Data.Array.Repa.Algorithms.ColorRamp:rampColorHotToCold from repa-algorithms-3.4.0.1, A

Time bar (total: 5.4s)

analyze103.0ms (1.9%)

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
50%49.9%49.9%0.1%0%0%0%3
50%49.9%49.9%0.1%0%0%0%4
50%49.9%49.9%0.1%0%0%0%5
75%74.9%25%0.1%0%0%0%6
75%74.9%25%0.1%0%0%0%7
75%74.9%25%0.1%0%0%0%8
87.5%87.4%12.5%0.1%0%0%0%9
87.5%87.4%12.5%0.1%0%0%0%10
87.5%87.4%12.5%0.1%0%0%0%11
93.8%93.6%6.2%0.1%0%0%0%12
Compiler

Compiled 17 to 13 computations (23.5% saved)

sample5.0s (93.1%)

Results
1.3s8256×0valid-rival
781.0ms8253×0valid-sollya
15.0ms3×0exit-sollya
Bogosity

preprocess198.0ms (3.7%)

Algorithm
1×egg-herbie
Rules
783×fma-neg
683×div-sub
374×fma-define
292×associate-/r*
263×associate--r+
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
057591
1144491
2439459
31309455
43867406
Stop Event
1×node limit
Calls
Call 1
Inputs
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 (neg.f64 x) (*.f64 y #s(literal 3/4 binary64))) z)) y))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 (neg.f64 y) #s(literal 3/4 binary64))) z)) (neg.f64 y)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) (neg.f64 z))) y))
(neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 (neg.f64 x) (*.f64 y #s(literal 3/4 binary64))) z)) y)))
(neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 (neg.f64 y) #s(literal 3/4 binary64))) z)) (neg.f64 y))))
(neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) (neg.f64 z))) y)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 y (*.f64 x #s(literal 3/4 binary64))) z)) x))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 z (*.f64 y #s(literal 3/4 binary64))) x)) y))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 z #s(literal 3/4 binary64))) y)) z))
Outputs
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (/.f64 (+.f64 x (-.f64 (*.f64 y #s(literal 3/4 binary64)) z)) y)))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z) y) #s(literal 1 binary64))
(fma.f64 #s(literal 4 binary64) (+.f64 #s(literal 3/4 binary64) (/.f64 (-.f64 x z) y)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (/.f64 (+.f64 x (-.f64 (*.f64 y #s(literal 3/4 binary64)) z)) y)))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z) y) #s(literal 1 binary64))
(fma.f64 #s(literal 4 binary64) (+.f64 #s(literal 3/4 binary64) (/.f64 (-.f64 x z) y)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 (neg.f64 x) (*.f64 y #s(literal 3/4 binary64))) z)) y))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (+.f64 (neg.f64 x) (-.f64 (*.f64 y #s(literal 3/4 binary64)) z))) y))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 (-.f64 (*.f64 y #s(literal 3/4 binary64)) x) z) y) #s(literal 1 binary64))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 (-.f64 (*.f64 y #s(literal 3/4 binary64)) z) x) y) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (+.f64 z (fma.f64 y #s(literal -3/4 binary64) x)) y)))
(fma.f64 #s(literal 4 binary64) (-.f64 #s(literal 3/4 binary64) (/.f64 (+.f64 x z) y)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 (neg.f64 y) #s(literal 3/4 binary64))) z)) (neg.f64 y)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 (+.f64 x (*.f64 #s(literal 3/4 binary64) (neg.f64 y))) z) (neg.f64 y))))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (/.f64 (+.f64 x (-.f64 (*.f64 y #s(literal -3/4 binary64)) z)) y)))
(fma.f64 (-.f64 x (fma.f64 y #s(literal 3/4 binary64) z)) (/.f64 #s(literal -4 binary64) y) #s(literal 1 binary64))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 z (fma.f64 y #s(literal -3/4 binary64) x)) y) #s(literal 1 binary64))
(fma.f64 #s(literal 4 binary64) (-.f64 #s(literal 3/4 binary64) (/.f64 (-.f64 x z) y)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) (neg.f64 z))) y))
(fma.f64 #s(literal 4 binary64) (/.f64 (+.f64 x (fma.f64 y #s(literal 3/4 binary64) z)) y) #s(literal 1 binary64))
(fma.f64 #s(literal 4 binary64) (+.f64 #s(literal 3/4 binary64) (/.f64 (+.f64 x z) y)) #s(literal 1 binary64))
(neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 (neg.f64 x) (*.f64 y #s(literal 3/4 binary64))) z)) y)))
(+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 #s(literal 4 binary64) (+.f64 (neg.f64 x) (-.f64 (*.f64 y #s(literal 3/4 binary64)) z))) y)))
(-.f64 #s(literal -1 binary64) (*.f64 (-.f64 (-.f64 (*.f64 y #s(literal 3/4 binary64)) x) z) (/.f64 #s(literal 4 binary64) y)))
(fma.f64 #s(literal -4 binary64) (/.f64 (-.f64 (-.f64 (*.f64 y #s(literal 3/4 binary64)) z) x) y) #s(literal -1 binary64))
(fma.f64 #s(literal 4 binary64) (/.f64 (+.f64 z (fma.f64 y #s(literal -3/4 binary64) x)) y) #s(literal -1 binary64))
(fma.f64 #s(literal 4 binary64) (+.f64 #s(literal -3/4 binary64) (/.f64 (+.f64 x z) y)) #s(literal -1 binary64))
(neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 (neg.f64 y) #s(literal 3/4 binary64))) z)) (neg.f64 y))))
(neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 (+.f64 x (*.f64 #s(literal 3/4 binary64) (neg.f64 y))) z) (neg.f64 y)))))
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (/.f64 (+.f64 x (-.f64 (*.f64 y #s(literal -3/4 binary64)) z)) y)))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x (fma.f64 y #s(literal 3/4 binary64) z)) y) #s(literal -1 binary64))
(fma.f64 (-.f64 #s(literal 3/4 binary64) (/.f64 (-.f64 x z) y)) #s(literal -4 binary64) #s(literal -1 binary64))
(neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) (neg.f64 z))) y)))
(+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) (neg.f64 z))) y)))
(-.f64 #s(literal -1 binary64) (*.f64 (+.f64 x (fma.f64 y #s(literal 3/4 binary64) z)) (/.f64 #s(literal 4 binary64) y)))
(fma.f64 #s(literal -4 binary64) (/.f64 (+.f64 x (fma.f64 y #s(literal 3/4 binary64) z)) y) #s(literal -1 binary64))
(fma.f64 (+.f64 x (fma.f64 y #s(literal 3/4 binary64) z)) (/.f64 #s(literal -4 binary64) y) #s(literal -1 binary64))
(fma.f64 #s(literal 4 binary64) (-.f64 #s(literal -3/4 binary64) (/.f64 (+.f64 x z) y)) #s(literal -1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 y (*.f64 x #s(literal 3/4 binary64))) z)) x))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 (fma.f64 x #s(literal 3/4 binary64) y) z) x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 z (*.f64 y #s(literal 3/4 binary64))) x)) y))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 (+.f64 x (*.f64 #s(literal 3/4 binary64) (neg.f64 y))) z) (neg.f64 y))))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (/.f64 (+.f64 x (-.f64 (*.f64 y #s(literal -3/4 binary64)) z)) y)))
(fma.f64 (-.f64 x (fma.f64 y #s(literal 3/4 binary64) z)) (/.f64 #s(literal -4 binary64) y) #s(literal 1 binary64))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 z (fma.f64 y #s(literal -3/4 binary64) x)) y) #s(literal 1 binary64))
(fma.f64 #s(literal 4 binary64) (-.f64 #s(literal 3/4 binary64) (/.f64 (-.f64 x z) y)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 z #s(literal 3/4 binary64))) y)) z))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (+.f64 x (-.f64 (*.f64 #s(literal 3/4 binary64) z) y))) z))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) z x) y) z) #s(literal 1 binary64))
(fma.f64 #s(literal -4 binary64) (/.f64 (-.f64 (fma.f64 z #s(literal -3/4 binary64) y) x) z) #s(literal 1 binary64))
Compiler

Compiled 16 to 12 computations (25% saved)

eval1.0ms (0%)

Compiler

Compiled 3 to 3 computations (0% saved)

prune3.0ms (0.1%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y))
Compiler

Compiled 32 to 24 computations (25% saved)

simplify7.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
4×+-commutative
3×1-exp
3×*-commutative
2×sub-neg
1×neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01849
13049
23449
33649
43749
Stop Event
1×saturated
Calls
Call 1
Inputs
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y))
Outputs
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y))

soundness1.0ms (0%)

Stop Event
1×fuel
Compiler

Compiled 16 to 12 computations (25% saved)

preprocess58.0ms (1.1%)

Compiler

Compiled 64 to 48 computations (25% saved)

end0.0ms (0%)

Profiling

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