GTR1 distribution

Time bar (total: 12.3s)

analyze40.0ms (0.3%)

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: 24.0ms
ival-mult: 7.0ms (29.6% of total)
ival-sub: 5.0ms (21.2% of total)
ival-log: 4.0ms (16.9% of total)
ival-<=: 3.0ms (12.7% of total)
ival-pi: 1.0ms (4.2% of total)
ival-div: 1.0ms (4.2% of total)
ival-add: 1.0ms (4.2% of total)
ival-and: 1.0ms (4.2% of total)
const: 1.0ms (4.2% of total)
backward-pass: 0.0ms (0% of total)

sample2.1s (17.2%)

Results
1.7s8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.3s
ival-mult: 470.0ms (37.2% of total)
ival-log: 218.0ms (17.3% of total)
ival-sub: 160.0ms (12.7% of total)
ival-<=: 159.0ms (12.6% of total)
ival-add: 94.0ms (7.4% of total)
ival-div: 68.0ms (5.4% of total)
ival-pi: 36.0ms (2.9% of total)
const: 28.0ms (2.2% of total)
ival-and: 24.0ms (1.9% of total)
backward-pass: 3.0ms (0.2% of total)
Bogosity

preprocess79.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
1368×fma-define
1072×distribute-lft-neg-in
946×distribute-rgt-neg-in
922×times-frac
736×div-sub
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)

explain209.0ms (1.7%)

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)))
Results
132.0ms512×0valid
Compiler

Compiled 214 to 96 computations (55.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 93.0ms
ival-mult: 43.0ms (46.3% of total)
ival-sub: 17.0ms (18.3% of total)
ival-log: 12.0ms (12.9% of total)
ival-add: 10.0ms (10.8% of total)
ival-div: 6.0ms (6.5% of total)
const: 3.0ms (3.2% of total)
ival-pi: 2.0ms (2.2% of total)
backward-pass: 0.0ms (0% of total)

eval1.0ms (0%)

Compiler

Compiled 66 to 35 computations (47% saved)

prune2.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶98.2%
(/.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))))))
▶98.2%
(/.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)))
▶98.3%
(/.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)

localize314.0ms (2.6%)

Localize:

Found 12 expressions with local error:

NewAccuracyProgram
✓99.7%
(log.f32 (*.f32 alpha alpha))
✓99.4%
(*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta)
✓98.9%
(/.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))))))
✓98.7%
(*.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))
✓99.0%
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
✓98.8%
(*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))
✓99.7%
(log.f32 (*.f32 alpha alpha))
✓99.4%
(*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta)
✓98.9%
(/.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%
(*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))
Results
243.0ms256×0valid
Compiler

Compiled 254 to 103 computations (59.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 132.0ms
ival-mult: 53.0ms (40.1% of total)
ival-fma: 42.0ms (31.8% of total)
ival-div: 10.0ms (7.6% of total)
ival-sub: 10.0ms (7.6% of total)
ival-add: 9.0ms (6.8% of total)
ival-log: 4.0ms (3% of total)
const: 4.0ms (3% of total)
ival-pi: 1.0ms (0.8% of total)
backward-pass: 0.0ms (0% of total)

series167.0ms (1.4%)

Counts
12 → 216
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 (log.f32 (*.f32 alpha alpha))>
#<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 (log.f32 (*.f32 alpha alpha))>
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)))))))>
#<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)))))))))>
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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))))))))>
#<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)) (*.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32)))))>
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#<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))))))>
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#<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))))))>
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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))))))>
#<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 (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 (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 (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 #s(literal 2 binary32) (log.f32 alpha))>
#<alt (*.f32 #s(literal 2 binary32) (log.f32 alpha))>
#<alt (*.f32 #s(literal 2 binary32) (log.f32 alpha))>
#<alt (*.f32 #s(literal 2 binary32) (log.f32 alpha))>
#<alt (*.f32 #s(literal -2 binary32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))>
#<alt (*.f32 #s(literal -2 binary32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))>
#<alt (*.f32 #s(literal -2 binary32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))>
#<alt (*.f32 #s(literal -2 binary32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))>
#<alt (*.f32 #s(literal -2 binary32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))>
#<alt (*.f32 #s(literal -2 binary32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))>
#<alt (*.f32 #s(literal -2 binary32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))>
#<alt (*.f32 #s(literal -2 binary32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))>
Calls

54 calls:

TimeVariablePointExpression
52.0ms
alpha
@0
(* (PI) (log (* alpha alpha)))
34.0ms
cosTheta
@0
(* (PI) (* (log (* alpha alpha)) (+ 1 (* cosTheta (* (+ (* alpha alpha) -1) cosTheta)))))
20.0ms
alpha
@inf
(* (PI) (log (* alpha alpha)))
15.0ms
alpha
@0
(* (+ (* alpha alpha) -1) cosTheta)
3.0ms
cosTheta
@0
(* (- (* alpha alpha) 1) cosTheta)

rewrite535.0ms (4.4%)

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
032472
1539472
25988472
Stop Event
1×node limit
Counts
12 → 479
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)
(log.f32 (*.f32 alpha alpha))
(*.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)
(log.f32 (*.f32 alpha alpha))
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)))))
(*.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 (/.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 (cbrt.f32 (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 2 binary32))) (/.f32 (cbrt.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 (cbrt.f32 (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 2 binary32))) (*.f32 (cbrt.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 (cbrt.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)))))) (pow.f32 (cbrt.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)))
(*.f32 (pow.f32 (cbrt.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)) (cbrt.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)))))))
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(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 (log.f32 alpha) (log.f32 alpha))
(+.f32 #s(literal 0 binary32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))
(+.f32 (log.f32 (cbrt.f32 (pow.f32 alpha #s(literal 4 binary32)))) (log.f32 (pow.f32 (cbrt.f32 alpha) #s(literal 2 binary32))))
(+.f32 (*.f32 (log.f32 alpha) #s(literal 1 binary32)) (*.f32 (log.f32 alpha) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)))) #s(literal 1 binary32))
(*.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))
(*.f32 #s(literal 2 binary32) (log.f32 alpha))
(*.f32 (cbrt.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (pow.f32 (cbrt.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha))) #s(literal 2 binary32)))
(*.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 (pow.f32 (cbrt.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha))) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha))) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (sqrt.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha))))
(*.f32 (sqrt.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (*.f32 (sqrt.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha))) #s(literal 1 binary32)))
(/.f32 (+.f32 (pow.f32 (log.f32 alpha) #s(literal 3 binary32)) (pow.f32 (log.f32 alpha) #s(literal 3 binary32))) (+.f32 (*.f32 (log.f32 alpha) (log.f32 alpha)) (-.f32 (*.f32 (log.f32 alpha) (log.f32 alpha)) (*.f32 (log.f32 alpha) (log.f32 alpha)))))
(/.f32 (-.f32 (*.f32 (log.f32 alpha) (log.f32 alpha)) (*.f32 (log.f32 alpha) (log.f32 alpha))) (-.f32 (log.f32 alpha) (log.f32 alpha)))
(pow.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) #s(literal 2 binary32)))
(cbrt.f32 (pow.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha))))
(log1p.f32 (fma.f32 alpha alpha #s(literal -1 binary32)))
(exp.f32 (log.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha))))
(exp.f32 (*.f32 (log.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha))) #s(literal 1 binary32)))

simplify584.0ms (4.8%)

Algorithm
1×egg-herbie
Rules
1226×associate-/r*
1168×associate-*r*
1030×associate-*l*
832×times-frac
708×associate-*r/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
073363586
1199363586
Stop Event
1×node limit
Counts
695 → 327
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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(*.f32 (/.f32 (cbrt.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 2 binary32))) #s(literal 1 binary32)) (/.f32 (cbrt.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 (/.f32 (cbrt.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 2 binary32))) (cbrt.f32 (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 2 binary32)))) (cbrt.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 (cbrt.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 2 binary32))) (hypot.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta))) (/.f32 (cbrt.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) (*.f32 (sqrt.f32 (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta))))
(*.f32 (/.f32 (sqrt.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)) (/.f32 (sqrt.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 (/.f32 (sqrt.f32 (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))) (cbrt.f32 (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 2 binary32)))) (/.f32 (sqrt.f32 (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))) (cbrt.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 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32))) #s(literal 3 binary32)))) (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 2 binary32)) (pow.f32 cosTheta #s(literal 4 binary32))) (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32))))))
(*.f32 (/.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) (*.f32 (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 2 binary32)) (pow.f32 cosTheta #s(literal 4 binary32))))) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)))))
(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 1 binary32))
(pow.f32 (cbrt.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))
(pow.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)) #s(literal 1/3 binary32))
(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 (log.f32 alpha) (log.f32 alpha))
(+.f32 #s(literal 0 binary32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))
(+.f32 (log.f32 (cbrt.f32 (pow.f32 alpha #s(literal 4 binary32)))) (log.f32 (pow.f32 (cbrt.f32 alpha) #s(literal 2 binary32))))
(+.f32 (*.f32 (log.f32 alpha) #s(literal 1 binary32)) (*.f32 (log.f32 alpha) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)))) #s(literal 1 binary32))
(*.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))
(*.f32 #s(literal 2 binary32) (log.f32 alpha))
(*.f32 (cbrt.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (pow.f32 (cbrt.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha))) #s(literal 2 binary32)))
(*.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 (pow.f32 (cbrt.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha))) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha))) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (sqrt.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha))))
(*.f32 (sqrt.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (*.f32 (sqrt.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha))) #s(literal 1 binary32)))
(/.f32 (+.f32 (pow.f32 (log.f32 alpha) #s(literal 3 binary32)) (pow.f32 (log.f32 alpha) #s(literal 3 binary32))) (+.f32 (*.f32 (log.f32 alpha) (log.f32 alpha)) (-.f32 (*.f32 (log.f32 alpha) (log.f32 alpha)) (*.f32 (log.f32 alpha) (log.f32 alpha)))))
(/.f32 (-.f32 (*.f32 (log.f32 alpha) (log.f32 alpha)) (*.f32 (log.f32 alpha) (log.f32 alpha))) (-.f32 (log.f32 alpha) (log.f32 alpha)))
(pow.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) #s(literal 2 binary32)))
(cbrt.f32 (pow.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha))))
(log1p.f32 (fma.f32 alpha alpha #s(literal -1 binary32)))
(exp.f32 (log.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha))))
(exp.f32 (*.f32 (log.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha))) #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)))))))
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(pow.f32 (sqrt.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha))) #s(literal 2 binary32))
(*.f32 #s(literal 2 binary32) (log.f32 alpha))
(sqrt.f32 (pow.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) #s(literal 2 binary32)))
(*.f32 #s(literal 2 binary32) (log.f32 alpha))
(cbrt.f32 (pow.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) #s(literal 3 binary32)))
(*.f32 #s(literal 2 binary32) (log.f32 alpha))
(expm1.f32 (log1p.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha))))
(*.f32 #s(literal 2 binary32) (log.f32 alpha))
(log1p.f32 (fma.f32 alpha alpha #s(literal -1 binary32)))
(exp.f32 (log.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha))))
(*.f32 #s(literal 2 binary32) (log.f32 alpha))
(exp.f32 (*.f32 (log.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha))) #s(literal 1 binary32)))
(*.f32 #s(literal 2 binary32) (log.f32 alpha))

eval134.0ms (1.1%)

Compiler

Compiled 12840 to 8135 computations (36.6% saved)

prune89.0ms (0.7%)

Pruning

27 alts after pruning (27 fresh and 0 done)

PrunedKeptTotal
New37727404
Fresh000
Picked303
Done000
Total38027407
Accuracy
100.0%
Counts
407 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶97.4%
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))))
95.2%
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32)))))
97.7%
(/.f32 (pow.f32 (sqrt.f32 (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))) #s(literal 2 binary32)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))
97.2%
(/.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)))
98.0%
(/.f32 (/.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 alpha)))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))
98.2%
(/.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)))
97.6%
(/.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))))
97.4%
(/.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))))
98.1%
(/.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))))
98.2%
(/.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))))
98.0%
(/.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))))
74.7%
(/.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))))
▶97.4%
(/.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))))
▶98.5%
(/.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))))
▶98.2%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (cbrt.f32 (pow.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))))
98.3%
(/.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))))
97.8%
(/.f32 (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (PI.f32) (neg.f32 (log.f32 alpha))) (pow.f32 alpha #s(literal 2 binary32)))) (/.f32 #s(literal 1/2 binary32) (*.f32 (PI.f32) (neg.f32 (log.f32 alpha)))))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))
98.2%
(/.f32 (*.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (/.f32 #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 (+.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)))
98.0%
(/.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)))
98.2%
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (fma.f32 alpha 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)))
97.9%
(/.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)))
97.7%
(/.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)))
98.2%
(/.f32 (*.f32 (neg.f32 (fma.f32 alpha alpha #s(literal -1 binary32))) (/.f32 #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)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))
97.5%
(/.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)))
65.3%
(/.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)))))))
▶98.0%
(*.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)))))
Compiler

Compiled 1398 to 1014 computations (27.5% saved)

localize721.0ms (5.9%)

Localize:

Found 20 expressions with local error:

NewAccuracyProgram
✓99.1%
(/.f32 (+.f32 alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))))
✓98.8%
(*.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)))))
✓98.8%
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))
✓97.8%
(PI.f32)
✓98.9%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (cbrt.f32 (pow.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))))
✓98.8%
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))
✓97.8%
(PI.f32)
✓97.8%
(pow.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) #s(literal 3 binary32))
✓99.9%
(*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))
✓99.0%
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))))
✓98.8%
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))))
✓97.8%
(PI.f32)
99.8%
(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))))
98.8%
(*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))
✓97.8%
(PI.f32)
99.5%
(*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta)
✓98.9%
(/.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))))
✓97.8%
(PI.f32)
✓90.6%
(pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))
Results
439.0ms250×0valid
129.0ms6×5exit
Compiler

Compiled 438 to 235 computations (46.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 391.0ms
ival-mult: 112.0ms (28.6% of total)
ival-pow: 101.0ms (25.8% of total)
ival-add: 43.0ms (11% of total)
ival-log: 28.0ms (7.2% of total)
ival-sub: 25.0ms (6.4% of total)
ival-fma: 25.0ms (6.4% of total)
ival-div: 15.0ms (3.8% of total)
ival-neg: 14.0ms (3.6% of total)
backward-pass: 12.0ms (3.1% of total)
const: 10.0ms (2.6% of total)
ival-cbrt: 5.0ms (1.3% of total)
ival-pi: 1.0ms (0.3% of total)

series117.0ms (1%)

Counts
17 → 228
Calls
Call 1
Inputs
#<alt (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))>
#<alt (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 (PI.f32)>
#<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 (PI.f32)>
#<alt (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))))>
#<alt (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))))>
#<alt (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))>
#<alt (pow.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) #s(literal 3 binary32))>
#<alt (PI.f32)>
#<alt (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))>
#<alt (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (cbrt.f32 (pow.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))))>
#<alt (PI.f32)>
#<alt (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))>
#<alt (*.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)))))>
#<alt (/.f32 (+.f32 alpha #s(literal -1 binary32)) (*.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) (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)))))))))>
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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 (+.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))))))))>
#<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))))))))>
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#<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) (log.f32 (pow.f32 alpha #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) (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) (log.f32 (pow.f32 alpha #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 (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)) #s(literal 1 binary32)) (*.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32)))))) (+.f32 (/.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)))))) (/.f32 #s(literal 1 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 (pow.f32 cosTheta #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 (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 (-.f32 (+.f32 (*.f32 #s(literal -1 binary32) (/.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)))))) (+.f32 (/.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)))))) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 6 binary32)) (*.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32)))))))) (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (/.f32 #s(literal 1 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)))))) (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) (log.f32 (pow.f32 alpha #s(literal 2 binary32)))))) (/.f32 (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))))))))) (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) (log.f32 (pow.f32 alpha #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) (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) (log.f32 (pow.f32 alpha #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 (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)) #s(literal 1 binary32)) (*.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32)))))) (+.f32 (/.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)))))) (/.f32 #s(literal 1 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 (pow.f32 cosTheta #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 (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 (-.f32 (+.f32 (*.f32 #s(literal -1 binary32) (/.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)))))) (+.f32 (/.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)))))) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 6 binary32)) (*.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32)))))))) (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (/.f32 #s(literal 1 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)))))) (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) (log.f32 (pow.f32 alpha #s(literal 2 binary32)))))) (/.f32 (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))))))))) (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) (pow.f32 cosTheta #s(literal 2 binary32))))))>
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#<alt (*.f32 #s(literal 8 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (pow.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))) #s(literal 3 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)))))>
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#<alt (/.f32 #s(literal 1/2 binary32) (*.f32 (pow.f32 cosTheta #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)))))))>
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#<alt (-.f32 (+.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 4 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 6 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 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #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 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (*.f32 (PI.f32) (+.f32 (log.f32 #s(literal -1 binary32)) (*.f32 #s(literal -1 binary32) (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) (+.f32 (log.f32 #s(literal -1 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))))>
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#<alt (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) alpha) (*.f32 (-.f32 alpha #s(literal 1 binary32)) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #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)))))>
#<alt (+.f32 (*.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 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) alpha) (*.f32 (-.f32 alpha #s(literal 1 binary32)) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)))) (*.f32 (PI.f32) (log.f32 alpha)))) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) alpha) (*.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 (PI.f32) (log.f32 alpha)))))))>
#<alt (+.f32 (*.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 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) alpha) (*.f32 (-.f32 alpha #s(literal 1 binary32)) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)))) (*.f32 (PI.f32) (log.f32 alpha)))) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) alpha) (*.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 (PI.f32) (log.f32 alpha)))) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) alpha) (*.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 (PI.f32) (log.f32 alpha)))))))))>
#<alt (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 alpha #s(literal 1 binary32))) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)))))))>
#<alt (/.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 alpha #s(literal 1 binary32))) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 2 binary32))))))) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 alpha #s(literal 1 binary32))) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32))))))) (pow.f32 cosTheta #s(literal 2 binary32)))>
#<alt (/.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 alpha #s(literal 1 binary32))) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 2 binary32))))))) (+.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 alpha #s(literal 1 binary32))) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)))))) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 alpha #s(literal 1 binary32))) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (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 (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 alpha #s(literal 1 binary32))) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 2 binary32))))))) (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 alpha #s(literal 1 binary32))) (*.f32 (pow.f32 cosTheta #s(literal 6 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 4 binary32))))))) (+.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 alpha #s(literal 1 binary32))) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)))))) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 alpha #s(literal 1 binary32))) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (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 1/2 binary32) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 alpha #s(literal 1 binary32))) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)))))))>
#<alt (/.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 alpha #s(literal 1 binary32))) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 2 binary32))))))) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 alpha #s(literal 1 binary32))) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32))))))) (pow.f32 cosTheta #s(literal 2 binary32)))>
#<alt (/.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 alpha #s(literal 1 binary32))) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 2 binary32))))))) (+.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 alpha #s(literal 1 binary32))) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)))))) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 alpha #s(literal 1 binary32))) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (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 (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 alpha #s(literal 1 binary32))) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 2 binary32))))))) (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 alpha #s(literal 1 binary32))) (*.f32 (pow.f32 cosTheta #s(literal 6 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 4 binary32))))))) (+.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 alpha #s(literal 1 binary32))) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)))))) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 alpha #s(literal 1 binary32))) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (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 -1/2 binary32) (*.f32 (PI.f32) (log.f32 alpha)))>
#<alt (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 alpha (*.f32 (PI.f32) (log.f32 alpha)))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (log.f32 alpha)))))>
#<alt (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 alpha (*.f32 (PI.f32) (log.f32 alpha)))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (log.f32 alpha)))))>
#<alt (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 alpha (*.f32 (PI.f32) (log.f32 alpha)))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (log.f32 alpha)))))>
#<alt (*.f32 #s(literal -1/2 binary32) (/.f32 alpha (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))>
#<alt (*.f32 alpha (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 alpha (*.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 alpha (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 alpha (*.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 alpha (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 alpha (*.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 alpha (*.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 binary32) (*.f32 alpha (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 alpha (*.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 #s(literal 1 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 binary32) (*.f32 alpha (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 alpha (*.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 #s(literal 1 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 binary32) (*.f32 alpha (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 alpha (*.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 #s(literal 1 binary32) (*.f32 (PI.f32) (+.f32 (log.f32 #s(literal -1 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))))))))>
Calls

57 calls:

TimeVariablePointExpression
16.0ms
alpha
@-inf
(* (* 2 (PI)) (* (log alpha) (+ 1 (neg (pow cosTheta 2)))))
9.0ms
alpha
@inf
(* (* 2 (PI)) (* (log alpha) (+ 1 (neg (pow cosTheta 2)))))
7.0ms
alpha
@0
(* (* 2 (PI)) (* (log alpha) (+ 1 (neg (pow cosTheta 2)))))
5.0ms
cosTheta
@inf
(* (/ (+ alpha 1) (+ (* (+ (* alpha alpha) -1) (pow cosTheta 2)) 1)) (/ (+ alpha -1) (* (PI) (* 2 (log alpha)))))
5.0ms
cosTheta
@0
(* (* 2 (PI)) (* (log alpha) (+ 1 (neg (pow cosTheta 2)))))

rewrite176.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
522×times-frac
324×log1p-expm1-u
324×expm1-log1p-u
318×add-exp-log
318×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
052577
11006573
Stop Event
1×node limit
Counts
17 → 494
Calls
Call 1
Inputs
(pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))
(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))))
(PI.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 (neg.f32 cosTheta) cosTheta))))
(PI.f32)
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))))
(*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))
(pow.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) #s(literal 3 binary32))
(PI.f32)
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (cbrt.f32 (pow.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))))
(PI.f32)
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))
(*.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 (+.f32 alpha #s(literal -1 binary32)) (*.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))))
(exp.f32 (*.f32 (log.f32 alpha) (*.f32 #s(literal 2 binary32) (PI.f32))))
(-.f32 (exp.f32 (log1p.f32 (PI.f32))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (PI.f32))
(*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (cbrt.f32 (PI.f32)))
(*.f32 (sqrt.f32 (PI.f32)) (sqrt.f32 (PI.f32)))
(pow.f32 (PI.f32) #s(literal 1 binary32))
(pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32))
(pow.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)))
(log.f32 (exp.f32 (PI.f32)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (PI.f32))))
(cbrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (PI.f32)))
(log1p.f32 (expm1.f32 (PI.f32)))
(exp.f32 (log.f32 (PI.f32)))
(exp.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 1 binary32)))
(-.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 (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))))))) #s(literal 1 binary32))
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(pow.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 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))))) #s(literal 1 binary32))
(pow.f32 (cbrt.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 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))))) #s(literal 3 binary32))
(pow.f32 (pow.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 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.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 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))))) #s(literal 2 binary32))
(pow.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 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))) (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 (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)))
(log.f32 (exp.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 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.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 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))))))))
(cbrt.f32 (pow.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 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))))) #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 (/.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 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 3 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 #s(literal 2 binary32) (log.f32 alpha)))) #s(literal 3 binary32))))
(expm1.f32 (log1p.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 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))))))
(log1p.f32 (expm1.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 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))))))
(exp.f32 (log.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 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))))))
(exp.f32 (*.f32 (log.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 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (/.f32 (+.f32 alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (/.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)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))))
(*.f32 (pow.f32 (cbrt.f32 (/.f32 (+.f32 alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))))) #s(literal 2 binary32)) (cbrt.f32 (/.f32 (+.f32 alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))))))
(*.f32 (sqrt.f32 (/.f32 (+.f32 alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))))) (sqrt.f32 (/.f32 (+.f32 alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (PI.f32))) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (log.f32 alpha)))
(*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (*.f32 #s(literal 2 binary32) (log.f32 alpha))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (PI.f32)))
(*.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))) #s(literal 2 binary32))) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (cbrt.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))))))
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))))) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (sqrt.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (+.f32 alpha #s(literal -1 binary32))) #s(literal 2 binary32)) (PI.f32)) (/.f32 (cbrt.f32 (+.f32 alpha #s(literal -1 binary32))) (*.f32 #s(literal 2 binary32) (log.f32 alpha))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (+.f32 alpha #s(literal -1 binary32))) #s(literal 2 binary32)) #s(literal 1 binary32)) (/.f32 (cbrt.f32 (+.f32 alpha #s(literal -1 binary32))) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (+.f32 alpha #s(literal -1 binary32))) #s(literal 2 binary32)) (*.f32 #s(literal 2 binary32) (PI.f32))) (/.f32 (cbrt.f32 (+.f32 alpha #s(literal -1 binary32))) (log.f32 alpha)))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (+.f32 alpha #s(literal -1 binary32))) #s(literal 2 binary32)) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (/.f32 (cbrt.f32 (+.f32 alpha #s(literal -1 binary32))) (PI.f32)))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (+.f32 alpha #s(literal -1 binary32))) #s(literal 2 binary32)) (pow.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))) #s(literal 2 binary32))) (cbrt.f32 (/.f32 (+.f32 alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (+.f32 alpha #s(literal -1 binary32))) #s(literal 2 binary32)) (sqrt.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))))) (/.f32 (cbrt.f32 (+.f32 alpha #s(literal -1 binary32))) (sqrt.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))))))
(*.f32 (/.f32 (sqrt.f32 (+.f32 alpha #s(literal -1 binary32))) (PI.f32)) (/.f32 (sqrt.f32 (+.f32 alpha #s(literal -1 binary32))) (*.f32 #s(literal 2 binary32) (log.f32 alpha))))
(*.f32 (/.f32 (sqrt.f32 (+.f32 alpha #s(literal -1 binary32))) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (/.f32 (sqrt.f32 (+.f32 alpha #s(literal -1 binary32))) (PI.f32)))
(*.f32 (/.f32 (sqrt.f32 (+.f32 alpha #s(literal -1 binary32))) #s(literal 1 binary32)) (/.f32 (sqrt.f32 (+.f32 alpha #s(literal -1 binary32))) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))))
(*.f32 (/.f32 (sqrt.f32 (+.f32 alpha #s(literal -1 binary32))) (*.f32 #s(literal 2 binary32) (PI.f32))) (/.f32 (sqrt.f32 (+.f32 alpha #s(literal -1 binary32))) (log.f32 alpha)))
(*.f32 (/.f32 (sqrt.f32 (+.f32 alpha #s(literal -1 binary32))) (pow.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))) #s(literal 2 binary32))) (/.f32 (sqrt.f32 (+.f32 alpha #s(literal -1 binary32))) (cbrt.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))))))
(pow.f32 (/.f32 (+.f32 alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))) #s(literal 1 binary32))
(pow.f32 (cbrt.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 (pow.f32 (/.f32 (+.f32 alpha #s(literal -1 binary32)) (*.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 (+.f32 alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))))) #s(literal 2 binary32))
(pow.f32 (/.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (+.f32 alpha #s(literal -1 binary32))) #s(literal -1 binary32))
(sqrt.f32 (pow.f32 (/.f32 (+.f32 alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))) #s(literal 2 binary32)))
(log.f32 (exp.f32 (/.f32 (+.f32 alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (+.f32 alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))))))
(cbrt.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)))
(cbrt.f32 (/.f32 (pow.f32 (+.f32 alpha #s(literal -1 binary32)) #s(literal 3 binary32)) (pow.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (/.f32 (+.f32 alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))))))
(log1p.f32 (expm1.f32 (/.f32 (+.f32 alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))))))
(exp.f32 (log.f32 (/.f32 (+.f32 alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))))))
(exp.f32 (*.f32 (log.f32 (/.f32 (+.f32 alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))))) #s(literal 1 binary32)))

simplify474.0ms (3.9%)

Algorithm
1×egg-herbie
Rules
1222×associate-*r/
814×fma-define
746×*-commutative
698×distribute-rgt-in
694×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0121961619
1368653065
Stop Event
1×node limit
Counts
722 → 655
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)))))))))
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(*.f32 (pow.f32 (cbrt.f32 (/.f32 (+.f32 alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))))) #s(literal 2 binary32)) (cbrt.f32 (/.f32 (+.f32 alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))))))
(*.f32 (sqrt.f32 (/.f32 (+.f32 alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))))) (sqrt.f32 (/.f32 (+.f32 alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (PI.f32))) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (log.f32 alpha)))
(*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (*.f32 #s(literal 2 binary32) (log.f32 alpha))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (PI.f32)))
(*.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))) #s(literal 2 binary32))) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (cbrt.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))))))
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))))) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (sqrt.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (+.f32 alpha #s(literal -1 binary32))) #s(literal 2 binary32)) (PI.f32)) (/.f32 (cbrt.f32 (+.f32 alpha #s(literal -1 binary32))) (*.f32 #s(literal 2 binary32) (log.f32 alpha))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (+.f32 alpha #s(literal -1 binary32))) #s(literal 2 binary32)) #s(literal 1 binary32)) (/.f32 (cbrt.f32 (+.f32 alpha #s(literal -1 binary32))) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (+.f32 alpha #s(literal -1 binary32))) #s(literal 2 binary32)) (*.f32 #s(literal 2 binary32) (PI.f32))) (/.f32 (cbrt.f32 (+.f32 alpha #s(literal -1 binary32))) (log.f32 alpha)))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (+.f32 alpha #s(literal -1 binary32))) #s(literal 2 binary32)) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (/.f32 (cbrt.f32 (+.f32 alpha #s(literal -1 binary32))) (PI.f32)))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (+.f32 alpha #s(literal -1 binary32))) #s(literal 2 binary32)) (pow.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))) #s(literal 2 binary32))) (cbrt.f32 (/.f32 (+.f32 alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (+.f32 alpha #s(literal -1 binary32))) #s(literal 2 binary32)) (sqrt.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))))) (/.f32 (cbrt.f32 (+.f32 alpha #s(literal -1 binary32))) (sqrt.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))))))
(*.f32 (/.f32 (sqrt.f32 (+.f32 alpha #s(literal -1 binary32))) (PI.f32)) (/.f32 (sqrt.f32 (+.f32 alpha #s(literal -1 binary32))) (*.f32 #s(literal 2 binary32) (log.f32 alpha))))
(*.f32 (/.f32 (sqrt.f32 (+.f32 alpha #s(literal -1 binary32))) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (/.f32 (sqrt.f32 (+.f32 alpha #s(literal -1 binary32))) (PI.f32)))
(*.f32 (/.f32 (sqrt.f32 (+.f32 alpha #s(literal -1 binary32))) #s(literal 1 binary32)) (/.f32 (sqrt.f32 (+.f32 alpha #s(literal -1 binary32))) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))))
(*.f32 (/.f32 (sqrt.f32 (+.f32 alpha #s(literal -1 binary32))) (*.f32 #s(literal 2 binary32) (PI.f32))) (/.f32 (sqrt.f32 (+.f32 alpha #s(literal -1 binary32))) (log.f32 alpha)))
(*.f32 (/.f32 (sqrt.f32 (+.f32 alpha #s(literal -1 binary32))) (pow.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))) #s(literal 2 binary32))) (/.f32 (sqrt.f32 (+.f32 alpha #s(literal -1 binary32))) (cbrt.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))))))
(pow.f32 (/.f32 (+.f32 alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))) #s(literal 1 binary32))
(pow.f32 (cbrt.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 (pow.f32 (/.f32 (+.f32 alpha #s(literal -1 binary32)) (*.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 (+.f32 alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))))) #s(literal 2 binary32))
(pow.f32 (/.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (+.f32 alpha #s(literal -1 binary32))) #s(literal -1 binary32))
(sqrt.f32 (pow.f32 (/.f32 (+.f32 alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))) #s(literal 2 binary32)))
(log.f32 (exp.f32 (/.f32 (+.f32 alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (+.f32 alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))))))
(cbrt.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)))
(cbrt.f32 (/.f32 (pow.f32 (+.f32 alpha #s(literal -1 binary32)) #s(literal 3 binary32)) (pow.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (/.f32 (+.f32 alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))))))
(log1p.f32 (expm1.f32 (/.f32 (+.f32 alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))))))
(exp.f32 (log.f32 (/.f32 (+.f32 alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))))))
(exp.f32 (*.f32 (log.f32 (/.f32 (+.f32 alpha #s(literal -1 binary32)) (*.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 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 (/.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)))))))))
(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)))))) (neg.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 #s(literal 1/2 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 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)))))))))
(fma.f32 (pow.f32 alpha #s(literal 2 binary32)) (+.f32 (fma.f32 #s(literal -1 binary32) (*.f32 (pow.f32 alpha #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) (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 #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) (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)))))) (neg.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 #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 (pow.f32 cosTheta #s(literal 2 binary32)) (/.f32 (*.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 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 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))))) (/.f32 (*.f32 #s(literal 1/2 binary32) (/.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))))))
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(/.f32 (/.f32 (+.f32 alpha #s(literal -1 binary32)) (cbrt.f32 (*.f32 (log.f32 alpha) (*.f32 #s(literal 2 binary32) (PI.f32))))) (pow.f32 (cbrt.f32 (*.f32 (log.f32 alpha) (*.f32 #s(literal 2 binary32) (PI.f32)))) #s(literal 2 binary32)))
(pow.f32 (/.f32 (+.f32 alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))) #s(literal 1 binary32))
(*.f32 (/.f32 (+.f32 alpha #s(literal -1 binary32)) (PI.f32)) (/.f32 #s(literal 1/2 binary32) (log.f32 alpha)))
(pow.f32 (cbrt.f32 (/.f32 (+.f32 alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))))) #s(literal 3 binary32))
(*.f32 (/.f32 (+.f32 alpha #s(literal -1 binary32)) (PI.f32)) (/.f32 #s(literal 1/2 binary32) (log.f32 alpha)))
(pow.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)) #s(literal 1/3 binary32))
(*.f32 (/.f32 (+.f32 alpha #s(literal -1 binary32)) (PI.f32)) (/.f32 #s(literal 1/2 binary32) (log.f32 alpha)))
(pow.f32 (sqrt.f32 (/.f32 (+.f32 alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))))) #s(literal 2 binary32))
(*.f32 (/.f32 (+.f32 alpha #s(literal -1 binary32)) (PI.f32)) (/.f32 #s(literal 1/2 binary32) (log.f32 alpha)))
(pow.f32 (/.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (+.f32 alpha #s(literal -1 binary32))) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (log.f32 alpha) (*.f32 #s(literal 2 binary32) (PI.f32))) (+.f32 alpha #s(literal -1 binary32))))
(sqrt.f32 (pow.f32 (/.f32 (+.f32 alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))) #s(literal 2 binary32)))
(sqrt.f32 (pow.f32 (*.f32 (/.f32 (+.f32 alpha #s(literal -1 binary32)) (PI.f32)) (/.f32 #s(literal 1/2 binary32) (log.f32 alpha))) #s(literal 2 binary32)))
(fabs.f32 (*.f32 (/.f32 (+.f32 alpha #s(literal -1 binary32)) (PI.f32)) (/.f32 #s(literal 1/2 binary32) (log.f32 alpha))))
(log.f32 (exp.f32 (/.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)) (PI.f32)) (/.f32 #s(literal 1/2 binary32) (log.f32 alpha)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.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)) (PI.f32)) (/.f32 #s(literal 1/2 binary32) (log.f32 alpha)))
(cbrt.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)))
(*.f32 (/.f32 (+.f32 alpha #s(literal -1 binary32)) (PI.f32)) (/.f32 #s(literal 1/2 binary32) (log.f32 alpha)))
(cbrt.f32 (/.f32 (pow.f32 (+.f32 alpha #s(literal -1 binary32)) #s(literal 3 binary32)) (pow.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) #s(literal 3 binary32))))
(*.f32 (/.f32 (+.f32 alpha #s(literal -1 binary32)) (PI.f32)) (/.f32 #s(literal 1/2 binary32) (log.f32 alpha)))
(expm1.f32 (log1p.f32 (/.f32 (+.f32 alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))))))
(expm1.f32 (log1p.f32 (*.f32 (/.f32 (+.f32 alpha #s(literal -1 binary32)) (PI.f32)) (/.f32 #s(literal 1/2 binary32) (log.f32 alpha)))))
(log1p.f32 (expm1.f32 (/.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)) (PI.f32)) (/.f32 #s(literal 1/2 binary32) (log.f32 alpha)))
(exp.f32 (log.f32 (/.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)) (PI.f32)) (/.f32 #s(literal 1/2 binary32) (log.f32 alpha)))
(exp.f32 (*.f32 (log.f32 (/.f32 (+.f32 alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))))) #s(literal 1 binary32)))
(*.f32 (/.f32 (+.f32 alpha #s(literal -1 binary32)) (PI.f32)) (/.f32 #s(literal 1/2 binary32) (log.f32 alpha)))

eval380.0ms (3.1%)

Compiler

Compiled 29256 to 19615 computations (33% saved)

prune186.0ms (1.5%)

Pruning

26 alts after pruning (25 fresh and 1 done)

PrunedKeptTotal
New85218870
Fresh15722
Picked415
Done000
Total87126897
Accuracy
100.0%
Counts
897 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
94.5%
(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))
95.3%
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha)))
▶95.2%
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 #s(literal 2 binary32) (*.f32 (log.f32 alpha) (fma.f32 cosTheta cosTheta #s(literal 1 binary32))))) (PI.f32))
95.2%
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (pow.f32 alpha #s(literal 2 binary32))))
98.2%
(/.f32 (/.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))))
98.0%
(/.f32 (/.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 alpha)))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))
97.8%
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (log.f32 alpha) (*.f32 #s(literal 2 binary32) (PI.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)) (+.f32 alpha #s(literal 1 binary32))))
98.2%
(/.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)))
65.4%
(/.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)))))
97.6%
(/.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))))
97.3%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32)) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
▶97.4%
(/.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))))
98.2%
(/.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))))
97.3%
(/.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))))
97.2%
(/.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))))
74.7%
(/.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))))
✓97.4%
(/.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))))
▶98.3%
(/.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))))
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)))
94.9%
(/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 (*.f32 (PI.f32) (fma.f32 cosTheta cosTheta #s(literal 1 binary32))) (log.f32 alpha)) (fma.f32 alpha alpha #s(literal -1 binary32)))))
95.0%
(*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (PI.f32) (fma.f32 cosTheta cosTheta #s(literal 1 binary32))) (log.f32 alpha))))
94.8%
(*.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 (fma.f32 cosTheta cosTheta #s(literal 1 binary32)) (log.f32 alpha))) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (*.f32 #s(literal 2 binary32) (PI.f32))))
94.8%
(*.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))))
▶94.8%
(*.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) (PI.f32))) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (*.f32 (fma.f32 cosTheta cosTheta #s(literal 1 binary32)) (log.f32 alpha))))
94.9%
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 cosTheta cosTheta #s(literal 1 binary32)) (log.f32 alpha))) (*.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32))))
▶95.0%
(*.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))))
Compiler

Compiled 1123 to 834 computations (25.7% saved)

localize637.0ms (5.2%)

Localize:

Found 18 expressions with local error:

NewAccuracyProgram
99.4%
(*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta)
✓98.9%
(/.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))))
✓98.8%
(*.f32 (PI.f32) (pow.f32 (cbrt.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha))) #s(literal 3 binary32)))
✓97.7%
(pow.f32 (cbrt.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha))) #s(literal 3 binary32))
✓99.9%
(*.f32 (log.f32 alpha) (fma.f32 cosTheta cosTheta #s(literal 1 binary32)))
✓99.0%
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 #s(literal 2 binary32) (*.f32 (log.f32 alpha) (fma.f32 cosTheta cosTheta #s(literal 1 binary32)))))
✓98.8%
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 #s(literal 2 binary32) (*.f32 (log.f32 alpha) (fma.f32 cosTheta cosTheta #s(literal 1 binary32))))) (PI.f32))
✓99.9%
(*.f32 (fma.f32 cosTheta cosTheta #s(literal 1 binary32)) (log.f32 alpha))
✓99.0%
(/.f32 (+.f32 alpha #s(literal -1 binary32)) (*.f32 (fma.f32 cosTheta cosTheta #s(literal 1 binary32)) (log.f32 alpha)))
✓99.0%
(*.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) (PI.f32))) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (*.f32 (fma.f32 cosTheta cosTheta #s(literal 1 binary32)) (log.f32 alpha))))
✓98.8%
(/.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) (PI.f32)))
✓99.0%
(/.f32 (*.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 alpha #s(literal 1 binary32))) (*.f32 (PI.f32) (log.f32 alpha)))
✓98.8%
(*.f32 (PI.f32) (log.f32 alpha))
✓98.7%
(*.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 alpha #s(literal 1 binary32)))
✓99.8%
(*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)
99.4%
(*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta)
✓98.9%
(/.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))))
✓90.6%
(pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32)))
Results
512.0ms256×0valid
Compiler

Compiled 391 to 215 computations (45% saved)

Precisions
Click to see histograms. Total time spent on operations: 432.0ms
ival-fma: 167.0ms (38.7% of total)
ival-mult: 93.0ms (21.5% of total)
ival-pow: 59.0ms (13.7% of total)
ival-sub: 30.0ms (6.9% of total)
ival-div: 25.0ms (5.8% of total)
ival-add: 22.0ms (5.1% of total)
ival-log: 14.0ms (3.2% of total)
ival-cbrt: 10.0ms (2.3% of total)
const: 9.0ms (2.1% of total)
ival-pi: 1.0ms (0.2% of total)
backward-pass: 0.0ms (0% of total)

series105.0ms (0.9%)

Counts
16 → 296
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 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)>
#<alt (*.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 alpha #s(literal 1 binary32)))>
#<alt (*.f32 (PI.f32) (log.f32 alpha))>
#<alt (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 alpha #s(literal 1 binary32))) (*.f32 (PI.f32) (log.f32 alpha)))>
#<alt (/.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) (PI.f32)))>
#<alt (*.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) (PI.f32))) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (*.f32 (fma.f32 cosTheta cosTheta #s(literal 1 binary32)) (log.f32 alpha))))>
#<alt (/.f32 (+.f32 alpha #s(literal -1 binary32)) (*.f32 (fma.f32 cosTheta cosTheta #s(literal 1 binary32)) (log.f32 alpha)))>
#<alt (*.f32 (fma.f32 cosTheta cosTheta #s(literal 1 binary32)) (log.f32 alpha))>
#<alt (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 #s(literal 2 binary32) (*.f32 (log.f32 alpha) (fma.f32 cosTheta cosTheta #s(literal 1 binary32))))) (PI.f32))>
#<alt (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 #s(literal 2 binary32) (*.f32 (log.f32 alpha) (fma.f32 cosTheta cosTheta #s(literal 1 binary32)))))>
#<alt (*.f32 (log.f32 alpha) (fma.f32 cosTheta cosTheta #s(literal 1 binary32)))>
#<alt (pow.f32 (cbrt.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha))) #s(literal 3 binary32))>
#<alt (*.f32 (PI.f32) (pow.f32 (cbrt.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha))) #s(literal 3 binary32)))>
#<alt (/.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))))>
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)))))))))>
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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 (*.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 alpha #s(literal 1 binary32))) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 alpha)))))>
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#<alt (*.f32 #s(literal -1 binary32) (*.f32 alpha (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 alpha (*.f32 (+.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) (+.f32 (log.f32 #s(literal -1 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))))) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) (+.f32 (log.f32 #s(literal -1 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))))))>
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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) (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) (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) (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) (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) (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) (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) (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 (+.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) (+.f32 (log.f32 #s(literal -1 binary32)) (*.f32 #s(literal -1 binary32) (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 (PI.f32) (*.f32 (+.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) (+.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 #s(literal 1 binary32) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (+.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) (+.f32 (log.f32 #s(literal -1 binary32)) (*.f32 #s(literal -1 binary32) (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 (PI.f32) (*.f32 (+.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) (+.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 #s(literal 1 binary32) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (+.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) (+.f32 (log.f32 #s(literal -1 binary32)) (*.f32 #s(literal -1 binary32) (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 (PI.f32) (*.f32 (+.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) (+.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 #s(literal 1 binary32) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (+.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) (+.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 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) (*.f32 (PI.f32) (log.f32 alpha))))>
#<alt (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (log.f32 alpha))) (/.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 alpha)))))) (*.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) (*.f32 (PI.f32) (log.f32 alpha)))))>
#<alt (+.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) (*.f32 (PI.f32) (log.f32 alpha)))) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (/.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 alpha))) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (log.f32 alpha)))))) (*.f32 #s(literal 1/2 binary32) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (log.f32 alpha))) (/.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 alpha))))))))>
#<alt (+.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) (*.f32 (PI.f32) (log.f32 alpha)))) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (log.f32 alpha))) (/.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 alpha))))) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (log.f32 alpha))) (/.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 alpha)))))) (*.f32 #s(literal 1/2 binary32) (-.f32 (/.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 alpha))) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (log.f32 alpha))))))))))>
#<alt (*.f32 #s(literal 1/2 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) (log.f32 alpha)))))>
#<alt (/.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (log.f32 alpha))) (/.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 alpha)))) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) (*.f32 (PI.f32) (log.f32 alpha))))) (pow.f32 cosTheta #s(literal 2 binary32)))>
#<alt (/.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (log.f32 alpha))) (/.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 alpha)))) (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (/.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 alpha))) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (log.f32 alpha)))) (pow.f32 cosTheta #s(literal 4 binary32)))) (*.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) (*.f32 (PI.f32) (log.f32 alpha)))))) (pow.f32 cosTheta #s(literal 2 binary32)))>
#<alt (/.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (log.f32 alpha))) (/.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 alpha)))) (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (log.f32 alpha))) (/.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 alpha)))) (pow.f32 cosTheta #s(literal 6 binary32)))) (+.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (/.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 alpha))) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (log.f32 alpha)))) (pow.f32 cosTheta #s(literal 4 binary32)))) (*.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) (*.f32 (PI.f32) (log.f32 alpha))))))) (pow.f32 cosTheta #s(literal 2 binary32)))>
#<alt (*.f32 #s(literal 1/2 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) (log.f32 alpha)))))>
#<alt (/.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (log.f32 alpha))) (/.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 alpha)))) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) (*.f32 (PI.f32) (log.f32 alpha))))) (pow.f32 cosTheta #s(literal 2 binary32)))>
#<alt (/.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (log.f32 alpha))) (/.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 alpha)))) (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (/.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 alpha))) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (log.f32 alpha)))) (pow.f32 cosTheta #s(literal 4 binary32)))) (*.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) (*.f32 (PI.f32) (log.f32 alpha)))))) (pow.f32 cosTheta #s(literal 2 binary32)))>
#<alt (/.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (log.f32 alpha))) (/.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 alpha)))) (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (log.f32 alpha))) (/.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 alpha)))) (pow.f32 cosTheta #s(literal 6 binary32)))) (+.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (/.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 alpha))) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (log.f32 alpha)))) (pow.f32 cosTheta #s(literal 4 binary32)))) (*.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) (*.f32 (PI.f32) (log.f32 alpha))))))) (pow.f32 cosTheta #s(literal 2 binary32)))>
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#<alt (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (log.f32 alpha) (+.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 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (log.f32 alpha) (+.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 (log.f32 (/.f32 #s(literal 1 binary32) alpha)) (+.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 (log.f32 (/.f32 #s(literal 1 binary32) alpha)) (+.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (log.f32 (/.f32 #s(literal 1 binary32) alpha)) (+.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 (log.f32 (/.f32 #s(literal 1 binary32) alpha)) (+.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (log.f32 (/.f32 #s(literal 1 binary32) alpha)) (+.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 (log.f32 (/.f32 #s(literal 1 binary32) alpha)) (+.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (log.f32 (/.f32 #s(literal 1 binary32) alpha)) (+.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 (+.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) (+.f32 (log.f32 #s(literal -1 binary32)) (*.f32 #s(literal -1 binary32) (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 (+.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) (+.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 #s(literal 1 binary32) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) (+.f32 (log.f32 #s(literal -1 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))))))))>
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#<alt (*.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) (log.f32 alpha)))>
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#<alt (/.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 (/.f32 #s(literal 1 binary32) alpha))))))>
#<alt (-.f32 (/.f32 #s(literal 1 binary32) (*.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 (/.f32 #s(literal 1 binary32) alpha))))))) (+.f32 (*.f32 #s(literal -1 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) (*.f32 (pow.f32 (cbrt.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) 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 (/.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 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 (/.f32 #s(literal 1 binary32) alpha)))))) (*.f32 #s(literal -1 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) (*.f32 (pow.f32 (cbrt.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (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 binary32) (*.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 (/.f32 #s(literal 1 binary32) alpha)))))))) (+.f32 (*.f32 #s(literal -1 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) (*.f32 (pow.f32 (cbrt.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) 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 (/.f32 #s(literal 1 binary32) alpha))))))))>
#<alt (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.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 (/.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 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 (/.f32 #s(literal 1 binary32) alpha)))))) (*.f32 #s(literal -1 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) (*.f32 (pow.f32 (cbrt.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (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 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) (*.f32 (pow.f32 (cbrt.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) 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 (/.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 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 (/.f32 #s(literal 1 binary32) alpha)))))) (*.f32 #s(literal -1 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) (*.f32 (pow.f32 (cbrt.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (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 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)) (+.f32 (log.f32 #s(literal -1 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))))))>
#<alt (-.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)) (+.f32 (log.f32 #s(literal -1 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))))) (/.f32 #s(literal 1 binary32) (*.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)) (+.f32 (log.f32 #s(literal -1 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))))))))>
#<alt (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 alpha #s(literal 4 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)) (+.f32 (log.f32 #s(literal -1 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) 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)) (+.f32 (log.f32 #s(literal -1 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))))))) (+.f32 (/.f32 #s(literal 1 binary32) (*.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)) (+.f32 (log.f32 #s(literal -1 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))))))) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 alpha #s(literal 4 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)) (+.f32 (log.f32 #s(literal -1 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))))))))>
#<alt (-.f32 (+.f32 (*.f32 #s(literal -1 binary32) (/.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 (pow.f32 alpha #s(literal 6 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 8 binary32)) (*.f32 (PI.f32) (*.f32 (pow.f32 (cbrt.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (+.f32 (log.f32 #s(literal -1 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) 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)) (+.f32 (log.f32 #s(literal -1 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))))))) (+.f32 (*.f32 #s(literal -1 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 4 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)) (+.f32 (log.f32 #s(literal -1 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))))))) (/.f32 #s(literal 1 binary32) (*.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)) (+.f32 (log.f32 #s(literal -1 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))))))))>
#<alt (/.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))))>
#<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) (*.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))))) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (pow.f32 (cbrt.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (log.f32 alpha)))))>
#<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) (*.f32 (pow.f32 (cbrt.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (log.f32 alpha)))) (/.f32 (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #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 (PI.f32) (*.f32 (pow.f32 (cbrt.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (log.f32 alpha))))) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (pow.f32 (cbrt.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (log.f32 alpha)))))>
#<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) (*.f32 (pow.f32 (cbrt.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (log.f32 alpha))))) (*.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) (*.f32 (pow.f32 (cbrt.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (log.f32 alpha))))))) (/.f32 (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #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 (PI.f32) (*.f32 (pow.f32 (cbrt.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (log.f32 alpha))))) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (pow.f32 (cbrt.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (log.f32 alpha)))))>
#<alt (/.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)))))>
#<alt (/.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 #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)) (*.f32 (log.f32 alpha) (-.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) (*.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)) (*.f32 (log.f32 alpha) (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 (pow.f32 (cbrt.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (*.f32 (log.f32 alpha) (-.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) (*.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)) (*.f32 (log.f32 alpha) (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 (pow.f32 (cbrt.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (*.f32 (log.f32 alpha) (-.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 (pow.f32 (cbrt.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (*.f32 (log.f32 alpha) (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) (*.f32 (pow.f32 (cbrt.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (log.f32 alpha)))))>
#<alt (/.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 #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)) (*.f32 (log.f32 alpha) (-.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) (*.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)) (*.f32 (log.f32 alpha) (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 (pow.f32 (cbrt.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (*.f32 (log.f32 alpha) (-.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) (*.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)) (*.f32 (log.f32 alpha) (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 (pow.f32 (cbrt.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (*.f32 (log.f32 alpha) (-.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 (pow.f32 (cbrt.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (*.f32 (log.f32 alpha) (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)))>
Calls

75 calls:

TimeVariablePointExpression
21.0ms
cosTheta
@0
(/ (- (* alpha alpha) 1) (* (log (pow alpha (* 2 (PI)))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))))
6.0ms
alpha
@0
(/ (- (* alpha alpha) 1) (* (* (PI) (pow (cbrt (* 2 (log alpha))) 3)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))))
4.0ms
alpha
@inf
(/ (* (+ 1 alpha) (- alpha 1)) (* (PI) (log alpha)))
3.0ms
alpha
@-inf
(/ (- (* alpha alpha) 1) (* (log (pow alpha (* 2 (PI)))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))))
3.0ms
alpha
@inf
(/ (- (* alpha alpha) 1) (* (* (PI) (pow (cbrt (* 2 (log alpha))) 3)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))))

rewrite143.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
514×frac-times
361×log1p-expm1-u
361×expm1-log1p-u
354×add-exp-log
342×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
048627
1901610
Stop Event
1×node limit
Counts
16 → 347
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 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)
(*.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 alpha #s(literal 1 binary32)))
(*.f32 (PI.f32) (log.f32 alpha))
(/.f32 (*.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 alpha #s(literal 1 binary32))) (*.f32 (PI.f32) (log.f32 alpha)))
(/.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) (PI.f32)))
(*.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) (PI.f32))) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (*.f32 (fma.f32 cosTheta cosTheta #s(literal 1 binary32)) (log.f32 alpha))))
(/.f32 (+.f32 alpha #s(literal -1 binary32)) (*.f32 (fma.f32 cosTheta cosTheta #s(literal 1 binary32)) (log.f32 alpha)))
(*.f32 (fma.f32 cosTheta cosTheta #s(literal 1 binary32)) (log.f32 alpha))
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 #s(literal 2 binary32) (*.f32 (log.f32 alpha) (fma.f32 cosTheta cosTheta #s(literal 1 binary32))))) (PI.f32))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 #s(literal 2 binary32) (*.f32 (log.f32 alpha) (fma.f32 cosTheta cosTheta #s(literal 1 binary32)))))
(*.f32 (log.f32 alpha) (fma.f32 cosTheta cosTheta #s(literal 1 binary32)))
(pow.f32 (cbrt.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha))) #s(literal 3 binary32))
(*.f32 (PI.f32) (pow.f32 (cbrt.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha))) #s(literal 3 binary32)))
(/.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))))
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 (pow.f32 alpha (PI.f32)) (pow.f32 alpha (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 #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 (*.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha)))
(-.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 (pow.f32 (cbrt.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)) (cbrt.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 (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)))))) (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)))))))
(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 1 binary32))
(pow.f32 (cbrt.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))
(pow.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)) #s(literal 1/3 binary32))
(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 (*.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)))) (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 (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))))
(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 (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 (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 (pow.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 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))))
(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)))
(+.f32 (pow.f32 alpha #s(literal 2 binary32)) #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 #s(literal 1 binary32) (pow.f32 alpha #s(literal 3 binary32)))) (*.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) alpha))))
(/.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 (fma.f32 alpha alpha #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 2 binary32)))) (*.f32 (+.f32 alpha #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) alpha)))
(/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 3 binary32))) (fma.f32 alpha alpha #s(literal -1 binary32))) (*.f32 (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) alpha)) (+.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 #s(literal 1 binary32) (pow.f32 alpha #s(literal 2 binary32))) (fma.f32 alpha alpha #s(literal -1 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) alpha) (+.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 (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)) (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 #s(literal 1 binary32) (pow.f32 alpha #s(literal 3 binary32))) (+.f32 (pow.f32 alpha #s(literal 3 binary32)) #s(literal -1 binary32))) (*.f32 (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) alpha)) (fma.f32 alpha alpha (-.f32 #s(literal 1 binary32) (*.f32 alpha #s(literal -1 binary32))))))
(/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 3 binary32))) (-.f32 (pow.f32 alpha #s(literal 3 binary32)) #s(literal 1 binary32))) (*.f32 (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) alpha)) (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)) (+.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 (+.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 (-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 2 binary32))) (+.f32 (pow.f32 alpha #s(literal 3 binary32)) #s(literal -1 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) alpha) (fma.f32 alpha alpha (-.f32 #s(literal 1 binary32) (*.f32 alpha #s(literal -1 binary32))))))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 2 binary32))) (-.f32 (pow.f32 alpha #s(literal 3 binary32)) #s(literal 1 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) alpha) (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)) (+.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 3 binary32)))) (*.f32 (fma.f32 alpha alpha (-.f32 #s(literal 1 binary32) (*.f32 alpha #s(literal -1 binary32)))) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) alpha))))
(/.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 (+.f32 (pow.f32 alpha #s(literal 3 binary32)) #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 2 binary32)))) (*.f32 (fma.f32 alpha alpha (-.f32 #s(literal 1 binary32) (*.f32 alpha #s(literal -1 binary32)))) (-.f32 #s(literal 1 binary32) alpha)))
(/.f32 (*.f32 (-.f32 (pow.f32 alpha #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 3 binary32)))) (*.f32 (fma.f32 alpha alpha (+.f32 #s(literal 1 binary32) (*.f32 alpha #s(literal 1 binary32)))) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) alpha))))
(/.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 (-.f32 (pow.f32 alpha #s(literal 3 binary32)) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 2 binary32)))) (*.f32 (fma.f32 alpha alpha (+.f32 #s(literal 1 binary32) (*.f32 alpha #s(literal 1 binary32)))) (-.f32 #s(literal 1 binary32) alpha)))
(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 #s(literal 2 binary32) (log.f32 alpha)))
(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)))
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(cbrt.f32 (*.f32 (pow.f32 (log.f32 alpha) #s(literal 3 binary32)) (pow.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) #s(literal 3 binary32)) (pow.f32 (log.f32 alpha) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha))))
(log1p.f32 (-.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) #s(literal 1 binary32)))
(exp.f32 (log.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha))))
(exp.f32 (*.f32 (log.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha))) #s(literal 1 binary32)))
(exp.f32 (+.f32 (log.f32 (log.f32 alpha)) (log.f32 (*.f32 #s(literal 2 binary32) (PI.f32)))))
(-.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 (pow.f32 (cbrt.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)) (cbrt.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 (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)))))) (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)))))))
(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 1 binary32))
(pow.f32 (cbrt.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))
(pow.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)) #s(literal 1/3 binary32))
(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 (*.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)))) (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 (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))))
(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)))

simplify365.0ms (3%)

Algorithm
1×egg-herbie
Rules
892×fma-define
780×distribute-lft-in
752×distribute-rgt-in
712×associate-*r/
644×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0126546466
1368142606
Stop Event
1×node limit
Counts
643 → 719
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))))))))
(-.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)))))))
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(cbrt.f32 (*.f32 (pow.f32 (log.f32 alpha) #s(literal 3 binary32)) (pow.f32 (fma.f32 cosTheta cosTheta #s(literal 1 binary32)) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (fma.f32 cosTheta cosTheta #s(literal 1 binary32)) #s(literal 3 binary32)) (pow.f32 (log.f32 alpha) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (log.f32 (pow.f32 alpha (fma.f32 cosTheta cosTheta #s(literal 1 binary32))))))
(log1p.f32 (-.f32 (pow.f32 alpha (fma.f32 cosTheta cosTheta #s(literal 1 binary32))) #s(literal 1 binary32)))
(exp.f32 (log.f32 (log.f32 (pow.f32 alpha (fma.f32 cosTheta cosTheta #s(literal 1 binary32))))))
(exp.f32 (*.f32 (log.f32 (log.f32 (pow.f32 alpha (fma.f32 cosTheta cosTheta #s(literal 1 binary32))))) #s(literal 1 binary32)))
(+.f32 (log.f32 alpha) (log.f32 alpha))
(+.f32 #s(literal 0 binary32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))
(+.f32 (log.f32 (cbrt.f32 (pow.f32 alpha #s(literal 4 binary32)))) (log.f32 (pow.f32 (cbrt.f32 alpha) #s(literal 2 binary32))))
(-.f32 (exp.f32 (log1p.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)))) #s(literal 1 binary32))
(*.f32 #s(literal 2 binary32) (log.f32 alpha))
(*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))
(*.f32 (log.f32 alpha) #s(literal 2 binary32))
(*.f32 (cbrt.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (pow.f32 (cbrt.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha))) #s(literal 2 binary32)))
(*.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 (sqrt.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (sqrt.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha))))
(*.f32 (pow.f32 (cbrt.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (log.f32 alpha))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)))) #s(literal 2 binary32)) #s(literal 3 binary32)) (cbrt.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha))))
(*.f32 (pow.f32 (pow.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) #s(literal 1/6 binary32)) #s(literal 3 binary32)) (pow.f32 (pow.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) #s(literal 1/6 binary32)) #s(literal 3 binary32)))
(sqrt.f32 (pow.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) #s(literal 2 binary32)))
(log.f32 (pow.f32 alpha #s(literal 2 binary32)))
(log.f32 (+.f32 #s(literal 1 binary32) (fma.f32 alpha alpha #s(literal -1 binary32))))
(cbrt.f32 (pow.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha))))
(log1p.f32 (fma.f32 alpha alpha #s(literal -1 binary32)))
(exp.f32 (log.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha))))
(exp.f32 (*.f32 (log.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha))) #s(literal 1 binary32)))
(+.f32 #s(literal 0 binary32) (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha)))
(+.f32 (log.f32 (cbrt.f32 (pow.f32 (pow.f32 alpha #s(literal 4 binary32)) (PI.f32)))) (log.f32 (cbrt.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))))))
(+.f32 (log.f32 (sqrt.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))))) (log.f32 (sqrt.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))))))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha)))) #s(literal 1 binary32))
(pow.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha)) #s(literal 2 binary32)))
(log.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))))
(log.f32 (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) #s(literal 1 binary32))))
(cbrt.f32 (pow.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (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))))
(cbrt.f32 (*.f32 (pow.f32 (log.f32 alpha) #s(literal 3 binary32)) (pow.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) #s(literal 3 binary32)) (pow.f32 (log.f32 alpha) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha))))
(log1p.f32 (-.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) #s(literal 1 binary32)))
(exp.f32 (log.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha))))
(exp.f32 (*.f32 (log.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha))) #s(literal 1 binary32)))
(exp.f32 (+.f32 (log.f32 (log.f32 alpha)) (log.f32 (*.f32 #s(literal 2 binary32) (PI.f32)))))
(-.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 (pow.f32 (cbrt.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)) (cbrt.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 (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)))))) (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)))))))
(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 1 binary32))
(pow.f32 (cbrt.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))
(pow.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)) #s(literal 1/3 binary32))
(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 (*.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)))) (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 (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))))
(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)))
Outputs
(exp.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 alpha))))
(pow.f32 (exp.f32 (*.f32 #s(literal 2 binary32) (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 (*.f32 #s(literal 2 binary32) (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 (*.f32 #s(literal 2 binary32) (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 (*.f32 #s(literal 2 binary32) (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) (+.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 #s(literal 2 binary32)) (*.f32 (PI.f32) (-.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 #s(literal 2 binary32)) (*.f32 (PI.f32) (-.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 #s(literal 2 binary32)) (*.f32 (PI.f32) (-.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 #s(literal 2 binary32)) (*.f32 (PI.f32) (-.f32 (log.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 #s(literal -1/2 binary32) (*.f32 (*.f32 (PI.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)))))))))
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(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (*.f32 #s(literal 2 binary32) (*.f32 (log.f32 alpha) (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 (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))))
(-.f32 (/.f32 (/.f32 (pow.f32 alpha #s(literal 2 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))))) (/.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 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (*.f32 #s(literal 2 binary32) (*.f32 (log.f32 alpha) (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 (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)))))))
(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 (pow.f32 cosTheta #s(literal 2 binary32)) (fma.f32 alpha alpha #s(literal -1 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 (/.f32 (pow.f32 alpha #s(literal 2 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))))) (/.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 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (*.f32 #s(literal 2 binary32) (*.f32 (log.f32 alpha) (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 (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 (/.f32 (pow.f32 alpha #s(literal 2 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))))) (/.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 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (*.f32 #s(literal 2 binary32) (*.f32 (log.f32 alpha) (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 (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 (/.f32 (pow.f32 alpha #s(literal 2 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))))) (/.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 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (*.f32 #s(literal 2 binary32) (*.f32 (log.f32 alpha) (fma.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))))

eval467.0ms (3.8%)

Compiler

Compiled 27810 to 18784 computations (32.5% saved)

prune177.0ms (1.4%)

Pruning

33 alts after pruning (29 fresh and 4 done)

PrunedKeptTotal
New85322875
Fresh13720
Picked235
Done011
Total86833901
Accuracy
100.0%
Counts
901 → 33
Alt Table
Click to see full alt table
StatusAccuracyProgram
95.3%
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))
98.0%
(/.f32 (/.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 alpha)))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))
▶95.4%
(/.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 alpha alpha #s(literal -1 binary32))) (log.f32 alpha)) (PI.f32))
97.6%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (pow.f32 (cbrt.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha))) #s(literal 3 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
97.3%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32)) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
✓97.4%
(/.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))))
▶98.2%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 (log.f32 alpha) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
97.3%
(/.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))))
97.2%
(/.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))))
74.7%
(/.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))))
✓97.4%
(/.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))))
✓98.3%
(/.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))))
▶97.4%
(/.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))))
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)))
94.8%
(/.f32 (*.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) (PI.f32))) (+.f32 alpha #s(literal -1 binary32))) (log.f32 (pow.f32 alpha (fma.f32 cosTheta cosTheta #s(literal 1 binary32)))))
94.9%
(/.f32 (*.f32 (/.f32 (+.f32 alpha #s(literal -1 binary32)) (fma.f32 cosTheta cosTheta #s(literal 1 binary32))) #s(literal 1 binary32)) (*.f32 (log.f32 alpha) (/.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (+.f32 alpha #s(literal 1 binary32)))))
95.3%
(/.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) (log.f32 alpha))) (PI.f32))
94.8%
(*.f32 (/.f32 (/.f32 (+.f32 alpha #s(literal -1 binary32)) (fma.f32 cosTheta cosTheta #s(literal 1 binary32))) (PI.f32)) (/.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) #s(literal 2 binary32)) (log.f32 alpha)))
95.0%
(*.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) (PI.f32))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (log.f32 alpha)))
94.9%
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 cosTheta cosTheta #s(literal 1 binary32)) (log.f32 alpha))) (*.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32))))
94.9%
(*.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 alpha (PI.f32))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (PI.f32)))) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (*.f32 (fma.f32 cosTheta cosTheta #s(literal 1 binary32)) (log.f32 alpha))))
94.8%
(*.f32 (*.f32 alpha (+.f32 (/.f32 #s(literal 1/2 binary32) (PI.f32)) (/.f32 #s(literal 1/2 binary32) (*.f32 (PI.f32) alpha)))) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (*.f32 (fma.f32 cosTheta cosTheta #s(literal 1 binary32)) (log.f32 alpha))))
95.1%
(*.f32 #s(literal 1/2 binary32) (pow.f32 (/.f32 (*.f32 (PI.f32) (log.f32 alpha)) (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal -1 binary32)))
63.9%
(*.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 #s(literal -1 binary32) (PI.f32)) (log.f32 alpha)))
▶95.1%
(*.f32 #s(literal 1/2 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 alpha))))
94.2%
(*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 alpha #s(literal 1 binary32))) (pow.f32 (cbrt.f32 (*.f32 (PI.f32) (log.f32 alpha))) #s(literal 3 binary32))))
✓95.0%
(*.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))))
94.8%
(*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 alpha #s(literal 1 binary32))) (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))))
95.0%
(*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 alpha #s(literal 1 binary32))) (log.f32 (pow.f32 alpha (PI.f32)))))
95.2%
(*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (/.f32 (log.f32 alpha) (fma.f32 alpha alpha #s(literal -1 binary32))))))
▶63.9%
(*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (log.f32 alpha))))
95.2%
(*.f32 #s(literal 1/2 binary32) (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (log.f32 alpha)))))
94.9%
(*.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 1232 to 944 computations (23.4% saved)

localize471.0ms (3.8%)

Localize:

Found 16 expressions with local error:

NewAccuracyProgram
✓99.2%
(/.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 (PI.f32) (log.f32 alpha)))
98.8%
(*.f32 (PI.f32) (log.f32 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)))))
✓99.9%
(log.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))))
✓99.8%
(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))
✓98.9%
(/.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))))
90.6%
(pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32)))
✓99.1%
(/.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 alpha alpha #s(literal -1 binary32))) (log.f32 alpha))
✓98.8%
(/.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 alpha alpha #s(literal -1 binary32))) (log.f32 alpha)) (PI.f32))
✓99.2%
(/.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (log.f32 alpha)))
98.8%
(*.f32 (PI.f32) (log.f32 alpha))
99.8%
(*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)
99.4%
(*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta)
✓98.9%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 (log.f32 alpha) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
✓98.8%
(*.f32 (PI.f32) (*.f32 (log.f32 alpha) #s(literal 2 binary32)))
Results
370.0ms256×0valid
Compiler

Compiled 299 to 159 computations (46.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 306.0ms
ival-pow: 106.0ms (34.6% of total)
ival-div: 70.0ms (22.8% of total)
ival-mult: 64.0ms (20.9% of total)
ival-sub: 17.0ms (5.5% of total)
ival-fma: 15.0ms (4.9% of total)
ival-log: 14.0ms (4.6% of total)
ival-add: 10.0ms (3.3% of total)
const: 7.0ms (2.3% of total)
ival-pi: 1.0ms (0.3% of total)
ival-neg: 1.0ms (0.3% of total)
backward-pass: 0.0ms (0% of total)

series90.0ms (0.7%)

Counts
11 → 134
Calls
Call 1
Inputs
#<alt (*.f32 (PI.f32) (*.f32 (log.f32 alpha) #s(literal 2 binary32)))>
#<alt (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 (log.f32 alpha) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))>
#<alt (/.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (log.f32 alpha)))>
#<alt (/.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 alpha alpha #s(literal -1 binary32))) (log.f32 alpha)) (PI.f32))>
#<alt (/.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 alpha alpha #s(literal -1 binary32))) (log.f32 alpha))>
#<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 (neg.f32 cosTheta) cosTheta))))>
#<alt (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))>
#<alt (log.f32 (pow.f32 alpha (*.f32 #s(literal 2 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 (PI.f32) (log.f32 alpha)))>
#<alt (/.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 2 binary32)))>
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) (+.f32 (log.f32 #s(literal -1 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))))>
#<alt (*.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 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 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 #s(literal 1/2 binary32) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 (/.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 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)))))))))>
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#<alt (/.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) (*.f32 (PI.f32) (log.f32 alpha)))) (*.f32 #s(literal -1/2 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) (log.f32 alpha)))))) (pow.f32 cosTheta #s(literal 2 binary32)))>
#<alt (/.f32 (-.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) (*.f32 (PI.f32) (log.f32 alpha)))) (*.f32 #s(literal -1/2 binary32) (/.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (*.f32 (PI.f32) (log.f32 alpha)))))) (*.f32 #s(literal 1/2 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) (log.f32 alpha)))))) (pow.f32 cosTheta #s(literal 2 binary32)))>
#<alt (/.f32 (-.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) (*.f32 (PI.f32) (log.f32 alpha)))) (*.f32 #s(literal -1/2 binary32) (/.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 6 binary32)) (*.f32 (PI.f32) (log.f32 alpha)))))) (+.f32 (*.f32 #s(literal 1/2 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) (log.f32 alpha))))) (*.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (*.f32 (PI.f32) (log.f32 alpha))))))) (pow.f32 cosTheta #s(literal 2 binary32)))>
#<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 (*.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 (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 (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 (pow.f32 alpha #s(literal 2 binary32))>
#<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 (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 (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 #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) (+.f32 (log.f32 #s(literal -1 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))))>
#<alt (*.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 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 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 #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 binary32) (*.f32 (PI.f32) (log.f32 alpha)))>
#<alt (-.f32 (/.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 alpha))) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (log.f32 alpha))))>
#<alt (-.f32 (/.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 alpha))) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (log.f32 alpha))))>
#<alt (-.f32 (/.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 alpha))) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (log.f32 alpha))))>
#<alt (*.f32 #s(literal -1 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 binary32) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))) (/.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 binary32) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))) (/.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 binary32) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))) (/.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 (PI.f32) (+.f32 (log.f32 #s(literal -1 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))))>
#<alt (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 (/.f32 #s(literal 1 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 binary32) (*.f32 (pow.f32 alpha #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 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 (/.f32 #s(literal 1 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 binary32) (*.f32 (pow.f32 alpha #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 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 (/.f32 #s(literal 1 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 binary32) (*.f32 (pow.f32 alpha #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)))))))))>
Calls

39 calls:

TimeVariablePointExpression
15.0ms
alpha
@-inf
(log (pow alpha (* 2 (PI))))
12.0ms
alpha
@inf
(log (pow alpha (* 2 (PI))))
11.0ms
alpha
@0
(log (pow alpha (* 2 (PI))))
10.0ms
alpha
@0
(/ (- (* alpha alpha) 1) (* (log (pow alpha (* 2 (PI)))) (+ 1 (* (neg cosTheta) cosTheta))))
6.0ms
alpha
@-inf
(/ (- (* alpha alpha) 1) (* (log (pow alpha (* 2 (PI)))) (+ 1 (* (neg cosTheta) cosTheta))))

rewrite141.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
678×times-frac
335×log1p-expm1-u
335×expm1-log1p-u
324×add-exp-log
321×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
043406
1767391
Stop Event
1×node limit
Counts
11 → 342
Calls
Call 1
Inputs
(*.f32 (PI.f32) (*.f32 (log.f32 alpha) #s(literal 2 binary32)))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 (log.f32 alpha) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (log.f32 alpha)))
(/.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 alpha alpha #s(literal -1 binary32))) (log.f32 alpha)) (PI.f32))
(/.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 alpha alpha #s(literal -1 binary32))) (log.f32 alpha))
(/.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 alpha alpha) #s(literal 1 binary32))
(log.f32 (pow.f32 alpha (*.f32 #s(literal 2 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 (PI.f32) (log.f32 alpha)))
(/.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 2 binary32)))
Outputs
(+.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) #s(literal 2 binary32))))
(+.f32 (log.f32 (cbrt.f32 (pow.f32 (pow.f32 alpha #s(literal 4 binary32)) (PI.f32)))) (log.f32 (cbrt.f32 (pow.f32 alpha (*.f32 (PI.f32) #s(literal 2 binary32))))))
(+.f32 (log.f32 (sqrt.f32 (pow.f32 alpha (*.f32 (PI.f32) #s(literal 2 binary32))))) (log.f32 (sqrt.f32 (pow.f32 alpha (*.f32 (PI.f32) #s(literal 2 binary32))))))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) (*.f32 (log.f32 alpha) #s(literal 2 binary32))))) #s(literal 1 binary32))
(pow.f32 (*.f32 (PI.f32) (*.f32 (log.f32 alpha) #s(literal 2 binary32))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 (log.f32 alpha) #s(literal 2 binary32)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 (log.f32 alpha) #s(literal 2 binary32))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 (log.f32 alpha) #s(literal 2 binary32)))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 (log.f32 alpha) #s(literal 2 binary32))) #s(literal 2 binary32)))
(log.f32 (pow.f32 alpha (*.f32 (PI.f32) #s(literal 2 binary32))))
(log.f32 (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 alpha (*.f32 (PI.f32) #s(literal 2 binary32))) #s(literal 1 binary32))))
(cbrt.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 (log.f32 alpha) #s(literal 2 binary32))) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 (log.f32 alpha) #s(literal 3 binary32)) (pow.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) #s(literal 3 binary32)) (pow.f32 (log.f32 alpha) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (pow.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)) #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (*.f32 (PI.f32) (*.f32 (log.f32 alpha) #s(literal 2 binary32)))))
(log1p.f32 (-.f32 (pow.f32 alpha (*.f32 (PI.f32) #s(literal 2 binary32))) #s(literal 1 binary32)))
(exp.f32 (log.f32 (*.f32 (PI.f32) (*.f32 (log.f32 alpha) #s(literal 2 binary32)))))
(exp.f32 (*.f32 (log.f32 (*.f32 (PI.f32) (*.f32 (log.f32 alpha) #s(literal 2 binary32)))) #s(literal 1 binary32)))
(exp.f32 (+.f32 (log.f32 (log.f32 alpha)) (log.f32 (*.f32 (PI.f32) #s(literal 2 binary32)))))
(-.f32 (/.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (*.f32 (log.f32 alpha) #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 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (*.f32 (log.f32 alpha) #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 (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 (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 (log.f32 alpha) #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 (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 (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 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 (*.f32 (log.f32 alpha) #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)))))) #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 (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 (PI.f32) (*.f32 (*.f32 (log.f32 alpha) #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)))))) (sqrt.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 (*.f32 (log.f32 alpha) #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 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (log.f32 alpha) #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 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) #s(literal 2 binary32)))) (/.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 (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 (PI.f32) (*.f32 (*.f32 (log.f32 alpha) #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 (/.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))) (*.f32 (PI.f32) (*.f32 (*.f32 (log.f32 alpha) #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 (/.f32 (+.f32 alpha #s(literal 1 binary32)) #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 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #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 (log.f32 alpha) #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 (/.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 (log.f32 alpha) #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 (/.f32 (sqrt.f32 (fma.f32 alpha alpha #s(literal -1 binary32))) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) #s(literal 2 binary32)))) (/.f32 (sqrt.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 (+.f32 alpha #s(literal 1 binary32)) (PI.f32)) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (*.f32 (*.f32 (log.f32 alpha) #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 (/.f32 (pow.f32 (cbrt.f32 (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) #s(literal 2 binary32)))) (/.f32 (cbrt.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))))
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(pow.f32 (*.f32 (/.f32 (PI.f32) (pow.f32 alpha #s(literal 2 binary32))) (/.f32 (log.f32 alpha) (-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal -2 binary32))))) #s(literal -1 binary32))
(sqrt.f32 (pow.f32 (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal -2 binary32))) (*.f32 (PI.f32) (log.f32 alpha)))) #s(literal 2 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 (PI.f32) (log.f32 alpha)))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal -2 binary32))) (*.f32 (PI.f32) (log.f32 alpha)))))))
(cbrt.f32 (pow.f32 (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal -2 binary32))) (*.f32 (PI.f32) (log.f32 alpha)))) #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) (log.f32 alpha)) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal -2 binary32))) (*.f32 (PI.f32) (log.f32 alpha))))))
(log1p.f32 (expm1.f32 (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal -2 binary32))) (*.f32 (PI.f32) (log.f32 alpha))))))
(exp.f32 (log.f32 (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal -2 binary32))) (*.f32 (PI.f32) (log.f32 alpha))))))
(exp.f32 (*.f32 (log.f32 (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal -2 binary32))) (*.f32 (PI.f32) (log.f32 alpha))))) #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 (*.f32 #s(literal -2 binary32) (log.f32 alpha)))
(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 (*.f32 #s(literal -2 binary32) (log.f32 alpha)) #s(literal 1 binary32)))

simplify395.0ms (3.2%)

Algorithm
1×egg-herbie
Rules
1782×times-frac
1602×associate-*r*
662×fma-define
554×*-commutative
412×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0101232528
1269627901
Stop Event
1×node limit
Counts
476 → 593
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) (+.f32 (log.f32 #s(literal -1 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))))
(*.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 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 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 #s(literal 1/2 binary32) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 (/.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 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 (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (/.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 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 (/.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 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 (/.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 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 (pow.f32 alpha #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (/.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 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 (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (-.f32 (/.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 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 #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 (-.f32 (/.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 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))))))) (pow.f32 alpha #s(literal 2 binary32)))) (*.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 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (-.f32 (/.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 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 (-.f32 (/.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 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))))))) (pow.f32 alpha #s(literal 2 binary32))))) (*.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 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (-.f32 (/.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 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 (+.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 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))) (*.f32 #s(literal -1 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 #s(literal 1/2 binary32) (/.f32 (-.f32 (/.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 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))))))) (pow.f32 alpha #s(literal 2 binary32)))))) (*.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 (pow.f32 cosTheta #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 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #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 #s(literal 1 binary32) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 4 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 (+.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 4 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 6 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 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #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 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 4 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 (+.f32 (*.f32 #s(literal -1/2 binary32) (/.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 (pow.f32 alpha #s(literal 6 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 8 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 (*.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 4 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 6 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 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #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 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 4 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 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) (*.f32 (PI.f32) (log.f32 alpha))))
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(*.f32 (/.f32 (pow.f32 (cbrt.f32 (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal -2 binary32))))) #s(literal 2 binary32)) (PI.f32)) (/.f32 (cbrt.f32 (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal -2 binary32))))) (log.f32 alpha)))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal -2 binary32))))) #s(literal 2 binary32)) (log.f32 alpha)) (/.f32 (cbrt.f32 (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal -2 binary32))))) (PI.f32)))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal -2 binary32))))) #s(literal 2 binary32)) #s(literal 1 binary32)) (/.f32 (cbrt.f32 (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal -2 binary32))))) (*.f32 (PI.f32) (log.f32 alpha))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal -2 binary32))))) #s(literal 2 binary32)) (pow.f32 (cbrt.f32 (*.f32 (PI.f32) (log.f32 alpha))) #s(literal 2 binary32))) (cbrt.f32 (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal -2 binary32))) (*.f32 (PI.f32) (log.f32 alpha))))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal -2 binary32))))) #s(literal 2 binary32)) (sqrt.f32 (*.f32 (PI.f32) (log.f32 alpha)))) (/.f32 (cbrt.f32 (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal -2 binary32))))) (sqrt.f32 (*.f32 (PI.f32) (log.f32 alpha)))))
(*.f32 (/.f32 (*.f32 alpha (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal -2 binary32))))) (PI.f32)) (/.f32 (*.f32 alpha (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal -2 binary32))))) (log.f32 alpha)))
(*.f32 (/.f32 (*.f32 alpha (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal -2 binary32))))) (log.f32 alpha)) (/.f32 (*.f32 alpha (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal -2 binary32))))) (PI.f32)))
(*.f32 (/.f32 (*.f32 alpha (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal -2 binary32))))) #s(literal 1 binary32)) (/.f32 (*.f32 alpha (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal -2 binary32))))) (*.f32 (PI.f32) (log.f32 alpha))))
(*.f32 (/.f32 (*.f32 alpha (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal -2 binary32))))) (pow.f32 (cbrt.f32 (*.f32 (PI.f32) (log.f32 alpha))) #s(literal 2 binary32))) (/.f32 (*.f32 alpha (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal -2 binary32))))) (cbrt.f32 (*.f32 (PI.f32) (log.f32 alpha)))))
(pow.f32 (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal -2 binary32))) (*.f32 (PI.f32) (log.f32 alpha)))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal -2 binary32))) (*.f32 (PI.f32) (log.f32 alpha))))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal -2 binary32))) (*.f32 (PI.f32) (log.f32 alpha)))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (*.f32 alpha (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal -2 binary32))) (*.f32 (PI.f32) (log.f32 alpha))))) #s(literal 2 binary32))
(pow.f32 (*.f32 (/.f32 (PI.f32) (pow.f32 alpha #s(literal 2 binary32))) (/.f32 (log.f32 alpha) (-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal -2 binary32))))) #s(literal -1 binary32))
(sqrt.f32 (pow.f32 (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal -2 binary32))) (*.f32 (PI.f32) (log.f32 alpha)))) #s(literal 2 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 (PI.f32) (log.f32 alpha)))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal -2 binary32))) (*.f32 (PI.f32) (log.f32 alpha)))))))
(cbrt.f32 (pow.f32 (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal -2 binary32))) (*.f32 (PI.f32) (log.f32 alpha)))) #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) (log.f32 alpha)) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal -2 binary32))) (*.f32 (PI.f32) (log.f32 alpha))))))
(log1p.f32 (expm1.f32 (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal -2 binary32))) (*.f32 (PI.f32) (log.f32 alpha))))))
(exp.f32 (log.f32 (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal -2 binary32))) (*.f32 (PI.f32) (log.f32 alpha))))))
(exp.f32 (*.f32 (log.f32 (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal -2 binary32))) (*.f32 (PI.f32) (log.f32 alpha))))) #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 (*.f32 #s(literal -2 binary32) (log.f32 alpha)))
(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 (*.f32 #s(literal -2 binary32) (log.f32 alpha)) #s(literal 1 binary32)))
Outputs
(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 alpha)))
(*.f32 (log.f32 alpha) (*.f32 #s(literal 2 binary32) (PI.f32)))
(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 alpha)))
(*.f32 (log.f32 alpha) (*.f32 #s(literal 2 binary32) (PI.f32)))
(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 alpha)))
(*.f32 (log.f32 alpha) (*.f32 #s(literal 2 binary32) (PI.f32)))
(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 alpha)))
(*.f32 (log.f32 alpha) (*.f32 #s(literal 2 binary32) (PI.f32)))
(*.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 (log.f32 alpha) (*.f32 #s(literal 2 binary32) (PI.f32)))
(*.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 (log.f32 alpha) (*.f32 #s(literal 2 binary32) (PI.f32)))
(*.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 (log.f32 alpha) (*.f32 #s(literal 2 binary32) (PI.f32)))
(*.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 (log.f32 alpha) (*.f32 #s(literal 2 binary32) (PI.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 2 binary32) (*.f32 (PI.f32) (+.f32 (log.f32 #s(literal -1 binary32)) (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha))))))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))
(*.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 2 binary32) (*.f32 (PI.f32) (+.f32 (log.f32 #s(literal -1 binary32)) (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha))))))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))
(*.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 2 binary32) (*.f32 (PI.f32) (+.f32 (log.f32 #s(literal -1 binary32)) (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha))))))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))
(*.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 2 binary32) (*.f32 (PI.f32) (+.f32 (log.f32 #s(literal -1 binary32)) (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha))))))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (-.f32 (log.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 #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 (*.f32 (PI.f32) (log.f32 alpha)) (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))
(-.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 (/.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 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 #s(literal 1/2 binary32) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))))) (/.f32 (neg.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 #s(literal 1/2 binary32) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (PI.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 (*.f32 (PI.f32) (log.f32 alpha)) (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 (*.f32 (PI.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 (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (/.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 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 (/.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 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)))))))))
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(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 (*.f32 #s(literal -2 binary32) (log.f32 alpha)))
(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 (*.f32 #s(literal -2 binary32) (log.f32 alpha)) #s(literal 1 binary32)))
(pow.f32 alpha #s(literal -2 binary32))

eval468.0ms (3.8%)

Compiler

Compiled 21558 to 13983 computations (35.1% saved)

prune276.0ms (2.3%)

Pruning

42 alts after pruning (35 fresh and 7 done)

PrunedKeptTotal
New83216848
Fresh51924
Picked235
Done044
Total83942881
Accuracy
100.0%
Counts
881 → 42
Alt Table
Click to see full alt table
StatusAccuracyProgram
95.3%
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))
98.0%
(/.f32 (/.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 alpha)))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))
✓95.4%
(/.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 alpha alpha #s(literal -1 binary32))) (log.f32 alpha)) (PI.f32))
95.2%
(/.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 (log.f32 alpha) (fma.f32 alpha alpha #s(literal -1 binary32))))) (PI.f32))
63.9%
(/.f32 (/.f32 #s(literal -1/2 binary32) (log.f32 alpha)) (PI.f32))
63.9%
(/.f32 (/.f32 #s(literal -1/2 binary32) (PI.f32)) (log.f32 alpha))
97.6%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (pow.f32 (cbrt.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha))) #s(literal 3 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
97.3%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32)) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
97.3%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)) (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
✓97.4%
(/.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))))
✓98.2%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 (log.f32 alpha) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
97.2%
(/.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))))
74.7%
(/.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))))
✓97.4%
(/.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))))
✓98.3%
(/.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))))
✓97.4%
(/.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))))
95.2%
(/.f32 (*.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1/2 binary32) (log.f32 alpha))) (PI.f32))
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)))
94.9%
(/.f32 (*.f32 (/.f32 (+.f32 alpha #s(literal -1 binary32)) (fma.f32 cosTheta cosTheta #s(literal 1 binary32))) #s(literal 1 binary32)) (*.f32 (log.f32 alpha) (/.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (+.f32 alpha #s(literal 1 binary32)))))
97.3%
(/.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) (-.f32 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))))
95.3%
(/.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) (log.f32 alpha))) (PI.f32))
95.2%
(/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (*.f32 (/.f32 (PI.f32) (fma.f32 alpha alpha #s(literal -1 binary32))) (log.f32 alpha))))
63.9%
(/.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (log.f32 alpha)))
65.4%
(/.f32 #s(literal -1 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (log.f32 alpha) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
95.2%
(*.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (/.f32 #s(literal 1/2 binary32) (log.f32 alpha)))
95.2%
(*.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 (PI.f32) (log.f32 alpha))))
94.8%
(*.f32 (/.f32 (/.f32 (+.f32 alpha #s(literal -1 binary32)) (fma.f32 cosTheta cosTheta #s(literal 1 binary32))) (PI.f32)) (/.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) #s(literal 2 binary32)) (log.f32 alpha)))
95.1%
(*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) (PI.f32)) (log.f32 alpha)) (fma.f32 alpha alpha #s(literal -1 binary32)))
95.0%
(*.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) (PI.f32))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (log.f32 alpha)))
95.3%
(*.f32 (/.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (log.f32 alpha)) (PI.f32)))
94.9%
(*.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 alpha (PI.f32))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (PI.f32)))) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (*.f32 (fma.f32 cosTheta cosTheta #s(literal 1 binary32)) (log.f32 alpha))))
94.8%
(*.f32 (*.f32 alpha (+.f32 (/.f32 #s(literal 1/2 binary32) (PI.f32)) (/.f32 #s(literal 1/2 binary32) (*.f32 (PI.f32) alpha)))) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (*.f32 (fma.f32 cosTheta cosTheta #s(literal 1 binary32)) (log.f32 alpha))))
95.1%
(*.f32 #s(literal 1/2 binary32) (pow.f32 (/.f32 (*.f32 (PI.f32) (log.f32 alpha)) (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal -1 binary32)))
94.4%
(*.f32 #s(literal 1/2 binary32) (/.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 (PI.f32) (log.f32 alpha))))
94.2%
(*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 alpha #s(literal 1 binary32))) (pow.f32 (cbrt.f32 (*.f32 (PI.f32) (log.f32 alpha))) #s(literal 3 binary32))))
✓95.0%
(*.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))))
94.8%
(*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 alpha #s(literal 1 binary32))) (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))))
95.0%
(*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 alpha #s(literal 1 binary32))) (log.f32 (pow.f32 alpha (PI.f32)))))
95.2%
(*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (/.f32 (log.f32 alpha) (fma.f32 alpha alpha #s(literal -1 binary32))))))
63.9%
(*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))
63.9%
(*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) (log.f32 (pow.f32 alpha (PI.f32)))))
94.9%
(*.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 2387 to 1558 computations (34.7% saved)

regimes108.0ms (0.9%)

Counts
86 → 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) (log.f32 alpha)) (PI.f32))
(*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (log.f32 alpha))))
(*.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 #s(literal -1 binary32) (PI.f32)) (log.f32 alpha)))
(*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))
(*.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 #s(literal 2 binary32) (PI.f32))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (log.f32 alpha)))
(*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 alpha #s(literal 1 binary32))) (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) 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) (*.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 (*.f32 (log.f32 alpha) #s(literal 2 binary32)) (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
(/.f32 #s(literal -1 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (log.f32 alpha) #s(literal 2 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) (*.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 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 (log.f32 alpha) #s(literal 2 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) (*.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) (/.f32 #s(literal -1 binary32) (log.f32 (pow.f32 alpha (PI.f32)))))
(*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) (PI.f32)) (log.f32 alpha)) (fma.f32 alpha alpha #s(literal -1 binary32)))
(*.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (/.f32 #s(literal 1/2 binary32) (log.f32 alpha)))
(/.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 alpha alpha #s(literal -1 binary32))) (log.f32 alpha)) (PI.f32))
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha)))
(/.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) (log.f32 alpha))) (PI.f32))
(/.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 (fma.f32 alpha alpha #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (log.f32 alpha)))))
(*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (/.f32 (log.f32 alpha) (fma.f32 alpha alpha #s(literal -1 binary32))))))
(*.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1/2 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) (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))))
(/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (*.f32 (/.f32 (PI.f32) (fma.f32 alpha alpha #s(literal -1 binary32))) (log.f32 alpha))))
(/.f32 (*.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1/2 binary32) (log.f32 alpha))) (PI.f32))
(/.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 (log.f32 alpha) (fma.f32 alpha alpha #s(literal -1 binary32))))) (PI.f32))
(*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 alpha #s(literal 1 binary32))) (log.f32 (pow.f32 alpha (PI.f32)))))
(*.f32 (/.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (log.f32 alpha)) (PI.f32)))
(*.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) (PI.f32))) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (*.f32 (fma.f32 cosTheta cosTheta #s(literal 1 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 cosTheta cosTheta #s(literal 1 binary32))))
(*.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 (fma.f32 cosTheta cosTheta #s(literal 1 binary32)) (log.f32 alpha))) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (*.f32 #s(literal 2 binary32) (PI.f32))))
(*.f32 (/.f32 (/.f32 (+.f32 alpha #s(literal -1 binary32)) (fma.f32 cosTheta cosTheta #s(literal 1 binary32))) (PI.f32)) (/.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) #s(literal 2 binary32)) (log.f32 alpha)))
(/.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 #s(literal 1/2 binary32) (/.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 (PI.f32) (log.f32 alpha))))
(/.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) (-.f32 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 (+.f32 alpha #s(literal -1 binary32)) (fma.f32 cosTheta cosTheta #s(literal 1 binary32))) #s(literal 1 binary32)) (*.f32 (log.f32 alpha) (/.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (+.f32 alpha #s(literal 1 binary32)))))
(*.f32 (*.f32 alpha (+.f32 (/.f32 #s(literal 1/2 binary32) (PI.f32)) (/.f32 #s(literal 1/2 binary32) (*.f32 (PI.f32) alpha)))) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (*.f32 (fma.f32 cosTheta cosTheta #s(literal 1 binary32)) (log.f32 alpha))))
(*.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 alpha (PI.f32))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (PI.f32)))) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (*.f32 (fma.f32 cosTheta cosTheta #s(literal 1 binary32)) (log.f32 alpha))))
(/.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) (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 (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)))))
(*.f32 #s(literal 1/2 binary32) (pow.f32 (/.f32 (*.f32 (PI.f32) (log.f32 alpha)) (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal -1 binary32)))
(*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (PI.f32) (fma.f32 cosTheta cosTheta #s(literal 1 binary32))) (log.f32 alpha))))
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 #s(literal 2 binary32) (*.f32 (log.f32 alpha) (fma.f32 cosTheta cosTheta #s(literal 1 binary32))))) (PI.f32))
(*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 alpha #s(literal 1 binary32))) (pow.f32 (cbrt.f32 (*.f32 (PI.f32) (log.f32 alpha))) #s(literal 3 binary32))))
(*.f32 #s(literal 1/2 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 alpha))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 cosTheta cosTheta #s(literal 1 binary32)) (log.f32 alpha))) (*.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32))))
(/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 (*.f32 (PI.f32) (fma.f32 cosTheta cosTheta #s(literal 1 binary32))) (log.f32 alpha)) (fma.f32 alpha alpha #s(literal -1 binary32)))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))))
(/.f32 (*.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) (PI.f32))) (+.f32 alpha #s(literal -1 binary32))) (log.f32 (pow.f32 alpha (fma.f32 cosTheta cosTheta #s(literal 1 binary32)))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32)) (log.f32 (*.f32 alpha alpha))) (+.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 (+.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 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) (*.f32 #s(literal 2 binary32) (*.f32 (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 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 (cbrt.f32 (pow.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 (*.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 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (pow.f32 (cbrt.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (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 (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 #s(literal 1 binary32) (PI.f32)) (/.f32 (fma.f32 alpha 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 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (/.f32 #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 #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)) (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 (/.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 (neg.f32 (fma.f32 alpha alpha #s(literal -1 binary32))) (/.f32 #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)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (log.f32 alpha) (*.f32 #s(literal 2 binary32) (PI.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)) (+.f32 alpha #s(literal 1 binary32))))
(/.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))))
(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))
(/.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 (pow.f32 (sqrt.f32 (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))) #s(literal 2 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))))
(/.f32 (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (PI.f32) (neg.f32 (log.f32 alpha))) (pow.f32 alpha #s(literal 2 binary32)))) (/.f32 #s(literal 1/2 binary32) (*.f32 (PI.f32) (neg.f32 (log.f32 alpha)))))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))
Outputs
(/.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))))
Calls

4 calls:

28.0ms
(*.f32 alpha alpha)
26.0ms
cosTheta
24.0ms
(/.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))))
23.0ms
alpha
Results
AccuracySegmentsBranch
98.5%1cosTheta
98.5%1alpha
98.5%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))))
98.5%1(*.f32 alpha alpha)
Compiler

Compiled 37 to 23 computations (37.8% saved)

regimes75.0ms (0.6%)

Counts
64 → 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) (log.f32 alpha)) (PI.f32))
(*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (log.f32 alpha))))
(*.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 #s(literal -1 binary32) (PI.f32)) (log.f32 alpha)))
(*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))
(*.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 #s(literal 2 binary32) (PI.f32))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (log.f32 alpha)))
(*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 alpha #s(literal 1 binary32))) (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) 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) (*.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 (*.f32 (log.f32 alpha) #s(literal 2 binary32)) (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
(/.f32 #s(literal -1 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (log.f32 alpha) #s(literal 2 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) (*.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 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 (log.f32 alpha) #s(literal 2 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) (*.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) (/.f32 #s(literal -1 binary32) (log.f32 (pow.f32 alpha (PI.f32)))))
(*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) (PI.f32)) (log.f32 alpha)) (fma.f32 alpha alpha #s(literal -1 binary32)))
(*.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (/.f32 #s(literal 1/2 binary32) (log.f32 alpha)))
(/.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 alpha alpha #s(literal -1 binary32))) (log.f32 alpha)) (PI.f32))
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha)))
(/.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) (log.f32 alpha))) (PI.f32))
(/.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 (fma.f32 alpha alpha #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (log.f32 alpha)))))
(*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (/.f32 (log.f32 alpha) (fma.f32 alpha alpha #s(literal -1 binary32))))))
(*.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1/2 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) (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))))
(/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (*.f32 (/.f32 (PI.f32) (fma.f32 alpha alpha #s(literal -1 binary32))) (log.f32 alpha))))
(/.f32 (*.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1/2 binary32) (log.f32 alpha))) (PI.f32))
(/.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 (log.f32 alpha) (fma.f32 alpha alpha #s(literal -1 binary32))))) (PI.f32))
(*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 alpha #s(literal 1 binary32))) (log.f32 (pow.f32 alpha (PI.f32)))))
(*.f32 (/.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (log.f32 alpha)) (PI.f32)))
(*.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) (PI.f32))) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (*.f32 (fma.f32 cosTheta cosTheta #s(literal 1 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 cosTheta cosTheta #s(literal 1 binary32))))
(*.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 (fma.f32 cosTheta cosTheta #s(literal 1 binary32)) (log.f32 alpha))) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (*.f32 #s(literal 2 binary32) (PI.f32))))
(*.f32 (/.f32 (/.f32 (+.f32 alpha #s(literal -1 binary32)) (fma.f32 cosTheta cosTheta #s(literal 1 binary32))) (PI.f32)) (/.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) #s(literal 2 binary32)) (log.f32 alpha)))
(/.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 #s(literal 1/2 binary32) (/.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 (PI.f32) (log.f32 alpha))))
(/.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) (-.f32 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 (+.f32 alpha #s(literal -1 binary32)) (fma.f32 cosTheta cosTheta #s(literal 1 binary32))) #s(literal 1 binary32)) (*.f32 (log.f32 alpha) (/.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (+.f32 alpha #s(literal 1 binary32)))))
(*.f32 (*.f32 alpha (+.f32 (/.f32 #s(literal 1/2 binary32) (PI.f32)) (/.f32 #s(literal 1/2 binary32) (*.f32 (PI.f32) alpha)))) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (*.f32 (fma.f32 cosTheta cosTheta #s(literal 1 binary32)) (log.f32 alpha))))
(*.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 alpha (PI.f32))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (PI.f32)))) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (*.f32 (fma.f32 cosTheta cosTheta #s(literal 1 binary32)) (log.f32 alpha))))
(/.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) (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 (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)))))
(*.f32 #s(literal 1/2 binary32) (pow.f32 (/.f32 (*.f32 (PI.f32) (log.f32 alpha)) (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal -1 binary32)))
(*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (PI.f32) (fma.f32 cosTheta cosTheta #s(literal 1 binary32))) (log.f32 alpha))))
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 #s(literal 2 binary32) (*.f32 (log.f32 alpha) (fma.f32 cosTheta cosTheta #s(literal 1 binary32))))) (PI.f32))
(*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 alpha #s(literal 1 binary32))) (pow.f32 (cbrt.f32 (*.f32 (PI.f32) (log.f32 alpha))) #s(literal 3 binary32))))
(*.f32 #s(literal 1/2 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 alpha))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 cosTheta cosTheta #s(literal 1 binary32)) (log.f32 alpha))) (*.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32))))
(/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 (*.f32 (PI.f32) (fma.f32 cosTheta cosTheta #s(literal 1 binary32))) (log.f32 alpha)) (fma.f32 alpha alpha #s(literal -1 binary32)))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))))
(/.f32 (*.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) (PI.f32))) (+.f32 alpha #s(literal -1 binary32))) (log.f32 (pow.f32 alpha (fma.f32 cosTheta cosTheta #s(literal 1 binary32)))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32)) (log.f32 (*.f32 alpha alpha))) (+.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 (+.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)))
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:

20.0ms
cosTheta
18.0ms
(/.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))))
17.0ms
(*.f32 alpha alpha)
16.0ms
alpha
Results
AccuracySegmentsBranch
98.3%1cosTheta
98.3%1alpha
98.3%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))))
98.3%1(*.f32 alpha alpha)
Compiler

Compiled 37 to 23 computations (37.8% saved)

regimes16.0ms (0.1%)

Counts
15 → 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) (log.f32 alpha)) (PI.f32))
(*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (log.f32 alpha))))
(*.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 #s(literal -1 binary32) (PI.f32)) (log.f32 alpha)))
(*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))
(*.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 #s(literal 2 binary32) (PI.f32))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (log.f32 alpha)))
(*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 alpha #s(literal 1 binary32))) (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) 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) (*.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 (*.f32 (log.f32 alpha) #s(literal 2 binary32)) (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
(/.f32 #s(literal -1 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (log.f32 alpha) #s(literal 2 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) (*.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:

5.0ms
(*.f32 alpha alpha)
5.0ms
cosTheta
5.0ms
alpha
Results
AccuracySegmentsBranch
97.4%1cosTheta
97.4%1alpha
97.4%1(*.f32 alpha alpha)
Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes8.0ms (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) (log.f32 alpha)) (PI.f32))
(*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (log.f32 alpha))))
(*.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 #s(literal -1 binary32) (PI.f32)) (log.f32 alpha)))
(*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))
(*.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 #s(literal 2 binary32) (PI.f32))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (log.f32 alpha)))
(*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 alpha #s(literal 1 binary32))) (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))))
Outputs
(*.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) (PI.f32))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (log.f32 alpha)))
Calls

2 calls:

4.0ms
cosTheta
3.0ms
alpha
Results
AccuracySegmentsBranch
95.0%1cosTheta
95.0%1alpha
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes6.0ms (0.1%)

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

2 calls:

3.0ms
alpha
3.0ms
cosTheta
Results
AccuracySegmentsBranch
95.0%1cosTheta
95.0%1alpha
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes7.0ms (0.1%)

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

2 calls:

4.0ms
alpha
2.0ms
cosTheta
Results
AccuracySegmentsBranch
94.9%1cosTheta
94.9%1alpha
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes6.0ms (0%)

Counts
6 → 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) (log.f32 alpha)) (PI.f32))
(*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (log.f32 alpha))))
(*.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 #s(literal -1 binary32) (PI.f32)) (log.f32 alpha)))
(*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 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:

3.0ms
cosTheta
2.0ms
alpha
Results
AccuracySegmentsBranch
63.9%1cosTheta
63.9%1alpha
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
63.9%1alpha
63.9%1cosTheta
Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify7.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
34×*-commutative
18×+-commutative
10×sub-neg
6×neg-sub0
6×neg-mul-1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
052468
182464
291464
3100464
4101464
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.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 (*.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 #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) (PI.f32))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (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 #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 (/.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 (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 (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (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 (pow.f32 alpha #s(literal 2 binary32)) (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 (*.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 #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) (PI.f32))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (log.f32 alpha)))
(*.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) (PI.f32))) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (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 #s(literal 1/2 binary32) (/.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) (-.f32 alpha #s(literal 1 binary32))) (*.f32 (PI.f32) (log.f32 alpha))))
(*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) (*.f32 (PI.f32) (log.f32 alpha))))
(*.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 (/.f32 #s(literal -1/2 binary32) (PI.f32)) (log.f32 alpha))
(/.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (log.f32 alpha)))

soundness1.9s (15.6%)

Rules
1782×times-frac
1602×associate-*r*
1226×associate-/r*
1222×associate-*r/
1183×log1p-expm1-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
052577
11006573
0101232528
1269627901
0126546466
1368142606
0121961619
1368653065
073363586
1199363586
032472
1539472
25988472
048627
1901610
Stop Event
1×fuel
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
Compiler

Compiled 1084 to 598 computations (44.8% saved)

preprocess65.0ms (0.5%)

Remove

(abs alpha)

(abs cosTheta)

Compiler

Compiled 1024 to 674 computations (34.2% saved)

end0.0ms (0%)

Profiling

Loading profile data...