Linear.Quaternion:$ctan from linear-1.19.1.3

Time bar (total: 48.4s)

analyze168.0ms (0.3%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
25%25%74.9%0.1%0%0%0%4
37.5%37.4%62.4%0.1%0%0%0%5
37.5%37.4%62.4%0.1%0%0%0%6
56.3%56.2%43.7%0.1%0%0%0%7
65.6%65.5%34.3%0.1%0%0%0%8
65.6%65.5%34.3%0.1%0%0%0%9
76.6%76.5%23.4%0.1%0%0%0%10
82%81.9%17.9%0.1%0%0%0%11
82%81.9%17.9%0.1%0%0%0%12
Compiler

Compiled 12 to 8 computations (33.3% saved)

sample47.8s (98.8%)

Results
2.2s8256×0valid-rival
491.0ms4139×0valid-sollya
4.6s3733×0invalid-sollya
1.9s384×0exit-sollya
Bogosity

preprocess257.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
639×fma-define
385×distribute-lft-neg-in
346×associate-/l*
325×div-sub
319×distribute-rgt-neg-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
039409
1115397
2349397
31259397
44372397
Stop Event
1×node limit
Calls
Call 1
Inputs
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
(/.f64 (*.f64 (cosh.f64 (neg.f64 x)) (/.f64 y (neg.f64 x))) z)
(/.f64 (*.f64 (cosh.f64 x) (/.f64 (neg.f64 y) x)) z)
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) (neg.f64 z))
(neg.f64 (/.f64 (*.f64 (cosh.f64 (neg.f64 x)) (/.f64 y (neg.f64 x))) z))
(neg.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 (neg.f64 y) x)) z))
(neg.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) (neg.f64 z)))
(/.f64 (*.f64 (cosh.f64 y) (/.f64 x y)) z)
(/.f64 (*.f64 (cosh.f64 z) (/.f64 y z)) x)
(/.f64 (*.f64 (cosh.f64 x) (/.f64 z x)) y)
Outputs
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
(*.f64 (cosh.f64 x) (/.f64 (/.f64 y x) z))
(*.f64 (cosh.f64 x) (/.f64 y (*.f64 z x)))
(*.f64 (/.f64 y x) (/.f64 (cosh.f64 x) z))
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
(*.f64 (cosh.f64 x) (/.f64 (/.f64 y x) z))
(*.f64 (cosh.f64 x) (/.f64 y (*.f64 z x)))
(*.f64 (/.f64 y x) (/.f64 (cosh.f64 x) z))
(/.f64 (*.f64 (cosh.f64 (neg.f64 x)) (/.f64 y (neg.f64 x))) z)
(*.f64 (cosh.f64 x) (/.f64 y (*.f64 z (neg.f64 x))))
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) (neg.f64 z))
(*.f64 (cosh.f64 x) (/.f64 (/.f64 y x) (neg.f64 z)))
(/.f64 (*.f64 (cosh.f64 x) (/.f64 (neg.f64 y) x)) z)
(/.f64 (*.f64 (cosh.f64 (neg.f64 x)) (/.f64 y (neg.f64 x))) z)
(*.f64 (cosh.f64 x) (/.f64 y (*.f64 z (neg.f64 x))))
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) (neg.f64 z))
(*.f64 (cosh.f64 x) (/.f64 (/.f64 y x) (neg.f64 z)))
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) (neg.f64 z))
(/.f64 (*.f64 (cosh.f64 (neg.f64 x)) (/.f64 y (neg.f64 x))) z)
(*.f64 (cosh.f64 x) (/.f64 y (*.f64 z (neg.f64 x))))
(*.f64 (cosh.f64 x) (/.f64 (/.f64 y x) (neg.f64 z)))
(neg.f64 (/.f64 (*.f64 (cosh.f64 (neg.f64 x)) (/.f64 y (neg.f64 x))) z))
(*.f64 (cosh.f64 x) (/.f64 (/.f64 y x) z))
(*.f64 (cosh.f64 x) (/.f64 y (*.f64 z x)))
(*.f64 (/.f64 y x) (/.f64 (cosh.f64 x) z))
(neg.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 (neg.f64 y) x)) z))
(*.f64 (cosh.f64 x) (/.f64 (/.f64 y x) z))
(*.f64 (cosh.f64 x) (/.f64 y (*.f64 z x)))
(*.f64 (/.f64 y x) (/.f64 (cosh.f64 x) z))
(neg.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) (neg.f64 z)))
(*.f64 (cosh.f64 x) (/.f64 (/.f64 y x) z))
(*.f64 (cosh.f64 x) (/.f64 y (*.f64 z x)))
(*.f64 (/.f64 y x) (/.f64 (cosh.f64 x) z))
(/.f64 (*.f64 (cosh.f64 y) (/.f64 x y)) z)
(*.f64 (cosh.f64 y) (/.f64 (/.f64 x y) z))
(*.f64 x (/.f64 (cosh.f64 y) (*.f64 y z)))
(/.f64 (*.f64 (cosh.f64 z) (/.f64 y z)) x)
(*.f64 (cosh.f64 z) (/.f64 (/.f64 y z) x))
(*.f64 (cosh.f64 z) (/.f64 y (*.f64 x z)))
(*.f64 (cosh.f64 z) (/.f64 (/.f64 y x) z))
(*.f64 (/.f64 y x) (/.f64 (cosh.f64 z) z))
(/.f64 (*.f64 (cosh.f64 x) (/.f64 z x)) y)
(*.f64 (cosh.f64 x) (/.f64 (/.f64 z x) y))
(/.f64 (*.f64 (cosh.f64 x) z) (*.f64 y x))
(/.f64 (*.f64 (cosh.f64 x) z) (*.f64 x y))
(*.f64 (cosh.f64 x) (/.f64 z (*.f64 x y)))
Symmetry

(negabs x)

(negabs y)

(negabs z)

Compiler

Compiled 11 to 7 computations (36.4% saved)

eval0.0ms (0%)

Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
84.8%
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
Compiler

Compiled 22 to 14 computations (36.4% saved)

simplify3.0ms (0%)

Algorithm
1×egg-herbie
Rules
1×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01435
11535
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
Outputs
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)

soundness20.0ms (0%)

Stop Event
1×fuel
Compiler

Compiled 11 to 7 computations (36.4% saved)

preprocess132.0ms (0.3%)

Remove

(negabs z)

(negabs y)

(negabs x)

Compiler

Compiled 246 to 144 computations (41.5% saved)

end0.0ms (0%)

Profiling

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