Beckmann Distribution sample, tan2theta, alphax == alphay

Time bar (total: 2.6s)

analyze71.0ms (2.8%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%0.2%99.8%0%0%0%0
0%0%0.2%99.8%0%0%0%1
0%0%0.2%99.8%0%0%0%2
50%0.1%0.1%99.8%0%0%0%3
50%0.1%0.1%99.8%0%0%0%4
75%0.1%0%99.8%0%0%0%5
75%0.1%0%99.8%0%0%0%6
87.5%0.1%0%99.8%0%0%0%7
87.5%0.1%0%99.8%0%0%0%8
93.8%0.2%0%99.8%0%0%0%9
93.8%0.2%0%99.8%0%0%0%10
96.9%0.2%0%99.8%0%0%0%11
96.9%0.2%0%99.8%0%0%0%12
Compiler

Compiled 26 to 19 computations (26.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
Operation ival-<=, time spent: 7.0ms, 37.0% of total-time
Operation ival-mult, time spent: 4.0ms, 21.0% of total-time
Operation ival-log, time spent: 3.0ms, 16.0% of total-time
Operation ival-sub, time spent: 2.0ms, 10.0% of total-time
Operation ival-and, time spent: 1.0ms, 5.0% of total-time
Operation const, time spent: 1.0ms, 5.0% of total-time
Operation ival-neg, time spent: 1.0ms, 5.0% of total-time

sample2.3s (89.9%)

Results
2.1s8255×256valid
0.0ms1×256valid
Precisions
Click to see histograms. Total time spent on operations: 795.0ms
Operation ival-log, time spent: 327.0ms, 41.0% of total-time
Operation ival-mult, time spent: 154.0ms, 19.0% of total-time
Operation ival-<=, time spent: 148.0ms, 19.0% of total-time
Operation ival-sub, time spent: 60.0ms, 8.0% of total-time
Operation ival-neg, time spent: 49.0ms, 6.0% of total-time
Operation ival-and, time spent: 30.0ms, 4.0% of total-time
Operation const, time spent: 28.0ms, 4.0% of total-time
Bogosity

preprocess188.0ms (7.3%)

Algorithm
1×egg-herbie
Rules
279×fma-define
105×associate-*r*
83×fma-neg
72×distribute-lft-neg-in
61×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
027268
177222
2195222
3461222
4853222
51182222
61242222
71270222
81276222
91276222
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f32 (*.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0)))
(*.f32 (*.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0)))
(*.f32 (*.f32 (neg.f32 (neg.f32 alpha)) (neg.f32 alpha)) (log.f32 (-.f32 #s(literal 1 binary32) u0)))
(*.f32 (*.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 #s(literal 1 binary32) (neg.f32 u0))))
(neg.f32 (*.f32 (*.f32 (neg.f32 (neg.f32 alpha)) (neg.f32 alpha)) (log.f32 (-.f32 #s(literal 1 binary32) u0))))
(neg.f32 (*.f32 (*.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 #s(literal 1 binary32) (neg.f32 u0)))))
(*.f32 (*.f32 (neg.f32 u0) u0) (log.f32 (-.f32 #s(literal 1 binary32) alpha)))
Outputs
(*.f32 (*.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0)))
(*.f32 alpha (*.f32 (neg.f32 alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0))))
(*.f32 alpha (*.f32 (neg.f32 alpha) (log1p.f32 (neg.f32 u0))))
(*.f32 alpha (*.f32 alpha (neg.f32 (log1p.f32 (neg.f32 u0)))))
(*.f32 (neg.f32 (*.f32 alpha alpha)) (log1p.f32 (neg.f32 u0)))
(*.f32 (*.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0)))
(*.f32 alpha (*.f32 (neg.f32 alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0))))
(*.f32 alpha (*.f32 (neg.f32 alpha) (log1p.f32 (neg.f32 u0))))
(*.f32 alpha (*.f32 alpha (neg.f32 (log1p.f32 (neg.f32 u0)))))
(*.f32 (neg.f32 (*.f32 alpha alpha)) (log1p.f32 (neg.f32 u0)))
(*.f32 (*.f32 (neg.f32 (neg.f32 alpha)) (neg.f32 alpha)) (log.f32 (-.f32 #s(literal 1 binary32) u0)))
(*.f32 alpha (*.f32 (neg.f32 alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0))))
(*.f32 alpha (*.f32 (neg.f32 alpha) (log1p.f32 (neg.f32 u0))))
(*.f32 alpha (*.f32 alpha (neg.f32 (log1p.f32 (neg.f32 u0)))))
(*.f32 (neg.f32 (*.f32 alpha alpha)) (log1p.f32 (neg.f32 u0)))
(*.f32 (*.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 #s(literal 1 binary32) (neg.f32 u0))))
(*.f32 (*.f32 alpha (neg.f32 alpha)) (log.f32 (-.f32 #s(literal 1 binary32) (neg.f32 u0))))
(*.f32 (*.f32 alpha (neg.f32 alpha)) (log1p.f32 u0))
(*.f32 (neg.f32 (*.f32 alpha alpha)) (log1p.f32 u0))
(neg.f32 (*.f32 (*.f32 (neg.f32 (neg.f32 alpha)) (neg.f32 alpha)) (log.f32 (-.f32 #s(literal 1 binary32) u0))))
(*.f32 (*.f32 alpha (neg.f32 alpha)) (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u0))))
(*.f32 (log1p.f32 (neg.f32 u0)) (*.f32 alpha alpha))
(neg.f32 (*.f32 (*.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 #s(literal 1 binary32) (neg.f32 u0)))))
(*.f32 (*.f32 alpha (neg.f32 alpha)) (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) (neg.f32 u0)))))
(*.f32 alpha (*.f32 alpha (log1p.f32 u0)))
(*.f32 (*.f32 (neg.f32 u0) u0) (log.f32 (-.f32 #s(literal 1 binary32) alpha)))
(*.f32 (neg.f32 u0) (*.f32 u0 (log.f32 (-.f32 #s(literal 1 binary32) alpha))))
(*.f32 (neg.f32 u0) (*.f32 u0 (log1p.f32 (neg.f32 alpha))))
Symmetry

(abs alpha)

Compiler

Compiled 29 to 15 computations (48.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 31.0ms
Operation ival-log, time spent: 17.0ms, 55.0% of total-time
Operation ival-mult, time spent: 7.0ms, 22.0% of total-time
Operation ival-sub, time spent: 4.0ms, 13.0% of total-time
Operation const, time spent: 1.0ms, 3.0% of total-time
Operation ival-neg, time spent: 1.0ms, 3.0% of total-time

end0.0ms (0%)

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