (/.f64 t (*.f64 z (*.f64 x #s(literal 3 binary64))))))
(+.f64 y (+.f64 (/.f64 t (*.f64 z (*.f64 x #s(literal 3 binary64)))) (*.f64 x (/.f64 #s(literal -1/3 binary64) z))))
(+.f64 y (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 t (*.f64 x z))) (*.f64 x (/.f64 #s(literal -1/3 binary64) z))))
(+.f64 y (*.f64 #s(literal -1/3 binary64) (-.f64 (/.f64 x z) (/.f64 t (*.f64 x z)))))
(+.f64 (-.f64 z (/.f64 y (*.f64 x #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 x #s(literal 3 binary64)) y)))
(+.f64 (-.f64 z (/.f64 y (*.f64 x #s(literal 3 binary64)))) (/.f64 (/.f64 t (*.f64 x #s(literal 3 binary64))) y))
(+.f64 z (+.f64 (/.f64 (/.f64 y x) #s(literal -3 binary64)) (/.f64 t (*.f64 x (*.f64 y #s(literal 3 binary64))))))
(+.f64 z (+.f64 (/.f64 t (*.f64 x (*.f64 y #s(literal 3 binary64)))) (*.f64 (/.f64 y x) #s(literal -1/3 binary64))))
(+.f64 z (-.f64 (*.f64 y (/.f64 #s(literal -1/3 binary64) x)) (/.f64 t (*.f64 x (*.f64 y #s(literal -3 binary64))))))
(+.f64 (-.f64 t (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 x (*.f64 (*.f64 z #s(literal 3 binary64)) y)))
(+.f64 (-.f64 t (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 x (*.f64 y (*.f64 z #s(literal 3 binary64)))))
(+.f64 (+.f64 (/.f64 x (*.f64 z (*.f64 y #s(literal 3 binary64)))) t) (/.f64 y (*.f64 z #s(literal -3 binary64))))
(+.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) t) (/.f64 x (*.f64 z (*.f64 y #s(literal 3 binary64)))))
(-.f64 t (fma.f64 (/.f64 y z) #s(literal 1/3 binary64) (*.f64 x (/.f64 (/.f64 #s(literal -1/3 binary64) z) y))))
(+.f64 t (*.f64 #s(literal -1/3 binary64) (-.f64 (/.f64 y z) (/.f64 (/.f64 x y) z))))
(+.f64 (-.f64 x (/.f64 z (*.f64 y #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 y #s(literal 3 binary64)) z)))
(+.f64 (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64)))) (-.f64 x (/.f64 z (*.f64 y #s(literal 3 binary64)))))
(+.f64 x (+.f64 (/.f64 z (*.f64 #s(literal -3 binary64) y)) (/.f64 t (*.f64 z (*.f64 y #s(literal 3 binary64))))))
(+.f64 x (+.f64 (/.f64 t (*.f64 z (*.f64 y #s(literal 3 binary64)))) (*.f64 z (/.f64 #s(literal -1/3 binary64) y))))
(+.f64 x (*.f64 (/.f64 #s(literal -1/3 binary64) y) (-.f64 z (/.f64 t z))))
(+.f64 (-.f64 x (/.f64 t (*.f64 z #s(literal 3 binary64)))) (/.f64 y (*.f64 (*.f64 z #s(literal 3 binary64)) t)))
(+.f64 (/.f64 y (*.f64 z (*.f64 #s(literal 3 binary64) t))) (+.f64 x (*.f64 #s(literal -1/3 binary64) (/.f64 t z))))
(+.f64 (/.f64 y (*.f64 z (*.f64 #s(literal 3 binary64) t))) (fma.f64 #s(literal -1/3 binary64) (/.f64 t z) x))
(+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 y (*.f64 z t))) (fma.f64 #s(literal -1/3 binary64) (/.f64 t z) x))
(+.f64 x (*.f64 #s(literal -1/3 binary64) (-.f64 (/.f64 t z) (/.f64 y (*.f64 z t)))))
(+.f64 (-.f64 x (/.f64 y (*.f64 t #s(literal 3 binary64)))) (/.f64 z (*.f64 (*.f64 t #s(literal 3 binary64)) y)))
(-.f64 x (-.f64 (/.f64 y (*.f64 #s(literal 3 binary64) t)) (/.f64 z (*.f64 t (*.f64 y #s(literal 3 binary64))))))
(+.f64 (/.f64 (*.f64 y #s(literal -1/3 binary64)) t) (+.f64 x (/.f64 z (*.f64 t (*.f64 y #s(literal 3 binary64))))))
(+.f64 x (+.f64 (/.f64 z (*.f64 t (*.f64 y #s(literal 3 binary64)))) (*.f64 y (/.f64 #s(literal -1/3 binary64) t))))
Compiler

Compiled 19 to 11 computations (42.1% saved)

eval1.0ms (0%)

Compiler

Compiled 4 to 4 computations (0% saved)

prune3.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
96.3%
(+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)))
Compiler

Compiled 38 to 22 computations (42.1% saved)

simplify21.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01861
12461
23361
34561
45461
56061
66261
Stop Event
saturated
Calls
Call 1
Inputs
(+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)))
Outputs
(+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)))
(+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64)))))

soundness1.0ms (0%)

Stop Event
fuel
Compiler

Compiled 19 to 11 computations (42.1% saved)

preprocess136.0ms (1.1%)

Compiler

Compiled 114 to 66 computations (42.1% saved)

end0.0ms (0%)

Profiling

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