GTR1 distribution

Time bar (total: 13.8s)

analyze71.0ms (0.5%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%0.6%99.4%0%0%0%0
0%0%0.6%99.4%0%0%0%1
0%0%0.6%99.4%0%0%0%2
50%0.3%0.3%99.4%0%0%0%3
50%0.3%0.3%99.4%0%0%0%4
75%0.5%0.2%99.4%0%0%0%5
75%0.5%0.2%99.4%0%0%0%6
87.5%0.6%0.1%99.4%0%0%0%7
87.5%0.6%0.1%99.4%0%0%0%8
93.8%0.6%0%99.4%0%0%0%9
93.8%0.6%0%99.4%0%0%0%10
96.9%0.6%0%99.4%0%0%0%11
96.9%0.6%0%99.4%0%0%0%12
Compiler

Compiled 41 to 27 computations (34.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
Operation ival-mult, time spent: 7.0ms, 27.0% of total-time
Operation ival-sub, time spent: 5.0ms, 19.0% of total-time
Operation ival-log, time spent: 4.0ms, 16.0% of total-time
Operation ival-<=, time spent: 4.0ms, 16.0% of total-time
Operation ival-pi, time spent: 1.0ms, 4.0% of total-time
Operation ival-div, time spent: 1.0ms, 4.0% of total-time
Operation ival-add, time spent: 1.0ms, 4.0% of total-time
Operation ival-and, time spent: 1.0ms, 4.0% of total-time
Operation const, time spent: 1.0ms, 4.0% of total-time

sample2.4s (17.4%)

Results
1.8s8256×256valid
Precisions
Click to see histograms. Total time spent on operations: 1.1s
Operation ival-mult, time spent: 318.0ms, 30.0% of total-time
Operation ival-log, time spent: 192.0ms, 18.0% of total-time
Operation ival-<=, time spent: 179.0ms, 17.0% of total-time
Operation ival-sub, time spent: 145.0ms, 14.0% of total-time
Operation ival-div, time spent: 73.0ms, 7.0% of total-time
Operation ival-add, time spent: 52.0ms, 5.0% of total-time
Operation ival-pi, time spent: 44.0ms, 4.0% of total-time
Operation const, time spent: 35.0ms, 3.0% of total-time
Operation ival-and, time spent: 30.0ms, 3.0% of total-time
Bogosity

preprocess416.0ms (3%)

Algorithm
1×egg-herbie
Rules
1368×fma-define
1072×distribute-lft-neg-in
946×distribute-rgt-neg-in
922×times-frac
736×div-sub
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))
00-0-(*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta)
00-0-(*.f32 alpha alpha)
00-0-(log.f32 (*.f32 alpha alpha))
00-0-(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))
00-0-(*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)
00-0-(*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))
00-0-(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
00-0-alpha
00-0-cosTheta
00-0-(PI.f32)
00-0-#s(literal 1 binary32)
00-0-(*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
046647
1179603
2680603
33727603
Stop Event
1×node limit
Calls
Call 1
Inputs
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (neg.f32 cosTheta)) (neg.f32 cosTheta)))))
(/.f32 (-.f32 (*.f32 (neg.f32 alpha) (neg.f32 alpha)) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 (neg.f32 alpha) (neg.f32 alpha)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 (neg.f32 alpha) (neg.f32 alpha)) #s(literal 1 binary32)) cosTheta) cosTheta))))
(neg.f32 (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (neg.f32 cosTheta)) (neg.f32 cosTheta))))))
(neg.f32 (/.f32 (-.f32 (*.f32 (neg.f32 alpha) (neg.f32 alpha)) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 (neg.f32 alpha) (neg.f32 alpha)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 (neg.f32 alpha) (neg.f32 alpha)) #s(literal 1 binary32)) cosTheta) cosTheta)))))
(/.f32 (-.f32 (*.f32 cosTheta cosTheta) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 cosTheta cosTheta))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 cosTheta cosTheta) #s(literal 1 binary32)) alpha) alpha))))
Outputs
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 (*.f32 alpha alpha)) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta))))))
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 (*.f32 alpha alpha)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 (*.f32 alpha alpha)) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta))))))
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 (*.f32 alpha alpha)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (neg.f32 cosTheta)) (neg.f32 cosTheta)))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 (*.f32 alpha alpha)) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta))))))
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 (*.f32 alpha alpha)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))))
(/.f32 (-.f32 (*.f32 (neg.f32 alpha) (neg.f32 alpha)) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 (neg.f32 alpha) (neg.f32 alpha)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 (neg.f32 alpha) (neg.f32 alpha)) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 (*.f32 alpha alpha)) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta))))))
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 (*.f32 alpha alpha)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))))
(neg.f32 (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (neg.f32 cosTheta)) (neg.f32 cosTheta))))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (neg.f32 (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (neg.f32 cosTheta) (neg.f32 cosTheta)))))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (neg.f32 (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)) (neg.f32 (log.f32 (*.f32 alpha alpha))))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 (*.f32 alpha alpha)) (-.f32 #s(literal -1 binary32) (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta))))))
(neg.f32 (/.f32 (-.f32 (*.f32 (neg.f32 alpha) (neg.f32 alpha)) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 (neg.f32 alpha) (neg.f32 alpha)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 (neg.f32 alpha) (neg.f32 alpha)) #s(literal 1 binary32)) cosTheta) cosTheta)))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (neg.f32 (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (neg.f32 cosTheta) (neg.f32 cosTheta)))))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (neg.f32 (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)) (neg.f32 (log.f32 (*.f32 alpha alpha))))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 (*.f32 alpha alpha)) (-.f32 #s(literal -1 binary32) (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta))))))
(/.f32 (-.f32 (*.f32 cosTheta cosTheta) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 cosTheta cosTheta))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 cosTheta cosTheta) #s(literal 1 binary32)) alpha) alpha))))
(/.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 (*.f32 cosTheta cosTheta)) (+.f32 #s(literal 1 binary32) (*.f32 alpha (*.f32 alpha (fma.f32 cosTheta cosTheta #s(literal -1 binary32))))))))
(/.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 cosTheta cosTheta))) (fma.f32 alpha (*.f32 alpha (fma.f32 cosTheta cosTheta #s(literal -1 binary32))) #s(literal 1 binary32))))
(/.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (*.f32 (log.f32 (*.f32 cosTheta cosTheta)) (*.f32 (PI.f32) (fma.f32 (*.f32 alpha alpha) (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) #s(literal 1 binary32)))))
Symmetry

(abs cosTheta)

(abs alpha)

Results
222.0ms512×256valid
Compiler

Compiled 214 to 96 computations (55.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 92.0ms
Operation ival-mult, time spent: 46.0ms, 50.0% of total-time
Operation ival-sub, time spent: 18.0ms, 19.0% of total-time
Operation ival-log, time spent: 9.0ms, 10.0% of total-time
Operation ival-add, time spent: 9.0ms, 10.0% of total-time
Operation ival-div, time spent: 5.0ms, 5.0% of total-time
Operation const, time spent: 4.0ms, 4.0% of total-time
Operation ival-pi, time spent: 2.0ms, 2.0% of total-time

eval1.0ms (0%)

Compiler

Compiled 66 to 35 computations (47% saved)

prune2.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶98.5%
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 (*.f32 alpha alpha)) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta))))))
▶98.5%
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))
▶98.6%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
Compiler

Compiled 73 to 47 computations (35.6% saved)

localize540.0ms (3.9%)

Localize:

Found 12 expressions with local error:

NewAccuracyProgram
✓99.6%
(*.f32 cosTheta (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta))
✓99.4%
(*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta)
✓99.0%
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 (*.f32 alpha alpha)) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta))))))
✓98.9%
(*.f32 (PI.f32) (*.f32 (log.f32 (*.f32 alpha alpha)) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta)))))
✓99.9%
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))
✓99.7%
(log.f32 (*.f32 alpha alpha))
✓99.1%
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
✓98.9%
(*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))
✓99.6%
(*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)
✓99.4%
(*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta)
✓99.0%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
✓98.9%
(*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))
Results
391.0ms256×256valid
Compiler

Compiled 254 to 103 computations (59.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 195.0ms
Operation ival-mult, time spent: 83.0ms, 43.0% of total-time
Operation composed, time spent: 53.0ms, 27.0% of total-time
Operation ival-add, time spent: 29.0ms, 15.0% of total-time
Operation ival-div, time spent: 10.0ms, 5.0% of total-time
Operation ival-sub, time spent: 9.0ms, 5.0% of total-time
Operation ival-log, time spent: 5.0ms, 3.0% of total-time
Operation const, time spent: 5.0ms, 3.0% of total-time
Operation ival-pi, time spent: 1.0ms, 1.0% of total-time

series110.0ms (0.8%)

Counts
12 → 240
Calls
Call 1
Inputs
#<alt (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))>
#<alt (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))>
#<alt (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta)>
#<alt (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)>
#<alt (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))>
#<alt (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))>
#<alt (log.f32 (*.f32 alpha alpha))>
#<alt (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))>
#<alt (*.f32 (PI.f32) (*.f32 (log.f32 (*.f32 alpha alpha)) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta)))))>
#<alt (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 (*.f32 alpha alpha)) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta))))))>
#<alt (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta)>
#<alt (*.f32 cosTheta (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta))>
Outputs
#<alt (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 alpha)))>
#<alt (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 alpha)))>
#<alt (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 alpha)))>
#<alt (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 alpha)))>
#<alt (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))>
#<alt (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))>
#<alt (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))>
#<alt (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))>
#<alt (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))>
#<alt (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))>
#<alt (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))>
#<alt (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))>
#<alt (/.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))>
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#<alt (/.f32 #s(literal -1/2 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))>
#<alt (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))) (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))))))>
#<alt (-.f32 (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))) (*.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))))) (*.f32 (pow.f32 alpha #s(literal 4 binary32)) (pow.f32 cosTheta #s(literal 2 binary32))))) (/.f32 #s(literal 1/2 binary32) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))))) (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))))))>
#<alt (-.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))) (/.f32 (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))) (*.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))))) (*.f32 (pow.f32 alpha #s(literal 6 binary32)) (pow.f32 cosTheta #s(literal 4 binary32))))) (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))))) (+.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))) (*.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))))) (*.f32 (pow.f32 alpha #s(literal 4 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)))))))>
#<alt (/.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) (*.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32)))))>
#<alt (-.f32 (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32)))))) (/.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32)))))) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32))))))>
#<alt (-.f32 (+.f32 (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (/.f32 (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 3 binary32))) (*.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32))))) (/.f32 (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32))))))) (/.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32)))))) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32))))))>
#<alt (-.f32 (+.f32 (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 4 binary32))) (*.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32)))))) (*.f32 #s(literal -1 binary32) (/.f32 (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 3 binary32)) (*.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32)))))))) (/.f32 (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32))))))) (/.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32)))))) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32))))))>
#<alt (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32))))))>
#<alt (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32))))) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 (pow.f32 alpha #s(literal 2 binary32))) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32))))))) (pow.f32 cosTheta #s(literal 2 binary32)))>
#<alt (/.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32))))) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 (pow.f32 alpha #s(literal 2 binary32))) (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 2 binary32))))))) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 (pow.f32 alpha #s(literal 2 binary32))) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32))))))) (pow.f32 cosTheta #s(literal 2 binary32)))>
#<alt (/.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32))))) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 (pow.f32 alpha #s(literal 2 binary32))) (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 2 binary32))))))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 (pow.f32 alpha #s(literal 2 binary32))) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)))))) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 6 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 (pow.f32 alpha #s(literal 2 binary32))) (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 3 binary32)))))))) (pow.f32 cosTheta #s(literal 2 binary32)))>
#<alt (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32))))))>
#<alt (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32))))) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 (pow.f32 alpha #s(literal 2 binary32))) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32))))))) (pow.f32 cosTheta #s(literal 2 binary32)))>
#<alt (/.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32))))) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 (pow.f32 alpha #s(literal 2 binary32))) (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 2 binary32))))))) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 (pow.f32 alpha #s(literal 2 binary32))) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32))))))) (pow.f32 cosTheta #s(literal 2 binary32)))>
#<alt (/.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32))))) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 (pow.f32 alpha #s(literal 2 binary32))) (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 2 binary32))))))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 (pow.f32 alpha #s(literal 2 binary32))) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)))))) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 6 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 (pow.f32 alpha #s(literal 2 binary32))) (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 3 binary32)))))))) (pow.f32 cosTheta #s(literal 2 binary32)))>
#<alt (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))>
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#<alt (*.f32 #s(literal -2 binary32) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))))>
#<alt (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -2 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))) (*.f32 #s(literal -2 binary32) (/.f32 (*.f32 (PI.f32) (*.f32 (log.f32 (/.f32 #s(literal 1 binary32) alpha)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))) (pow.f32 alpha #s(literal 2 binary32))))))>
#<alt (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -2 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))) (*.f32 #s(literal -2 binary32) (/.f32 (*.f32 (PI.f32) (*.f32 (log.f32 (/.f32 #s(literal 1 binary32) alpha)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))) (pow.f32 alpha #s(literal 2 binary32))))))>
#<alt (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -2 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))) (*.f32 #s(literal -2 binary32) (/.f32 (*.f32 (PI.f32) (*.f32 (log.f32 (/.f32 #s(literal 1 binary32) alpha)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))) (pow.f32 alpha #s(literal 2 binary32))))))>
#<alt (*.f32 #s(literal -2 binary32) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))))>
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#<alt (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -2 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))) (*.f32 #s(literal -2 binary32) (/.f32 (*.f32 (PI.f32) (*.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))) (pow.f32 alpha #s(literal 2 binary32))))))>
#<alt (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -2 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))) (*.f32 #s(literal -2 binary32) (/.f32 (*.f32 (PI.f32) (*.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))) (pow.f32 alpha #s(literal 2 binary32))))))>
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#<alt (+.f32 (*.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32)))) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 (pow.f32 alpha #s(literal 2 binary32))) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32))))))>
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#<alt (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 (*.f32 (PI.f32) (*.f32 (log.f32 (pow.f32 alpha #s(literal 2 binary32))) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)))) (/.f32 (*.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32)))) (pow.f32 cosTheta #s(literal 2 binary32)))))>
#<alt (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 (*.f32 (PI.f32) (*.f32 (log.f32 (pow.f32 alpha #s(literal 2 binary32))) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)))) (/.f32 (*.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32)))) (pow.f32 cosTheta #s(literal 2 binary32)))))>
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#<alt (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 (*.f32 (PI.f32) (*.f32 (log.f32 (pow.f32 alpha #s(literal 2 binary32))) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)))) (/.f32 (*.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32)))) (pow.f32 cosTheta #s(literal 2 binary32)))))>
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#<alt (/.f32 #s(literal -1/2 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))>
#<alt (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))) (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))))))>
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#<alt (/.f32 #s(literal -1/2 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))>
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#<alt (-.f32 (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32)))))) (/.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32)))))) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32))))))>
#<alt (-.f32 (+.f32 (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (/.f32 (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 3 binary32))) (*.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32))))) (/.f32 (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32))))))) (/.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32)))))) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32))))))>
#<alt (-.f32 (+.f32 (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 4 binary32))) (*.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32)))))) (*.f32 #s(literal -1 binary32) (/.f32 (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 3 binary32)) (*.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32)))))))) (/.f32 (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32))))))) (/.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32)))))) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32))))))>
#<alt (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32))))))>
#<alt (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32))))) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 (pow.f32 alpha #s(literal 2 binary32))) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32))))))) (pow.f32 cosTheta #s(literal 2 binary32)))>
#<alt (/.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32))))) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 (pow.f32 alpha #s(literal 2 binary32))) (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 2 binary32))))))) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 (pow.f32 alpha #s(literal 2 binary32))) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32))))))) (pow.f32 cosTheta #s(literal 2 binary32)))>
#<alt (/.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32))))) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 (pow.f32 alpha #s(literal 2 binary32))) (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 2 binary32))))))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 (pow.f32 alpha #s(literal 2 binary32))) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)))))) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 6 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 (pow.f32 alpha #s(literal 2 binary32))) (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 3 binary32)))))))) (pow.f32 cosTheta #s(literal 2 binary32)))>
#<alt (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32))))))>
#<alt (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32))))) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 (pow.f32 alpha #s(literal 2 binary32))) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32))))))) (pow.f32 cosTheta #s(literal 2 binary32)))>
#<alt (/.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32))))) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 (pow.f32 alpha #s(literal 2 binary32))) (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 2 binary32))))))) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 (pow.f32 alpha #s(literal 2 binary32))) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32))))))) (pow.f32 cosTheta #s(literal 2 binary32)))>
#<alt (/.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32))))) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 (pow.f32 alpha #s(literal 2 binary32))) (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 2 binary32))))))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 (pow.f32 alpha #s(literal 2 binary32))) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)))))) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 6 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 (pow.f32 alpha #s(literal 2 binary32))) (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 3 binary32)))))))) (pow.f32 cosTheta #s(literal 2 binary32)))>
#<alt (*.f32 #s(literal -1 binary32) cosTheta)>
#<alt (+.f32 (*.f32 #s(literal -1 binary32) cosTheta) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) cosTheta))>
#<alt (+.f32 (*.f32 #s(literal -1 binary32) cosTheta) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) cosTheta))>
#<alt (+.f32 (*.f32 #s(literal -1 binary32) cosTheta) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) cosTheta))>
#<alt (*.f32 (pow.f32 alpha #s(literal 2 binary32)) cosTheta)>
#<alt (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (+.f32 cosTheta (*.f32 #s(literal -1 binary32) (/.f32 cosTheta (pow.f32 alpha #s(literal 2 binary32))))))>
#<alt (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (+.f32 cosTheta (*.f32 #s(literal -1 binary32) (/.f32 cosTheta (pow.f32 alpha #s(literal 2 binary32))))))>
#<alt (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (+.f32 cosTheta (*.f32 #s(literal -1 binary32) (/.f32 cosTheta (pow.f32 alpha #s(literal 2 binary32))))))>
#<alt (*.f32 (pow.f32 alpha #s(literal 2 binary32)) cosTheta)>
#<alt (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (+.f32 cosTheta (*.f32 #s(literal -1 binary32) (/.f32 cosTheta (pow.f32 alpha #s(literal 2 binary32))))))>
#<alt (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (+.f32 cosTheta (*.f32 #s(literal -1 binary32) (/.f32 cosTheta (pow.f32 alpha #s(literal 2 binary32))))))>
#<alt (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (+.f32 cosTheta (*.f32 #s(literal -1 binary32) (/.f32 cosTheta (pow.f32 alpha #s(literal 2 binary32))))))>
#<alt (*.f32 cosTheta (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)))>
#<alt (*.f32 cosTheta (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)))>
#<alt (*.f32 cosTheta (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)))>
#<alt (*.f32 cosTheta (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)))>
#<alt (*.f32 cosTheta (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)))>
#<alt (*.f32 cosTheta (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)))>
#<alt (*.f32 cosTheta (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)))>
#<alt (*.f32 cosTheta (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)))>
#<alt (*.f32 cosTheta (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)))>
#<alt (*.f32 cosTheta (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)))>
#<alt (*.f32 cosTheta (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)))>
#<alt (*.f32 cosTheta (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)))>
#<alt (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)))>
#<alt (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)))>
#<alt (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)))>
#<alt (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)))>
#<alt (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)))>
#<alt (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)))>
#<alt (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)))>
#<alt (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)))>
#<alt (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)))>
#<alt (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)))>
#<alt (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)))>
#<alt (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)))>
#<alt (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))>
#<alt (+.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (pow.f32 cosTheta #s(literal 2 binary32))))>
#<alt (+.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (pow.f32 cosTheta #s(literal 2 binary32))))>
#<alt (+.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (pow.f32 cosTheta #s(literal 2 binary32))))>
#<alt (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)))>
#<alt (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (pow.f32 alpha #s(literal 2 binary32)))) (pow.f32 cosTheta #s(literal 2 binary32))))>
#<alt (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (pow.f32 alpha #s(literal 2 binary32)))) (pow.f32 cosTheta #s(literal 2 binary32))))>
#<alt (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (pow.f32 alpha #s(literal 2 binary32)))) (pow.f32 cosTheta #s(literal 2 binary32))))>
#<alt (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)))>
#<alt (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (pow.f32 alpha #s(literal 2 binary32)))) (pow.f32 cosTheta #s(literal 2 binary32))))>
#<alt (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (pow.f32 alpha #s(literal 2 binary32)))) (pow.f32 cosTheta #s(literal 2 binary32))))>
#<alt (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (pow.f32 alpha #s(literal 2 binary32)))) (pow.f32 cosTheta #s(literal 2 binary32))))>
Calls

60 calls:

TimeVariablePointExpression
28.0ms
alpha
@0
(* (PI) (log (* alpha alpha)))
16.0ms
alpha
@-inf
(* (PI) (log (* alpha alpha)))
12.0ms
cosTheta
@0
(* (PI) (* (log (* alpha alpha)) (+ 1 (* cosTheta (* (+ (* alpha alpha) -1) cosTheta)))))
7.0ms
alpha
@inf
(* (PI) (log (* alpha alpha)))
2.0ms
alpha
@inf
(/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))))

rewrite381.0ms (2.8%)

Algorithm
1×batch-egg-rewrite
Rules
1183×log1p-expm1-u
356×associate-*r*
294×times-frac
282×associate-*l*
173×expm1-log1p-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032504
1539504
25988504
Stop Event
1×node limit
Counts
12 → 459
Calls
Call 1
Inputs
(*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta)
(*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)
(*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(log.f32 (*.f32 alpha alpha))
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))
(*.f32 (PI.f32) (*.f32 (log.f32 (*.f32 alpha alpha)) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta)))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 (*.f32 alpha alpha)) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta))))))
(*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta)
(*.f32 cosTheta (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta))
Outputs
(+.f32 (*.f32 (PI.f32) (log.f32 alpha)) (*.f32 (PI.f32) (log.f32 alpha)))
(+.f32 (*.f32 (log.f32 alpha) (PI.f32)) (*.f32 (log.f32 alpha) (PI.f32)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))))) #s(literal 1 binary32))
(pow.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) #s(literal 2 binary32)))
(log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32)))
(log.f32 (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32)) #s(literal 1 binary32))))
(cbrt.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (pow.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))))
(log1p.f32 (-.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32)) #s(literal 1 binary32)))
(exp.f32 (log.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))))
(exp.f32 (*.f32 (log.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))) #s(literal 1 binary32)))
(+.f32 (/.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32))))) (neg.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))))))
(-.f32 (/.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32))))) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32))))))
(-.f32 (exp.f32 (log1p.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32))))))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32))))))
(*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32))))))
(*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))))
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(pow.f32 (sqrt.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))))) #s(literal 2 binary32))
(pow.f32 (*.f32 (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)) (*.f32 (PI.f32) (/.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) (fma.f32 alpha alpha #s(literal -1 binary32))))) #s(literal -1 binary32))
(neg.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) (neg.f32 (PI.f32))))))
(neg.f32 (/.f32 (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (neg.f32 (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))))
(neg.f32 (/.f32 (neg.f32 (fma.f32 alpha alpha #s(literal -1 binary32))) (*.f32 (PI.f32) (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32))))))
(neg.f32 (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) (neg.f32 (PI.f32)))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32))))
(sqrt.f32 (pow.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32))))) #s(literal 2 binary32)))
(log.f32 (exp.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32))))))))
(cbrt.f32 (pow.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32))))) #s(literal 3 binary32)))
(cbrt.f32 (/.f32 (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 3 binary32)) (pow.f32 (*.f32 (PI.f32) (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))) #s(literal 3 binary32))))
(cbrt.f32 (/.f32 (pow.f32 (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) #s(literal 3 binary32)) (pow.f32 (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))))))
(log1p.f32 (expm1.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))))))
(exp.f32 (log.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))))))
(exp.f32 (*.f32 (log.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))))) #s(literal 1 binary32)))
(+.f32 (*.f32 cosTheta (pow.f32 alpha #s(literal 2 binary32))) (*.f32 cosTheta #s(literal -1 binary32)))
(+.f32 (*.f32 (pow.f32 alpha #s(literal 2 binary32)) cosTheta) (*.f32 #s(literal -1 binary32) cosTheta))
(-.f32 (exp.f32 (log1p.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))))) #s(literal 1 binary32))
(/.f32 (*.f32 cosTheta (+.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal -1 binary32))) (+.f32 (pow.f32 alpha #s(literal 4 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32))))
(/.f32 (*.f32 cosTheta (+.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal -1 binary32))) (fma.f32 alpha alpha #s(literal 1 binary32)))
(/.f32 (*.f32 (+.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal -1 binary32)) cosTheta) (+.f32 (pow.f32 alpha #s(literal 4 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32))))
(/.f32 (*.f32 (+.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal -1 binary32)) cosTheta) (fma.f32 alpha alpha #s(literal 1 binary32)))
(pow.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal 2 binary32)))
(log.f32 (pow.f32 (exp.f32 (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))))))
(cbrt.f32 (pow.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 3 binary32)) (pow.f32 cosTheta #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))))
(log1p.f32 (expm1.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))))
(exp.f32 (log.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))))
(exp.f32 (*.f32 (log.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))) #s(literal 1 binary32)))
(-.f32 (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32))
(/.f32 (*.f32 (+.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32))) (+.f32 (pow.f32 alpha #s(literal 4 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32))))
(/.f32 (*.f32 (+.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32))) (fma.f32 alpha alpha #s(literal 1 binary32)))
(pow.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (*.f32 (sqrt.f32 (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta) #s(literal 2 binary32))
(sqrt.f32 (*.f32 (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 2 binary32)) (pow.f32 cosTheta #s(literal 4 binary32))))
(log.f32 (pow.f32 (exp.f32 (fma.f32 alpha alpha #s(literal -1 binary32))) (pow.f32 cosTheta #s(literal 2 binary32))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32))))))
(cbrt.f32 (pow.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32))) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)))))
(log1p.f32 (expm1.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)))))
(exp.f32 (log.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)))))
(exp.f32 (*.f32 (log.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 1 binary32)))

simplify426.0ms (3.1%)

Algorithm
1×egg-herbie
Rules
1230×associate-/r*
1190×associate-*r*
1056×associate-*l*
838×times-frac
718×associate-*r/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
076464872
1205864872
Stop Event
1×node limit
Counts
699 → 357
Calls
Call 1
Inputs
(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 alpha)))
(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 alpha)))
(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 alpha)))
(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 alpha)))
(*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))
(*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))
(*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))
(*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))
(*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))
(*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))
(*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))
(*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))
(/.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))
(-.f32 (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))) (*.f32 #s(literal -1/2 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32)))))))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))))
(-.f32 (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))) (*.f32 #s(literal -1/2 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32))))))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))))))) (*.f32 #s(literal -1/2 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32)))))))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))))
(-.f32 (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 (/.f32 (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))) (*.f32 #s(literal -1/2 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32))))))))) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32))) (/.f32 (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))) (*.f32 #s(literal -1/2 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32)))))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))) (*.f32 #s(literal -1/2 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32)))))))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))))
(/.f32 #s(literal -1/2 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))
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(cbrt.f32 (pow.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32))) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)))))
(log1p.f32 (expm1.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)))))
(exp.f32 (log.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)))))
(exp.f32 (*.f32 (log.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 1 binary32)))
Outputs
(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 alpha)))
(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 alpha)))
(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 alpha)))
(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 alpha)))
(*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))
(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 alpha)))
(*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))
(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 alpha)))
(*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))
(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 alpha)))
(*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))
(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 alpha)))
(*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))
(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 alpha)))
(*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))
(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 alpha)))
(*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))
(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 alpha)))
(*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))
(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 alpha)))
(/.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))
(/.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))))
(-.f32 (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))) (*.f32 #s(literal -1/2 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32)))))))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))))
(-.f32 (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))))) (*.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (pow.f32 (+.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32)))))))) (/.f32 #s(literal 1/2 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))))))
(-.f32 (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))) (*.f32 #s(literal -1/2 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32))))))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))))))) (*.f32 #s(literal -1/2 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32)))))))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))))
(-.f32 (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (+.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (pow.f32 alpha #s(literal 2 binary32))) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))))) (*.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (pow.f32 (+.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32)))))))) (+.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))) (/.f32 #s(literal 1/2 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))))) (*.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (pow.f32 (+.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32)))))))) (/.f32 #s(literal 1/2 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))))))
(-.f32 (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 (/.f32 (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))) (*.f32 #s(literal -1/2 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32))))))))) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32))) (/.f32 (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))) (*.f32 #s(literal -1/2 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32)))))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))) (*.f32 #s(literal -1/2 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32)))))))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))))
(-.f32 (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))))) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 (/.f32 (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))))) (*.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (pow.f32 (+.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32))))))) (pow.f32 cosTheta #s(literal 4 binary32)))) (pow.f32 (+.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32))) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))))) (*.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (pow.f32 (+.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32))))))) (+.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))))))) (*.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (pow.f32 (+.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32)))))))) (/.f32 #s(literal 1/2 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))))))
(/.f32 #s(literal -1/2 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))
(/.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))))
(-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))) (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))))))
(-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (pow.f32 alpha #s(literal 2 binary32))) (*.f32 (PI.f32) (neg.f32 (log.f32 alpha))))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (PI.f32)) (neg.f32 (log.f32 alpha))))) (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (PI.f32) (neg.f32 (log.f32 alpha))) (pow.f32 cosTheta #s(literal 2 binary32))))))
(-.f32 (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))) (*.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))))) (*.f32 (pow.f32 alpha #s(literal 4 binary32)) (pow.f32 cosTheta #s(literal 2 binary32))))) (/.f32 #s(literal 1/2 binary32) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))))) (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))))))
(-.f32 (fma.f32 #s(literal -1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (PI.f32) (neg.f32 (log.f32 alpha))) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (PI.f32)) (neg.f32 (log.f32 alpha)))))) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (pow.f32 alpha #s(literal 4 binary32))))) (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (pow.f32 alpha #s(literal 2 binary32))) (*.f32 (PI.f32) (neg.f32 (log.f32 alpha)))))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (PI.f32)) (neg.f32 (log.f32 alpha))))) (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (PI.f32) (neg.f32 (log.f32 alpha))) (pow.f32 cosTheta #s(literal 2 binary32))))))
(-.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))) (/.f32 (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))) (*.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))))) (*.f32 (pow.f32 alpha #s(literal 6 binary32)) (pow.f32 cosTheta #s(literal 4 binary32))))) (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))))) (+.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))) (*.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))))) (*.f32 (pow.f32 alpha #s(literal 4 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)))))))
(+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (pow.f32 alpha #s(literal 2 binary32))) (*.f32 (PI.f32) (neg.f32 (log.f32 alpha))))) (-.f32 (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32)) (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (PI.f32) (neg.f32 (log.f32 alpha))) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (PI.f32)) (neg.f32 (log.f32 alpha)))))) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (pow.f32 alpha #s(literal 6 binary32))))) (+.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (PI.f32)) (neg.f32 (log.f32 alpha))))) (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (PI.f32) (neg.f32 (log.f32 alpha))) (pow.f32 cosTheta #s(literal 2 binary32))))) (*.f32 (+.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (PI.f32) (neg.f32 (log.f32 alpha))) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (PI.f32)) (neg.f32 (log.f32 alpha)))))) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (pow.f32 alpha #s(literal 4 binary32))))))))
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(+.f32 (/.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (*.f32 (log.f32 alpha) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))))) (/.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (*.f32 (log.f32 alpha) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))))))
(cbrt.f32 (/.f32 (pow.f32 (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) #s(literal 3 binary32)) (pow.f32 (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 3 binary32))))
(+.f32 (/.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (*.f32 (log.f32 alpha) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))))) (/.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (*.f32 (log.f32 alpha) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))))))
(expm1.f32 (log1p.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))))))
(expm1.f32 (log1p.f32 (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (*.f32 #s(literal 2 binary32) (*.f32 (log.f32 alpha) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))))))
(log1p.f32 (expm1.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))))))
(+.f32 (/.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (*.f32 (log.f32 alpha) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))))) (/.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (*.f32 (log.f32 alpha) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))))))
(exp.f32 (log.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))))))
(+.f32 (/.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (*.f32 (log.f32 alpha) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))))) (/.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (*.f32 (log.f32 alpha) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))))))
(exp.f32 (*.f32 (log.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))))) #s(literal 1 binary32)))
(+.f32 (/.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (*.f32 (log.f32 alpha) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))))) (/.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (*.f32 (log.f32 alpha) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))))))
(+.f32 (*.f32 cosTheta (pow.f32 alpha #s(literal 2 binary32))) (*.f32 cosTheta #s(literal -1 binary32)))
(*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))
(+.f32 (*.f32 (pow.f32 alpha #s(literal 2 binary32)) cosTheta) (*.f32 #s(literal -1 binary32) cosTheta))
(*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))))) #s(literal 1 binary32))
(*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))
(/.f32 (*.f32 cosTheta (+.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal -1 binary32))) (+.f32 (pow.f32 alpha #s(literal 4 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32))))
(*.f32 cosTheta (/.f32 (+.f32 #s(literal -1 binary32) (pow.f32 alpha #s(literal 6 binary32))) (+.f32 (pow.f32 alpha #s(literal 4 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32)))))
(/.f32 (*.f32 cosTheta (+.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal -1 binary32))) (fma.f32 alpha alpha #s(literal 1 binary32)))
(*.f32 cosTheta (/.f32 (+.f32 #s(literal -1 binary32) (pow.f32 alpha #s(literal 4 binary32))) (fma.f32 alpha alpha #s(literal 1 binary32))))
(/.f32 (*.f32 (+.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal -1 binary32)) cosTheta) (+.f32 (pow.f32 alpha #s(literal 4 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32))))
(*.f32 cosTheta (/.f32 (+.f32 #s(literal -1 binary32) (pow.f32 alpha #s(literal 6 binary32))) (+.f32 (pow.f32 alpha #s(literal 4 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32)))))
(/.f32 (*.f32 (+.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal -1 binary32)) cosTheta) (fma.f32 alpha alpha #s(literal 1 binary32)))
(*.f32 cosTheta (/.f32 (+.f32 #s(literal -1 binary32) (pow.f32 alpha #s(literal 4 binary32))) (fma.f32 alpha alpha #s(literal 1 binary32))))
(pow.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal 1 binary32))
(*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))
(pow.f32 (cbrt.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))) #s(literal 3 binary32))
(*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))
(pow.f32 (pow.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))
(pow.f32 (sqrt.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))) #s(literal 2 binary32))
(*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))
(sqrt.f32 (pow.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal 2 binary32)))
(log.f32 (pow.f32 (exp.f32 (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta))
(*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))))))
(*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))
(cbrt.f32 (pow.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal 3 binary32)))
(*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))
(cbrt.f32 (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 3 binary32))))
(*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))
(cbrt.f32 (*.f32 (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 3 binary32)) (pow.f32 cosTheta #s(literal 3 binary32))))
(*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))
(expm1.f32 (log1p.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))))
(*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))
(log1p.f32 (expm1.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))))
(*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))
(exp.f32 (log.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))))
(*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))
(exp.f32 (*.f32 (log.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))) #s(literal 1 binary32)))
(*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))
(-.f32 (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32))
(*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))
(/.f32 (*.f32 (+.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32))) (+.f32 (pow.f32 alpha #s(literal 4 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32))))
(*.f32 cosTheta (/.f32 (+.f32 #s(literal -1 binary32) (pow.f32 alpha #s(literal 6 binary32))) (+.f32 (pow.f32 alpha #s(literal 4 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32)))))
(/.f32 (*.f32 (+.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32))) (fma.f32 alpha alpha #s(literal 1 binary32)))
(*.f32 cosTheta (/.f32 (+.f32 #s(literal -1 binary32) (pow.f32 alpha #s(literal 4 binary32))) (fma.f32 alpha alpha #s(literal 1 binary32))))
(pow.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32))) #s(literal 1 binary32))
(*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))
(pow.f32 (cbrt.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 3 binary32))
(*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))
(pow.f32 (pow.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))
(pow.f32 (*.f32 (sqrt.f32 (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta) #s(literal 2 binary32))
(*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))
(sqrt.f32 (*.f32 (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 2 binary32)) (pow.f32 cosTheta #s(literal 4 binary32))))
(sqrt.f32 (pow.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal 2 binary32)))
(log.f32 (pow.f32 (exp.f32 (fma.f32 alpha alpha #s(literal -1 binary32))) (pow.f32 cosTheta #s(literal 2 binary32))))
(*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32))))))
(*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))
(cbrt.f32 (pow.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32))) #s(literal 3 binary32)))
(*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))
(expm1.f32 (log1p.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)))))
(*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))
(log1p.f32 (expm1.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)))))
(*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))
(exp.f32 (log.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)))))
(*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))
(exp.f32 (*.f32 (log.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 1 binary32)))
(*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))

eval240.0ms (1.7%)

Compiler

Compiled 13655 to 8599 computations (37% saved)

prune108.0ms (0.8%)

Pruning

27 alts after pruning (26 fresh and 1 done)

PrunedKeptTotal
New40826434
Fresh000
Picked213
Done000
Total41027437
Accuracy
100.0%
Counts
437 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶96.0%
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32)))))
97.3%
(/.f32 (pow.f32 (cbrt.f32 (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))) #s(literal 3 binary32)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))
66.6%
(/.f32 (/.f32 (/.f32 #s(literal -1/2 binary32) (PI.f32)) (log.f32 alpha)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))
98.3%
(/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (/.f32 (log.f32 alpha) (fma.f32 alpha alpha #s(literal -1 binary32)))))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))
98.2%
(/.f32 (-.f32 (/.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))
97.5%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))) #s(literal 3 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
97.1%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (pow.f32 (cbrt.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha))) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
98.3%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (+.f32 (log.f32 (cbrt.f32 (pow.f32 alpha #s(literal 4 binary32)))) (log.f32 (pow.f32 (cbrt.f32 alpha) #s(literal 2 binary32))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
97.1%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 (pow.f32 (cbrt.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha))) #s(literal 2 binary32)) (cbrt.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
98.5%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
98.4%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal -2 binary32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
74.4%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log1p.f32 (fma.f32 alpha alpha #s(literal -1 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
96.0%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (pow.f32 alpha #s(literal 2 binary32)) cosTheta) cosTheta))))
✓98.6%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
▶97.7%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
▶27.4%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (log1p.f32 (-.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32)) #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
▶98.8%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
98.5%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (cbrt.f32 (*.f32 (pow.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
98.1%
(/.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))
98.3%
(/.f32 (*.f32 (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) #s(literal 1 binary32)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))
98.1%
(/.f32 (*.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (PI.f32))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))
97.9%
(/.f32 (*.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (PI.f32)) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))
98.1%
(/.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))
97.8%
(/.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 (+.f32 alpha #s(literal -1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 #s(literal 2 binary32) (log.f32 alpha))))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))
97.7%
(/.f32 (exp.f32 (log.f32 (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (*.f32 #s(literal 2 binary32) (log.f32 alpha))))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))
66.6%
(/.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))))
▶98.1%
(*.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32))))
Compiler

Compiled 1370 to 986 computations (28% saved)

localize932.0ms (6.8%)

Localize:

Found 20 expressions with local error:

NewAccuracyProgram
✓99.8%
(/.f32 (+.f32 alpha #s(literal -1 binary32)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))
✓98.9%
(*.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32))))
✓98.9%
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))
✓98.8%
(/.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))))
99.4%
(*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta)
✓99.0%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (log1p.f32 (-.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32)) #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
✓90.4%
(pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))
✓27.4%
(log1p.f32 (-.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32)) #s(literal 1 binary32)))
✓100.0%
(pow.f32 alpha #s(literal 2 binary32))
✓99.7%
(log.f32 (pow.f32 alpha #s(literal 2 binary32)))
✓99.1%
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32)))))
✓98.9%
(*.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32))))
✓99.7%
(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))
99.7%
(log.f32 (*.f32 alpha alpha))
✓99.0%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
98.9%
(*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))
99.6%
(*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)
99.4%
(*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta)
✓99.0%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
✓90.4%
(pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))
Results
667.0ms256×256valid
Compiler

Compiled 393 to 210 computations (46.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 418.0ms
Operation ival-pow, time spent: 120.0ms, 29.0% of total-time
Operation ival-mult, time spent: 91.0ms, 22.0% of total-time
Operation composed, time spent: 57.0ms, 14.0% of total-time
Operation ival-log, time spent: 46.0ms, 11.0% of total-time
Operation ival-add, time spent: 41.0ms, 10.0% of total-time
Operation ival-sub, time spent: 27.0ms, 6.0% of total-time
Operation ival-div, time spent: 19.0ms, 5.0% of total-time
Operation const, time spent: 12.0ms, 3.0% of total-time
Operation ival-pi, time spent: 1.0ms, 0.0% of total-time
Operation ival-neg, time spent: 1.0ms, 0.0% of total-time

series184.0ms (1.3%)

Counts
15 → 228
Calls
Call 1
Inputs
#<alt (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))>
#<alt (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))>
#<alt (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))>
#<alt (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))>
#<alt (*.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32))))>
#<alt (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32)))))>
#<alt (log.f32 (pow.f32 alpha #s(literal 2 binary32)))>
#<alt (pow.f32 alpha #s(literal 2 binary32))>
#<alt (log1p.f32 (-.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32)) #s(literal 1 binary32)))>
#<alt (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))>
#<alt (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (log1p.f32 (-.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32)) #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))>
#<alt (/.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))))>
#<alt (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))>
#<alt (*.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32))))>
#<alt (/.f32 (+.f32 alpha #s(literal -1 binary32)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))>
Outputs
#<alt (exp.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 alpha))))>
#<alt (exp.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 alpha))))>
#<alt (exp.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 alpha))))>
#<alt (exp.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 alpha))))>
#<alt (exp.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))>
#<alt (exp.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))>
#<alt (exp.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))>
#<alt (exp.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))>
#<alt (exp.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))>
#<alt (exp.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))>
#<alt (exp.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))>
#<alt (exp.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))>
#<alt (/.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))>
#<alt (-.f32 (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))) (*.f32 #s(literal -1/2 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32)))))))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))))>
#<alt (-.f32 (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))) (*.f32 #s(literal -1/2 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32))))))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))))))) (*.f32 #s(literal -1/2 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32)))))))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))))>
#<alt (-.f32 (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 (/.f32 (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))) (*.f32 #s(literal -1/2 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32))))))))) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32))) (/.f32 (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))) (*.f32 #s(literal -1/2 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32)))))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))) (*.f32 #s(literal -1/2 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32)))))))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))))>
#<alt (/.f32 #s(literal -1/2 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))>
#<alt (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))) (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))))))>
#<alt (-.f32 (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))) (*.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))))) (*.f32 (pow.f32 alpha #s(literal 4 binary32)) (pow.f32 cosTheta #s(literal 2 binary32))))) (/.f32 #s(literal 1/2 binary32) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))))) (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))))))>
#<alt (-.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))) (/.f32 (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))) (*.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))))) (*.f32 (pow.f32 alpha #s(literal 6 binary32)) (pow.f32 cosTheta #s(literal 4 binary32))))) (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))))) (+.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))) (*.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))))) (*.f32 (pow.f32 alpha #s(literal 4 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)))))))>
#<alt (/.f32 #s(literal -1/2 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))>
#<alt (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))) (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))))))>
#<alt (-.f32 (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))) (*.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))))) (*.f32 (pow.f32 alpha #s(literal 4 binary32)) (pow.f32 cosTheta #s(literal 2 binary32))))) (/.f32 #s(literal 1/2 binary32) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))))) (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))))))>
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#<alt (/.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))))>
#<alt (-.f32 (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 2 binary32))) (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))))) (/.f32 (pow.f32 alpha #s(literal 2 binary32)) (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))))) (/.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32)))))>
#<alt (-.f32 (+.f32 (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (/.f32 (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 3 binary32))) (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32)))) (/.f32 (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 2 binary32)) (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32)))))) (/.f32 (pow.f32 alpha #s(literal 2 binary32)) (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))))) (/.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32)))))>
#<alt (-.f32 (+.f32 (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 4 binary32))) (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))))) (*.f32 #s(literal -1 binary32) (/.f32 (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 3 binary32)) (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))))))) (/.f32 (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 2 binary32)) (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32)))))) (/.f32 (pow.f32 alpha #s(literal 2 binary32)) (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))))) (/.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32)))))>
#<alt (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32)))))>
#<alt (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32)))) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)))))) (pow.f32 cosTheta #s(literal 2 binary32)))>
#<alt (/.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32)))) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (*.f32 (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))) (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 2 binary32)))))) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)))))) (pow.f32 cosTheta #s(literal 2 binary32)))>
#<alt (/.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32)))) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (*.f32 (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))) (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 2 binary32)))))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32))))) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 6 binary32)) (*.f32 (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))) (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 3 binary32))))))) (pow.f32 cosTheta #s(literal 2 binary32)))>
#<alt (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32)))))>
#<alt (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32)))) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)))))) (pow.f32 cosTheta #s(literal 2 binary32)))>
#<alt (/.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32)))) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (*.f32 (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))) (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 2 binary32)))))) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)))))) (pow.f32 cosTheta #s(literal 2 binary32)))>
#<alt (/.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32)))) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (*.f32 (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))) (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 2 binary32)))))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32))))) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 6 binary32)) (*.f32 (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))) (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 3 binary32))))))) (pow.f32 cosTheta #s(literal 2 binary32)))>
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#<alt (*.f32 #s(literal -1/2 binary32) (/.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 (/.f32 #s(literal 1 binary32) alpha)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))))))>
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#<alt (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 (/.f32 #s(literal 1 binary32) alpha)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))))))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 (/.f32 #s(literal 1 binary32) alpha)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))))))))>
#<alt (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 (/.f32 #s(literal 1 binary32) alpha)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))))))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 (/.f32 #s(literal 1 binary32) alpha)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))))))))>
#<alt (*.f32 #s(literal -1/2 binary32) (/.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))))))>
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#<alt (/.f32 #s(literal -1/2 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))>
#<alt (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))) (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))))))>
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#<alt (/.f32 #s(literal -1/2 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))>
#<alt (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))) (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))))))>
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#<alt (/.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))))>
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#<alt (-.f32 (+.f32 alpha (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (-.f32 alpha #s(literal 1 binary32)) (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 2 binary32)))) (*.f32 (-.f32 alpha #s(literal 1 binary32)) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)))))) #s(literal 1 binary32))>
#<alt (-.f32 (+.f32 alpha (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (-.f32 alpha #s(literal 1 binary32)) (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 3 binary32))))) (*.f32 #s(literal -1 binary32) (*.f32 (-.f32 alpha #s(literal 1 binary32)) (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 2 binary32)))))) (*.f32 (-.f32 alpha #s(literal 1 binary32)) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)))))) #s(literal 1 binary32))>
#<alt (/.f32 (-.f32 alpha #s(literal 1 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32))))>
#<alt (/.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 2 binary32)))) (/.f32 alpha (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)))) (+.f32 (/.f32 #s(literal 1 binary32) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32))) (/.f32 alpha (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 2 binary32)))))) (pow.f32 cosTheta #s(literal 2 binary32)))>
#<alt (/.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 2 binary32)))) (+.f32 (/.f32 alpha (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 3 binary32)))) (/.f32 alpha (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32))))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 3 binary32)))) (+.f32 (/.f32 #s(literal 1 binary32) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32))) (/.f32 alpha (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 2 binary32))))))) (pow.f32 cosTheta #s(literal 2 binary32)))>
#<alt (/.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 2 binary32)))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 6 binary32)) (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 4 binary32)))) (+.f32 (/.f32 alpha (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 3 binary32)))) (/.f32 alpha (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)))))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 3 binary32)))) (+.f32 (/.f32 #s(literal 1 binary32) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32))) (+.f32 (/.f32 alpha (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 2 binary32)))) (/.f32 alpha (*.f32 (pow.f32 cosTheta #s(literal 6 binary32)) (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 4 binary32)))))))) (pow.f32 cosTheta #s(literal 2 binary32)))>
#<alt (/.f32 (-.f32 alpha #s(literal 1 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32))))>
#<alt (/.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 2 binary32)))) (/.f32 alpha (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)))) (+.f32 (/.f32 #s(literal 1 binary32) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32))) (/.f32 alpha (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 2 binary32)))))) (pow.f32 cosTheta #s(literal 2 binary32)))>
#<alt (/.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 2 binary32)))) (+.f32 (/.f32 alpha (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 3 binary32)))) (/.f32 alpha (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32))))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 3 binary32)))) (+.f32 (/.f32 #s(literal 1 binary32) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32))) (/.f32 alpha (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 2 binary32))))))) (pow.f32 cosTheta #s(literal 2 binary32)))>
#<alt (/.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 2 binary32)))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 6 binary32)) (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 4 binary32)))) (+.f32 (/.f32 alpha (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 3 binary32)))) (/.f32 alpha (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)))))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 3 binary32)))) (+.f32 (/.f32 #s(literal 1 binary32) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32))) (+.f32 (/.f32 alpha (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 2 binary32)))) (/.f32 alpha (*.f32 (pow.f32 cosTheta #s(literal 6 binary32)) (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 4 binary32)))))))) (pow.f32 cosTheta #s(literal 2 binary32)))>
Calls

60 calls:

TimeVariablePointExpression
48.0ms
alpha
@inf
(log (+ 1 (- (pow (pow alpha 2) (PI)) 1)))
30.0ms
alpha
@-inf
(/ (+ alpha 1) (* (PI) (* 2 (log alpha))))
15.0ms
alpha
@0
(log (+ 1 (- (pow (pow alpha 2) (PI)) 1)))
14.0ms
alpha
@-inf
(* (PI) (* 2 (log alpha)))
6.0ms
alpha
@inf
(* (PI) (* 2 (log alpha)))

rewrite702.0ms (5.1%)

Algorithm
1×batch-egg-rewrite
Rules
352×frac-times
349×log1p-expm1-u
349×expm1-log1p-u
337×add-exp-log
334×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
048571
1843566
Stop Event
1×node limit
Counts
15 → 336
Calls
Call 1
Inputs
(pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))
(*.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32)))))
(log.f32 (pow.f32 alpha #s(literal 2 binary32)))
(pow.f32 alpha #s(literal 2 binary32))
(log1p.f32 (-.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32)) #s(literal 1 binary32)))
(pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (log1p.f32 (-.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32)) #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))))
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))
(*.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32))))
(/.f32 (+.f32 alpha #s(literal -1 binary32)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))
Outputs
(+.f32 #s(literal 1 binary32) (+.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) #s(literal -1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))))
(*.f32 (cbrt.f32 (pow.f32 (pow.f32 alpha #s(literal 4 binary32)) (PI.f32))) (cbrt.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32)))))
(*.f32 (sqrt.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32)))) (sqrt.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32)))))
(*.f32 (pow.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (PI.f32))) (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 alpha) #s(literal 2 binary32)) (*.f32 #s(literal 2 binary32) (PI.f32))) (pow.f32 (cbrt.f32 alpha) (*.f32 #s(literal 2 binary32) (PI.f32))))
(*.f32 (pow.f32 (sqrt.f32 alpha) (*.f32 #s(literal 2 binary32) (PI.f32))) (pow.f32 (sqrt.f32 alpha) (*.f32 #s(literal 2 binary32) (PI.f32))))
(*.f32 (pow.f32 alpha (PI.f32)) (pow.f32 alpha (PI.f32)))
(*.f32 (pow.f32 #s(literal 1 binary32) (PI.f32)) (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))))
(*.f32 (pow.f32 (cbrt.f32 (pow.f32 alpha #s(literal 4 binary32))) (PI.f32)) (pow.f32 (pow.f32 (cbrt.f32 alpha) #s(literal 2 binary32)) (PI.f32)))
(sqrt.f32 (pow.f32 (pow.f32 alpha #s(literal 4 binary32)) (PI.f32)))
(log.f32 (exp.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32)))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))))))
(cbrt.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (PI.f32) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32)))))
(log1p.f32 (expm1.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32)))))
(exp.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))))
(exp.f32 (*.f32 (log.f32 alpha) (*.f32 #s(literal 2 binary32) (PI.f32))))
(-.f32 (/.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))))
(-.f32 (exp.f32 (log1p.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))))
(*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))))
(*.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32))))
(*.f32 (/.f32 (+.f32 alpha #s(literal -1 binary32)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32))) (/.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))))
(*.f32 (pow.f32 (cbrt.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32))))) #s(literal 2 binary32)) (cbrt.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32))))))
(*.f32 (sqrt.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32))))) (sqrt.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32))))))
(pow.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32))))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32))))) #s(literal 2 binary32))
(pow.f32 (/.f32 (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32))) (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal -1 binary32))
(sqrt.f32 (pow.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))) #s(literal 2 binary32)))
(log.f32 (exp.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32))))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))))))
(cbrt.f32 (pow.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))) #s(literal 3 binary32)) (pow.f32 (/.f32 (+.f32 alpha #s(literal -1 binary32)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32))) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (/.f32 (+.f32 alpha #s(literal -1 binary32)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32))) #s(literal 3 binary32)) (pow.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))) #s(literal 3 binary32))))
(cbrt.f32 (/.f32 (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 3 binary32)) (pow.f32 (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32))) #s(literal 3 binary32))))
(cbrt.f32 (/.f32 (pow.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))) #s(literal 3 binary32)) (pow.f32 (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32))))))
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(/.f32 (+.f32 alpha #s(literal -1 binary32)) (*.f32 (/.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (+.f32 alpha #s(literal 1 binary32))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32))))
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))
(/.f32 (neg.f32 (fma.f32 alpha alpha #s(literal -1 binary32))) (neg.f32 (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))))
(/.f32 (*.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))) (+.f32 alpha #s(literal -1 binary32))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))
(/.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))))
(/.f32 (-.f32 (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))) (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32))) #s(literal 1 binary32))) (pow.f32 (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32))) #s(literal 2 binary32)))
(/.f32 (*.f32 (-.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 (+.f32 (pow.f32 alpha #s(literal 4 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)))) (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))))
(/.f32 (*.f32 (-.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))))
(/.f32 (*.f32 (+.f32 alpha #s(literal -1 binary32)) (+.f32 alpha #s(literal 1 binary32))) (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32))))
(/.f32 (*.f32 #s(literal 1 binary32) (neg.f32 (+.f32 alpha #s(literal -1 binary32)))) (*.f32 (/.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (+.f32 alpha #s(literal 1 binary32))) (neg.f32 (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))))
(/.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (/.f32 (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32)))))
(/.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) (neg.f32 (+.f32 alpha #s(literal -1 binary32)))) (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (neg.f32 (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))))
(/.f32 (*.f32 (neg.f32 (+.f32 alpha #s(literal 1 binary32))) #s(literal 1 binary32)) (*.f32 (neg.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))) (/.f32 (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32)))))
(/.f32 (*.f32 (neg.f32 (+.f32 alpha #s(literal 1 binary32))) (+.f32 alpha #s(literal -1 binary32))) (*.f32 (neg.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32))))
(/.f32 (*.f32 (neg.f32 (+.f32 alpha #s(literal 1 binary32))) (neg.f32 (+.f32 alpha #s(literal -1 binary32)))) (*.f32 (neg.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))) (neg.f32 (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))))
(/.f32 (*.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (PI.f32)) #s(literal 1 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) (/.f32 (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32)))))
(/.f32 (*.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (PI.f32)) (+.f32 alpha #s(literal -1 binary32))) (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32))))
(/.f32 (*.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (PI.f32)) (neg.f32 (+.f32 alpha #s(literal -1 binary32)))) (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) (neg.f32 (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))))
(/.f32 (*.f32 #s(literal 1 binary32) (neg.f32 (+.f32 alpha #s(literal 1 binary32)))) (*.f32 (/.f32 (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) (neg.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))))))
(/.f32 (*.f32 #s(literal 1 binary32) (/.f32 (+.f32 alpha #s(literal 1 binary32)) (PI.f32))) (*.f32 (/.f32 (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) (*.f32 #s(literal 2 binary32) (log.f32 alpha))))
(/.f32 (*.f32 (+.f32 alpha #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)) (/.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (+.f32 alpha #s(literal 1 binary32)))))
(/.f32 (*.f32 (+.f32 alpha #s(literal -1 binary32)) (neg.f32 (+.f32 alpha #s(literal 1 binary32)))) (*.f32 (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)) (neg.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))))))
(/.f32 (*.f32 (+.f32 alpha #s(literal -1 binary32)) (/.f32 (+.f32 alpha #s(literal 1 binary32)) (PI.f32))) (*.f32 (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) (log.f32 alpha))))
(/.f32 (*.f32 (neg.f32 (+.f32 alpha #s(literal -1 binary32))) #s(literal 1 binary32)) (*.f32 (neg.f32 (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32))) (/.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (+.f32 alpha #s(literal 1 binary32)))))
(/.f32 (*.f32 (neg.f32 (+.f32 alpha #s(literal -1 binary32))) (+.f32 alpha #s(literal 1 binary32))) (*.f32 (neg.f32 (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32))) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))))
(/.f32 (*.f32 (neg.f32 (+.f32 alpha #s(literal -1 binary32))) (neg.f32 (+.f32 alpha #s(literal 1 binary32)))) (*.f32 (neg.f32 (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32))) (neg.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))))))
(/.f32 (*.f32 (neg.f32 (+.f32 alpha #s(literal -1 binary32))) (/.f32 (+.f32 alpha #s(literal 1 binary32)) (PI.f32))) (*.f32 (neg.f32 (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32))) (*.f32 #s(literal 2 binary32) (log.f32 alpha))))
(pow.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32))))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32))))) #s(literal 2 binary32))
(pow.f32 (/.f32 (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32))) (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal -1 binary32))
(sqrt.f32 (pow.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))) #s(literal 2 binary32)))
(log.f32 (exp.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32))))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))))))
(cbrt.f32 (pow.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))) #s(literal 3 binary32)) (pow.f32 (/.f32 (+.f32 alpha #s(literal -1 binary32)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32))) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (/.f32 (+.f32 alpha #s(literal -1 binary32)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32))) #s(literal 3 binary32)) (pow.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))) #s(literal 3 binary32))))
(cbrt.f32 (/.f32 (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 3 binary32)) (pow.f32 (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32))) #s(literal 3 binary32))))
(cbrt.f32 (/.f32 (pow.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))) #s(literal 3 binary32)) (pow.f32 (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32))))))
(log1p.f32 (expm1.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32))))))
(exp.f32 (log.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32))))))
(exp.f32 (*.f32 (log.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32))))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (/.f32 (+.f32 alpha #s(literal -1 binary32)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32))))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32))))
(*.f32 (+.f32 alpha #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32))))
(*.f32 (pow.f32 (cbrt.f32 (/.f32 (+.f32 alpha #s(literal -1 binary32)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))) #s(literal 2 binary32)) (cbrt.f32 (/.f32 (+.f32 alpha #s(literal -1 binary32)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))))
(*.f32 (sqrt.f32 (/.f32 (+.f32 alpha #s(literal -1 binary32)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))) (sqrt.f32 (/.f32 (+.f32 alpha #s(literal -1 binary32)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))))
(pow.f32 (/.f32 (+.f32 alpha #s(literal -1 binary32)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32))) #s(literal 1 binary32))
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(pow.f32 (sqrt.f32 (/.f32 (+.f32 alpha #s(literal -1 binary32)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))) #s(literal 2 binary32))
(pow.f32 (/.f32 (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) #s(literal -1 binary32))
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(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (+.f32 alpha #s(literal -1 binary32)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32))))))
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(cbrt.f32 (/.f32 (pow.f32 (+.f32 alpha #s(literal -1 binary32)) #s(literal 3 binary32)) (pow.f32 (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (/.f32 (+.f32 alpha #s(literal -1 binary32)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))))
(log1p.f32 (expm1.f32 (/.f32 (+.f32 alpha #s(literal -1 binary32)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))))
(exp.f32 (log.f32 (/.f32 (+.f32 alpha #s(literal -1 binary32)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))))
(exp.f32 (*.f32 (log.f32 (/.f32 (+.f32 alpha #s(literal -1 binary32)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))) #s(literal 1 binary32)))

simplify395.0ms (2.9%)

Algorithm
1×egg-herbie
Rules
1162×associate-/l*
718×fma-define
652×distribute-lft-in
616×distribute-rgt-in
556×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0103049298
1298841556
Stop Event
1×node limit
Counts
564 → 561
Calls
Call 1
Inputs
(exp.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 alpha))))
(exp.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 alpha))))
(exp.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 alpha))))
(exp.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 alpha))))
(exp.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))
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(exp.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))
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(expm1.f32 (log1p.f32 (/.f32 (+.f32 alpha #s(literal -1 binary32)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))))
(log1p.f32 (expm1.f32 (/.f32 (+.f32 alpha #s(literal -1 binary32)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))))
(exp.f32 (log.f32 (/.f32 (+.f32 alpha #s(literal -1 binary32)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))))
(exp.f32 (*.f32 (log.f32 (/.f32 (+.f32 alpha #s(literal -1 binary32)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))) #s(literal 1 binary32)))
Outputs
(exp.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 alpha))))
(pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32)))
(exp.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 alpha))))
(pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32)))
(exp.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 alpha))))
(pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32)))
(exp.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 alpha))))
(pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32)))
(exp.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))
(pow.f32 (exp.f32 #s(literal -2 binary32)) (*.f32 (PI.f32) (neg.f32 (log.f32 alpha))))
(exp.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))
(pow.f32 (exp.f32 #s(literal -2 binary32)) (*.f32 (PI.f32) (neg.f32 (log.f32 alpha))))
(exp.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))
(pow.f32 (exp.f32 #s(literal -2 binary32)) (*.f32 (PI.f32) (neg.f32 (log.f32 alpha))))
(exp.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))
(pow.f32 (exp.f32 #s(literal -2 binary32)) (*.f32 (PI.f32) (neg.f32 (log.f32 alpha))))
(exp.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))
(pow.f32 (exp.f32 #s(literal -2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))
(exp.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))
(pow.f32 (exp.f32 #s(literal -2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))
(exp.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))
(pow.f32 (exp.f32 #s(literal -2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))
(exp.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))
(pow.f32 (exp.f32 #s(literal -2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))
(/.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))
(/.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))))
(/.f32 (/.f32 #s(literal -1/2 binary32) (PI.f32)) (*.f32 (log.f32 alpha) (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))
(-.f32 (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))) (*.f32 #s(literal -1/2 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32)))))))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))))
(-.f32 (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))))) (*.f32 #s(literal -1/2 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (pow.f32 (+.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32)))))))) (/.f32 #s(literal 1/2 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))))))
(fma.f32 (pow.f32 alpha #s(literal 2 binary32)) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))) (*.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (PI.f32)) (*.f32 (log.f32 alpha) (pow.f32 (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) #s(literal 2 binary32)))))) (/.f32 (/.f32 #s(literal -1/2 binary32) (PI.f32)) (*.f32 (log.f32 alpha) (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))))
(-.f32 (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))) (*.f32 #s(literal -1/2 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32))))))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))))))) (*.f32 #s(literal -1/2 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32)))))))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))))
(-.f32 (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (+.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (pow.f32 alpha #s(literal 2 binary32))) (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))))) (*.f32 #s(literal -1/2 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (pow.f32 (+.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32)))))))) (+.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))) (/.f32 #s(literal 1/2 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))))) (*.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (pow.f32 (+.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32)))))))) (/.f32 #s(literal 1/2 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))))))
(fma.f32 (pow.f32 alpha #s(literal 2 binary32)) (+.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))) (*.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (PI.f32)) (*.f32 (log.f32 alpha) (pow.f32 (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) #s(literal 2 binary32)))))) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))))) (*.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (PI.f32)) (*.f32 (log.f32 alpha) (pow.f32 (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) #s(literal 2 binary32)))))) (/.f32 (/.f32 #s(literal -1/2 binary32) (PI.f32)) (*.f32 (log.f32 alpha) (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))))
(-.f32 (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 (/.f32 (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))) (*.f32 #s(literal -1/2 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32))))))))) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32))) (/.f32 (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))) (*.f32 #s(literal -1/2 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32)))))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))) (*.f32 #s(literal -1/2 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32)))))))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))))
(-.f32 (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))))) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 (/.f32 (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))))) (*.f32 #s(literal -1/2 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (pow.f32 (+.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32))))))) (pow.f32 cosTheta #s(literal 4 binary32)))) (pow.f32 (+.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32))) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))))) (*.f32 #s(literal -1/2 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (pow.f32 (+.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32))))))) (+.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))))))) (*.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (pow.f32 (+.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32)))))))) (/.f32 #s(literal 1/2 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))))))
(fma.f32 (pow.f32 alpha #s(literal 2 binary32)) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))) (fma.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))) (*.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (PI.f32)) (*.f32 (log.f32 alpha) (pow.f32 (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) #s(literal 2 binary32)))))) (/.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) #s(literal 2 binary32))))) (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))) (*.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (PI.f32)) (*.f32 (log.f32 alpha) (pow.f32 (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) #s(literal 2 binary32)))))) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))) (*.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (PI.f32)) (*.f32 (log.f32 alpha) (pow.f32 (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) #s(literal 2 binary32))))))) (/.f32 (/.f32 #s(literal -1/2 binary32) (PI.f32)) (*.f32 (log.f32 alpha) (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))))
(/.f32 #s(literal -1/2 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))
(/.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (PI.f32) (neg.f32 (log.f32 alpha))) (pow.f32 cosTheta #s(literal 2 binary32))))
(-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))) (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))))))
(-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (*.f32 (PI.f32) (neg.f32 (log.f32 alpha))) (pow.f32 cosTheta #s(literal 2 binary32))))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (*.f32 (PI.f32) (neg.f32 (log.f32 alpha))) (pow.f32 cosTheta #s(literal 4 binary32))))) (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (PI.f32) (neg.f32 (log.f32 alpha))) (pow.f32 cosTheta #s(literal 2 binary32))))))
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(pow.f32 (/.f32 (+.f32 alpha #s(literal -1 binary32)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32))) #s(literal 1 binary32))
(/.f32 (+.f32 alpha #s(literal -1 binary32)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))
(/.f32 (+.f32 alpha #s(literal -1 binary32)) (fma.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))
(pow.f32 (cbrt.f32 (/.f32 (+.f32 alpha #s(literal -1 binary32)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))) #s(literal 3 binary32))
(/.f32 (+.f32 alpha #s(literal -1 binary32)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))
(/.f32 (+.f32 alpha #s(literal -1 binary32)) (fma.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))
(pow.f32 (pow.f32 (/.f32 (+.f32 alpha #s(literal -1 binary32)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(/.f32 (+.f32 alpha #s(literal -1 binary32)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))
(/.f32 (+.f32 alpha #s(literal -1 binary32)) (fma.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))
(pow.f32 (sqrt.f32 (/.f32 (+.f32 alpha #s(literal -1 binary32)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))) #s(literal 2 binary32))
(/.f32 (+.f32 alpha #s(literal -1 binary32)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))
(/.f32 (+.f32 alpha #s(literal -1 binary32)) (fma.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))
(pow.f32 (/.f32 (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) #s(literal -1 binary32))
(/.f32 (+.f32 alpha #s(literal -1 binary32)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))
(/.f32 (+.f32 alpha #s(literal -1 binary32)) (fma.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))
(sqrt.f32 (pow.f32 (/.f32 (+.f32 alpha #s(literal -1 binary32)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32))) #s(literal 2 binary32)))
(fabs.f32 (/.f32 (+.f32 alpha #s(literal -1 binary32)) (fma.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))))
(log.f32 (exp.f32 (/.f32 (+.f32 alpha #s(literal -1 binary32)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))))
(/.f32 (+.f32 alpha #s(literal -1 binary32)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))
(/.f32 (+.f32 alpha #s(literal -1 binary32)) (fma.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (+.f32 alpha #s(literal -1 binary32)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32))))))
(/.f32 (+.f32 alpha #s(literal -1 binary32)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))
(/.f32 (+.f32 alpha #s(literal -1 binary32)) (fma.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))
(cbrt.f32 (pow.f32 (/.f32 (+.f32 alpha #s(literal -1 binary32)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32))) #s(literal 3 binary32)))
(/.f32 (+.f32 alpha #s(literal -1 binary32)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))
(/.f32 (+.f32 alpha #s(literal -1 binary32)) (fma.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))
(cbrt.f32 (/.f32 (pow.f32 (+.f32 alpha #s(literal -1 binary32)) #s(literal 3 binary32)) (pow.f32 (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 3 binary32))))
(/.f32 (+.f32 alpha #s(literal -1 binary32)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))
(/.f32 (+.f32 alpha #s(literal -1 binary32)) (fma.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))
(expm1.f32 (log1p.f32 (/.f32 (+.f32 alpha #s(literal -1 binary32)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))))
(expm1.f32 (log1p.f32 (/.f32 (+.f32 alpha #s(literal -1 binary32)) (fma.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))))
(log1p.f32 (expm1.f32 (/.f32 (+.f32 alpha #s(literal -1 binary32)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))))
(/.f32 (+.f32 alpha #s(literal -1 binary32)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))
(/.f32 (+.f32 alpha #s(literal -1 binary32)) (fma.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))
(exp.f32 (log.f32 (/.f32 (+.f32 alpha #s(literal -1 binary32)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))))
(/.f32 (+.f32 alpha #s(literal -1 binary32)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))
(/.f32 (+.f32 alpha #s(literal -1 binary32)) (fma.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))
(exp.f32 (*.f32 (log.f32 (/.f32 (+.f32 alpha #s(literal -1 binary32)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))) #s(literal 1 binary32)))
(/.f32 (+.f32 alpha #s(literal -1 binary32)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))
(/.f32 (+.f32 alpha #s(literal -1 binary32)) (fma.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))

eval801.0ms (5.8%)

Compiler

Compiled 33251 to 22480 computations (32.4% saved)

prune247.0ms (1.8%)

Pruning

31 alts after pruning (29 fresh and 2 done)

PrunedKeptTotal
New992251017
Fresh17421
Picked415
Done011
Total1013311044
Accuracy
100.0%
Counts
1044 → 31
Alt Table
Click to see full alt table
StatusAccuracyProgram
95.8%
(pow.f32 (/.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal -1 binary32))
95.0%
(pow.f32 (cbrt.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))))) #s(literal 3 binary32))
96.1%
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (log.f32 alpha) (*.f32 #s(literal 2 binary32) (PI.f32))))
▶95.8%
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (pow.f32 alpha #s(literal 2 binary32))))
97.2%
(/.f32 (/.f32 (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 2 binary32)) (*.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32)))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
97.3%
(/.f32 (/.f32 (-.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal 1 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
65.7%
(/.f32 (/.f32 #s(literal -1/2 binary32) (PI.f32)) (log.f32 alpha))
97.5%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))) #s(literal 3 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
96.7%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))) #s(literal 3 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
96.2%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (pow.f32 (cbrt.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha))) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
97.5%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
98.4%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal -2 binary32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
97.5%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal -2 binary32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
✓98.6%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
✓97.7%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
27.4%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (log1p.f32 (-.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)) #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
▶98.8%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
98.7%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (log.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
60.6%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (log.f32 (cbrt.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (PI.f32) #s(literal 3 binary32))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
98.1%
(/.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 (/.f32 (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))))
▶97.4%
(/.f32 (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 2 binary32))))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
98.3%
(/.f32 (*.f32 (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) #s(literal 1 binary32)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))
98.1%
(/.f32 (*.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (PI.f32))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))
▶97.2%
(/.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
▶65.7%
(/.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (log.f32 alpha)))
66.5%
(/.f32 #s(literal -1 binary32) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
66.6%
(/.f32 #s(literal -1 binary32) (*.f32 (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
95.9%
(*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))))
95.7%
(*.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))) (-.f32 alpha #s(literal 1 binary32)))
95.7%
(*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 alpha #s(literal 1 binary32))) (*.f32 (PI.f32) (log.f32 alpha))))
95.6%
(*.f32 #s(literal 1/2 binary32) (*.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 alpha)))))
Compiler

Compiled 1279 to 954 computations (25.4% saved)

localize934.0ms (6.8%)

Localize:

Found 18 expressions with local error:

NewAccuracyProgram
✓99.3%
(/.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 2 binary32)))
✓99.0%
(/.f32 (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 2 binary32))))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
98.9%
(*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))
✓98.6%
(*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 2 binary32)))))
100.0%
(pow.f32 alpha #s(literal 2 binary32))
99.7%
(log.f32 (pow.f32 alpha #s(literal 2 binary32)))
✓98.9%
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32))
✓98.7%
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (pow.f32 alpha #s(literal 2 binary32))))
99.7%
(log.f32 (*.f32 alpha alpha))
✓99.0%
(/.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
98.9%
(*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))
✓98.6%
(*.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32)))
✓99.4%
(/.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (log.f32 alpha)))
✓98.9%
(*.f32 (PI.f32) (log.f32 alpha))
99.6%
(*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)
99.4%
(*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta)
✓99.0%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
✓90.4%
(pow.f32 (*.f32 alpha alpha) (PI.f32))
Results
734.0ms256×256valid
Compiler

Compiled 313 to 134 computations (57.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 565.0ms
Operation ival-mult, time spent: 203.0ms, 36.0% of total-time
Operation composed, time spent: 168.0ms, 30.0% of total-time
Operation ival-log, time spent: 54.0ms, 10.0% of total-time
Operation ival-pow, time spent: 45.0ms, 8.0% of total-time
Operation ival-div, time spent: 39.0ms, 7.0% of total-time
Operation ival-add, time spent: 29.0ms, 5.0% of total-time
Operation ival-sub, time spent: 17.0ms, 3.0% of total-time
Operation const, time spent: 7.0ms, 1.0% of total-time
Operation ival-pi, time spent: 1.0ms, 0.0% of total-time
Operation ival-neg, time spent: 1.0ms, 0.0% of total-time

series40.0ms (0.3%)

Counts
11 → 142
Calls
Call 1
Inputs
#<alt (pow.f32 (*.f32 alpha alpha) (PI.f32))>
#<alt (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))>
#<alt (*.f32 (PI.f32) (log.f32 alpha))>
#<alt (/.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (log.f32 alpha)))>
#<alt (*.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32)))>
#<alt (/.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))>
#<alt (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (pow.f32 alpha #s(literal 2 binary32))))>
#<alt (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32))>
#<alt (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 2 binary32))))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))>
#<alt (/.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 2 binary32)))>
Outputs
#<alt (exp.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 alpha))))>
#<alt (exp.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 alpha))))>
#<alt (exp.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 alpha))))>
#<alt (exp.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 alpha))))>
#<alt (exp.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))>
#<alt (exp.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))>
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#<alt (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))))>
#<alt (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))))>
#<alt (*.f32 #s(literal -1/2 binary32) (/.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))>
#<alt (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))))>
#<alt (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))))>
#<alt (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))))>
#<alt (/.f32 #s(literal -1 binary32) (PI.f32))>
#<alt (-.f32 (/.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32)) (/.f32 #s(literal 1 binary32) (PI.f32)))>
#<alt (-.f32 (/.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32)) (/.f32 #s(literal 1 binary32) (PI.f32)))>
#<alt (-.f32 (/.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32)) (/.f32 #s(literal 1 binary32) (PI.f32)))>
#<alt (/.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))>
#<alt (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32)))))>
#<alt (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32)))))>
#<alt (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32)))))>
#<alt (/.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))>
#<alt (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32)))))>
#<alt (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32)))))>
#<alt (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32)))))>
#<alt #s(literal -1 binary32)>
#<alt (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32))>
#<alt (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32))>
#<alt (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32))>
#<alt (pow.f32 alpha #s(literal 2 binary32))>
#<alt (pow.f32 alpha #s(literal 2 binary32))>
#<alt (/.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))>
#<alt (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))))>
#<alt (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))))>
#<alt (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))))>
#<alt (*.f32 #s(literal -1/2 binary32) (/.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 (/.f32 #s(literal 1 binary32) alpha)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))))))>
#<alt (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 (/.f32 #s(literal 1 binary32) alpha)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))))))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 (/.f32 #s(literal 1 binary32) alpha)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))))))))>
#<alt (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 (/.f32 #s(literal 1 binary32) alpha)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))))))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 (/.f32 #s(literal 1 binary32) alpha)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))))))))>
#<alt (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 (/.f32 #s(literal 1 binary32) alpha)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))))))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 (/.f32 #s(literal 1 binary32) alpha)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))))))))>
#<alt (*.f32 #s(literal -1/2 binary32) (/.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))))))>
#<alt (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))))))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))))))))>
#<alt (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))))))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))))))))>
#<alt (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))))))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))))))))>
#<alt (/.f32 (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 2 binary32))))) (*.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32)))))>
#<alt (+.f32 (/.f32 (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 2 binary32)))))) (*.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32))))) (/.f32 (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 2 binary32))))) (*.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32))))))>
#<alt (+.f32 (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (/.f32 (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 2 binary32)))))) (*.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32))))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 2 binary32))))) (*.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32)))))))) (/.f32 (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 2 binary32))))) (*.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32))))))>
#<alt (+.f32 (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (/.f32 (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 2 binary32)))))) (*.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32))))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 2 binary32))))) (*.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32)))))))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 2 binary32))))) (*.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32)))))))) (/.f32 (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 2 binary32))))) (*.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32))))))>
#<alt (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 2 binary32))))) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32)))))))>
#<alt (/.f32 (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 2 binary32))))) (*.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32)))))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 2 binary32))))) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32)))))))) (pow.f32 cosTheta #s(literal 2 binary32)))>
#<alt (/.f32 (-.f32 (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 2 binary32))))) (*.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32)))))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 2 binary32))))) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (*.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32)))))))) (/.f32 (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 2 binary32))))) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32))))))) (pow.f32 cosTheta #s(literal 2 binary32)))>
#<alt (/.f32 (-.f32 (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 2 binary32))))) (*.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32)))))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 2 binary32))))) (*.f32 (pow.f32 cosTheta #s(literal 6 binary32)) (*.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32)))))))) (+.f32 (/.f32 (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 2 binary32))))) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32)))))) (/.f32 (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 2 binary32))))) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (*.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32)))))))) (pow.f32 cosTheta #s(literal 2 binary32)))>
#<alt (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 2 binary32))))) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32)))))))>
#<alt (/.f32 (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 2 binary32))))) (*.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32)))))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 2 binary32))))) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32)))))))) (pow.f32 cosTheta #s(literal 2 binary32)))>
#<alt (/.f32 (-.f32 (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 2 binary32))))) (*.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32)))))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 2 binary32))))) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (*.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32)))))))) (/.f32 (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 2 binary32))))) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32))))))) (pow.f32 cosTheta #s(literal 2 binary32)))>
#<alt (/.f32 (-.f32 (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 2 binary32))))) (*.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32)))))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 2 binary32))))) (*.f32 (pow.f32 cosTheta #s(literal 6 binary32)) (*.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32)))))))) (+.f32 (/.f32 (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 2 binary32))))) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32)))))) (/.f32 (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 2 binary32))))) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (*.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32)))))))) (pow.f32 cosTheta #s(literal 2 binary32)))>
Calls

42 calls:

TimeVariablePointExpression
6.0ms
alpha
@inf
(* (PI) (log alpha))
3.0ms
cosTheta
@0
(/ (* (pow alpha 2) (- 1 (/ 1 (pow alpha 2)))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (neg cosTheta) cosTheta))))
1.0ms
alpha
@0
(/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))))
1.0ms
cosTheta
@inf
(/ (* (pow alpha 2) (- 1 (/ 1 (pow alpha 2)))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (neg cosTheta) cosTheta))))
1.0ms
alpha
@-inf
(/ (* (+ alpha 1) (+ alpha -1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (neg cosTheta) cosTheta))))

rewrite124.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
350×log1p-expm1-u
350×expm1-log1p-u
342×add-exp-log
339×add-cube-cbrt
337×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
045439
1817396
Stop Event
1×node limit
Counts
11 → 219
Calls
Call 1
Inputs
(pow.f32 (*.f32 alpha alpha) (PI.f32))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(*.f32 (PI.f32) (log.f32 alpha))
(/.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (log.f32 alpha)))
(*.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32)))
(/.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (pow.f32 alpha #s(literal 2 binary32))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32))
(*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 2 binary32)))))
(/.f32 (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 2 binary32))))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
(/.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 2 binary32)))
Outputs
(-.f32 (exp.f32 (log1p.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))))
(*.f32 (cbrt.f32 (pow.f32 (pow.f32 alpha #s(literal 4 binary32)) (PI.f32))) (cbrt.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32)))))
(*.f32 (pow.f32 alpha (PI.f32)) (pow.f32 alpha (PI.f32)))
(*.f32 (pow.f32 #s(literal 1 binary32) (PI.f32)) (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))))
(*.f32 (pow.f32 (cbrt.f32 (pow.f32 alpha #s(literal 4 binary32))) (PI.f32)) (pow.f32 (pow.f32 (cbrt.f32 alpha) #s(literal 2 binary32)) (PI.f32)))
(sqrt.f32 (pow.f32 (pow.f32 alpha #s(literal 4 binary32)) (PI.f32)))
(log.f32 (exp.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32)))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))))))
(cbrt.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32)))))
(log1p.f32 (expm1.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32)))))
(exp.f32 (*.f32 (PI.f32) (*.f32 (log.f32 alpha) #s(literal 2 binary32))))
(-.f32 (/.f32 (pow.f32 alpha #s(literal 2 binary32)) (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32))))) (/.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32))))))
(-.f32 (exp.f32 (log1p.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32))))))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32))))))
(*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32))))))
(*.f32 (cbrt.f32 (pow.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32))))) #s(literal 2 binary32))) (cbrt.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))))))
(*.f32 (sqrt.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))))) (sqrt.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))))))
(pow.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32))))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32))))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))))) #s(literal 2 binary32))
(pow.f32 (/.f32 (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))) (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal -1 binary32))
(sqrt.f32 (pow.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32))))) #s(literal 2 binary32)))
(log.f32 (exp.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32))))))))
(cbrt.f32 (pow.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32))))) #s(literal 3 binary32)))
(cbrt.f32 (/.f32 (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 3 binary32)) (pow.f32 (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))) #s(literal 3 binary32))))
(cbrt.f32 (/.f32 (pow.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) #s(literal 2 binary32)))) #s(literal 3 binary32)) (pow.f32 (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))))))
(log1p.f32 (expm1.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))))))
(exp.f32 (log.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))))))
(exp.f32 (*.f32 (log.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (log.f32 (pow.f32 alpha (PI.f32))))) #s(literal 1 binary32))
(pow.f32 (log.f32 (pow.f32 alpha (PI.f32))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (log.f32 (pow.f32 alpha (PI.f32)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (log.f32 (pow.f32 alpha (PI.f32))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (log.f32 (pow.f32 alpha (PI.f32)))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (log.f32 (pow.f32 alpha (PI.f32))) #s(literal 2 binary32)))
(log.f32 (pow.f32 alpha (PI.f32)))
(log.f32 (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 alpha (PI.f32)) #s(literal 1 binary32))))
(cbrt.f32 (pow.f32 (log.f32 (pow.f32 alpha (PI.f32))) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (pow.f32 (log.f32 alpha) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (log.f32 alpha) #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (log.f32 (pow.f32 alpha (PI.f32)))))
(log1p.f32 (-.f32 (pow.f32 alpha (PI.f32)) #s(literal 1 binary32)))
(exp.f32 (log.f32 (log.f32 (pow.f32 alpha (PI.f32)))))
(exp.f32 (*.f32 (log.f32 (log.f32 (pow.f32 alpha (PI.f32)))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (/.f32 #s(literal -1/2 binary32) (log.f32 (pow.f32 alpha (PI.f32)))))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/2 binary32) (log.f32 (pow.f32 alpha (PI.f32)))))
(*.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1 binary32) (log.f32 (pow.f32 alpha (PI.f32)))))
(*.f32 (cbrt.f32 (/.f32 #s(literal 1/4 binary32) (pow.f32 (log.f32 (pow.f32 alpha (PI.f32))) #s(literal 2 binary32)))) (cbrt.f32 (/.f32 #s(literal -1/2 binary32) (log.f32 (pow.f32 alpha (PI.f32))))))
(*.f32 (sqrt.f32 (/.f32 #s(literal -1/2 binary32) (log.f32 (pow.f32 alpha (PI.f32))))) (sqrt.f32 (/.f32 #s(literal -1/2 binary32) (log.f32 (pow.f32 alpha (PI.f32))))))
(pow.f32 (/.f32 #s(literal -1/2 binary32) (log.f32 (pow.f32 alpha (PI.f32)))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (/.f32 #s(literal -1/2 binary32) (log.f32 (pow.f32 alpha (PI.f32))))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (/.f32 #s(literal -1/2 binary32) (log.f32 (pow.f32 alpha (PI.f32)))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (/.f32 #s(literal -1/2 binary32) (log.f32 (pow.f32 alpha (PI.f32))))) #s(literal 2 binary32))
(pow.f32 (/.f32 (log.f32 (pow.f32 alpha (PI.f32))) #s(literal -1/2 binary32)) #s(literal -1 binary32))
(sqrt.f32 (/.f32 #s(literal 1/4 binary32) (pow.f32 (log.f32 (pow.f32 alpha (PI.f32))) #s(literal 2 binary32))))
(log.f32 (exp.f32 (/.f32 #s(literal -1/2 binary32) (log.f32 (pow.f32 alpha (PI.f32))))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 #s(literal -1/2 binary32) (log.f32 (pow.f32 alpha (PI.f32)))))))
(cbrt.f32 (pow.f32 (/.f32 #s(literal -1/2 binary32) (log.f32 (pow.f32 alpha (PI.f32)))) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (/.f32 #s(literal -1/2 binary32) (log.f32 (pow.f32 alpha (PI.f32))))))
(log1p.f32 (expm1.f32 (/.f32 #s(literal -1/2 binary32) (log.f32 (pow.f32 alpha (PI.f32))))))
(exp.f32 (log.f32 (/.f32 #s(literal -1/2 binary32) (log.f32 (pow.f32 alpha (PI.f32))))))
(exp.f32 (*.f32 (log.f32 (/.f32 #s(literal -1/2 binary32) (log.f32 (pow.f32 alpha (PI.f32))))) #s(literal 1 binary32)))
(+.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal -1 binary32))
(+.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) alpha) (*.f32 (+.f32 alpha #s(literal 1 binary32)) #s(literal -1 binary32)))
(+.f32 (*.f32 alpha (+.f32 alpha #s(literal 1 binary32))) (*.f32 #s(literal -1 binary32) (+.f32 alpha #s(literal 1 binary32))))
(-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32))
(/.f32 (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 2 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32)))
(/.f32 (-.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal 1 binary32)) (+.f32 (pow.f32 alpha #s(literal 4 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)))))
(/.f32 (-.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal 1 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32)))
(/.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (+.f32 (pow.f32 alpha #s(literal 3 binary32)) #s(literal -1 binary32))) (*.f32 (+.f32 alpha #s(literal -1 binary32)) (fma.f32 alpha alpha (-.f32 #s(literal 1 binary32) (*.f32 alpha #s(literal -1 binary32))))))
(/.f32 (*.f32 (+.f32 (pow.f32 alpha #s(literal 3 binary32)) #s(literal 1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32))) (*.f32 (fma.f32 alpha alpha (-.f32 #s(literal 1 binary32) (*.f32 alpha #s(literal 1 binary32)))) (+.f32 alpha #s(literal 1 binary32))))
(/.f32 (*.f32 (+.f32 (pow.f32 alpha #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 (pow.f32 alpha #s(literal 3 binary32)) #s(literal -1 binary32))) (*.f32 (fma.f32 alpha alpha (-.f32 #s(literal 1 binary32) (*.f32 alpha #s(literal 1 binary32)))) (fma.f32 alpha alpha (-.f32 #s(literal 1 binary32) (*.f32 alpha #s(literal -1 binary32))))))
(/.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (+.f32 (pow.f32 alpha #s(literal 3 binary32)) #s(literal 1 binary32))) (*.f32 (+.f32 alpha #s(literal 1 binary32)) (fma.f32 alpha alpha (-.f32 #s(literal 1 binary32) (*.f32 alpha #s(literal 1 binary32))))))
(/.f32 (*.f32 (+.f32 (pow.f32 alpha #s(literal 3 binary32)) #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32))) (*.f32 (fma.f32 alpha alpha (-.f32 #s(literal 1 binary32) (*.f32 alpha #s(literal -1 binary32)))) (+.f32 alpha #s(literal -1 binary32))))
(/.f32 (*.f32 (+.f32 (pow.f32 alpha #s(literal 3 binary32)) #s(literal -1 binary32)) (+.f32 (pow.f32 alpha #s(literal 3 binary32)) #s(literal 1 binary32))) (*.f32 (fma.f32 alpha alpha (-.f32 #s(literal 1 binary32) (*.f32 alpha #s(literal -1 binary32)))) (fma.f32 alpha alpha (-.f32 #s(literal 1 binary32) (*.f32 alpha #s(literal 1 binary32))))))
(pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 2 binary32)))
(log.f32 (exp.f32 (fma.f32 alpha alpha #s(literal -1 binary32))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (fma.f32 alpha alpha #s(literal -1 binary32)))))
(cbrt.f32 (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 (+.f32 alpha #s(literal 1 binary32)) #s(literal 3 binary32)) (pow.f32 (+.f32 alpha #s(literal -1 binary32)) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (+.f32 alpha #s(literal -1 binary32)) #s(literal 3 binary32)) (pow.f32 (+.f32 alpha #s(literal 1 binary32)) #s(literal 3 binary32))))
(expm1.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)))
(log1p.f32 (expm1.f32 (fma.f32 alpha alpha #s(literal -1 binary32))))
(exp.f32 (log.f32 (fma.f32 alpha alpha #s(literal -1 binary32))))
(exp.f32 (*.f32 (log.f32 (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal 1 binary32)))
(fma.f32 alpha alpha #s(literal -1 binary32))
(fma.f32 alpha (+.f32 alpha #s(literal 1 binary32)) (*.f32 #s(literal -1 binary32) (+.f32 alpha #s(literal 1 binary32))))
(fma.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 2 binary32)) #s(literal -1 binary32))
(fma.f32 (+.f32 alpha #s(literal 1 binary32)) alpha (*.f32 (+.f32 alpha #s(literal 1 binary32)) #s(literal -1 binary32)))
(fma.f32 (cbrt.f32 (pow.f32 alpha #s(literal 4 binary32))) (pow.f32 (cbrt.f32 alpha) #s(literal 2 binary32)) #s(literal -1 binary32))
(-.f32 (exp.f32 (log1p.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 cosTheta cosTheta #s(literal 1 binary32))))))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 cosTheta cosTheta #s(literal 1 binary32))))))
(*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 cosTheta cosTheta #s(literal 1 binary32))))))
(*.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 cosTheta cosTheta #s(literal 1 binary32))))))
(*.f32 (cbrt.f32 (pow.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 cosTheta cosTheta #s(literal 1 binary32))))) #s(literal 2 binary32))) (cbrt.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 cosTheta cosTheta #s(literal 1 binary32)))))))
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(*.f32 (pow.f32 (pow.f32 (cbrt.f32 alpha) #s(literal 2 binary32)) #s(literal -2 binary32)) (pow.f32 (cbrt.f32 alpha) #s(literal -2 binary32)))
(*.f32 (pow.f32 (sqrt.f32 alpha) #s(literal -2 binary32)) (pow.f32 (sqrt.f32 alpha) #s(literal -2 binary32)))
(*.f32 (pow.f32 (cbrt.f32 (pow.f32 alpha #s(literal 4 binary32))) #s(literal -1 binary32)) (pow.f32 (pow.f32 (cbrt.f32 alpha) #s(literal 2 binary32)) #s(literal -1 binary32)))
(pow.f32 alpha #s(literal -2 binary32))
(pow.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal -1 binary32))
(pow.f32 (pow.f32 alpha #s(literal -2 binary32)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (pow.f32 alpha #s(literal -2 binary32))) #s(literal 3 binary32))
(pow.f32 (pow.f32 alpha #s(literal -6 binary32)) #s(literal 1/3 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) alpha) #s(literal 2 binary32))
(pow.f32 (/.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal -1 binary32))
(sqrt.f32 (pow.f32 alpha #s(literal -4 binary32)))
(log.f32 (exp.f32 (pow.f32 alpha #s(literal -2 binary32))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (pow.f32 alpha #s(literal -2 binary32)))))
(cbrt.f32 (pow.f32 alpha #s(literal -6 binary32)))
(expm1.f32 (log1p.f32 (pow.f32 alpha #s(literal -2 binary32))))
(log1p.f32 (expm1.f32 (pow.f32 alpha #s(literal -2 binary32))))
(exp.f32 (log.f32 (pow.f32 alpha #s(literal -2 binary32))))
(exp.f32 (*.f32 (log.f32 alpha) #s(literal -2 binary32)))
(exp.f32 (*.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)) #s(literal -1 binary32)))
(exp.f32 (*.f32 (log.f32 (pow.f32 alpha #s(literal -2 binary32))) #s(literal 1 binary32)))

simplify271.0ms (2%)

Algorithm
1×egg-herbie
Rules
1028×associate-/r*
924×times-frac
888×associate-*l*
828×associate-*r*
564×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
076425514
1195422114
Stop Event
1×node limit
Counts
361 → 441
Calls
Call 1
Inputs
(exp.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 alpha))))
(exp.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 alpha))))
(exp.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 alpha))))
(exp.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 alpha))))
(exp.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))
(exp.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))
(exp.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))
(exp.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))
(exp.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))
(exp.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))
(exp.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))
(exp.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))
(/.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))
(-.f32 (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))) (*.f32 #s(literal -1/2 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32)))))))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))))
(-.f32 (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))) (*.f32 #s(literal -1/2 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32))))))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))))))) (*.f32 #s(literal -1/2 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32)))))))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))))
(-.f32 (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 (/.f32 (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))) (*.f32 #s(literal -1/2 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32))))))))) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32))) (/.f32 (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))) (*.f32 #s(literal -1/2 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32)))))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))) (*.f32 #s(literal -1/2 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32)))))))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))))
(/.f32 #s(literal -1/2 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))
(-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))) (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))))))
(-.f32 (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))) (*.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))))) (*.f32 (pow.f32 alpha #s(literal 4 binary32)) (pow.f32 cosTheta #s(literal 2 binary32))))) (/.f32 #s(literal 1/2 binary32) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))))) (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))))))
(-.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))) (/.f32 (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))) (*.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))))) (*.f32 (pow.f32 alpha #s(literal 6 binary32)) (pow.f32 cosTheta #s(literal 4 binary32))))) (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))))) (+.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))) (*.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))))) (*.f32 (pow.f32 alpha #s(literal 4 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)))))))
(/.f32 #s(literal -1/2 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))
(-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))) (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))))))
(-.f32 (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))) (*.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))))) (*.f32 (pow.f32 alpha #s(literal 4 binary32)) (pow.f32 cosTheta #s(literal 2 binary32))))) (/.f32 #s(literal 1/2 binary32) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))))) (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))))))
(-.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))) (/.f32 (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))) (*.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))))) (*.f32 (pow.f32 alpha #s(literal 6 binary32)) (pow.f32 cosTheta #s(literal 4 binary32))))) (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))))) (+.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))) (*.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))))) (*.f32 (pow.f32 alpha #s(literal 4 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)))))))
(/.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))))
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(-.f32 (+.f32 (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (/.f32 (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 3 binary32))) (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32)))) (/.f32 (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 2 binary32)) (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32)))))) (/.f32 (pow.f32 alpha #s(literal 2 binary32)) (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))))) (/.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32)))))
(-.f32 (+.f32 (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 4 binary32))) (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))))) (*.f32 #s(literal -1 binary32) (/.f32 (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 3 binary32)) (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))))))) (/.f32 (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 2 binary32)) (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32)))))) (/.f32 (pow.f32 alpha #s(literal 2 binary32)) (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))))) (/.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32)))))
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(exp.f32 (-.f32 (log.f32 (/.f32 (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal -2 binary32)))) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) #s(literal 2 binary32))))) (log1p.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))
(exp.f32 (*.f32 (-.f32 (log.f32 (/.f32 (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal -2 binary32)))) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) #s(literal 2 binary32))))) (log1p.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 1 binary32)))
(-.f32 (+.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal -2 binary32))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal -2 binary32)))
(*.f32 (cbrt.f32 (pow.f32 alpha #s(literal -4 binary32))) (cbrt.f32 (pow.f32 alpha #s(literal -2 binary32))))
(*.f32 (/.f32 #s(literal 1 binary32) alpha) (/.f32 #s(literal 1 binary32) alpha))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 alpha) #s(literal 2 binary32)) #s(literal -2 binary32)) (pow.f32 (cbrt.f32 alpha) #s(literal -2 binary32)))
(*.f32 (pow.f32 (sqrt.f32 alpha) #s(literal -2 binary32)) (pow.f32 (sqrt.f32 alpha) #s(literal -2 binary32)))
(*.f32 (pow.f32 (cbrt.f32 (pow.f32 alpha #s(literal 4 binary32))) #s(literal -1 binary32)) (pow.f32 (pow.f32 (cbrt.f32 alpha) #s(literal 2 binary32)) #s(literal -1 binary32)))
(pow.f32 alpha #s(literal -2 binary32))
(pow.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal -1 binary32))
(pow.f32 (pow.f32 alpha #s(literal -2 binary32)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (pow.f32 alpha #s(literal -2 binary32))) #s(literal 3 binary32))
(pow.f32 (pow.f32 alpha #s(literal -6 binary32)) #s(literal 1/3 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) alpha) #s(literal 2 binary32))
(pow.f32 (/.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal -1 binary32))
(sqrt.f32 (pow.f32 alpha #s(literal -4 binary32)))
(log.f32 (exp.f32 (pow.f32 alpha #s(literal -2 binary32))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (pow.f32 alpha #s(literal -2 binary32)))))
(cbrt.f32 (pow.f32 alpha #s(literal -6 binary32)))
(expm1.f32 (log1p.f32 (pow.f32 alpha #s(literal -2 binary32))))
(log1p.f32 (expm1.f32 (pow.f32 alpha #s(literal -2 binary32))))
(exp.f32 (log.f32 (pow.f32 alpha #s(literal -2 binary32))))
(exp.f32 (*.f32 (log.f32 alpha) #s(literal -2 binary32)))
(exp.f32 (*.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)) #s(literal -1 binary32)))
(exp.f32 (*.f32 (log.f32 (pow.f32 alpha #s(literal -2 binary32))) #s(literal 1 binary32)))
Outputs
(exp.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 alpha))))
(pow.f32 (exp.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))
(pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))
(exp.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 alpha))))
(pow.f32 (exp.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))
(pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))
(exp.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 alpha))))
(pow.f32 (exp.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))
(pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))
(exp.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 alpha))))
(pow.f32 (exp.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))
(pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))
(exp.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))
(pow.f32 (exp.f32 #s(literal -2 binary32)) (*.f32 (PI.f32) (neg.f32 (log.f32 alpha))))
(exp.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))
(pow.f32 (exp.f32 #s(literal -2 binary32)) (*.f32 (PI.f32) (neg.f32 (log.f32 alpha))))
(exp.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))
(pow.f32 (exp.f32 #s(literal -2 binary32)) (*.f32 (PI.f32) (neg.f32 (log.f32 alpha))))
(exp.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))
(pow.f32 (exp.f32 #s(literal -2 binary32)) (*.f32 (PI.f32) (neg.f32 (log.f32 alpha))))
(exp.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))
(pow.f32 (exp.f32 #s(literal -2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))
(exp.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))
(pow.f32 (exp.f32 #s(literal -2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))
(exp.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))
(pow.f32 (exp.f32 #s(literal -2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))
(exp.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))
(pow.f32 (exp.f32 #s(literal -2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))
(/.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))
(/.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))))
(/.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))))
(-.f32 (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))) (*.f32 #s(literal -1/2 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32)))))))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))))
(-.f32 (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))))) (*.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (pow.f32 (+.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32)))))))) (/.f32 #s(literal 1/2 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))))))
(fma.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (log.f32 alpha) (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (log.f32 alpha) (*.f32 (PI.f32) (pow.f32 (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) #s(literal 2 binary32))))))) (/.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))
(-.f32 (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))) (*.f32 #s(literal -1/2 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32))))))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))))))) (*.f32 #s(literal -1/2 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32)))))))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))))
(-.f32 (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (+.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (pow.f32 cosTheta #s(literal 2 binary32))) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))))) (*.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (pow.f32 (+.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32)))))))) (+.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))) (/.f32 #s(literal 1/2 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))))) (*.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (pow.f32 (+.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32)))))))) (/.f32 #s(literal 1/2 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))))))
(fma.f32 (pow.f32 alpha #s(literal 2 binary32)) (+.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (*.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (log.f32 alpha) (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (log.f32 alpha) (*.f32 (PI.f32) (pow.f32 (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) #s(literal 2 binary32))))))) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))))) (/.f32 (*.f32 #s(literal 1/2 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) (*.f32 (log.f32 alpha) (*.f32 (PI.f32) (pow.f32 (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) #s(literal 2 binary32)))))) (/.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))
(-.f32 (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 (/.f32 (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))) (*.f32 #s(literal -1/2 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32))))))))) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32))) (/.f32 (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))) (*.f32 #s(literal -1/2 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32)))))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))) (*.f32 #s(literal -1/2 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32)))))))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))))
(-.f32 (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))))) (-.f32 (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 (/.f32 (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))))) (*.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (pow.f32 (+.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32))))))) (pow.f32 cosTheta #s(literal 4 binary32)))) (pow.f32 (+.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32))) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))))) (*.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (pow.f32 (+.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32))))))) (+.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))))) (*.f32 #s(literal -1/2 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (pow.f32 (+.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32))))))))) (/.f32 #s(literal 1/2 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))))))
(fma.f32 (pow.f32 alpha #s(literal 2 binary32)) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))) (fma.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 (*.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (log.f32 alpha) (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (log.f32 alpha) (*.f32 (PI.f32) (pow.f32 (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) #s(literal 2 binary32))))))) (pow.f32 cosTheta #s(literal 4 binary32))) (/.f32 (pow.f32 alpha #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) #s(literal 2 binary32)))) (*.f32 (*.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (log.f32 alpha) (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (log.f32 alpha) (*.f32 (PI.f32) (pow.f32 (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) #s(literal 2 binary32))))))) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))) (/.f32 (*.f32 #s(literal 1/2 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) (*.f32 (log.f32 alpha) (*.f32 (PI.f32) (pow.f32 (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) #s(literal 2 binary32))))))) (/.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))
(/.f32 #s(literal -1/2 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))
(/.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (PI.f32) (neg.f32 (log.f32 alpha))) (pow.f32 cosTheta #s(literal 2 binary32))))
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(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal -2 binary32))) (/.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))) (*.f32 (log.f32 alpha) (*.f32 #s(literal 2 binary32) (fma.f32 cosTheta cosTheta #s(literal 1 binary32)))))
(pow.f32 (/.f32 (*.f32 alpha (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal -2 binary32))))) (*.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 (log.f32 alpha) #s(literal 2 binary32)))) (hypot.f32 #s(literal 1 binary32) cosTheta))) #s(literal 2 binary32))
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(*.f32 (pow.f32 alpha #s(literal 2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal -2 binary32))) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (*.f32 #s(literal 2 binary32) (fma.f32 cosTheta cosTheta #s(literal 1 binary32)))))))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal -2 binary32))) (/.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))) (*.f32 (log.f32 alpha) (*.f32 #s(literal 2 binary32) (fma.f32 cosTheta cosTheta #s(literal 1 binary32)))))
(sqrt.f32 (pow.f32 (*.f32 (/.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) #s(literal 2 binary32)))) (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal -2 binary32))) (fma.f32 cosTheta cosTheta #s(literal 1 binary32)))) #s(literal 2 binary32)))
(sqrt.f32 (pow.f32 (*.f32 (/.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 alpha)))) (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal -2 binary32))) (fma.f32 cosTheta cosTheta #s(literal 1 binary32)))) #s(literal 2 binary32)))
(fabs.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal -2 binary32))) (/.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))) (*.f32 (log.f32 alpha) (*.f32 #s(literal 2 binary32) (fma.f32 cosTheta cosTheta #s(literal 1 binary32))))))
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(log.f32 (pow.f32 (exp.f32 (pow.f32 alpha #s(literal 2 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal -2 binary32))) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (*.f32 #s(literal 2 binary32) (fma.f32 cosTheta cosTheta #s(literal 1 binary32))))))))
(log.f32 (pow.f32 (exp.f32 (pow.f32 alpha #s(literal 2 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal -2 binary32))) (*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (PI.f32) (log.f32 alpha)) (fma.f32 cosTheta cosTheta #s(literal 1 binary32)))))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 (/.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) #s(literal 2 binary32)))) (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal -2 binary32))) (fma.f32 cosTheta cosTheta #s(literal 1 binary32)))))))
(*.f32 (pow.f32 alpha #s(literal 2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal -2 binary32))) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (*.f32 #s(literal 2 binary32) (fma.f32 cosTheta cosTheta #s(literal 1 binary32)))))))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal -2 binary32))) (/.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))) (*.f32 (log.f32 alpha) (*.f32 #s(literal 2 binary32) (fma.f32 cosTheta cosTheta #s(literal 1 binary32)))))
(cbrt.f32 (pow.f32 (*.f32 (/.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) #s(literal 2 binary32)))) (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal -2 binary32))) (fma.f32 cosTheta cosTheta #s(literal 1 binary32)))) #s(literal 3 binary32)))
(*.f32 (pow.f32 alpha #s(literal 2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal -2 binary32))) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (*.f32 #s(literal 2 binary32) (fma.f32 cosTheta cosTheta #s(literal 1 binary32)))))))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal -2 binary32))) (/.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))) (*.f32 (log.f32 alpha) (*.f32 #s(literal 2 binary32) (fma.f32 cosTheta cosTheta #s(literal 1 binary32)))))
(cbrt.f32 (/.f32 (pow.f32 (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal -2 binary32)))) #s(literal 3 binary32)) (pow.f32 (*.f32 (PI.f32) (*.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 cosTheta cosTheta #s(literal 1 binary32)))) #s(literal 3 binary32))))
(cbrt.f32 (/.f32 (pow.f32 (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal -2 binary32)))) #s(literal 3 binary32)) (pow.f32 (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (*.f32 #s(literal 2 binary32) (fma.f32 cosTheta cosTheta #s(literal 1 binary32))))) #s(literal 3 binary32))))
(cbrt.f32 (/.f32 (pow.f32 (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal -2 binary32)))) #s(literal 3 binary32)) (pow.f32 (*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (PI.f32) (log.f32 alpha)) (fma.f32 cosTheta cosTheta #s(literal 1 binary32)))) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (*.f32 (/.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) #s(literal 2 binary32)))) (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal -2 binary32))) (fma.f32 cosTheta cosTheta #s(literal 1 binary32))))))
(expm1.f32 (log1p.f32 (*.f32 (/.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 alpha)))) (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal -2 binary32))) (fma.f32 cosTheta cosTheta #s(literal 1 binary32))))))
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(*.f32 (pow.f32 alpha #s(literal 2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal -2 binary32))) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (*.f32 #s(literal 2 binary32) (fma.f32 cosTheta cosTheta #s(literal 1 binary32)))))))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal -2 binary32))) (/.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))) (*.f32 (log.f32 alpha) (*.f32 #s(literal 2 binary32) (fma.f32 cosTheta cosTheta #s(literal 1 binary32)))))
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(*.f32 (pow.f32 alpha #s(literal 2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal -2 binary32))) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (*.f32 #s(literal 2 binary32) (fma.f32 cosTheta cosTheta #s(literal 1 binary32)))))))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal -2 binary32))) (/.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))) (*.f32 (log.f32 alpha) (*.f32 #s(literal 2 binary32) (fma.f32 cosTheta cosTheta #s(literal 1 binary32)))))
(exp.f32 (*.f32 (-.f32 (log.f32 (/.f32 (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal -2 binary32)))) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) #s(literal 2 binary32))))) (log1p.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 1 binary32)))
(*.f32 (pow.f32 alpha #s(literal 2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal -2 binary32))) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (*.f32 #s(literal 2 binary32) (fma.f32 cosTheta cosTheta #s(literal 1 binary32)))))))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal -2 binary32))) (/.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))) (*.f32 (log.f32 alpha) (*.f32 #s(literal 2 binary32) (fma.f32 cosTheta cosTheta #s(literal 1 binary32)))))
(-.f32 (+.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal -2 binary32))) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 alpha #s(literal -2 binary32)) #s(literal 1 binary32)))
(+.f32 (pow.f32 alpha #s(literal -2 binary32)) #s(literal 0 binary32))
(*.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal -2 binary32)))
(pow.f32 alpha #s(literal -2 binary32))
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(*.f32 (/.f32 #s(literal 1 binary32) alpha) (/.f32 #s(literal 1 binary32) alpha))
(pow.f32 alpha #s(literal -2 binary32))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 alpha) #s(literal 2 binary32)) #s(literal -2 binary32)) (pow.f32 (cbrt.f32 alpha) #s(literal -2 binary32)))
(*.f32 (pow.f32 (sqrt.f32 alpha) #s(literal -2 binary32)) (pow.f32 (sqrt.f32 alpha) #s(literal -2 binary32)))
(pow.f32 (sqrt.f32 alpha) #s(literal -4 binary32))
(*.f32 (pow.f32 (cbrt.f32 (pow.f32 alpha #s(literal 4 binary32))) #s(literal -1 binary32)) (pow.f32 (pow.f32 (cbrt.f32 alpha) #s(literal 2 binary32)) #s(literal -1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (cbrt.f32 (pow.f32 alpha #s(literal 4 binary32)))) (/.f32 #s(literal 1 binary32) (pow.f32 (cbrt.f32 alpha) #s(literal 2 binary32))))
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (cbrt.f32 (pow.f32 alpha #s(literal 4 binary32)))) #s(literal 1 binary32)) (pow.f32 (cbrt.f32 alpha) #s(literal 2 binary32)))
(pow.f32 alpha #s(literal -2 binary32))
(pow.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal -1 binary32))
(pow.f32 alpha #s(literal -2 binary32))
(pow.f32 (pow.f32 alpha #s(literal -2 binary32)) #s(literal 1 binary32))
(pow.f32 alpha #s(literal -2 binary32))
(pow.f32 (cbrt.f32 (pow.f32 alpha #s(literal -2 binary32))) #s(literal 3 binary32))
(pow.f32 alpha #s(literal -2 binary32))
(pow.f32 (pow.f32 alpha #s(literal -6 binary32)) #s(literal 1/3 binary32))
(cbrt.f32 (pow.f32 alpha #s(literal -6 binary32)))
(pow.f32 (/.f32 #s(literal 1 binary32) alpha) #s(literal 2 binary32))
(pow.f32 alpha #s(literal -2 binary32))
(pow.f32 (/.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 alpha #s(literal -2 binary32))
(sqrt.f32 (pow.f32 alpha #s(literal -4 binary32)))
(log.f32 (exp.f32 (pow.f32 alpha #s(literal -2 binary32))))
(pow.f32 alpha #s(literal -2 binary32))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (pow.f32 alpha #s(literal -2 binary32)))))
(pow.f32 alpha #s(literal -2 binary32))
(cbrt.f32 (pow.f32 alpha #s(literal -6 binary32)))
(expm1.f32 (log1p.f32 (pow.f32 alpha #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 alpha #s(literal -2 binary32)) #s(literal 1 binary32)))
(+.f32 (pow.f32 alpha #s(literal -2 binary32)) #s(literal 0 binary32))
(log1p.f32 (expm1.f32 (pow.f32 alpha #s(literal -2 binary32))))
(pow.f32 alpha #s(literal -2 binary32))
(exp.f32 (log.f32 (pow.f32 alpha #s(literal -2 binary32))))
(pow.f32 alpha #s(literal -2 binary32))
(exp.f32 (*.f32 (log.f32 alpha) #s(literal -2 binary32)))
(pow.f32 alpha #s(literal -2 binary32))
(exp.f32 (*.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)) #s(literal -1 binary32)))
(pow.f32 alpha #s(literal -2 binary32))
(exp.f32 (*.f32 (log.f32 (pow.f32 alpha #s(literal -2 binary32))) #s(literal 1 binary32)))
(pow.f32 alpha #s(literal -2 binary32))

eval429.0ms (3.1%)

Compiler

Compiled 19722 to 12777 computations (35.2% saved)

prune225.0ms (1.6%)

Pruning

32 alts after pruning (28 fresh and 4 done)

PrunedKeptTotal
New69912711
Fresh81624
Picked325
Done022
Total71032742
Accuracy
100.0%
Counts
742 → 32
Alt Table
Click to see full alt table
StatusAccuracyProgram
95.0%
(pow.f32 (cbrt.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) #s(literal 2 binary32))))) #s(literal 3 binary32))
95.8%
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (*.f32 (log.f32 alpha) #s(literal 2 binary32)))
97.2%
(/.f32 (/.f32 (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 2 binary32)) (*.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32)))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
▶65.7%
(/.f32 (/.f32 #s(literal -1/2 binary32) (PI.f32)) (log.f32 alpha))
97.5%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))) #s(literal 3 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
▶96.7%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))) #s(literal 3 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
▶97.5%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
98.4%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal -2 binary32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
97.5%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal -2 binary32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
✓98.6%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
✓97.7%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
27.4%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (log1p.f32 (-.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)) #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
97.9%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
▶98.7%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (log.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
97.2%
(/.f32 (+.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) alpha) (*.f32 (+.f32 alpha #s(literal 1 binary32)) #s(literal -1 binary32))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
95.4%
(/.f32 (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))))) (log.f32 (pow.f32 alpha #s(literal 2 binary32))))
97.2%
(/.f32 (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal -2 binary32)))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
97.4%
(/.f32 (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha)))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
96.8%
(/.f32 (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) alpha) (/.f32 #s(literal 1 binary32) alpha)))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
98.3%
(/.f32 (*.f32 (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) #s(literal 1 binary32)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))
98.1%
(/.f32 (*.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (PI.f32))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))
95.4%
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal -2 binary32))) (/.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))) (log.f32 (pow.f32 alpha #s(literal 2 binary32))))
✓97.2%
(/.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
65.7%
(/.f32 #s(literal 1/2 binary32) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))
✓65.7%
(/.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (log.f32 alpha)))
65.7%
(/.f32 #s(literal -1/2 binary32) (log.f32 (pow.f32 alpha (PI.f32))))
66.5%
(/.f32 #s(literal -1 binary32) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
95.9%
(*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))))
▶95.8%
(*.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (/.f32 #s(literal 1 binary32) (*.f32 (log.f32 alpha) #s(literal 2 binary32))))
95.7%
(*.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))) (-.f32 alpha #s(literal 1 binary32)))
95.7%
(*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 alpha #s(literal 1 binary32))) (*.f32 (PI.f32) (log.f32 alpha))))
95.6%
(*.f32 #s(literal 1/2 binary32) (*.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 alpha)))))
Compiler

Compiled 1236 to 930 computations (24.8% saved)

localize805.0ms (5.8%)

Localize:

Found 16 expressions with local error:

NewAccuracyProgram
✓99.4%
(cbrt.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))))
✓99.0%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))) #s(literal 3 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
98.9%
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))
✓97.8%
(pow.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))) #s(literal 3 binary32))
✓99.0%
(/.f32 #s(literal 1 binary32) (*.f32 (log.f32 alpha) #s(literal 2 binary32)))
✓98.9%
(*.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (/.f32 #s(literal 1 binary32) (*.f32 (log.f32 alpha) #s(literal 2 binary32))))
98.9%
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32))
✓99.9%
(*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta)))
99.7%
(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))
✓99.0%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
98.9%
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))
✓98.4%
(/.f32 (/.f32 #s(literal -1/2 binary32) (PI.f32)) (log.f32 alpha))
99.6%
(*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)
99.4%
(*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta)
✓99.0%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (log.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
✓90.4%
(pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32)))
Results
583.0ms256×256valid
Compiler

Compiled 314 to 156 computations (50.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 321.0ms
Operation ival-mult, time spent: 160.0ms, 50.0% of total-time
Operation ival-pow, time spent: 58.0ms, 18.0% of total-time
Operation ival-div, time spent: 20.0ms, 6.0% of total-time
Operation ival-add, time spent: 17.0ms, 5.0% of total-time
Operation ival-log, time spent: 17.0ms, 5.0% of total-time
Operation ival-sub, time spent: 14.0ms, 4.0% of total-time
Operation composed, time spent: 13.0ms, 4.0% of total-time
Operation ival-cbrt, time spent: 8.0ms, 2.0% of total-time
Operation const, time spent: 8.0ms, 2.0% of total-time
Operation ival-pi, time spent: 4.0ms, 1.0% of total-time
Operation ival-neg, time spent: 1.0ms, 0.0% of total-time

series68.0ms (0.5%)

Counts
10 → 168
Calls
Call 1
Inputs
#<alt (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32)))>
#<alt (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (log.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))>
#<alt (/.f32 (/.f32 #s(literal -1/2 binary32) (PI.f32)) (log.f32 alpha))>
#<alt (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))>
#<alt (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta)))>
#<alt (*.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (/.f32 #s(literal 1 binary32) (*.f32 (log.f32 alpha) #s(literal 2 binary32))))>
#<alt (/.f32 #s(literal 1 binary32) (*.f32 (log.f32 alpha) #s(literal 2 binary32)))>
#<alt (pow.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))) #s(literal 3 binary32))>
#<alt (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))) #s(literal 3 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))>
#<alt (cbrt.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))))>
Outputs
#<alt (exp.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 alpha))))>
#<alt (exp.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 alpha))))>
#<alt (exp.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 alpha))))>
#<alt (exp.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 alpha))))>
#<alt (exp.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))>
#<alt (exp.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))>
#<alt (exp.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))>
#<alt (exp.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))>
#<alt (exp.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (+.f32 (log.f32 #s(literal -1 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))))>
#<alt (exp.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (+.f32 (log.f32 #s(literal -1 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))))>
#<alt (exp.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (+.f32 (log.f32 #s(literal -1 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))))>
#<alt (exp.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (+.f32 (log.f32 #s(literal -1 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))))>
#<alt (/.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))>
#<alt (-.f32 (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))) (*.f32 #s(literal -1/2 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32)))))))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))))>
#<alt (-.f32 (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))) (*.f32 #s(literal -1/2 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32))))))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))))))) (*.f32 #s(literal -1/2 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32)))))))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))))>
#<alt (-.f32 (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 (/.f32 (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))) (*.f32 #s(literal -1/2 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32))))))))) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32))) (/.f32 (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))) (*.f32 #s(literal -1/2 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32)))))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))) (*.f32 #s(literal -1/2 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32)))))))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))))>
#<alt (/.f32 #s(literal -1/2 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))>
#<alt (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))) (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))))))>
#<alt (-.f32 (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))) (*.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))))) (*.f32 (pow.f32 alpha #s(literal 4 binary32)) (pow.f32 cosTheta #s(literal 2 binary32))))) (/.f32 #s(literal 1/2 binary32) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))))) (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))))))>
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#<alt (/.f32 (-.f32 (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) (*.f32 (PI.f32) (*.f32 (pow.f32 (cbrt.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (log.f32 alpha))))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (pow.f32 (cbrt.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (log.f32 alpha))))) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (*.f32 (PI.f32) (*.f32 (pow.f32 (cbrt.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (log.f32 alpha))))))) (+.f32 (/.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (pow.f32 (cbrt.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (log.f32 alpha))))) (/.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (*.f32 (PI.f32) (*.f32 (pow.f32 (cbrt.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (log.f32 alpha))))))) (pow.f32 cosTheta #s(literal 2 binary32)))>
#<alt (/.f32 (-.f32 (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) (*.f32 (PI.f32) (*.f32 (pow.f32 (cbrt.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (log.f32 alpha))))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (pow.f32 (cbrt.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (log.f32 alpha))))) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 6 binary32)) (*.f32 (PI.f32) (*.f32 (pow.f32 (cbrt.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (log.f32 alpha))))))) (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (pow.f32 (cbrt.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (log.f32 alpha)))) (/.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (pow.f32 (cbrt.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (log.f32 alpha))))) (pow.f32 cosTheta #s(literal 4 binary32)))) (+.f32 (/.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (pow.f32 (cbrt.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (log.f32 alpha))))) (/.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 6 binary32)) (*.f32 (PI.f32) (*.f32 (pow.f32 (cbrt.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (log.f32 alpha)))))))) (pow.f32 cosTheta #s(literal 2 binary32)))>
#<alt (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (pow.f32 (cbrt.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (log.f32 alpha))))))>
#<alt (/.f32 (-.f32 (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) (*.f32 (PI.f32) (*.f32 (pow.f32 (cbrt.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (log.f32 alpha))))) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (pow.f32 (cbrt.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (log.f32 alpha)))))) (/.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (pow.f32 (cbrt.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (log.f32 alpha)))))) (pow.f32 cosTheta #s(literal 2 binary32)))>
#<alt (/.f32 (-.f32 (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) (*.f32 (PI.f32) (*.f32 (pow.f32 (cbrt.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (log.f32 alpha))))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (pow.f32 (cbrt.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (log.f32 alpha))))) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (*.f32 (PI.f32) (*.f32 (pow.f32 (cbrt.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (log.f32 alpha))))))) (+.f32 (/.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (pow.f32 (cbrt.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (log.f32 alpha))))) (/.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (*.f32 (PI.f32) (*.f32 (pow.f32 (cbrt.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (log.f32 alpha))))))) (pow.f32 cosTheta #s(literal 2 binary32)))>
#<alt (/.f32 (-.f32 (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) (*.f32 (PI.f32) (*.f32 (pow.f32 (cbrt.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (log.f32 alpha))))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (pow.f32 (cbrt.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (log.f32 alpha))))) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 6 binary32)) (*.f32 (PI.f32) (*.f32 (pow.f32 (cbrt.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (log.f32 alpha))))))) (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (pow.f32 (cbrt.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (log.f32 alpha)))) (/.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (pow.f32 (cbrt.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (log.f32 alpha))))) (pow.f32 cosTheta #s(literal 4 binary32)))) (+.f32 (/.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (pow.f32 (cbrt.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (log.f32 alpha))))) (/.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 6 binary32)) (*.f32 (PI.f32) (*.f32 (pow.f32 (cbrt.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (log.f32 alpha)))))))) (pow.f32 cosTheta #s(literal 2 binary32)))>
#<alt (*.f32 (cbrt.f32 (*.f32 (PI.f32) (log.f32 alpha))) (cbrt.f32 #s(literal 2 binary32)))>
#<alt (*.f32 (cbrt.f32 (*.f32 (PI.f32) (log.f32 alpha))) (cbrt.f32 #s(literal 2 binary32)))>
#<alt (*.f32 (cbrt.f32 (*.f32 (PI.f32) (log.f32 alpha))) (cbrt.f32 #s(literal 2 binary32)))>
#<alt (*.f32 (cbrt.f32 (*.f32 (PI.f32) (log.f32 alpha))) (cbrt.f32 #s(literal 2 binary32)))>
#<alt (*.f32 (cbrt.f32 (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))) (*.f32 (cbrt.f32 #s(literal -1 binary32)) (cbrt.f32 #s(literal 2 binary32))))>
#<alt (*.f32 (cbrt.f32 (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))) (*.f32 (cbrt.f32 #s(literal -1 binary32)) (cbrt.f32 #s(literal 2 binary32))))>
#<alt (*.f32 (cbrt.f32 (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))) (*.f32 (cbrt.f32 #s(literal -1 binary32)) (cbrt.f32 #s(literal 2 binary32))))>
#<alt (*.f32 (cbrt.f32 (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))) (*.f32 (cbrt.f32 #s(literal -1 binary32)) (cbrt.f32 #s(literal 2 binary32))))>
#<alt (*.f32 (cbrt.f32 (*.f32 (PI.f32) (+.f32 (log.f32 #s(literal -1 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))) (cbrt.f32 #s(literal 2 binary32)))>
#<alt (*.f32 (cbrt.f32 (*.f32 (PI.f32) (+.f32 (log.f32 #s(literal -1 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))) (cbrt.f32 #s(literal 2 binary32)))>
#<alt (*.f32 (cbrt.f32 (*.f32 (PI.f32) (+.f32 (log.f32 #s(literal -1 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))) (cbrt.f32 #s(literal 2 binary32)))>
#<alt (*.f32 (cbrt.f32 (*.f32 (PI.f32) (+.f32 (log.f32 #s(literal -1 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))) (cbrt.f32 #s(literal 2 binary32)))>
Calls

42 calls:

TimeVariablePointExpression
7.0ms
alpha
@0
(pow (cbrt (* (PI) (* 2 (log alpha)))) 3)
5.0ms
cosTheta
@inf
(/ (- (* alpha alpha) 1) (* (* (PI) (* 2 (log alpha))) (+ 1 (* (neg cosTheta) cosTheta))))
4.0ms
cosTheta
@0
(* (* (PI) (* 2 (log alpha))) (+ 1 (* (neg cosTheta) cosTheta)))
3.0ms
alpha
@-inf
(cbrt (* (PI) (* 2 (log alpha))))
3.0ms
alpha
@-inf
(/ (- (* alpha alpha) 1) (* (log (pow alpha (* 2 (PI)))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))))

rewrite127.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
438×times-frac
302×frac-times
288×log1p-expm1-u
288×expm1-log1p-u
283×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
044426
1754395
Stop Event
1×node limit
Counts
10 → 329
Calls
Call 1
Inputs
(pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32)))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (log.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (/.f32 #s(literal -1/2 binary32) (PI.f32)) (log.f32 alpha))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
(*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta)))
(*.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (/.f32 #s(literal 1 binary32) (*.f32 (log.f32 alpha) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (*.f32 (log.f32 alpha) #s(literal 2 binary32)))
(pow.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))) #s(literal 3 binary32))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))) #s(literal 3 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
(cbrt.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))))
Outputs
(-.f32 (exp.f32 (log1p.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))))
(*.f32 (cbrt.f32 (pow.f32 (pow.f32 alpha #s(literal 4 binary32)) (PI.f32))) (cbrt.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32)))))
(*.f32 (sqrt.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32)))) (sqrt.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32)))))
(*.f32 (pow.f32 alpha (PI.f32)) (pow.f32 alpha (PI.f32)))
(*.f32 (pow.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (PI.f32))) (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 alpha) #s(literal 2 binary32)) (*.f32 #s(literal 2 binary32) (PI.f32))) (pow.f32 (cbrt.f32 alpha) (*.f32 #s(literal 2 binary32) (PI.f32))))
(*.f32 (pow.f32 (sqrt.f32 alpha) (*.f32 #s(literal 2 binary32) (PI.f32))) (pow.f32 (sqrt.f32 alpha) (*.f32 #s(literal 2 binary32) (PI.f32))))
(*.f32 (pow.f32 #s(literal 1 binary32) (PI.f32)) (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))))
(*.f32 (pow.f32 (cbrt.f32 (pow.f32 alpha #s(literal 4 binary32))) (PI.f32)) (pow.f32 (pow.f32 (cbrt.f32 alpha) #s(literal 2 binary32)) (PI.f32)))
(sqrt.f32 (pow.f32 (pow.f32 alpha #s(literal 4 binary32)) (PI.f32)))
(log.f32 (exp.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32)))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))))))
(cbrt.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32)))))
(log1p.f32 (expm1.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32)))))
(exp.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))))
(-.f32 (/.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))))) (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))))))
(-.f32 (exp.f32 (log1p.f32 (/.f32 (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32))))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (/.f32 (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32))))
(*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))))))
(*.f32 (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32))))
(*.f32 (cbrt.f32 (pow.f32 (/.f32 (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32))) #s(literal 2 binary32))) (cbrt.f32 (/.f32 (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))))
(*.f32 (sqrt.f32 (/.f32 (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))) (sqrt.f32 (/.f32 (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))))
(*.f32 (neg.f32 (fma.f32 alpha alpha #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (neg.f32 (*.f32 (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32))))
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32))) (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (*.f32 #s(literal 2 binary32) (log.f32 alpha))))
(*.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (cbrt.f32 (*.f32 (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))))) #s(literal 2 binary32))) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (cbrt.f32 (*.f32 (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))))))
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (*.f32 (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))))) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (sqrt.f32 (*.f32 (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal 2 binary32)) #s(literal 1 binary32)) (/.f32 (cbrt.f32 (fma.f32 alpha alpha #s(literal -1 binary32))) (*.f32 (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal 2 binary32)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32))) (/.f32 (cbrt.f32 (fma.f32 alpha alpha #s(literal -1 binary32))) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))))
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(pow.f32 (pow.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 cosTheta cosTheta #s(literal 1 binary32))))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (/.f32 (sqrt.f32 (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))) (hypot.f32 #s(literal 1 binary32) cosTheta)) #s(literal 2 binary32))
(pow.f32 (/.f32 (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 cosTheta cosTheta #s(literal 1 binary32)))) (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal -1 binary32))
(sqrt.f32 (pow.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 cosTheta cosTheta #s(literal 1 binary32))))) #s(literal 2 binary32)))
(log.f32 (exp.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 cosTheta cosTheta #s(literal 1 binary32)))))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 cosTheta cosTheta #s(literal 1 binary32))))))))
(cbrt.f32 (pow.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 cosTheta cosTheta #s(literal 1 binary32))))) #s(literal 3 binary32)))
(cbrt.f32 (/.f32 (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 3 binary32)) (pow.f32 (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 cosTheta cosTheta #s(literal 1 binary32)))) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 cosTheta cosTheta #s(literal 1 binary32)))))))
(log1p.f32 (expm1.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 cosTheta cosTheta #s(literal 1 binary32)))))))
(exp.f32 (-.f32 (log.f32 (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))) (log1p.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))
(exp.f32 (*.f32 (-.f32 (log.f32 (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))) (log1p.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (cbrt.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))))
(*.f32 (cbrt.f32 (PI.f32)) (cbrt.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha))))
(*.f32 (cbrt.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (cbrt.f32 (PI.f32)))
(*.f32 (cbrt.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))))) (cbrt.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))) #s(literal 2 binary32))))
(*.f32 (cbrt.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))))) (pow.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))) #s(literal 2 binary32)) #s(literal 1/3 binary32)))
(*.f32 (cbrt.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))) #s(literal 2 binary32))) (cbrt.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))))))
(*.f32 (cbrt.f32 (*.f32 #s(literal 2 binary32) (PI.f32))) (cbrt.f32 (log.f32 alpha)))
(*.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) #s(literal 1/6 binary32)) (pow.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) #s(literal 1/6 binary32)))
(*.f32 (pow.f32 #s(literal 1 binary32) #s(literal 1/3 binary32)) (cbrt.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))) #s(literal 2 binary32)) #s(literal 1/3 binary32)) (cbrt.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))))))
(*.f32 (pow.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))) #s(literal 1/3 binary32)) (pow.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))) #s(literal 1/3 binary32)))
(pow.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) #s(literal 1/3 binary32))
(pow.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) #s(literal 1/6 binary32)) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))) #s(literal 2 binary32)))
(log.f32 (exp.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))))))
(expm1.f32 (log1p.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))))))
(log1p.f32 (expm1.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))))))
(exp.f32 (log.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))))))
(exp.f32 (*.f32 (log.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))) #s(literal 1/3 binary32)))
(exp.f32 (*.f32 (log.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))))) #s(literal 1 binary32)))

simplify466.0ms (3.4%)

Algorithm
1×egg-herbie
Rules
1656×times-frac
1342×associate-*r*
1106×associate-*l*
524×fma-define
506×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
099638143
1275333455
Stop Event
1×node limit
Counts
497 → 579
Calls
Call 1
Inputs
(exp.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 alpha))))
(exp.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 alpha))))
(exp.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 alpha))))
(exp.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 alpha))))
(exp.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))
(exp.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))
(exp.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))
(exp.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))
(exp.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (+.f32 (log.f32 #s(literal -1 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))))
(exp.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (+.f32 (log.f32 #s(literal -1 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))))
(exp.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (+.f32 (log.f32 #s(literal -1 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))))
(exp.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (+.f32 (log.f32 #s(literal -1 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))))
(/.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))
(-.f32 (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))) (*.f32 #s(literal -1/2 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32)))))))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))))
(-.f32 (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))) (*.f32 #s(literal -1/2 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32))))))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))))))) (*.f32 #s(literal -1/2 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32)))))))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))))
(-.f32 (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 (/.f32 (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))) (*.f32 #s(literal -1/2 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32))))))))) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32))) (/.f32 (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))) (*.f32 #s(literal -1/2 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32)))))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))) (*.f32 #s(literal -1/2 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32)))))))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))))
(/.f32 #s(literal -1/2 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))
(-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))) (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))))))
(-.f32 (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))) (*.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))))) (*.f32 (pow.f32 alpha #s(literal 4 binary32)) (pow.f32 cosTheta #s(literal 2 binary32))))) (/.f32 #s(literal 1/2 binary32) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))))) (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))))))
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(*.f32 (/.f32 (sqrt.f32 (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))) (hypot.f32 #s(literal 1 binary32) cosTheta)) (/.f32 (sqrt.f32 (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))) (hypot.f32 #s(literal 1 binary32) cosTheta)))
(*.f32 (neg.f32 (fma.f32 alpha alpha #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (neg.f32 (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 cosTheta cosTheta #s(literal 1 binary32)))))))
(*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) (fma.f32 cosTheta cosTheta #s(literal 1 binary32)))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 cosTheta cosTheta #s(literal 1 binary32))))
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 cosTheta cosTheta #s(literal 1 binary32))) (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (*.f32 #s(literal 2 binary32) (log.f32 alpha))))
(*.f32 (/.f32 #s(literal 1 binary32) (cbrt.f32 (pow.f32 (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 cosTheta cosTheta #s(literal 1 binary32)))) #s(literal 2 binary32)))) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (cbrt.f32 (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 cosTheta cosTheta #s(literal 1 binary32)))))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))) (hypot.f32 #s(literal 1 binary32) cosTheta))) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))) (hypot.f32 #s(literal 1 binary32) cosTheta))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal 2 binary32)) #s(literal 1 binary32)) (/.f32 (cbrt.f32 (fma.f32 alpha alpha #s(literal -1 binary32))) (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 cosTheta cosTheta #s(literal 1 binary32))))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))) (/.f32 (cbrt.f32 (fma.f32 alpha alpha #s(literal -1 binary32))) (fma.f32 cosTheta cosTheta #s(literal 1 binary32))))
(*.f32 (/.f32 (sqrt.f32 (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal 1 binary32)) (/.f32 (sqrt.f32 (fma.f32 alpha alpha #s(literal -1 binary32))) (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 cosTheta cosTheta #s(literal 1 binary32))))))
(*.f32 (/.f32 (sqrt.f32 (fma.f32 alpha alpha #s(literal -1 binary32))) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))) (/.f32 (sqrt.f32 (fma.f32 alpha alpha #s(literal -1 binary32))) (fma.f32 cosTheta cosTheta #s(literal 1 binary32))))
(*.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) #s(literal 1 binary32)) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 cosTheta cosTheta #s(literal 1 binary32))))))
(*.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (fma.f32 cosTheta cosTheta #s(literal 1 binary32))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal 2 binary32)) (PI.f32)) (/.f32 (cbrt.f32 (fma.f32 alpha alpha #s(literal -1 binary32))) (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) (fma.f32 cosTheta cosTheta #s(literal 1 binary32)))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal 2 binary32)) (fma.f32 cosTheta cosTheta #s(literal 1 binary32))) (/.f32 (cbrt.f32 (fma.f32 alpha alpha #s(literal -1 binary32))) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal 2 binary32)) (cbrt.f32 (pow.f32 (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 cosTheta cosTheta #s(literal 1 binary32)))) #s(literal 2 binary32)))) (cbrt.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 cosTheta cosTheta #s(literal 1 binary32)))))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal 2 binary32)) (*.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))) (hypot.f32 #s(literal 1 binary32) cosTheta))) (/.f32 (cbrt.f32 (fma.f32 alpha alpha #s(literal -1 binary32))) (*.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))) (hypot.f32 #s(literal 1 binary32) cosTheta))))
(*.f32 (/.f32 (sqrt.f32 (fma.f32 alpha alpha #s(literal -1 binary32))) (PI.f32)) (/.f32 (sqrt.f32 (fma.f32 alpha alpha #s(literal -1 binary32))) (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) (fma.f32 cosTheta cosTheta #s(literal 1 binary32)))))
(*.f32 (/.f32 (sqrt.f32 (fma.f32 alpha alpha #s(literal -1 binary32))) (fma.f32 cosTheta cosTheta #s(literal 1 binary32))) (/.f32 (sqrt.f32 (fma.f32 alpha alpha #s(literal -1 binary32))) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))))
(*.f32 (/.f32 (sqrt.f32 (fma.f32 alpha alpha #s(literal -1 binary32))) (cbrt.f32 (pow.f32 (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 cosTheta cosTheta #s(literal 1 binary32)))) #s(literal 2 binary32)))) (/.f32 (sqrt.f32 (fma.f32 alpha alpha #s(literal -1 binary32))) (cbrt.f32 (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 cosTheta cosTheta #s(literal 1 binary32)))))))
(*.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (PI.f32)) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) (fma.f32 cosTheta cosTheta #s(literal 1 binary32)))))
(*.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (fma.f32 cosTheta cosTheta #s(literal 1 binary32))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))))
(*.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (cbrt.f32 (pow.f32 (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 cosTheta cosTheta #s(literal 1 binary32)))) #s(literal 2 binary32)))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (cbrt.f32 (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 cosTheta cosTheta #s(literal 1 binary32)))))))
(*.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))) (hypot.f32 #s(literal 1 binary32) cosTheta))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (*.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))) (hypot.f32 #s(literal 1 binary32) cosTheta))))
(pow.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 cosTheta cosTheta #s(literal 1 binary32))))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 cosTheta cosTheta #s(literal 1 binary32)))))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 cosTheta cosTheta #s(literal 1 binary32))))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (/.f32 (sqrt.f32 (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))) (hypot.f32 #s(literal 1 binary32) cosTheta)) #s(literal 2 binary32))
(pow.f32 (/.f32 (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 cosTheta cosTheta #s(literal 1 binary32)))) (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal -1 binary32))
(sqrt.f32 (pow.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 cosTheta cosTheta #s(literal 1 binary32))))) #s(literal 2 binary32)))
(log.f32 (exp.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 cosTheta cosTheta #s(literal 1 binary32)))))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 cosTheta cosTheta #s(literal 1 binary32))))))))
(cbrt.f32 (pow.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 cosTheta cosTheta #s(literal 1 binary32))))) #s(literal 3 binary32)))
(cbrt.f32 (/.f32 (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 3 binary32)) (pow.f32 (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 cosTheta cosTheta #s(literal 1 binary32)))) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 cosTheta cosTheta #s(literal 1 binary32)))))))
(log1p.f32 (expm1.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 cosTheta cosTheta #s(literal 1 binary32)))))))
(exp.f32 (-.f32 (log.f32 (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))) (log1p.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))
(exp.f32 (*.f32 (-.f32 (log.f32 (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))) (log1p.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (cbrt.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))))
(*.f32 (cbrt.f32 (PI.f32)) (cbrt.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha))))
(*.f32 (cbrt.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (cbrt.f32 (PI.f32)))
(*.f32 (cbrt.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))))) (cbrt.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))) #s(literal 2 binary32))))
(*.f32 (cbrt.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))))) (pow.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))) #s(literal 2 binary32)) #s(literal 1/3 binary32)))
(*.f32 (cbrt.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))) #s(literal 2 binary32))) (cbrt.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))))))
(*.f32 (cbrt.f32 (*.f32 #s(literal 2 binary32) (PI.f32))) (cbrt.f32 (log.f32 alpha)))
(*.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) #s(literal 1/6 binary32)) (pow.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) #s(literal 1/6 binary32)))
(*.f32 (pow.f32 #s(literal 1 binary32) #s(literal 1/3 binary32)) (cbrt.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))) #s(literal 2 binary32)) #s(literal 1/3 binary32)) (cbrt.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))))))
(*.f32 (pow.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))) #s(literal 1/3 binary32)) (pow.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))) #s(literal 1/3 binary32)))
(pow.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) #s(literal 1/3 binary32))
(pow.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) #s(literal 1/6 binary32)) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))) #s(literal 2 binary32)))
(log.f32 (exp.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))))))
(expm1.f32 (log1p.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))))))
(log1p.f32 (expm1.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))))))
(exp.f32 (log.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))))))
(exp.f32 (*.f32 (log.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))) #s(literal 1/3 binary32)))
(exp.f32 (*.f32 (log.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))))) #s(literal 1 binary32)))
Outputs
(exp.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 alpha))))
(pow.f32 (exp.f32 #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 alpha)))
(pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32)))
(exp.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 alpha))))
(pow.f32 (exp.f32 #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 alpha)))
(pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32)))
(exp.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 alpha))))
(pow.f32 (exp.f32 #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 alpha)))
(pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32)))
(exp.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 alpha))))
(pow.f32 (exp.f32 #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 alpha)))
(pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32)))
(exp.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))
(pow.f32 (exp.f32 #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 alpha)))
(pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32)))
(exp.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))
(pow.f32 (exp.f32 #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 alpha)))
(pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32)))
(exp.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))
(pow.f32 (exp.f32 #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 alpha)))
(pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32)))
(exp.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))
(pow.f32 (exp.f32 #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 alpha)))
(pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32)))
(exp.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (+.f32 (log.f32 #s(literal -1 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))))
(pow.f32 (exp.f32 #s(literal 2 binary32)) (*.f32 (PI.f32) (+.f32 (log.f32 #s(literal -1 binary32)) (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha))))))
(pow.f32 (exp.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))
(exp.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (+.f32 (log.f32 #s(literal -1 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))))
(pow.f32 (exp.f32 #s(literal 2 binary32)) (*.f32 (PI.f32) (+.f32 (log.f32 #s(literal -1 binary32)) (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha))))))
(pow.f32 (exp.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))
(exp.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (+.f32 (log.f32 #s(literal -1 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))))
(pow.f32 (exp.f32 #s(literal 2 binary32)) (*.f32 (PI.f32) (+.f32 (log.f32 #s(literal -1 binary32)) (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha))))))
(pow.f32 (exp.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))
(exp.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (+.f32 (log.f32 #s(literal -1 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))))
(pow.f32 (exp.f32 #s(literal 2 binary32)) (*.f32 (PI.f32) (+.f32 (log.f32 #s(literal -1 binary32)) (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha))))))
(pow.f32 (exp.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))
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(-.f32 (/.f32 (pow.f32 alpha #s(literal 2 binary32)) (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 cosTheta cosTheta #s(literal 1 binary32))))) (/.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 cosTheta cosTheta #s(literal 1 binary32))))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 cosTheta cosTheta #s(literal 1 binary32)))))
(pow.f32 (cbrt.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 cosTheta cosTheta #s(literal 1 binary32)))))) #s(literal 3 binary32))
(-.f32 (/.f32 (pow.f32 alpha #s(literal 2 binary32)) (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 cosTheta cosTheta #s(literal 1 binary32))))) (/.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 cosTheta cosTheta #s(literal 1 binary32))))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 cosTheta cosTheta #s(literal 1 binary32)))))
(pow.f32 (pow.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 cosTheta cosTheta #s(literal 1 binary32))))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(-.f32 (/.f32 (pow.f32 alpha #s(literal 2 binary32)) (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 cosTheta cosTheta #s(literal 1 binary32))))) (/.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 cosTheta cosTheta #s(literal 1 binary32))))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 cosTheta cosTheta #s(literal 1 binary32)))))
(pow.f32 (/.f32 (sqrt.f32 (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))) (hypot.f32 #s(literal 1 binary32) cosTheta)) #s(literal 2 binary32))
(pow.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (log.f32 alpha) (*.f32 #s(literal 2 binary32) (PI.f32))))) (hypot.f32 #s(literal 1 binary32) cosTheta)) #s(literal 2 binary32))
(pow.f32 (/.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (PI.f32)) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 alpha)))) (hypot.f32 #s(literal 1 binary32) cosTheta)) #s(literal 2 binary32))
(pow.f32 (/.f32 (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 cosTheta cosTheta #s(literal 1 binary32)))) (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 cosTheta cosTheta #s(literal 1 binary32)))) (fma.f32 alpha alpha #s(literal -1 binary32))))
(sqrt.f32 (pow.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 cosTheta cosTheta #s(literal 1 binary32))))) #s(literal 2 binary32)))
(fabs.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 cosTheta cosTheta #s(literal 1 binary32))))))
(log.f32 (exp.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 cosTheta cosTheta #s(literal 1 binary32)))))))
(-.f32 (/.f32 (pow.f32 alpha #s(literal 2 binary32)) (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 cosTheta cosTheta #s(literal 1 binary32))))) (/.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 cosTheta cosTheta #s(literal 1 binary32))))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 cosTheta cosTheta #s(literal 1 binary32)))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 cosTheta cosTheta #s(literal 1 binary32))))))))
(-.f32 (/.f32 (pow.f32 alpha #s(literal 2 binary32)) (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 cosTheta cosTheta #s(literal 1 binary32))))) (/.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 cosTheta cosTheta #s(literal 1 binary32))))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 cosTheta cosTheta #s(literal 1 binary32)))))
(cbrt.f32 (pow.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 cosTheta cosTheta #s(literal 1 binary32))))) #s(literal 3 binary32)))
(-.f32 (/.f32 (pow.f32 alpha #s(literal 2 binary32)) (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 cosTheta cosTheta #s(literal 1 binary32))))) (/.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 cosTheta cosTheta #s(literal 1 binary32))))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 cosTheta cosTheta #s(literal 1 binary32)))))
(cbrt.f32 (/.f32 (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 3 binary32)) (pow.f32 (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 cosTheta cosTheta #s(literal 1 binary32)))) #s(literal 3 binary32))))
(-.f32 (/.f32 (pow.f32 alpha #s(literal 2 binary32)) (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 cosTheta cosTheta #s(literal 1 binary32))))) (/.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 cosTheta cosTheta #s(literal 1 binary32))))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 cosTheta cosTheta #s(literal 1 binary32)))))
(expm1.f32 (log1p.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 cosTheta cosTheta #s(literal 1 binary32)))))))
(log1p.f32 (expm1.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 cosTheta cosTheta #s(literal 1 binary32)))))))
(-.f32 (/.f32 (pow.f32 alpha #s(literal 2 binary32)) (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 cosTheta cosTheta #s(literal 1 binary32))))) (/.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 cosTheta cosTheta #s(literal 1 binary32))))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 cosTheta cosTheta #s(literal 1 binary32)))))
(exp.f32 (-.f32 (log.f32 (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))) (log1p.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (log.f32 alpha) (*.f32 #s(literal 2 binary32) (PI.f32)))) (exp.f32 (log1p.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))
(/.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (PI.f32)) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 alpha))) (+.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))
(exp.f32 (*.f32 (-.f32 (log.f32 (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))) (log1p.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 1 binary32)))
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (log.f32 alpha) (*.f32 #s(literal 2 binary32) (PI.f32)))) (exp.f32 (log1p.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))
(/.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (PI.f32)) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 alpha))) (+.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))
(-.f32 (exp.f32 (log1p.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))))) #s(literal 1 binary32))
(expm1.f32 (log1p.f32 (cbrt.f32 (*.f32 (log.f32 alpha) (*.f32 #s(literal 2 binary32) (PI.f32))))))
(*.f32 #s(literal 1 binary32) (cbrt.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))))
(cbrt.f32 (*.f32 (log.f32 alpha) (*.f32 #s(literal 2 binary32) (PI.f32))))
(*.f32 (cbrt.f32 (PI.f32)) (cbrt.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha))))
(*.f32 (cbrt.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (cbrt.f32 (PI.f32)))
(*.f32 (cbrt.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (cbrt.f32 (PI.f32)))
(*.f32 (cbrt.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))))) (cbrt.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))) #s(literal 2 binary32))))
(*.f32 (cbrt.f32 (pow.f32 (cbrt.f32 (*.f32 (log.f32 alpha) (*.f32 #s(literal 2 binary32) (PI.f32)))) #s(literal 2 binary32))) (cbrt.f32 (cbrt.f32 (*.f32 (log.f32 alpha) (*.f32 #s(literal 2 binary32) (PI.f32))))))
(*.f32 (cbrt.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))))) (pow.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))) #s(literal 2 binary32)) #s(literal 1/3 binary32)))
(*.f32 (cbrt.f32 (pow.f32 (cbrt.f32 (*.f32 (log.f32 alpha) (*.f32 #s(literal 2 binary32) (PI.f32)))) #s(literal 2 binary32))) (cbrt.f32 (cbrt.f32 (*.f32 (log.f32 alpha) (*.f32 #s(literal 2 binary32) (PI.f32))))))
(*.f32 (cbrt.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))) #s(literal 2 binary32))) (cbrt.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))))))
(*.f32 (cbrt.f32 (pow.f32 (cbrt.f32 (*.f32 (log.f32 alpha) (*.f32 #s(literal 2 binary32) (PI.f32)))) #s(literal 2 binary32))) (cbrt.f32 (cbrt.f32 (*.f32 (log.f32 alpha) (*.f32 #s(literal 2 binary32) (PI.f32))))))
(*.f32 (cbrt.f32 (*.f32 #s(literal 2 binary32) (PI.f32))) (cbrt.f32 (log.f32 alpha)))
(*.f32 (cbrt.f32 (log.f32 alpha)) (cbrt.f32 (*.f32 #s(literal 2 binary32) (PI.f32))))
(*.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) #s(literal 1/6 binary32)) (pow.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) #s(literal 1/6 binary32)))
(cbrt.f32 (*.f32 (log.f32 alpha) (*.f32 #s(literal 2 binary32) (PI.f32))))
(*.f32 (pow.f32 #s(literal 1 binary32) #s(literal 1/3 binary32)) (cbrt.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))))
(cbrt.f32 (*.f32 (log.f32 alpha) (*.f32 #s(literal 2 binary32) (PI.f32))))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))) #s(literal 2 binary32)) #s(literal 1/3 binary32)) (cbrt.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))))))
(*.f32 (cbrt.f32 (pow.f32 (cbrt.f32 (*.f32 (log.f32 alpha) (*.f32 #s(literal 2 binary32) (PI.f32)))) #s(literal 2 binary32))) (cbrt.f32 (cbrt.f32 (*.f32 (log.f32 alpha) (*.f32 #s(literal 2 binary32) (PI.f32))))))
(*.f32 (pow.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))) #s(literal 1/3 binary32)) (pow.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))) #s(literal 1/3 binary32)))
(*.f32 (cbrt.f32 (sqrt.f32 (*.f32 (log.f32 alpha) (*.f32 #s(literal 2 binary32) (PI.f32))))) (cbrt.f32 (sqrt.f32 (*.f32 (log.f32 alpha) (*.f32 #s(literal 2 binary32) (PI.f32))))))
(pow.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) #s(literal 1/3 binary32))
(cbrt.f32 (*.f32 (log.f32 alpha) (*.f32 #s(literal 2 binary32) (PI.f32))))
(pow.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))) #s(literal 1 binary32))
(cbrt.f32 (*.f32 (log.f32 alpha) (*.f32 #s(literal 2 binary32) (PI.f32))))
(pow.f32 (cbrt.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))))) #s(literal 3 binary32))
(cbrt.f32 (*.f32 (log.f32 alpha) (*.f32 #s(literal 2 binary32) (PI.f32))))
(pow.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) #s(literal 1/6 binary32)) #s(literal 2 binary32))
(cbrt.f32 (*.f32 (log.f32 alpha) (*.f32 #s(literal 2 binary32) (PI.f32))))
(sqrt.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))) #s(literal 2 binary32)))
(sqrt.f32 (pow.f32 (cbrt.f32 (*.f32 (log.f32 alpha) (*.f32 #s(literal 2 binary32) (PI.f32)))) #s(literal 2 binary32)))
(fabs.f32 (cbrt.f32 (*.f32 (log.f32 alpha) (*.f32 #s(literal 2 binary32) (PI.f32)))))
(log.f32 (exp.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))))))
(cbrt.f32 (*.f32 (log.f32 alpha) (*.f32 #s(literal 2 binary32) (PI.f32))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))))))
(cbrt.f32 (*.f32 (log.f32 alpha) (*.f32 #s(literal 2 binary32) (PI.f32))))
(expm1.f32 (log1p.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))))))
(expm1.f32 (log1p.f32 (cbrt.f32 (*.f32 (log.f32 alpha) (*.f32 #s(literal 2 binary32) (PI.f32))))))
(log1p.f32 (expm1.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))))))
(cbrt.f32 (*.f32 (log.f32 alpha) (*.f32 #s(literal 2 binary32) (PI.f32))))
(exp.f32 (log.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))))))
(cbrt.f32 (*.f32 (log.f32 alpha) (*.f32 #s(literal 2 binary32) (PI.f32))))
(exp.f32 (*.f32 (log.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))) #s(literal 1/3 binary32)))
(cbrt.f32 (*.f32 (log.f32 alpha) (*.f32 #s(literal 2 binary32) (PI.f32))))
(exp.f32 (*.f32 (log.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))))) #s(literal 1 binary32)))
(cbrt.f32 (*.f32 (log.f32 alpha) (*.f32 #s(literal 2 binary32) (PI.f32))))

eval481.0ms (3.5%)

Compiler

Compiled 24228 to 15975 computations (34.1% saved)

prune228.0ms (1.7%)

Pruning

33 alts after pruning (28 fresh and 5 done)

PrunedKeptTotal
New83613849
Fresh81523
Picked415
Done044
Total84833881
Accuracy
100.0%
Counts
881 → 33
Alt Table
Click to see full alt table
StatusAccuracyProgram
95.0%
(pow.f32 (cbrt.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) #s(literal 2 binary32))))) #s(literal 3 binary32))
95.9%
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (PI.f32))
95.8%
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (*.f32 (log.f32 alpha) #s(literal 2 binary32)))
95.9%
(/.f32 (/.f32 #s(literal 1 binary32) (log.f32 alpha)) (*.f32 (/.f32 (PI.f32) (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal 2 binary32)))
✓65.7%
(/.f32 (/.f32 #s(literal -1/2 binary32) (PI.f32)) (log.f32 alpha))
97.5%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))) #s(literal 3 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
98.4%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal -2 binary32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
97.5%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal -2 binary32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
✓98.6%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
✓97.7%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
26.9%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (log1p.f32 (-.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
97.9%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
97.8%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (log.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32)))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
96.0%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (log.f32 alpha) (*.f32 #s(literal 2 binary32) (PI.f32))))
97.2%
(/.f32 (+.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) alpha) (*.f32 (+.f32 alpha #s(literal 1 binary32)) #s(literal -1 binary32))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
95.9%
(/.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (log.f32 alpha))) (*.f32 #s(literal 2 binary32) (PI.f32)))
97.4%
(/.f32 (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha)))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
98.3%
(/.f32 (*.f32 (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) #s(literal 1 binary32)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))
98.1%
(/.f32 (*.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (PI.f32))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))
✓97.2%
(/.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
95.8%
(/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))))
95.8%
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 (PI.f32) (fma.f32 alpha alpha #s(literal -1 binary32))) (*.f32 #s(literal 2 binary32) (log.f32 alpha))))
65.7%
(/.f32 #s(literal 1/2 binary32) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))
✓65.7%
(/.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (log.f32 alpha)))
65.7%
(/.f32 #s(literal -1/2 binary32) (log.f32 (pow.f32 alpha (PI.f32))))
66.5%
(/.f32 #s(literal -1 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
95.8%
(*.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (/.f32 #s(literal 1/2 binary32) (log.f32 alpha)))
95.7%
(*.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))) (-.f32 alpha #s(literal 1 binary32)))
65.7%
(*.f32 (/.f32 #s(literal -1/2 binary32) (PI.f32)) (/.f32 #s(literal 1 binary32) (log.f32 alpha)))
95.4%
(*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal -2 binary32))) (/.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 (log.f32 alpha) #s(literal 2 binary32))))
95.7%
(*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 alpha #s(literal 1 binary32))) (*.f32 (PI.f32) (log.f32 alpha))))
95.6%
(*.f32 #s(literal 1/2 binary32) (*.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 alpha)))))
65.7%
(exp.f32 (log.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (PI.f32)))))
Compiler

Compiled 2117 to 1317 computations (37.8% saved)

regimes108.0ms (0.8%)

Counts
79 → 1
Calls
Call 1
Inputs
(/.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (log.f32 alpha)))
(/.f32 (/.f32 #s(literal -1/2 binary32) (PI.f32)) (log.f32 alpha))
(*.f32 (/.f32 #s(literal -1/2 binary32) (PI.f32)) (/.f32 #s(literal 1 binary32) (log.f32 alpha)))
(/.f32 #s(literal 1/2 binary32) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (log.f32 alpha) (*.f32 #s(literal 2 binary32) (PI.f32))))
(*.f32 #s(literal 1/2 binary32) (*.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 alpha)))))
(*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 alpha #s(literal 1 binary32))) (*.f32 (PI.f32) (log.f32 alpha))))
(*.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))) (-.f32 alpha #s(literal 1 binary32)))
(/.f32 #s(literal -1 binary32) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
(/.f32 #s(literal -1 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
(/.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal -2 binary32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (+.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) alpha) (*.f32 (+.f32 alpha #s(literal 1 binary32)) #s(literal -1 binary32))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal -2 binary32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 #s(literal -1/2 binary32) (log.f32 (pow.f32 alpha (PI.f32))))
(*.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (/.f32 #s(literal 1/2 binary32) (log.f32 alpha)))
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (*.f32 (log.f32 alpha) #s(literal 2 binary32)))
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (PI.f32))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (log.f32 alpha) (*.f32 #s(literal 2 binary32) (PI.f32))))
(*.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (/.f32 #s(literal 1 binary32) (*.f32 (log.f32 alpha) #s(literal 2 binary32))))
(*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))))
(/.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))))
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 (PI.f32) (fma.f32 alpha alpha #s(literal -1 binary32))) (*.f32 #s(literal 2 binary32) (log.f32 alpha))))
(/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))))
(/.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (log.f32 alpha))) (*.f32 #s(literal 2 binary32) (PI.f32)))
(/.f32 (/.f32 #s(literal 1 binary32) (log.f32 alpha)) (*.f32 (/.f32 (PI.f32) (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal 2 binary32)))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (log.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32)))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (log1p.f32 (-.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (pow.f32 alpha #s(literal 2 binary32)) cosTheta) cosTheta))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (log.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha)))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log1p.f32 (fma.f32 alpha alpha #s(literal -1 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (log1p.f32 (-.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)) #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) alpha) (/.f32 #s(literal 1 binary32) alpha)))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
(exp.f32 (log.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (PI.f32)))))
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (pow.f32 alpha #s(literal 2 binary32))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32)))))
(pow.f32 (/.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal -1 binary32))
(/.f32 (/.f32 (/.f32 #s(literal -1/2 binary32) (PI.f32)) (log.f32 alpha)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))
(*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal -2 binary32))) (/.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 (log.f32 alpha) #s(literal 2 binary32))))
(/.f32 #s(literal -1 binary32) (*.f32 (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (pow.f32 (cbrt.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha))) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))) #s(literal 3 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 (*.f32 alpha alpha)) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta))))))
(/.f32 (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal -2 binary32)))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
(/.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))
(/.f32 (*.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (PI.f32)) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))
(/.f32 (*.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (PI.f32))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (/.f32 (-.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal 1 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
(/.f32 (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 2 binary32))))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
(/.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 (+.f32 alpha #s(literal -1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 #s(literal 2 binary32) (log.f32 alpha))))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (log1p.f32 (-.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32)) #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (pow.f32 (cbrt.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha))) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))) #s(literal 3 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (/.f32 (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 2 binary32)) (*.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32)))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
(pow.f32 (cbrt.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))))) #s(literal 3 binary32))
(pow.f32 (cbrt.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) #s(literal 2 binary32))))) #s(literal 3 binary32))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal -2 binary32))) (/.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))) (log.f32 (pow.f32 alpha #s(literal 2 binary32))))
(/.f32 (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))))) (log.f32 (pow.f32 alpha #s(literal 2 binary32))))
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))
(/.f32 (*.f32 (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) #s(literal 1 binary32)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))
(/.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))
(/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (/.f32 (log.f32 alpha) (fma.f32 alpha alpha #s(literal -1 binary32)))))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))
(*.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32))))
(/.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 (/.f32 (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (log.f32 (cbrt.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (PI.f32) #s(literal 3 binary32))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (cbrt.f32 (*.f32 (pow.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (-.f32 (/.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 (pow.f32 (cbrt.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha))) #s(literal 2 binary32)) (cbrt.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (exp.f32 (log.f32 (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (*.f32 #s(literal 2 binary32) (log.f32 alpha))))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))
(/.f32 (pow.f32 (cbrt.f32 (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))) #s(literal 3 binary32)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (+.f32 (log.f32 (cbrt.f32 (pow.f32 alpha #s(literal 4 binary32)))) (log.f32 (pow.f32 (cbrt.f32 alpha) #s(literal 2 binary32))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
Outputs
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
Calls

4 calls:

32.0ms
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
25.0ms
alpha
24.0ms
cosTheta
22.0ms
(*.f32 alpha alpha)
Results
AccuracySegmentsBranch
98.8%1cosTheta
98.8%1alpha
98.8%1(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
98.8%1(*.f32 alpha alpha)
Compiler

Compiled 37 to 23 computations (37.8% saved)

regimes44.0ms (0.3%)

Counts
35 → 1
Calls
Call 1
Inputs
(/.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (log.f32 alpha)))
(/.f32 (/.f32 #s(literal -1/2 binary32) (PI.f32)) (log.f32 alpha))
(*.f32 (/.f32 #s(literal -1/2 binary32) (PI.f32)) (/.f32 #s(literal 1 binary32) (log.f32 alpha)))
(/.f32 #s(literal 1/2 binary32) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (log.f32 alpha) (*.f32 #s(literal 2 binary32) (PI.f32))))
(*.f32 #s(literal 1/2 binary32) (*.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 alpha)))))
(*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 alpha #s(literal 1 binary32))) (*.f32 (PI.f32) (log.f32 alpha))))
(*.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))) (-.f32 alpha #s(literal 1 binary32)))
(/.f32 #s(literal -1 binary32) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
(/.f32 #s(literal -1 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
(/.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal -2 binary32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (+.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) alpha) (*.f32 (+.f32 alpha #s(literal 1 binary32)) #s(literal -1 binary32))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal -2 binary32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 #s(literal -1/2 binary32) (log.f32 (pow.f32 alpha (PI.f32))))
(*.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (/.f32 #s(literal 1/2 binary32) (log.f32 alpha)))
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (*.f32 (log.f32 alpha) #s(literal 2 binary32)))
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (PI.f32))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (log.f32 alpha) (*.f32 #s(literal 2 binary32) (PI.f32))))
(*.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (/.f32 #s(literal 1 binary32) (*.f32 (log.f32 alpha) #s(literal 2 binary32))))
(*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))))
(/.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))))
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 (PI.f32) (fma.f32 alpha alpha #s(literal -1 binary32))) (*.f32 #s(literal 2 binary32) (log.f32 alpha))))
(/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))))
(/.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (log.f32 alpha))) (*.f32 #s(literal 2 binary32) (PI.f32)))
(/.f32 (/.f32 #s(literal 1 binary32) (log.f32 alpha)) (*.f32 (/.f32 (PI.f32) (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal 2 binary32)))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (log.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32)))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (log1p.f32 (-.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (pow.f32 alpha #s(literal 2 binary32)) cosTheta) cosTheta))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (log.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
Outputs
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (log.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
Calls

4 calls:

12.0ms
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
10.0ms
(*.f32 alpha alpha)
9.0ms
alpha
9.0ms
cosTheta
Results
AccuracySegmentsBranch
98.7%1cosTheta
98.7%1alpha
98.7%1(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
98.7%1(*.f32 alpha alpha)
Compiler

Compiled 37 to 23 computations (37.8% saved)

regimes48.0ms (0.3%)

Counts
34 → 1
Calls
Call 1
Inputs
(/.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (log.f32 alpha)))
(/.f32 (/.f32 #s(literal -1/2 binary32) (PI.f32)) (log.f32 alpha))
(*.f32 (/.f32 #s(literal -1/2 binary32) (PI.f32)) (/.f32 #s(literal 1 binary32) (log.f32 alpha)))
(/.f32 #s(literal 1/2 binary32) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (log.f32 alpha) (*.f32 #s(literal 2 binary32) (PI.f32))))
(*.f32 #s(literal 1/2 binary32) (*.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 alpha)))))
(*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 alpha #s(literal 1 binary32))) (*.f32 (PI.f32) (log.f32 alpha))))
(*.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))) (-.f32 alpha #s(literal 1 binary32)))
(/.f32 #s(literal -1 binary32) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
(/.f32 #s(literal -1 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
(/.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal -2 binary32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (+.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) alpha) (*.f32 (+.f32 alpha #s(literal 1 binary32)) #s(literal -1 binary32))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal -2 binary32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 #s(literal -1/2 binary32) (log.f32 (pow.f32 alpha (PI.f32))))
(*.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (/.f32 #s(literal 1/2 binary32) (log.f32 alpha)))
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (*.f32 (log.f32 alpha) #s(literal 2 binary32)))
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (PI.f32))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (log.f32 alpha) (*.f32 #s(literal 2 binary32) (PI.f32))))
(*.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (/.f32 #s(literal 1 binary32) (*.f32 (log.f32 alpha) #s(literal 2 binary32))))
(*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))))
(/.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))))
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 (PI.f32) (fma.f32 alpha alpha #s(literal -1 binary32))) (*.f32 #s(literal 2 binary32) (log.f32 alpha))))
(/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))))
(/.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (log.f32 alpha))) (*.f32 #s(literal 2 binary32) (PI.f32)))
(/.f32 (/.f32 #s(literal 1 binary32) (log.f32 alpha)) (*.f32 (/.f32 (PI.f32) (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal 2 binary32)))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (log.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32)))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (log1p.f32 (-.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (pow.f32 alpha #s(literal 2 binary32)) cosTheta) cosTheta))))
Outputs
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
Calls

4 calls:

14.0ms
cosTheta
11.0ms
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
11.0ms
alpha
10.0ms
(*.f32 alpha alpha)
Results
AccuracySegmentsBranch
98.6%1cosTheta
98.6%1alpha
98.6%1(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
98.6%1(*.f32 alpha alpha)
Compiler

Compiled 37 to 23 computations (37.8% saved)

regimes16.0ms (0.1%)

Counts
14 → 1
Calls
Call 1
Inputs
(/.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (log.f32 alpha)))
(/.f32 (/.f32 #s(literal -1/2 binary32) (PI.f32)) (log.f32 alpha))
(*.f32 (/.f32 #s(literal -1/2 binary32) (PI.f32)) (/.f32 #s(literal 1 binary32) (log.f32 alpha)))
(/.f32 #s(literal 1/2 binary32) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (log.f32 alpha) (*.f32 #s(literal 2 binary32) (PI.f32))))
(*.f32 #s(literal 1/2 binary32) (*.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 alpha)))))
(*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 alpha #s(literal 1 binary32))) (*.f32 (PI.f32) (log.f32 alpha))))
(*.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))) (-.f32 alpha #s(literal 1 binary32)))
(/.f32 #s(literal -1 binary32) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
(/.f32 #s(literal -1 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
(/.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal -2 binary32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
Outputs
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
Calls

3 calls:

6.0ms
alpha
5.0ms
cosTheta
5.0ms
(*.f32 alpha alpha)
Results
AccuracySegmentsBranch
97.7%1cosTheta
97.7%1alpha
97.7%1(*.f32 alpha alpha)
Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes13.0ms (0.1%)

Counts
10 → 1
Calls
Call 1
Inputs
(/.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (log.f32 alpha)))
(/.f32 (/.f32 #s(literal -1/2 binary32) (PI.f32)) (log.f32 alpha))
(*.f32 (/.f32 #s(literal -1/2 binary32) (PI.f32)) (/.f32 #s(literal 1 binary32) (log.f32 alpha)))
(/.f32 #s(literal 1/2 binary32) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (log.f32 alpha) (*.f32 #s(literal 2 binary32) (PI.f32))))
(*.f32 #s(literal 1/2 binary32) (*.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 alpha)))))
(*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 alpha #s(literal 1 binary32))) (*.f32 (PI.f32) (log.f32 alpha))))
(*.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))) (-.f32 alpha #s(literal 1 binary32)))
(/.f32 #s(literal -1 binary32) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
(/.f32 #s(literal -1 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
Outputs
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (log.f32 alpha) (*.f32 #s(literal 2 binary32) (PI.f32))))
Calls

3 calls:

6.0ms
alpha
3.0ms
(*.f32 alpha alpha)
3.0ms
cosTheta
Results
AccuracySegmentsBranch
96.0%1cosTheta
96.0%1alpha
96.0%1(*.f32 alpha alpha)
Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes5.0ms (0%)

Counts
4 → 1
Calls
Call 1
Inputs
(/.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (log.f32 alpha)))
(/.f32 (/.f32 #s(literal -1/2 binary32) (PI.f32)) (log.f32 alpha))
(*.f32 (/.f32 #s(literal -1/2 binary32) (PI.f32)) (/.f32 #s(literal 1 binary32) (log.f32 alpha)))
(/.f32 #s(literal 1/2 binary32) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))
Outputs
(/.f32 (/.f32 #s(literal -1/2 binary32) (PI.f32)) (log.f32 alpha))
Calls

2 calls:

2.0ms
alpha
2.0ms
cosTheta
Results
AccuracySegmentsBranch
65.7%1alpha
65.7%1cosTheta
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes1.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
(/.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (log.f32 alpha)))
Outputs
(/.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (log.f32 alpha)))
Calls

2 calls:

0.0ms
cosTheta
0.0ms
alpha
Results
AccuracySegmentsBranch
65.7%1alpha
65.7%1cosTheta
Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify12.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
28×*-commutative
18×unsub-neg
16×neg-mul-1
14×+-commutative
8×sub-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
042455
167451
275451
383451
495451
5112451
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (log.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (log.f32 alpha) (*.f32 #s(literal 2 binary32) (PI.f32))))
(/.f32 (/.f32 #s(literal -1/2 binary32) (PI.f32)) (log.f32 alpha))
(/.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (log.f32 alpha)))
Outputs
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta)))))
(/.f32 (+.f32 (*.f32 alpha alpha) #s(literal -1 binary32)) (*.f32 (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 (+.f32 (*.f32 alpha alpha) #s(literal -1 binary32)) cosTheta)))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (log.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta))) (log.f32 (pow.f32 alpha (*.f32 (PI.f32) #s(literal 2 binary32))))))
(/.f32 (+.f32 (*.f32 alpha alpha) #s(literal -1 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 (+.f32 (*.f32 alpha alpha) #s(literal -1 binary32)) cosTheta))) (log.f32 (pow.f32 alpha (*.f32 (PI.f32) #s(literal 2 binary32))))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta))) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))))
(/.f32 (+.f32 (*.f32 alpha alpha) #s(literal -1 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 (+.f32 (*.f32 alpha alpha) #s(literal -1 binary32)) cosTheta))) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (neg.f32 cosTheta)))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))))
(/.f32 (+.f32 (*.f32 alpha alpha) #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (log.f32 alpha) (*.f32 #s(literal 2 binary32) (PI.f32))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) (log.f32 alpha)))
(/.f32 (+.f32 (*.f32 alpha alpha) #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) (log.f32 alpha)))
(/.f32 (/.f32 #s(literal -1/2 binary32) (PI.f32)) (log.f32 alpha))
(/.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (log.f32 alpha)))
Compiler

Compiled 128 to 88 computations (31.3% saved)

soundness1.3s (9.4%)

Rules
1656×times-frac
1342×associate-*r*
1230×associate-/r*
1190×associate-*r*
1183×log1p-expm1-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
076464872
1205864872
032504
1539504
25988504
048571
1843566
0103049298
1298841556
099638143
1275333455
Stop Event
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
Compiler

Compiled 330 to 192 computations (41.8% saved)

end0.0ms (0%)

preprocess88.0ms (0.6%)

Remove

(abs alpha)

(abs cosTheta)

Compiler

Compiled 1116 to 668 computations (40.1% saved)

Profiling

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