GTR1 distribution

Time bar (total: 13.5s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze81.0ms (0.6%)

Memory
-48.0MiB live, 61.3MiB allocated; 62ms collecting garbage
Algorithm
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
0%0%0.6%99.4%0%0%0%3
0%0%0.6%99.4%0%0%0%4
50%0.3%0.3%99.4%0%0%0%5
50%0.3%0.3%99.4%0%0%0%6
75%0.5%0.2%99.4%0%0%0%7
75%0.5%0.2%99.4%0%0%0%8
87.5%0.6%0.1%99.4%0%0%0%9
87.5%0.6%0.1%99.4%0%0%0%10
93.7%0.6%0%99.4%0%0%0%11
93.7%0.6%0%99.4%0%0%0%12
Compiler

Compiled 40 to 23 computations (42.5% saved)

sample860.0ms (6.4%)

Memory
85.0MiB live, 1 432.7MiB allocated; 164ms collecting garbage
Samples
627.0ms8 255×0valid
0.0ms1valid
Precisions
Click to see histograms. Total time spent on operations: 396.0ms
ival-mult!: 195.0ms (49.3% of total)
ival-log: 112.0ms (28.3% of total)
ival-div!: 41.0ms (10.4% of total)
ival-sub!: 23.0ms (5.8% of total)
ival-add!: 22.0ms (5.6% of total)
adjust: 2.0ms (0.5% of total)
ival-and: 1.0ms (0.3% of total)
ival-<=: 1.0ms (0.3% of total)
ival-pi: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
Bogosity

preprocess38.0ms (0.3%)

Memory
-36.8MiB live, 56.2MiB allocated; 7ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
040146
1218144
2963144
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.6%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
Symmetry

(abs cosTheta)

(abs alpha)

Compiler

Compiled 36 to 26 computations (27.8% saved)

series314.0ms (2.3%)

Memory
41.3MiB live, 425.8MiB allocated; 42ms collecting garbage
Counts
13 → 58
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 alpha alpha) #s(literal 1 binary32))
(*.f32 alpha 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 (PI.f32) (log.f32 (*.f32 alpha alpha)))
(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 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)
(*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta)
cosTheta
Outputs
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.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))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (-.f32 (fma.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)))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (-.f32 (fma.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)))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (-.f32 (fma.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)))))))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32)))))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (fma.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32))) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 (pow.f32 alpha #s(literal 2 binary32))) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)))))))
#s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))
#s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)))))
#s(approx (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32))))
#s(approx (* (- (* alpha alpha) 1) cosTheta) (*.f32 cosTheta (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32))))
#s(approx cosTheta cosTheta)
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.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)))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.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))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.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))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.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))))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.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))))))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (fma.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))))))
#s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) (pow.f32 alpha #s(literal 2 binary32))) #s(literal 1 binary32))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.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))))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (-.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))))))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (-.f32 (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 (fma.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))))))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (-.f32 (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 (fma.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))))))))))
#s(approx (- (* alpha alpha) 1) #s(literal -1 binary32))
#s(approx (- (* alpha alpha) 1) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)))
#s(approx (* alpha alpha) (pow.f32 alpha #s(literal 2 binary32)))
#s(approx alpha alpha)
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.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))))))))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (fma.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)))))) (*.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 alpha)))))))
#s(approx (* (PI) (log (* alpha alpha))) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 alpha))))
#s(approx (log (* alpha alpha)) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))
#s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))
#s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (+.f32 #s(literal 1 binary32) (fma.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (pow.f32 cosTheta #s(literal 2 binary32))))))
#s(approx (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))
#s(approx (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (fma.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)))))
#s(approx (* (- (* alpha alpha) 1) cosTheta) (*.f32 #s(literal -1 binary32) cosTheta))
#s(approx (* (- (* alpha alpha) 1) cosTheta) (fma.f32 #s(literal -1 binary32) cosTheta (*.f32 (pow.f32 alpha #s(literal 2 binary32)) cosTheta)))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.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))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (-.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)))))) (fma.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)))))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (-.f32 (fma.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))))))) (fma.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)))))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (-.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))))) (fma.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)))))) (fma.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))))))))
#s(approx (- (* alpha alpha) 1) (*.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))))))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.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)))))))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (fma.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)))))))
#s(approx (* (PI) (log (* alpha alpha))) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))
#s(approx (log (* alpha alpha)) (*.f32 #s(literal -2 binary32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))
#s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (pow.f32 cosTheta #s(literal 2 binary32))))
#s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (fma.f32 #s(literal -1 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (pow.f32 alpha #s(literal 2 binary32))) (+.f32 (/.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 2 binary32))) (pow.f32 cosTheta #s(literal 2 binary32))))))
#s(approx (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (fma.f32 #s(literal -1 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (pow.f32 alpha #s(literal 2 binary32))) (pow.f32 cosTheta #s(literal 2 binary32)))))
#s(approx (* (- (* alpha alpha) 1) cosTheta) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) cosTheta))
#s(approx (* (- (* alpha alpha) 1) cosTheta) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (+.f32 cosTheta (*.f32 #s(literal -1 binary32) (/.f32 cosTheta (pow.f32 alpha #s(literal 2 binary32)))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.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))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (-.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)))))) (fma.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)))))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (-.f32 (fma.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))))))) (fma.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)))))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (-.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))))) (fma.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)))))) (fma.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))))))))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.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)))))))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (fma.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)))))))
#s(approx (* (PI) (log (* alpha alpha))) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))
#s(approx (log (* alpha alpha)) (*.f32 #s(literal -2 binary32) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))
Calls

6 calls:

TimeVariablePointExpression
32.0ms
alpha
@0
((/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (PI) (log (* alpha alpha))) (PI) (log (* alpha alpha)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (* (- (* alpha alpha) 1) cosTheta) cosTheta)
20.0ms
alpha
@inf
((/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (PI) (log (* alpha alpha))) (PI) (log (* alpha alpha)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (* (- (* alpha alpha) 1) cosTheta) cosTheta)
11.0ms
alpha
@-inf
((/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (PI) (log (* alpha alpha))) (PI) (log (* alpha alpha)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (* (- (* alpha alpha) 1) cosTheta) cosTheta)
11.0ms
cosTheta
@0
((/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (PI) (log (* alpha alpha))) (PI) (log (* alpha alpha)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (* (- (* alpha alpha) 1) cosTheta) cosTheta)
5.0ms
cosTheta
@inf
((/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (PI) (log (* alpha alpha))) (PI) (log (* alpha alpha)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (* (- (* alpha alpha) 1) cosTheta) cosTheta)

rewrite1.9s (14.4%)

Memory
-303.6MiB live, 1 001.7MiB allocated; 1.4s collecting garbage
Counts
13 → 777
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 alpha alpha) #s(literal 1 binary32))
(*.f32 alpha 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 (PI.f32) (log.f32 (*.f32 alpha alpha)))
(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 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)
(*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta)
cosTheta
Outputs
(*.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))))
(*.f32 (/.f32 (-.f32 alpha #s(literal 1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) (/.f32 (+.f32 alpha #s(literal 1 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))))
(*.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))))
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))))
(*.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))))
(*.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha))) (/.f32 (/.f32 (-.f32 alpha #s(literal 1 binary32)) (PI.f32)) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))))
(*.f32 (/.f32 (-.f32 alpha #s(literal 1 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))) (/.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))))
(*.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 alpha alpha)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))) (fma.f32 alpha alpha #s(literal -1 binary32)))
(*.f32 (/.f32 (-.f32 alpha #s(literal 1 binary32)) (*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))) (+.f32 alpha #s(literal 1 binary32)))
(*.f32 (/.f32 (neg.f32 #s(literal 1 binary32)) (*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))) (-.f32 #s(literal 1 binary32) (*.f32 alpha alpha)))
(*.f32 (/.f32 (-.f32 alpha #s(literal 1 binary32)) (*.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha)))) (/.f32 (+.f32 alpha #s(literal 1 binary32)) (PI.f32)))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) alpha) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) (/.f32 (-.f32 (neg.f32 #s(literal 1 binary32)) alpha) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))))
(*.f32 (/.f32 (+.f32 (fabs.f32 alpha) #s(literal 1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) (/.f32 (-.f32 (fabs.f32 alpha) #s(literal 1 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))))
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(+.f32 (*.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal 1 binary32))
(+.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)) #s(literal 0 binary32))
(+.f32 #s(literal 1 binary32) (+.f32 #s(literal 0 binary32) (*.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)))))
(+.f32 #s(literal 1 binary32) (-.f32 #s(literal 0 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 alpha alpha)) (*.f32 cosTheta cosTheta))))
(-.f32 (*.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32))) (neg.f32 #s(literal 1 binary32)))
(-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 alpha alpha)) (*.f32 cosTheta cosTheta)))
(/.f32 (fma.f32 (*.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal 2 binary32) #s(literal 2 binary32)) #s(literal 2 binary32))
(fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))
(fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 cosTheta cosTheta) (-.f32 #s(literal 1 binary32) alpha)) (-.f32 (neg.f32 #s(literal 1 binary32)) alpha) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 cosTheta cosTheta) (+.f32 alpha #s(literal 1 binary32))) (-.f32 alpha #s(literal 1 binary32)) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 cosTheta cosTheta) (-.f32 alpha #s(literal 1 binary32))) (+.f32 alpha #s(literal 1 binary32)) #s(literal 1 binary32))
(fma.f32 (-.f32 #s(literal 1 binary32) (*.f32 alpha alpha)) (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32))
(fma.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) cosTheta) (*.f32 (-.f32 alpha #s(literal 1 binary32)) cosTheta) #s(literal 1 binary32))
(fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fabs.f32 cosTheta)) (fabs.f32 cosTheta) #s(literal 1 binary32))
(fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32))
(fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) (neg.f32 (neg.f32 cosTheta)) #s(literal 1 binary32))
(fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 alpha alpha)) cosTheta) (neg.f32 cosTheta) #s(literal 1 binary32))
(fma.f32 (neg.f32 (neg.f32 cosTheta)) (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) #s(literal 1 binary32))
(fma.f32 cosTheta (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) #s(literal 1 binary32))
(fma.f32 (fabs.f32 cosTheta) (*.f32 (fabs.f32 cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal 1 binary32))
(fma.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 (*.f32 cosTheta cosTheta) (-.f32 alpha #s(literal 1 binary32))) #s(literal 1 binary32))
(fma.f32 (-.f32 alpha #s(literal 1 binary32)) (*.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 cosTheta cosTheta)) #s(literal 1 binary32))
(fma.f32 (neg.f32 cosTheta) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 alpha alpha)) cosTheta) #s(literal 1 binary32))
(fma.f32 #s(literal 1 binary32) #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32))))
(fma.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) #s(literal 2 binary32)) (*.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32))))
(fma.f32 (neg.f32 #s(literal 1 binary32)) (neg.f32 #s(literal 1 binary32)) (*.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32))))
(fma.f32 (*.f32 cosTheta (*.f32 (+.f32 alpha #s(literal 1 binary32)) cosTheta)) (-.f32 alpha #s(literal 1 binary32)) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 cosTheta cosTheta) (+.f32 (fabs.f32 alpha) #s(literal 1 binary32))) (-.f32 (fabs.f32 alpha) #s(literal 1 binary32)) #s(literal 1 binary32))
(fma.f32 (+.f32 (fabs.f32 alpha) #s(literal 1 binary32)) (*.f32 (-.f32 (fabs.f32 alpha) #s(literal 1 binary32)) (*.f32 cosTheta cosTheta)) #s(literal 1 binary32))
(fma.f32 (-.f32 #s(literal 1 binary32) alpha) (*.f32 (-.f32 (neg.f32 #s(literal 1 binary32)) alpha) (*.f32 cosTheta cosTheta)) #s(literal 1 binary32))
(fma.f32 #s(literal 1 binary32) #s(literal 1 binary32) (+.f32 #s(literal 0 binary32) (*.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)))))
(fma.f32 (neg.f32 #s(literal 1 binary32)) (neg.f32 #s(literal 1 binary32)) (+.f32 #s(literal 0 binary32) (*.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)))))
(fma.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) #s(literal 2 binary32)) (+.f32 #s(literal 0 binary32) (*.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)))))
(fma.f32 #s(literal 1 binary32) #s(literal 1 binary32) (-.f32 #s(literal 0 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 alpha alpha)) (*.f32 cosTheta cosTheta))))
(fma.f32 (neg.f32 #s(literal 1 binary32)) (neg.f32 #s(literal 1 binary32)) (-.f32 #s(literal 0 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 alpha alpha)) (*.f32 cosTheta cosTheta))))
(fma.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) #s(literal 2 binary32)) (-.f32 #s(literal 0 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 alpha alpha)) (*.f32 cosTheta cosTheta))))
(neg.f32 (neg.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))))
(*.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)))
(*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta))
(*.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta)
(*.f32 (*.f32 (*.f32 cosTheta cosTheta) (-.f32 #s(literal 1 binary32) alpha)) (-.f32 (neg.f32 #s(literal 1 binary32)) alpha))
(*.f32 (*.f32 (*.f32 cosTheta cosTheta) (+.f32 alpha #s(literal 1 binary32))) (-.f32 alpha #s(literal 1 binary32)))
(*.f32 (*.f32 (*.f32 cosTheta cosTheta) (-.f32 alpha #s(literal 1 binary32))) (+.f32 alpha #s(literal 1 binary32)))
(*.f32 (-.f32 #s(literal 1 binary32) (*.f32 alpha alpha)) (neg.f32 (*.f32 cosTheta cosTheta)))
(*.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) cosTheta) (*.f32 (-.f32 alpha #s(literal 1 binary32)) cosTheta))
(*.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fabs.f32 cosTheta)) (fabs.f32 cosTheta))
(*.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) (neg.f32 (neg.f32 cosTheta)))
(*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 alpha alpha)) cosTheta) (neg.f32 cosTheta))
(*.f32 (neg.f32 (neg.f32 cosTheta)) (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta))
(*.f32 cosTheta (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta))
(*.f32 (fabs.f32 cosTheta) (*.f32 (fabs.f32 cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32))))
(*.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 (*.f32 cosTheta cosTheta) (-.f32 alpha #s(literal 1 binary32))))
(*.f32 (-.f32 alpha #s(literal 1 binary32)) (*.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 cosTheta cosTheta)))
(*.f32 (neg.f32 cosTheta) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 alpha alpha)) cosTheta))
(*.f32 (*.f32 cosTheta (*.f32 (+.f32 alpha #s(literal 1 binary32)) cosTheta)) (-.f32 alpha #s(literal 1 binary32)))
(*.f32 (*.f32 (*.f32 cosTheta cosTheta) (+.f32 (fabs.f32 alpha) #s(literal 1 binary32))) (-.f32 (fabs.f32 alpha) #s(literal 1 binary32)))
(*.f32 (+.f32 (fabs.f32 alpha) #s(literal 1 binary32)) (*.f32 (-.f32 (fabs.f32 alpha) #s(literal 1 binary32)) (*.f32 cosTheta cosTheta)))
(*.f32 (-.f32 #s(literal 1 binary32) alpha) (*.f32 (-.f32 (neg.f32 #s(literal 1 binary32)) alpha) (*.f32 cosTheta cosTheta)))
(+.f32 (*.f32 (*.f32 cosTheta cosTheta) (*.f32 alpha alpha)) (*.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32)))
(+.f32 (*.f32 (*.f32 cosTheta cosTheta) (*.f32 alpha alpha)) (*.f32 (*.f32 cosTheta cosTheta) (neg.f32 #s(literal 1 binary32))))
(+.f32 (*.f32 (*.f32 cosTheta cosTheta) (neg.f32 #s(literal 1 binary32))) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 alpha alpha)))
(+.f32 (*.f32 (*.f32 alpha alpha) (*.f32 cosTheta cosTheta)) (*.f32 #s(literal -1 binary32) (*.f32 cosTheta cosTheta)))
(+.f32 (*.f32 (*.f32 alpha alpha) (*.f32 cosTheta cosTheta)) (*.f32 (neg.f32 #s(literal 1 binary32)) (*.f32 cosTheta cosTheta)))
(+.f32 (*.f32 (neg.f32 #s(literal 1 binary32)) (*.f32 cosTheta cosTheta)) (*.f32 (*.f32 alpha alpha) (*.f32 cosTheta cosTheta)))
(+.f32 (*.f32 (*.f32 (*.f32 cosTheta alpha) alpha) cosTheta) (*.f32 (neg.f32 (*.f32 cosTheta #s(literal 1 binary32))) cosTheta))
(+.f32 (*.f32 cosTheta (*.f32 (*.f32 cosTheta alpha) alpha)) (*.f32 cosTheta (neg.f32 (*.f32 cosTheta #s(literal 1 binary32)))))
(fma.f32 (*.f32 alpha alpha) (*.f32 cosTheta cosTheta) (*.f32 #s(literal -1 binary32) (*.f32 cosTheta cosTheta)))
(fma.f32 (*.f32 alpha alpha) (*.f32 cosTheta cosTheta) (*.f32 (neg.f32 #s(literal 1 binary32)) (*.f32 cosTheta cosTheta)))
(fma.f32 (neg.f32 #s(literal 1 binary32)) (*.f32 cosTheta cosTheta) (*.f32 (*.f32 alpha alpha) (*.f32 cosTheta cosTheta)))
(fma.f32 (*.f32 cosTheta cosTheta) (*.f32 alpha alpha) (*.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32)))
(fma.f32 (*.f32 cosTheta cosTheta) (*.f32 alpha alpha) (*.f32 (*.f32 cosTheta cosTheta) (neg.f32 #s(literal 1 binary32))))
(fma.f32 (*.f32 cosTheta cosTheta) (neg.f32 #s(literal 1 binary32)) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 alpha alpha)))
(fma.f32 (*.f32 (*.f32 cosTheta alpha) alpha) cosTheta (*.f32 (neg.f32 (*.f32 cosTheta #s(literal 1 binary32))) cosTheta))
(fma.f32 cosTheta (*.f32 (*.f32 cosTheta alpha) alpha) (*.f32 cosTheta (neg.f32 (*.f32 cosTheta #s(literal 1 binary32)))))
(neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 alpha alpha)) (*.f32 cosTheta cosTheta)))
(*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta)
(*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))
(*.f32 (-.f32 #s(literal 1 binary32) (*.f32 alpha alpha)) (neg.f32 cosTheta))
(*.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) cosTheta) (-.f32 alpha #s(literal 1 binary32)))
(*.f32 (*.f32 (-.f32 alpha #s(literal 1 binary32)) cosTheta) (+.f32 alpha #s(literal 1 binary32)))
(*.f32 (*.f32 cosTheta (-.f32 #s(literal 1 binary32) alpha)) (-.f32 (neg.f32 #s(literal 1 binary32)) alpha))
(*.f32 (neg.f32 (neg.f32 cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)))
(*.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 (-.f32 alpha #s(literal 1 binary32)) cosTheta))
(*.f32 (-.f32 alpha #s(literal 1 binary32)) (*.f32 (+.f32 alpha #s(literal 1 binary32)) cosTheta))
(*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (neg.f32 (neg.f32 cosTheta)))
(*.f32 (neg.f32 cosTheta) (-.f32 #s(literal 1 binary32) (*.f32 alpha alpha)))
(*.f32 (*.f32 cosTheta (+.f32 (fabs.f32 alpha) #s(literal 1 binary32))) (-.f32 (fabs.f32 alpha) #s(literal 1 binary32)))
(*.f32 (+.f32 (fabs.f32 alpha) #s(literal 1 binary32)) (*.f32 (-.f32 (fabs.f32 alpha) #s(literal 1 binary32)) cosTheta))
(*.f32 (-.f32 #s(literal 1 binary32) alpha) (*.f32 (-.f32 (neg.f32 #s(literal 1 binary32)) alpha) cosTheta))
(+.f32 (*.f32 (*.f32 cosTheta alpha) alpha) (neg.f32 (*.f32 cosTheta #s(literal 1 binary32))))
(+.f32 (*.f32 (*.f32 cosTheta alpha) alpha) (*.f32 #s(literal -1 binary32) cosTheta))
(+.f32 (*.f32 (*.f32 cosTheta alpha) alpha) (*.f32 cosTheta #s(literal -1 binary32)))
(+.f32 (neg.f32 (*.f32 cosTheta #s(literal 1 binary32))) (*.f32 (*.f32 cosTheta alpha) alpha))
(+.f32 (*.f32 alpha (*.f32 (+.f32 alpha #s(literal 1 binary32)) cosTheta)) (*.f32 (neg.f32 #s(literal 1 binary32)) (*.f32 (+.f32 alpha #s(literal 1 binary32)) cosTheta)))
(+.f32 (*.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) cosTheta) alpha) (*.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) cosTheta) (neg.f32 #s(literal 1 binary32))))
(-.f32 (*.f32 (*.f32 cosTheta alpha) alpha) (*.f32 #s(literal 1 binary32) cosTheta))
(-.f32 (*.f32 (*.f32 cosTheta alpha) alpha) (*.f32 (neg.f32 cosTheta) (neg.f32 #s(literal 1 binary32))))
(-.f32 (*.f32 (*.f32 cosTheta alpha) alpha) (neg.f32 (neg.f32 (*.f32 cosTheta #s(literal 1 binary32)))))
(fma.f32 (*.f32 cosTheta alpha) alpha (*.f32 #s(literal -1 binary32) cosTheta))
(fma.f32 (*.f32 cosTheta alpha) alpha (*.f32 cosTheta #s(literal -1 binary32)))
(fma.f32 (*.f32 alpha alpha) cosTheta (*.f32 #s(literal -1 binary32) cosTheta))
(fma.f32 (*.f32 alpha alpha) cosTheta (*.f32 cosTheta #s(literal -1 binary32)))
(fma.f32 cosTheta (*.f32 alpha alpha) (*.f32 #s(literal -1 binary32) cosTheta))
(fma.f32 cosTheta (*.f32 alpha alpha) (*.f32 cosTheta #s(literal -1 binary32)))
(fma.f32 alpha (*.f32 alpha cosTheta) (*.f32 #s(literal -1 binary32) cosTheta))
(fma.f32 alpha (*.f32 alpha cosTheta) (*.f32 cosTheta #s(literal -1 binary32)))
(fma.f32 (*.f32 cosTheta (fabs.f32 alpha)) (fabs.f32 alpha) (neg.f32 (*.f32 cosTheta #s(literal 1 binary32))))
(fma.f32 (*.f32 cosTheta (fabs.f32 alpha)) (fabs.f32 alpha) (*.f32 #s(literal -1 binary32) cosTheta))
(fma.f32 (*.f32 cosTheta (fabs.f32 alpha)) (fabs.f32 alpha) (*.f32 cosTheta #s(literal -1 binary32)))
(fma.f32 (*.f32 cosTheta (neg.f32 alpha)) (neg.f32 alpha) (neg.f32 (*.f32 cosTheta #s(literal 1 binary32))))
(fma.f32 (*.f32 cosTheta (neg.f32 alpha)) (neg.f32 alpha) (*.f32 #s(literal -1 binary32) cosTheta))
(fma.f32 (*.f32 cosTheta (neg.f32 alpha)) (neg.f32 alpha) (*.f32 cosTheta #s(literal -1 binary32)))
(fma.f32 (fabs.f32 alpha) (*.f32 (fabs.f32 alpha) cosTheta) (neg.f32 (*.f32 cosTheta #s(literal 1 binary32))))
(fma.f32 (fabs.f32 alpha) (*.f32 (fabs.f32 alpha) cosTheta) (*.f32 #s(literal -1 binary32) cosTheta))
(fma.f32 (fabs.f32 alpha) (*.f32 (fabs.f32 alpha) cosTheta) (*.f32 cosTheta #s(literal -1 binary32)))
(fma.f32 (neg.f32 alpha) (*.f32 (neg.f32 alpha) cosTheta) (neg.f32 (*.f32 cosTheta #s(literal 1 binary32))))
(fma.f32 (neg.f32 alpha) (*.f32 (neg.f32 alpha) cosTheta) (*.f32 #s(literal -1 binary32) cosTheta))
(fma.f32 (neg.f32 alpha) (*.f32 (neg.f32 alpha) cosTheta) (*.f32 cosTheta #s(literal -1 binary32)))
(fma.f32 (*.f32 alpha alpha) cosTheta (neg.f32 (*.f32 cosTheta #s(literal 1 binary32))))
(fma.f32 (neg.f32 #s(literal 1 binary32)) cosTheta (*.f32 (*.f32 cosTheta alpha) alpha))
(fma.f32 (*.f32 cosTheta alpha) alpha (neg.f32 (*.f32 cosTheta #s(literal 1 binary32))))
(fma.f32 alpha (*.f32 alpha cosTheta) (neg.f32 (*.f32 cosTheta #s(literal 1 binary32))))
(fma.f32 cosTheta (*.f32 alpha alpha) (neg.f32 (*.f32 cosTheta #s(literal 1 binary32))))
(fma.f32 cosTheta (neg.f32 #s(literal 1 binary32)) (*.f32 (*.f32 cosTheta alpha) alpha))
(fma.f32 (*.f32 cosTheta (neg.f32 (fabs.f32 alpha))) (neg.f32 (fabs.f32 alpha)) (neg.f32 (*.f32 cosTheta #s(literal 1 binary32))))
(fma.f32 (*.f32 cosTheta (neg.f32 (fabs.f32 alpha))) (neg.f32 (fabs.f32 alpha)) (*.f32 #s(literal -1 binary32) cosTheta))
(fma.f32 (*.f32 cosTheta (neg.f32 (fabs.f32 alpha))) (neg.f32 (fabs.f32 alpha)) (*.f32 cosTheta #s(literal -1 binary32)))
(fma.f32 (neg.f32 (fabs.f32 alpha)) (*.f32 (neg.f32 (fabs.f32 alpha)) cosTheta) (neg.f32 (*.f32 cosTheta #s(literal 1 binary32))))
(fma.f32 (neg.f32 (fabs.f32 alpha)) (*.f32 (neg.f32 (fabs.f32 alpha)) cosTheta) (*.f32 #s(literal -1 binary32) cosTheta))
(fma.f32 (neg.f32 (fabs.f32 alpha)) (*.f32 (neg.f32 (fabs.f32 alpha)) cosTheta) (*.f32 cosTheta #s(literal -1 binary32)))
(fma.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) cosTheta) alpha (*.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) cosTheta) (neg.f32 #s(literal 1 binary32))))
(fma.f32 alpha (*.f32 (+.f32 alpha #s(literal 1 binary32)) cosTheta) (*.f32 (neg.f32 #s(literal 1 binary32)) (*.f32 (+.f32 alpha #s(literal 1 binary32)) cosTheta)))
(neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 alpha alpha)) cosTheta))
cosTheta

eval138.0ms (1%)

Memory
-54.3MiB live, 120.6MiB allocated; 28ms collecting garbage
Compiler

Compiled 14 661 to 2 961 computations (79.8% saved)

prune29.0ms (0.2%)

Memory
-9.3MiB live, 44.8MiB allocated; 7ms collecting garbage
Pruning

20 alts after pruning (20 fresh and 0 done)

PrunedKeptTotal
New80720827
Fresh000
Picked101
Done000
Total80820828
Accuracy
99.9%
Counts
828 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.3%
(fma.f32 (/.f32 alpha (*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))) alpha (/.f32 #s(literal -1 binary32) (*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))))
98.6%
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha))))
98.5%
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32))) (log.f32 (*.f32 alpha alpha)))
98.4%
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha)))) (PI.f32))
98.6%
(/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 alpha alpha)) (PI.f32)) (*.f32 (neg.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))) (log.f32 (*.f32 alpha alpha))))
98.6%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha))) (PI.f32)))
98.0%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (*.f32 #s(literal -1 binary32) cosTheta)) cosTheta))))
96.2%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
98.5%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) #s(approx (log (* alpha alpha)) (*.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))))
98.9%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (*.f32 alpha alpha) (fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)))))
98.0%
(/.f32 (*.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (PI.f32)) (-.f32 alpha #s(literal 1 binary32))) (*.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha))))
66.6%
(/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) cosTheta) cosTheta))))
98.3%
(*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))))
98.4%
(*.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32))) (/.f32 #s(literal 1 binary32) (log.f32 (*.f32 alpha alpha))))
98.0%
(*.f32 (/.f32 (-.f32 alpha #s(literal 1 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))) (/.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))))
98.2%
(*.f32 (/.f32 (-.f32 alpha #s(literal 1 binary32)) (*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))) (+.f32 alpha #s(literal 1 binary32)))
98.0%
(*.f32 (/.f32 (-.f32 alpha #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha))) (/.f32 (+.f32 alpha #s(literal 1 binary32)) (fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32))))
98.4%
(*.f32 (/.f32 (neg.f32 #s(literal 1 binary32)) (*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))) (-.f32 #s(literal 1 binary32) (*.f32 alpha alpha)))
98.0%
(*.f32 (-.f32 alpha #s(literal 1 binary32)) (/.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))))
97.9%
(*.f32 (-.f32 alpha #s(literal 1 binary32)) (*.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha))))))
Compiler

Compiled 690 to 612 computations (11.3% saved)

series1.2s (9.3%)

Memory
70.3MiB live, 1 312.8MiB allocated; 145ms collecting garbage
Counts
31 → 165
Calls
Call 1
Inputs
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (*.f32 alpha alpha) (fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)))))
(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))
(*.f32 alpha alpha)
alpha
#s(literal 1 binary32)
(log.f32 (pow.f32 (*.f32 alpha alpha) (fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32))))
(pow.f32 (*.f32 alpha alpha) (fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)))
(fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32))
(*.f32 (PI.f32) (*.f32 cosTheta cosTheta))
(PI.f32)
(*.f32 cosTheta cosTheta)
cosTheta
(fma.f32 alpha alpha #s(literal -1 binary32))
#s(literal -1 binary32)
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)))
(*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))
(log.f32 (*.f32 alpha alpha))
#s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha))) (PI.f32)))
(*.f32 (*.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha))) (PI.f32))
(*.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha)))
(fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))
(/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 alpha alpha)) (PI.f32)) (*.f32 (neg.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))) (log.f32 (*.f32 alpha alpha))))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 alpha alpha)) (PI.f32))
(-.f32 #s(literal 1 binary32) (*.f32 alpha alpha))
(*.f32 (neg.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))) (log.f32 (*.f32 alpha alpha)))
(neg.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))
(*.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32))) (/.f32 #s(literal 1 binary32) (log.f32 (*.f32 alpha alpha))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)))
(/.f32 #s(literal 1 binary32) (log.f32 (*.f32 alpha alpha)))
Outputs
#s(approx (/ (- (* alpha alpha) 1) (log (pow (* alpha alpha) (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI))))) (/.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)))))
#s(approx (/ (- (* alpha alpha) 1) (log (pow (* alpha alpha) (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI))))) (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 (pow.f32 cosTheta #s(literal 2 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))))) (pow.f32 (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))) #s(literal 2 binary32))) (/.f32 (pow.f32 alpha #s(literal 2 binary32)) (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))))) (/.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))))))
#s(approx (/ (- (* alpha alpha) 1) (log (pow (* alpha alpha) (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI))))) (-.f32 (fma.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 (pow.f32 (log.f32 (pow.f32 alpha #s(literal 2 binary32))) #s(literal 2 binary32)) (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 3 binary32)))) (pow.f32 (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))) #s(literal 3 binary32))) (*.f32 #s(literal 1/24 binary32) (/.f32 (*.f32 (fma.f32 #s(literal -12 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 (pow.f32 (log.f32 (pow.f32 alpha #s(literal 2 binary32))) #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 12 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 (pow.f32 (log.f32 (pow.f32 alpha #s(literal 2 binary32))) #s(literal 2 binary32)) (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 2 binary32)))))) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32))) (pow.f32 (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))) #s(literal 2 binary32))))))) (/.f32 (*.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)))) (pow.f32 (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))) #s(literal 2 binary32)))) (/.f32 (pow.f32 alpha #s(literal 2 binary32)) (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))))) (/.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))))))
#s(approx (/ (- (* alpha alpha) 1) (log (pow (* alpha alpha) (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI))))) (-.f32 (fma.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 (PI.f32) (*.f32 (log.f32 (pow.f32 alpha #s(literal 2 binary32))) (*.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 (pow.f32 (log.f32 (pow.f32 alpha #s(literal 2 binary32))) #s(literal 2 binary32)) (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 3 binary32)))) (pow.f32 (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))) #s(literal 3 binary32))) (*.f32 #s(literal 1/24 binary32) (/.f32 (*.f32 (fma.f32 #s(literal -12 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 (pow.f32 (log.f32 (pow.f32 alpha #s(literal 2 binary32))) #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 12 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 (pow.f32 (log.f32 (pow.f32 alpha #s(literal 2 binary32))) #s(literal 2 binary32)) (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 2 binary32)))))) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32))) (pow.f32 (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))) #s(literal 2 binary32))))) (-.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)))) (fma.f32 #s(literal -1/24 binary32) (/.f32 (*.f32 (PI.f32) (*.f32 (log.f32 (pow.f32 alpha #s(literal 2 binary32))) (*.f32 (fma.f32 #s(literal -12 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 (pow.f32 (log.f32 (pow.f32 alpha #s(literal 2 binary32))) #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 12 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 (pow.f32 (log.f32 (pow.f32 alpha #s(literal 2 binary32))) #s(literal 2 binary32)) (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 2 binary32)))))) (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 2 binary32))))) (pow.f32 (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))) #s(literal 3 binary32))) (*.f32 #s(literal 1/720 binary32) (/.f32 (*.f32 (fma.f32 #s(literal -360 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (*.f32 (pow.f32 (log.f32 (pow.f32 alpha #s(literal 2 binary32))) #s(literal 3 binary32)) (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 3 binary32)))) (fma.f32 #s(literal 120 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (*.f32 (pow.f32 (log.f32 (pow.f32 alpha #s(literal 2 binary32))) #s(literal 3 binary32)) (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 3 binary32)))) (*.f32 #s(literal 240 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (*.f32 (pow.f32 (log.f32 (pow.f32 alpha #s(literal 2 binary32))) #s(literal 3 binary32)) (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 3 binary32))))))) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32))) (pow.f32 (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))) #s(literal 2 binary32)))))))) (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 (pow.f32 (log.f32 (pow.f32 alpha #s(literal 2 binary32))) #s(literal 2 binary32)) (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 3 binary32)))) (pow.f32 (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))) #s(literal 3 binary32))) (*.f32 #s(literal 1/24 binary32) (/.f32 (*.f32 (fma.f32 #s(literal -12 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 (pow.f32 (log.f32 (pow.f32 alpha #s(literal 2 binary32))) #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 12 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 (pow.f32 (log.f32 (pow.f32 alpha #s(literal 2 binary32))) #s(literal 2 binary32)) (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 2 binary32)))))) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32))) (pow.f32 (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))) #s(literal 2 binary32))))))) (/.f32 (*.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)))) (pow.f32 (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))) #s(literal 2 binary32)))) (/.f32 (pow.f32 alpha #s(literal 2 binary32)) (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))))) (/.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))))))
#s(approx (log (pow (* alpha alpha) (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI)))) (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))))
#s(approx (log (pow (* alpha alpha) (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI)))) (+.f32 (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))) (*.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)))))))
#s(approx (log (pow (* alpha alpha) (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI)))) (+.f32 (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (fma.f32 #s(literal 1/24 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (fma.f32 #s(literal -12 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 (pow.f32 (log.f32 (pow.f32 alpha #s(literal 2 binary32))) #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 12 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 (pow.f32 (log.f32 (pow.f32 alpha #s(literal 2 binary32))) #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 (log.f32 (pow.f32 alpha #s(literal 2 binary32))) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32))))))))
#s(approx (log (pow (* alpha alpha) (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI)))) (+.f32 (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (fma.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 (pow.f32 cosTheta #s(literal 2 binary32)) (fma.f32 #s(literal 1/720 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (fma.f32 #s(literal -360 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (*.f32 (pow.f32 (log.f32 (pow.f32 alpha #s(literal 2 binary32))) #s(literal 3 binary32)) (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 3 binary32)))) (fma.f32 #s(literal 120 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (*.f32 (pow.f32 (log.f32 (pow.f32 alpha #s(literal 2 binary32))) #s(literal 3 binary32)) (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 3 binary32)))) (*.f32 #s(literal 240 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (*.f32 (pow.f32 (log.f32 (pow.f32 alpha #s(literal 2 binary32))) #s(literal 3 binary32)) (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 3 binary32)))))))) (*.f32 #s(literal 1/24 binary32) (fma.f32 #s(literal -12 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 (pow.f32 (log.f32 (pow.f32 alpha #s(literal 2 binary32))) #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 12 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 (pow.f32 (log.f32 (pow.f32 alpha #s(literal 2 binary32))) #s(literal 2 binary32)) (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 2 binary32)))))))))))))
#s(approx (pow (* alpha alpha) (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI))) (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32)))
#s(approx (pow (* alpha alpha) (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI))) (fma.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 (pow.f32 alpha #s(literal 2 binary32))) (*.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))))) (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))))
#s(approx (pow (* alpha alpha) (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI))) (fma.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (fma.f32 #s(literal 1/2 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 (pow.f32 (log.f32 (pow.f32 alpha #s(literal 2 binary32))) #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 2 binary32)) (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32)))))) (*.f32 (PI.f32) (*.f32 (log.f32 (pow.f32 alpha #s(literal 2 binary32))) (*.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32)))))) (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))))
#s(approx (pow (* alpha alpha) (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI))) (fma.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (fma.f32 (PI.f32) (*.f32 (log.f32 (pow.f32 alpha #s(literal 2 binary32))) (*.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32)))) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (fma.f32 #s(literal 1/6 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (*.f32 (pow.f32 (log.f32 (pow.f32 alpha #s(literal 2 binary32))) #s(literal 3 binary32)) (*.f32 (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 3 binary32)) (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32)))))) (*.f32 #s(literal 1/2 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 (pow.f32 (log.f32 (pow.f32 alpha #s(literal 2 binary32))) #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 2 binary32)) (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))))))))) (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))))
#s(approx (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI)) (PI.f32))
#s(approx (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI)) (+.f32 (PI.f32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32))))))
#s(approx (* (PI) (* cosTheta cosTheta)) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (PI.f32)))
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#s(approx (log (* alpha alpha)) (*.f32 #s(literal -2 binary32) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))
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#s(approx (* (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (log (* alpha alpha))) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (fma.f32 #s(literal -2 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))) (*.f32 #s(literal -2 binary32) (/.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)))))))
#s(approx (/ (/ (- 1 (* alpha alpha)) (PI)) (* (neg (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (log (* alpha alpha)))) (-.f32 (fma.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 (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 #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))))))))
#s(approx (/ (/ (- 1 (* alpha alpha)) (PI)) (* (neg (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (log (* alpha alpha)))) (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (fma.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 #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 (pow.f32 alpha #s(literal 4 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)))) (fma.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 (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 #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))))))))
#s(approx (/ (/ (- 1 (* alpha alpha)) (PI)) (* (neg (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (log (* alpha alpha)))) (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (fma.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 #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 (pow.f32 alpha #s(literal 4 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)))) (fma.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 (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)) (fma.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 #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 (pow.f32 alpha #s(literal 6 binary32)) (pow.f32 cosTheta #s(literal 4 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))))))))
#s(approx (* (neg (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (log (* alpha alpha))) (*.f32 #s(literal 2 binary32) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))))
#s(approx (* (neg (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (log (* alpha alpha))) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (fma.f32 #s(literal 2 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))) (*.f32 #s(literal 2 binary32) (/.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)))))))
#s(approx (* (/ (+ (* alpha alpha) -1) (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI))) (/ 1 (log (* alpha 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)))))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 (PI.f32) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (PI.f32)))) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 2 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) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))))))
#s(approx (* (/ (+ (* alpha alpha) -1) (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI))) (/ 1 (log (* alpha alpha)))) (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 (+.f32 (PI.f32) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (PI.f32)))) (-.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 (PI.f32) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (PI.f32)))) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))))) (*.f32 (pow.f32 alpha #s(literal 4 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (PI.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))))))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 (PI.f32) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (PI.f32)))) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 2 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) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))))))
#s(approx (* (/ (+ (* alpha alpha) -1) (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI))) (/ 1 (log (* alpha 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 (PI.f32) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (PI.f32)))) #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 (PI.f32) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (PI.f32)))) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))))) (*.f32 (pow.f32 alpha #s(literal 6 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 (PI.f32) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (PI.f32)))) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))) (fma.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 (PI.f32) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (PI.f32)))) (-.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 (PI.f32) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (PI.f32)))) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))))) (*.f32 (pow.f32 alpha #s(literal 4 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (PI.f32))))))))
#s(approx (/ 1 (log (* alpha alpha))) (/.f32 #s(literal -1/2 binary32) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))
Calls

6 calls:

TimeVariablePointExpression
67.0ms
alpha
@inf
((/ (- (* alpha alpha) 1) (log (pow (* alpha alpha) (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI))))) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (log (pow (* alpha alpha) (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI)))) (pow (* alpha alpha) (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI))) (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI)) (* (PI) (* cosTheta cosTheta)) (PI) (* cosTheta cosTheta) cosTheta (+ (* alpha alpha) -1) -1 (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (PI) (log (* alpha alpha))) (log (* alpha alpha)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (/ (- (* alpha alpha) 1) (* (* (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (log (* alpha alpha))) (PI))) (* (* (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (log (* alpha alpha))) (PI)) (* (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (log (* alpha alpha))) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (/ (/ (- 1 (* alpha alpha)) (PI)) (* (neg (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (log (* alpha alpha)))) (/ (- 1 (* alpha alpha)) (PI)) (- 1 (* alpha alpha)) (* (neg (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (log (* alpha alpha))) (neg (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (* (/ (+ (* alpha alpha) -1) (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI))) (/ 1 (log (* alpha alpha)))) (/ (+ (* alpha alpha) -1) (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI))) (/ 1 (log (* alpha alpha))))
28.0ms
cosTheta
@inf
((/ (- (* alpha alpha) 1) (log (pow (* alpha alpha) (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI))))) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (log (pow (* alpha alpha) (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI)))) (pow (* alpha alpha) (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI))) (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI)) (* (PI) (* cosTheta cosTheta)) (PI) (* cosTheta cosTheta) cosTheta (+ (* alpha alpha) -1) -1 (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (PI) (log (* alpha alpha))) (log (* alpha alpha)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (/ (- (* alpha alpha) 1) (* (* (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (log (* alpha alpha))) (PI))) (* (* (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (log (* alpha alpha))) (PI)) (* (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (log (* alpha alpha))) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (/ (/ (- 1 (* alpha alpha)) (PI)) (* (neg (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (log (* alpha alpha)))) (/ (- 1 (* alpha alpha)) (PI)) (- 1 (* alpha alpha)) (* (neg (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (log (* alpha alpha))) (neg (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (* (/ (+ (* alpha alpha) -1) (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI))) (/ 1 (log (* alpha alpha)))) (/ (+ (* alpha alpha) -1) (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI))) (/ 1 (log (* alpha alpha))))
19.0ms
alpha
@0
((/ (- (* alpha alpha) 1) (log (pow (* alpha alpha) (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI))))) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (log (pow (* alpha alpha) (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI)))) (pow (* alpha alpha) (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI))) (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI)) (* (PI) (* cosTheta cosTheta)) (PI) (* cosTheta cosTheta) cosTheta (+ (* alpha alpha) -1) -1 (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (PI) (log (* alpha alpha))) (log (* alpha alpha)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (/ (- (* alpha alpha) 1) (* (* (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (log (* alpha alpha))) (PI))) (* (* (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (log (* alpha alpha))) (PI)) (* (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (log (* alpha alpha))) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (/ (/ (- 1 (* alpha alpha)) (PI)) (* (neg (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (log (* alpha alpha)))) (/ (- 1 (* alpha alpha)) (PI)) (- 1 (* alpha alpha)) (* (neg (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (log (* alpha alpha))) (neg (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (* (/ (+ (* alpha alpha) -1) (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI))) (/ 1 (log (* alpha alpha)))) (/ (+ (* alpha alpha) -1) (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI))) (/ 1 (log (* alpha alpha))))
18.0ms
alpha
@-inf
((/ (- (* alpha alpha) 1) (log (pow (* alpha alpha) (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI))))) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (log (pow (* alpha alpha) (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI)))) (pow (* alpha alpha) (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI))) (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI)) (* (PI) (* cosTheta cosTheta)) (PI) (* cosTheta cosTheta) cosTheta (+ (* alpha alpha) -1) -1 (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (PI) (log (* alpha alpha))) (log (* alpha alpha)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (/ (- (* alpha alpha) 1) (* (* (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (log (* alpha alpha))) (PI))) (* (* (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (log (* alpha alpha))) (PI)) (* (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (log (* alpha alpha))) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (/ (/ (- 1 (* alpha alpha)) (PI)) (* (neg (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (log (* alpha alpha)))) (/ (- 1 (* alpha alpha)) (PI)) (- 1 (* alpha alpha)) (* (neg (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (log (* alpha alpha))) (neg (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (* (/ (+ (* alpha alpha) -1) (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI))) (/ 1 (log (* alpha alpha)))) (/ (+ (* alpha alpha) -1) (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI))) (/ 1 (log (* alpha alpha))))
11.0ms
cosTheta
@-inf
((/ (- (* alpha alpha) 1) (log (pow (* alpha alpha) (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI))))) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (log (pow (* alpha alpha) (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI)))) (pow (* alpha alpha) (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI))) (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI)) (* (PI) (* cosTheta cosTheta)) (PI) (* cosTheta cosTheta) cosTheta (+ (* alpha alpha) -1) -1 (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (PI) (log (* alpha alpha))) (log (* alpha alpha)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (/ (- (* alpha alpha) 1) (* (* (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (log (* alpha alpha))) (PI))) (* (* (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (log (* alpha alpha))) (PI)) (* (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (log (* alpha alpha))) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (/ (/ (- 1 (* alpha alpha)) (PI)) (* (neg (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (log (* alpha alpha)))) (/ (- 1 (* alpha alpha)) (PI)) (- 1 (* alpha alpha)) (* (neg (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (log (* alpha alpha))) (neg (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (* (/ (+ (* alpha alpha) -1) (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI))) (/ 1 (log (* alpha alpha)))) (/ (+ (* alpha alpha) -1) (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI))) (/ 1 (log (* alpha alpha))))

rewrite2.8s (20.6%)

Memory
154.2MiB live, 2 215.3MiB allocated; 535ms collecting garbage
Counts
31 → 5 671
Calls
Call 1
Inputs
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (*.f32 alpha alpha) (fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)))))
(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))
(*.f32 alpha alpha)
alpha
#s(literal 1 binary32)
(log.f32 (pow.f32 (*.f32 alpha alpha) (fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32))))
(pow.f32 (*.f32 alpha alpha) (fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)))
(fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32))
(*.f32 (PI.f32) (*.f32 cosTheta cosTheta))
(PI.f32)
(*.f32 cosTheta cosTheta)
cosTheta
(fma.f32 alpha alpha #s(literal -1 binary32))
#s(literal -1 binary32)
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)))
(*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))
(log.f32 (*.f32 alpha alpha))
#s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha))) (PI.f32)))
(*.f32 (*.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha))) (PI.f32))
(*.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha)))
(fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))
(/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 alpha alpha)) (PI.f32)) (*.f32 (neg.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))) (log.f32 (*.f32 alpha alpha))))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 alpha alpha)) (PI.f32))
(-.f32 #s(literal 1 binary32) (*.f32 alpha alpha))
(*.f32 (neg.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))) (log.f32 (*.f32 alpha alpha)))
(neg.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))
(*.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32))) (/.f32 #s(literal 1 binary32) (log.f32 (*.f32 alpha alpha))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)))
(/.f32 #s(literal 1 binary32) (log.f32 (*.f32 alpha alpha)))
Outputs
(*.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32))) (/.f32 #s(literal 1 binary32) (log.f32 (*.f32 alpha alpha))))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 alpha alpha)) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (*.f32 (log.f32 (*.f32 alpha alpha)) (neg.f32 (PI.f32)))))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 alpha alpha)) (log.f32 (*.f32 alpha alpha))) (/.f32 #s(literal -1 binary32) (fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32))))
(*.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))))
(*.f32 (/.f32 (-.f32 alpha #s(literal 1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) (/.f32 (+.f32 alpha #s(literal 1 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))))
(*.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))))
(*.f32 (/.f32 #s(literal -1 binary32) (fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 alpha alpha)) (log.f32 (*.f32 alpha alpha))))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 alpha alpha)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) (/.f32 (neg.f32 #s(literal 1 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 alpha alpha)) (fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32))) (/.f32 (neg.f32 #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha))))
(*.f32 (/.f32 #s(literal 1 binary32) (log.f32 (*.f32 alpha alpha))) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32))))
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))))
(*.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))))
(*.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha))) (/.f32 (/.f32 (-.f32 alpha #s(literal 1 binary32)) (PI.f32)) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))))
(*.f32 (/.f32 (-.f32 alpha #s(literal 1 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))) (/.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (*.f32 alpha alpha))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))))
(*.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (*.f32 alpha alpha))) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))))
(*.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))))
(*.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))) #s(literal 1 binary32))
(*.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha)))) (/.f32 #s(literal 1 binary32) (PI.f32)))
(*.f32 (/.f32 #s(literal -1 binary32) (*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))) (-.f32 #s(literal 1 binary32) (*.f32 alpha alpha)))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 alpha alpha)) (*.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha)))) (neg.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))
(*.f32 (/.f32 (neg.f32 #s(literal 1 binary32)) (*.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha)))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 alpha alpha)) (PI.f32)))
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (log.f32 (*.f32 alpha alpha))) (+.f32 alpha #s(literal 1 binary32))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))) (fma.f32 alpha alpha #s(literal -1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32))) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (*.f32 alpha alpha))))
(*.f32 (/.f32 (-.f32 alpha #s(literal 1 binary32)) (*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))) (+.f32 alpha #s(literal 1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha)))) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)))
(*.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha)))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (PI.f32)))
(*.f32 (/.f32 (-.f32 alpha #s(literal 1 binary32)) (*.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha)))) (/.f32 (+.f32 alpha #s(literal 1 binary32)) (PI.f32)))
(*.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (neg.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))) (/.f32 (-.f32 #s(literal 1 binary32) alpha) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))))
(*.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (neg.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) alpha) (PI.f32)) (log.f32 (*.f32 alpha alpha))))
(*.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (neg.f32 (log.f32 (*.f32 alpha alpha)))) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) alpha) (PI.f32)) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))))
(*.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (neg.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)))) (/.f32 (-.f32 #s(literal 1 binary32) alpha) (log.f32 (*.f32 alpha alpha))))
(*.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha))))
(*.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 (log.f32 (*.f32 alpha alpha)) (neg.f32 (PI.f32)))) (/.f32 (-.f32 #s(literal 1 binary32) alpha) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))))
(*.f32 (/.f32 (-.f32 alpha #s(literal 1 binary32)) (fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32))) (/.f32 (+.f32 alpha #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha))))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) alpha) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) (/.f32 (-.f32 (neg.f32 #s(literal 1 binary32)) alpha) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) alpha) (*.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha)))) (/.f32 (-.f32 (neg.f32 #s(literal 1 binary32)) alpha) (PI.f32)))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) alpha) (fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32))) (/.f32 (-.f32 (neg.f32 #s(literal 1 binary32)) alpha) (log.f32 (*.f32 alpha alpha))))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (neg.f32 (log.f32 (*.f32 alpha alpha)))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 alpha alpha)) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))))
(*.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (neg.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (*.f32 (log.f32 (*.f32 alpha alpha)) (neg.f32 (PI.f32)))))
(*.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (neg.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (neg.f32 (log.f32 (*.f32 alpha alpha)))))
(*.f32 (/.f32 (+.f32 (fabs.f32 alpha) #s(literal 1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) (/.f32 (-.f32 (fabs.f32 alpha) #s(literal 1 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))))
(*.f32 (/.f32 (+.f32 (fabs.f32 alpha) #s(literal 1 binary32)) (*.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha)))) (/.f32 (-.f32 (fabs.f32 alpha) #s(literal 1 binary32)) (PI.f32)))
(*.f32 (/.f32 (+.f32 (fabs.f32 alpha) #s(literal 1 binary32)) (fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32))) (/.f32 (-.f32 (fabs.f32 alpha) #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha))))
(*.f32 (/.f32 (-.f32 (neg.f32 #s(literal 1 binary32)) alpha) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (neg.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))))
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(fma.f32 (/.f32 alpha (fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32))) alpha (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32))) (neg.f32 #s(literal 1 binary32))))
(fma.f32 (/.f32 (fabs.f32 alpha) (fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32))) (fabs.f32 alpha) (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32))) (neg.f32 #s(literal 1 binary32))))
(fma.f32 (/.f32 #s(literal -1 binary32) (fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32))) #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 alpha alpha) (fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32))) #s(literal 1 binary32)))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32))) (*.f32 #s(literal 1 binary32) (/.f32 (*.f32 alpha alpha) (fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)))))
(fma.f32 (neg.f32 #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) (fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32))) (*.f32 #s(literal 1 binary32) (/.f32 (*.f32 alpha alpha) (fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)))))
(fma.f32 (neg.f32 #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32))) (*.f32 #s(literal 1 binary32) (/.f32 (*.f32 alpha alpha) (fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)))))
(fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32))) (*.f32 #s(literal 1 binary32) (/.f32 (*.f32 alpha alpha) (fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)))))
(fma.f32 (*.f32 #s(literal -1 binary32) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32))) (*.f32 #s(literal 1 binary32) (/.f32 (*.f32 alpha alpha) (fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32))) #s(literal -1 binary32) (*.f32 #s(literal 1 binary32) (/.f32 (*.f32 alpha alpha) (fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (neg.f32 #s(literal 1 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))) (*.f32 #s(literal 1 binary32) (/.f32 (*.f32 alpha alpha) (fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)))))
(neg.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 alpha alpha)) (fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32))))
(*.f32 (/.f32 #s(literal 1 binary32) (log.f32 (*.f32 alpha alpha))) #s(literal 1 binary32))
(*.f32 (/.f32 (neg.f32 #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha))) (neg.f32 #s(literal 1 binary32)))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (log.f32 (*.f32 alpha alpha))))
(*.f32 (neg.f32 #s(literal 1 binary32)) (/.f32 (neg.f32 #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha))))
(*.f32 (neg.f32 #s(literal 1 binary32)) (*.f32 (/.f32 (neg.f32 #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha))) #s(literal 1 binary32)))
(+.f32 (/.f32 #s(literal 1 binary32) (log.f32 (*.f32 alpha alpha))) (/.f32 #s(literal 0 binary32) (log.f32 (*.f32 alpha alpha))))
(+.f32 (/.f32 #s(literal 1 binary32) (log.f32 (*.f32 alpha alpha))) (*.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) (log.f32 (*.f32 alpha alpha)))))
(+.f32 (/.f32 #s(literal 1 binary32) (log.f32 (*.f32 alpha alpha))) (*.f32 (/.f32 #s(literal 1 binary32) (log.f32 (*.f32 alpha alpha))) #s(literal 0 binary32)))
(/.f32 #s(literal 1 binary32) (log.f32 (*.f32 alpha alpha)))
(/.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (log.f32 (*.f32 alpha alpha))))
(/.f32 (*.f32 #s(literal 1 binary32) #s(literal 2 binary32)) (*.f32 (log.f32 (*.f32 alpha alpha)) #s(literal 2 binary32)))
(/.f32 (neg.f32 #s(literal 1 binary32)) (neg.f32 (log.f32 (*.f32 alpha alpha))))
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (log.f32 (*.f32 alpha alpha))) #s(literal 2 binary32)) #s(literal 2 binary32))
(/.f32 (*.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (log.f32 (*.f32 alpha alpha)))) #s(literal 2 binary32))
(/.f32 (*.f32 #s(literal 2 binary32) (neg.f32 #s(literal 1 binary32))) (*.f32 #s(literal 2 binary32) (neg.f32 (log.f32 (*.f32 alpha alpha)))))
(/.f32 (*.f32 (neg.f32 #s(literal 1 binary32)) #s(literal 2 binary32)) (*.f32 (neg.f32 (log.f32 (*.f32 alpha alpha))) #s(literal 2 binary32)))
(fma.f32 (/.f32 #s(literal 1 binary32) (log.f32 (*.f32 alpha alpha))) #s(literal 1 binary32) (/.f32 #s(literal 0 binary32) (log.f32 (*.f32 alpha alpha))))
(fma.f32 (/.f32 (neg.f32 #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha))) (neg.f32 #s(literal 1 binary32)) (/.f32 #s(literal 0 binary32) (log.f32 (*.f32 alpha alpha))))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (log.f32 (*.f32 alpha alpha))) (/.f32 #s(literal 0 binary32) (log.f32 (*.f32 alpha alpha))))
(fma.f32 (neg.f32 #s(literal 1 binary32)) (/.f32 (neg.f32 #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha))) (/.f32 #s(literal 0 binary32) (log.f32 (*.f32 alpha alpha))))
(fma.f32 (neg.f32 #s(literal 1 binary32)) (*.f32 (/.f32 (neg.f32 #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha))) #s(literal 1 binary32)) (/.f32 #s(literal 0 binary32) (log.f32 (*.f32 alpha alpha))))
(fma.f32 (neg.f32 #s(literal 1 binary32)) (*.f32 (/.f32 (neg.f32 #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha))) #s(literal 1 binary32)) (*.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) (log.f32 (*.f32 alpha alpha)))))
(fma.f32 (neg.f32 #s(literal 1 binary32)) (*.f32 (/.f32 (neg.f32 #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha))) #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (log.f32 (*.f32 alpha alpha))) #s(literal 0 binary32)))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (log.f32 (*.f32 alpha alpha))) (*.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) (log.f32 (*.f32 alpha alpha)))))
(fma.f32 (neg.f32 #s(literal 1 binary32)) (/.f32 (neg.f32 #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha))) (*.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) (log.f32 (*.f32 alpha alpha)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (log.f32 (*.f32 alpha alpha))) #s(literal 1 binary32) (*.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) (log.f32 (*.f32 alpha alpha)))))
(fma.f32 (/.f32 (neg.f32 #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha))) (neg.f32 #s(literal 1 binary32)) (*.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) (log.f32 (*.f32 alpha alpha)))))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (log.f32 (*.f32 alpha alpha))) (*.f32 (/.f32 #s(literal 1 binary32) (log.f32 (*.f32 alpha alpha))) #s(literal 0 binary32)))
(fma.f32 (neg.f32 #s(literal 1 binary32)) (/.f32 (neg.f32 #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha))) (*.f32 (/.f32 #s(literal 1 binary32) (log.f32 (*.f32 alpha alpha))) #s(literal 0 binary32)))
(fma.f32 (/.f32 #s(literal 1 binary32) (log.f32 (*.f32 alpha alpha))) #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (log.f32 (*.f32 alpha alpha))) #s(literal 0 binary32)))
(fma.f32 (/.f32 (neg.f32 #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha))) (neg.f32 #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (log.f32 (*.f32 alpha alpha))) #s(literal 0 binary32)))
(neg.f32 (/.f32 (neg.f32 #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha))))
(neg.f32 (*.f32 (/.f32 (neg.f32 #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha))) #s(literal 1 binary32)))
(pow.f32 (log.f32 (*.f32 alpha alpha)) #s(literal -1 binary32))

eval624.0ms (4.6%)

Memory
51.0MiB live, 641.7MiB allocated; 320ms collecting garbage
Compiler

Compiled 66 163 to 12 898 computations (80.5% saved)

prune161.0ms (1.2%)

Memory
4.6MiB live, 193.4MiB allocated; 35ms collecting garbage
Pruning

31 alts after pruning (29 fresh and 2 done)

PrunedKeptTotal
New4 501204 521
Fresh6915
Picked325
Done000
Total4 510314 541
Accuracy
100.0%
Counts
4 541 → 31
Alt Table
Click to see full alt table
StatusAccuracyProgram
96.1%
(/.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha (-.f32 alpha #s(literal 1 binary32))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
98.6%
(/.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha (-.f32 alpha #s(literal 1 binary32))) (log.f32 (pow.f32 (*.f32 alpha alpha) (fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)))))
95.9%
(/.f32 (fma.f32 (+.f32 alpha #s(literal 1 binary32)) alpha (*.f32 (+.f32 alpha #s(literal 1 binary32)) (neg.f32 #s(literal 1 binary32)))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
98.6%
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha))))
98.5%
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha))) (PI.f32)))
96.2%
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (- (* alpha (* cosTheta alpha)) cosTheta) cosTheta)) #s(literal 1 binary32))))
98.5%
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32))) (log.f32 (*.f32 alpha alpha)))
98.4%
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha)))) (PI.f32))
96.2%
(/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 alpha alpha)) (PI.f32)) (*.f32 #s(approx (neg (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) #s(literal -1 binary32)) (log.f32 (*.f32 alpha alpha))))
98.3%
(/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (*.f32 alpha alpha) (PI.f32))) (*.f32 (neg.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))) (log.f32 (*.f32 alpha alpha))))
98.3%
(/.f32 (-.f32 (*.f32 (/.f32 (*.f32 alpha alpha) (*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))) (PI.f32)) (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha))))) (PI.f32))
98.6%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha))) (PI.f32)))
98.0%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (*.f32 #s(literal -1 binary32) cosTheta)) cosTheta))))
96.2%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
96.2%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) #s(approx (log (* alpha alpha)) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
96.0%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) #s(approx (log (* alpha alpha)) (*.f32 #s(literal -2 binary32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
96.6%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (*.f32 alpha alpha) #s(approx (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI)) (PI.f32)))))
98.1%
(/.f32 (-.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) alpha) alpha)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (neg.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))) (log.f32 (*.f32 alpha alpha)))))
96.1%
(/.f32 (+.f32 (-.f32 alpha #s(literal 1 binary32)) (*.f32 (-.f32 alpha #s(literal 1 binary32)) alpha)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
95.7%
(/.f32 (+.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) alpha) (*.f32 (+.f32 alpha #s(literal 1 binary32)) (neg.f32 #s(literal 1 binary32)))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
98.0%
(/.f32 (*.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (PI.f32)) (-.f32 alpha #s(literal 1 binary32))) (*.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha))))
96.0%
(/.f32 (*.f32 (-.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal 1 binary32))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
66.6%
(/.f32 #s(approx (/ (- 1 (* alpha alpha)) (PI)) (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 (neg.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))) (log.f32 (*.f32 alpha alpha))))
66.6%
(/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) cosTheta) cosTheta))))
98.4%
(*.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32))) #s(approx (/ 1 (log (* alpha alpha))) (/.f32 #s(literal 1/2 binary32) (log.f32 alpha))))
98.2%
(*.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32))) #s(approx (/ 1 (log (* alpha alpha))) (/.f32 #s(literal -1/2 binary32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))
96.0%
(*.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(approx (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI)) (PI.f32))) (/.f32 #s(literal 1 binary32) (log.f32 (*.f32 alpha alpha))))
98.0%
(*.f32 (/.f32 (-.f32 alpha #s(literal 1 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))) (/.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))))
98.2%
(*.f32 (/.f32 (-.f32 alpha #s(literal 1 binary32)) (*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))) (+.f32 alpha #s(literal 1 binary32)))
98.0%
(*.f32 (/.f32 (-.f32 alpha #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha))) (/.f32 (+.f32 alpha #s(literal 1 binary32)) (fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32))))
98.0%
(*.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 (/.f32 (-.f32 alpha #s(literal 1 binary32)) (fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32))) (/.f32 #s(literal 1 binary32) (log.f32 (*.f32 alpha alpha)))))
Compiler

Compiled 1 137 to 1 049 computations (7.7% saved)

series1.6s (12.2%)

Memory
13.3MiB live, 888.5MiB allocated; 1.8s collecting garbage
Counts
30 → 155
Calls
Call 1
Inputs
(/.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha (-.f32 alpha #s(literal 1 binary32))) (log.f32 (pow.f32 (*.f32 alpha alpha) (fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)))))
(fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha (-.f32 alpha #s(literal 1 binary32)))
(-.f32 alpha #s(literal 1 binary32))
alpha
#s(literal 1 binary32)
(log.f32 (pow.f32 (*.f32 alpha alpha) (fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32))))
(pow.f32 (*.f32 alpha alpha) (fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)))
(*.f32 alpha alpha)
(fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32))
(*.f32 (PI.f32) (*.f32 cosTheta cosTheta))
(PI.f32)
(*.f32 cosTheta cosTheta)
cosTheta
(fma.f32 alpha alpha #s(literal -1 binary32))
#s(literal -1 binary32)
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (- (* alpha (* cosTheta alpha)) cosTheta) cosTheta)) #s(literal 1 binary32))))
(*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (- (* alpha (* cosTheta alpha)) cosTheta) cosTheta)) #s(literal 1 binary32)))
(*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))
(log.f32 (*.f32 alpha alpha))
#s(approx (+ 1 (* (- (* alpha (* cosTheta alpha)) cosTheta) cosTheta)) #s(literal 1 binary32))
(/.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha (-.f32 alpha #s(literal 1 binary32))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)))
#s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha))))
(*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))
(*.f32 (/.f32 (-.f32 alpha #s(literal 1 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))) (/.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))))
(/.f32 (-.f32 alpha #s(literal 1 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))
(fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))
(/.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(+.f32 alpha #s(literal 1 binary32))
Outputs
#s(approx (/ (+ (* (- alpha 1) alpha) (- alpha 1)) (log (pow (* alpha alpha) (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI))))) (/.f32 (-.f32 (+.f32 alpha (*.f32 alpha (-.f32 alpha #s(literal 1 binary32)))) #s(literal 1 binary32)) (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32)))))
#s(approx (/ (+ (* (- alpha 1) alpha) (- alpha 1)) (log (pow (* alpha alpha) (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI))))) (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 (pow.f32 alpha #s(literal 2 binary32))) (*.f32 (-.f32 (+.f32 alpha (*.f32 alpha (-.f32 alpha #s(literal 1 binary32)))) #s(literal 1 binary32)) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)))))) (pow.f32 (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))) #s(literal 2 binary32))) (+.f32 (/.f32 alpha (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32)))) (/.f32 (*.f32 alpha (-.f32 alpha #s(literal 1 binary32))) (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32)))))) (/.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))))))
#s(approx (/ (+ (* (- alpha 1) alpha) (- alpha 1)) (log (pow (* alpha alpha) (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI))))) (-.f32 (fma.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 (pow.f32 (log.f32 (pow.f32 alpha #s(literal 2 binary32))) #s(literal 2 binary32)) (*.f32 (-.f32 (+.f32 alpha (*.f32 alpha (-.f32 alpha #s(literal 1 binary32)))) #s(literal 1 binary32)) (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 2 binary32))))) (pow.f32 (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))) #s(literal 3 binary32))) (*.f32 #s(literal 1/24 binary32) (/.f32 (*.f32 (fma.f32 #s(literal -12 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 (pow.f32 (log.f32 (pow.f32 alpha #s(literal 2 binary32))) #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 12 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 (pow.f32 (log.f32 (pow.f32 alpha #s(literal 2 binary32))) #s(literal 2 binary32)) (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 2 binary32)))))) (-.f32 (+.f32 alpha (*.f32 alpha (-.f32 alpha #s(literal 1 binary32)))) #s(literal 1 binary32))) (pow.f32 (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))) #s(literal 2 binary32))))))) (/.f32 (*.f32 (PI.f32) (*.f32 (log.f32 (pow.f32 alpha #s(literal 2 binary32))) (*.f32 (-.f32 (+.f32 alpha (*.f32 alpha (-.f32 alpha #s(literal 1 binary32)))) #s(literal 1 binary32)) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32))))) (pow.f32 (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))) #s(literal 2 binary32)))) (+.f32 (/.f32 alpha (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32)))) (/.f32 (*.f32 alpha (-.f32 alpha #s(literal 1 binary32))) (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32)))))) (/.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))))))
#s(approx (/ (+ (* (- alpha 1) alpha) (- alpha 1)) (log (pow (* alpha alpha) (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI))))) (-.f32 (fma.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 (PI.f32) (*.f32 (log.f32 (pow.f32 alpha #s(literal 2 binary32))) (*.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 (pow.f32 (log.f32 (pow.f32 alpha #s(literal 2 binary32))) #s(literal 2 binary32)) (*.f32 (-.f32 (+.f32 alpha (*.f32 alpha (-.f32 alpha #s(literal 1 binary32)))) #s(literal 1 binary32)) (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 2 binary32))))) (pow.f32 (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))) #s(literal 3 binary32))) (*.f32 #s(literal 1/24 binary32) (/.f32 (*.f32 (fma.f32 #s(literal -12 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 (pow.f32 (log.f32 (pow.f32 alpha #s(literal 2 binary32))) #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 12 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 (pow.f32 (log.f32 (pow.f32 alpha #s(literal 2 binary32))) #s(literal 2 binary32)) (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 2 binary32)))))) (-.f32 (+.f32 alpha (*.f32 alpha (-.f32 alpha #s(literal 1 binary32)))) #s(literal 1 binary32))) (pow.f32 (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))) #s(literal 2 binary32))))) (-.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)))) (fma.f32 #s(literal -1/24 binary32) (/.f32 (*.f32 (PI.f32) (*.f32 (log.f32 (pow.f32 alpha #s(literal 2 binary32))) (*.f32 (fma.f32 #s(literal -12 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 (pow.f32 (log.f32 (pow.f32 alpha #s(literal 2 binary32))) #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 12 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 (pow.f32 (log.f32 (pow.f32 alpha #s(literal 2 binary32))) #s(literal 2 binary32)) (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 2 binary32)))))) (*.f32 (-.f32 (+.f32 alpha (*.f32 alpha (-.f32 alpha #s(literal 1 binary32)))) #s(literal 1 binary32)) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)))))) (pow.f32 (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))) #s(literal 3 binary32))) (*.f32 #s(literal 1/720 binary32) (/.f32 (*.f32 (fma.f32 #s(literal -360 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (*.f32 (pow.f32 (log.f32 (pow.f32 alpha #s(literal 2 binary32))) #s(literal 3 binary32)) (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 3 binary32)))) (fma.f32 #s(literal 120 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (*.f32 (pow.f32 (log.f32 (pow.f32 alpha #s(literal 2 binary32))) #s(literal 3 binary32)) (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 3 binary32)))) (*.f32 #s(literal 240 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (*.f32 (pow.f32 (log.f32 (pow.f32 alpha #s(literal 2 binary32))) #s(literal 3 binary32)) (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 3 binary32))))))) (-.f32 (+.f32 alpha (*.f32 alpha (-.f32 alpha #s(literal 1 binary32)))) #s(literal 1 binary32))) (pow.f32 (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))) #s(literal 2 binary32)))))))) (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 (pow.f32 (log.f32 (pow.f32 alpha #s(literal 2 binary32))) #s(literal 2 binary32)) (*.f32 (-.f32 (+.f32 alpha (*.f32 alpha (-.f32 alpha #s(literal 1 binary32)))) #s(literal 1 binary32)) (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 2 binary32))))) (pow.f32 (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))) #s(literal 3 binary32))) (*.f32 #s(literal 1/24 binary32) (/.f32 (*.f32 (fma.f32 #s(literal -12 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 (pow.f32 (log.f32 (pow.f32 alpha #s(literal 2 binary32))) #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 12 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 (pow.f32 (log.f32 (pow.f32 alpha #s(literal 2 binary32))) #s(literal 2 binary32)) (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 2 binary32)))))) (-.f32 (+.f32 alpha (*.f32 alpha (-.f32 alpha #s(literal 1 binary32)))) #s(literal 1 binary32))) (pow.f32 (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))) #s(literal 2 binary32))))))) (/.f32 (*.f32 (PI.f32) (*.f32 (log.f32 (pow.f32 alpha #s(literal 2 binary32))) (*.f32 (-.f32 (+.f32 alpha (*.f32 alpha (-.f32 alpha #s(literal 1 binary32)))) #s(literal 1 binary32)) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32))))) (pow.f32 (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))) #s(literal 2 binary32)))) (+.f32 (/.f32 alpha (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32)))) (/.f32 (*.f32 alpha (-.f32 alpha #s(literal 1 binary32))) (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32)))))) (/.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))))))
#s(approx (log (pow (* alpha alpha) (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI)))) (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))))
#s(approx (log (pow (* alpha alpha) (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI)))) (+.f32 (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))) (*.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)))))))
#s(approx (log (pow (* alpha alpha) (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI)))) (+.f32 (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (fma.f32 #s(literal 1/24 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (fma.f32 #s(literal -12 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 (pow.f32 (log.f32 (pow.f32 alpha #s(literal 2 binary32))) #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 12 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 (pow.f32 (log.f32 (pow.f32 alpha #s(literal 2 binary32))) #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 (log.f32 (pow.f32 alpha #s(literal 2 binary32))) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32))))))))
#s(approx (log (pow (* alpha alpha) (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI)))) (+.f32 (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (fma.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 (pow.f32 cosTheta #s(literal 2 binary32)) (fma.f32 #s(literal 1/720 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (fma.f32 #s(literal -360 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (*.f32 (pow.f32 (log.f32 (pow.f32 alpha #s(literal 2 binary32))) #s(literal 3 binary32)) (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 3 binary32)))) (fma.f32 #s(literal 120 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (*.f32 (pow.f32 (log.f32 (pow.f32 alpha #s(literal 2 binary32))) #s(literal 3 binary32)) (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 3 binary32)))) (*.f32 #s(literal 240 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (*.f32 (pow.f32 (log.f32 (pow.f32 alpha #s(literal 2 binary32))) #s(literal 3 binary32)) (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 3 binary32)))))))) (*.f32 #s(literal 1/24 binary32) (fma.f32 #s(literal -12 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 (pow.f32 (log.f32 (pow.f32 alpha #s(literal 2 binary32))) #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 12 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 (pow.f32 (log.f32 (pow.f32 alpha #s(literal 2 binary32))) #s(literal 2 binary32)) (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 2 binary32)))))))))))))
#s(approx (pow (* alpha alpha) (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI))) (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32)))
#s(approx (pow (* alpha alpha) (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI))) (fma.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 (pow.f32 alpha #s(literal 2 binary32))) (*.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))))) (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))))
#s(approx (pow (* alpha alpha) (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI))) (fma.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (fma.f32 #s(literal 1/2 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 (pow.f32 (log.f32 (pow.f32 alpha #s(literal 2 binary32))) #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 2 binary32)) (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32)))))) (*.f32 (PI.f32) (*.f32 (log.f32 (pow.f32 alpha #s(literal 2 binary32))) (*.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32)))))) (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))))
#s(approx (pow (* alpha alpha) (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI))) (fma.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (fma.f32 (PI.f32) (*.f32 (log.f32 (pow.f32 alpha #s(literal 2 binary32))) (*.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32)))) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (fma.f32 #s(literal 1/6 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (*.f32 (pow.f32 (log.f32 (pow.f32 alpha #s(literal 2 binary32))) #s(literal 3 binary32)) (*.f32 (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 3 binary32)) (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32)))))) (*.f32 #s(literal 1/2 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 (pow.f32 (log.f32 (pow.f32 alpha #s(literal 2 binary32))) #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 2 binary32)) (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))))))))) (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))))
#s(approx (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI)) (PI.f32))
#s(approx (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI)) (+.f32 (PI.f32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32))))))
#s(approx (* (PI) (* cosTheta cosTheta)) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (PI.f32)))
#s(approx (* cosTheta cosTheta) (pow.f32 cosTheta #s(literal 2 binary32)))
#s(approx cosTheta cosTheta)
#s(approx (/ (+ (* alpha alpha) -1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (- (* alpha (* cosTheta alpha)) cosTheta) cosTheta)))) (/.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))))))
#s(approx (/ (+ (* alpha alpha) -1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (- (* alpha (* cosTheta alpha)) cosTheta) cosTheta)))) (-.f32 (fma.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)))))))
#s(approx (/ (+ (* alpha alpha) -1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (- (* alpha (* cosTheta alpha)) cosTheta) cosTheta)))) (-.f32 (fma.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)))))))
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#s(approx (* (PI) (log (* alpha alpha))) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))
#s(approx (log (* alpha alpha)) (*.f32 #s(literal -2 binary32) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))
#s(approx (/ (+ (* alpha alpha) -1) (* (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI)) (log (* alpha 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)))))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 (PI.f32) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (PI.f32)))) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 2 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) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))))))
#s(approx (/ (+ (* alpha alpha) -1) (* (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI)) (log (* alpha alpha)))) (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 (+.f32 (PI.f32) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (PI.f32)))) (-.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 (PI.f32) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (PI.f32)))) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))))) (*.f32 (pow.f32 alpha #s(literal 4 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (PI.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))))))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 (PI.f32) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (PI.f32)))) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 2 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) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))))))
#s(approx (/ (+ (* alpha alpha) -1) (* (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI)) (log (* alpha 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 (PI.f32) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (PI.f32)))) #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 (PI.f32) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (PI.f32)))) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))))) (*.f32 (pow.f32 alpha #s(literal 6 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 (PI.f32) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (PI.f32)))) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))) (fma.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 (PI.f32) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (PI.f32)))) (-.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 (PI.f32) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (PI.f32)))) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))))) (*.f32 (pow.f32 alpha #s(literal 4 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (PI.f32))))))))
#s(approx (* (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI)) (log (* alpha alpha))) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (fma.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 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (+.f32 (PI.f32) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (PI.f32))))) (pow.f32 alpha #s(literal 2 binary32)))))))
#s(approx (* (/ (- alpha 1) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (/ (+ alpha 1) (* (PI) (log (* alpha alpha))))) (-.f32 (fma.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 (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 #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))))))))
#s(approx (* (/ (- alpha 1) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (/ (+ alpha 1) (* (PI) (log (* alpha alpha))))) (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (fma.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 #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 (pow.f32 alpha #s(literal 4 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)))) (fma.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 (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 #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))))))))
#s(approx (* (/ (- alpha 1) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (/ (+ alpha 1) (* (PI) (log (* alpha alpha))))) (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (fma.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 #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 (pow.f32 alpha #s(literal 4 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)))) (fma.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 (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)) (fma.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 #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 (pow.f32 alpha #s(literal 6 binary32)) (pow.f32 cosTheta #s(literal 4 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))))))))
#s(approx (/ (- alpha 1) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 alpha (pow.f32 cosTheta #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) alpha)))
#s(approx (/ (- alpha 1) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 alpha (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 alpha (pow.f32 cosTheta #s(literal 4 binary32)))) (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))) alpha)) (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) alpha)))
#s(approx (/ (- alpha 1) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 4 binary32)))) (/.f32 #s(literal 1 binary32) (*.f32 alpha (pow.f32 cosTheta #s(literal 2 binary32))))) (/.f32 #s(literal 1 binary32) (*.f32 alpha (pow.f32 cosTheta #s(literal 4 binary32))))) alpha)) (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) alpha)) (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) alpha)))
#s(approx (/ (+ alpha 1) (* (PI) (log (* alpha alpha)))) (*.f32 #s(literal -1/2 binary32) (/.f32 alpha (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))))
#s(approx (/ (+ alpha 1) (* (PI) (log (* alpha alpha)))) (*.f32 #s(literal -1 binary32) (*.f32 alpha (fma.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)))))))))
Calls

6 calls:

TimeVariablePointExpression
59.0ms
alpha
@-inf
((/ (+ (* (- alpha 1) alpha) (- alpha 1)) (log (pow (* alpha alpha) (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI))))) (+ (* (- alpha 1) alpha) (- alpha 1)) (- alpha 1) alpha 1 (log (pow (* alpha alpha) (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI)))) (pow (* alpha alpha) (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI))) (* alpha alpha) (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI)) (* (PI) (* cosTheta cosTheta)) (PI) (* cosTheta cosTheta) cosTheta (+ (* alpha alpha) -1) -1 (/ (+ (* alpha alpha) -1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (- (* alpha (* cosTheta alpha)) cosTheta) cosTheta)))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (- (* alpha (* cosTheta alpha)) cosTheta) cosTheta))) (* (PI) (log (* alpha alpha))) (log (* alpha alpha)) (+ 1 (* (- (* alpha (* cosTheta alpha)) cosTheta) cosTheta)) (/ (+ (* (- alpha 1) alpha) (- alpha 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (/ (+ (* alpha alpha) -1) (* (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI)) (log (* alpha alpha)))) (* (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI)) (log (* alpha alpha))) (* (/ (- alpha 1) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (/ (+ alpha 1) (* (PI) (log (* alpha alpha))))) (/ (- alpha 1) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (/ (+ alpha 1) (* (PI) (log (* alpha alpha)))) (+ alpha 1))
21.0ms
cosTheta
@-inf
((/ (+ (* (- alpha 1) alpha) (- alpha 1)) (log (pow (* alpha alpha) (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI))))) (+ (* (- alpha 1) alpha) (- alpha 1)) (- alpha 1) alpha 1 (log (pow (* alpha alpha) (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI)))) (pow (* alpha alpha) (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI))) (* alpha alpha) (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI)) (* (PI) (* cosTheta cosTheta)) (PI) (* cosTheta cosTheta) cosTheta (+ (* alpha alpha) -1) -1 (/ (+ (* alpha alpha) -1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (- (* alpha (* cosTheta alpha)) cosTheta) cosTheta)))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (- (* alpha (* cosTheta alpha)) cosTheta) cosTheta))) (* (PI) (log (* alpha alpha))) (log (* alpha alpha)) (+ 1 (* (- (* alpha (* cosTheta alpha)) cosTheta) cosTheta)) (/ (+ (* (- alpha 1) alpha) (- alpha 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (/ (+ (* alpha alpha) -1) (* (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI)) (log (* alpha alpha)))) (* (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI)) (log (* alpha alpha))) (* (/ (- alpha 1) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (/ (+ alpha 1) (* (PI) (log (* alpha alpha))))) (/ (- alpha 1) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (/ (+ alpha 1) (* (PI) (log (* alpha alpha)))) (+ alpha 1))
20.0ms
alpha
@inf
((/ (+ (* (- alpha 1) alpha) (- alpha 1)) (log (pow (* alpha alpha) (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI))))) (+ (* (- alpha 1) alpha) (- alpha 1)) (- alpha 1) alpha 1 (log (pow (* alpha alpha) (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI)))) (pow (* alpha alpha) (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI))) (* alpha alpha) (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI)) (* (PI) (* cosTheta cosTheta)) (PI) (* cosTheta cosTheta) cosTheta (+ (* alpha alpha) -1) -1 (/ (+ (* alpha alpha) -1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (- (* alpha (* cosTheta alpha)) cosTheta) cosTheta)))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (- (* alpha (* cosTheta alpha)) cosTheta) cosTheta))) (* (PI) (log (* alpha alpha))) (log (* alpha alpha)) (+ 1 (* (- (* alpha (* cosTheta alpha)) cosTheta) cosTheta)) (/ (+ (* (- alpha 1) alpha) (- alpha 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (/ (+ (* alpha alpha) -1) (* (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI)) (log (* alpha alpha)))) (* (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI)) (log (* alpha alpha))) (* (/ (- alpha 1) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (/ (+ alpha 1) (* (PI) (log (* alpha alpha))))) (/ (- alpha 1) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (/ (+ alpha 1) (* (PI) (log (* alpha alpha)))) (+ alpha 1))
16.0ms
cosTheta
@inf
((/ (+ (* (- alpha 1) alpha) (- alpha 1)) (log (pow (* alpha alpha) (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI))))) (+ (* (- alpha 1) alpha) (- alpha 1)) (- alpha 1) alpha 1 (log (pow (* alpha alpha) (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI)))) (pow (* alpha alpha) (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI))) (* alpha alpha) (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI)) (* (PI) (* cosTheta cosTheta)) (PI) (* cosTheta cosTheta) cosTheta (+ (* alpha alpha) -1) -1 (/ (+ (* alpha alpha) -1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (- (* alpha (* cosTheta alpha)) cosTheta) cosTheta)))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (- (* alpha (* cosTheta alpha)) cosTheta) cosTheta))) (* (PI) (log (* alpha alpha))) (log (* alpha alpha)) (+ 1 (* (- (* alpha (* cosTheta alpha)) cosTheta) cosTheta)) (/ (+ (* (- alpha 1) alpha) (- alpha 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (/ (+ (* alpha alpha) -1) (* (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI)) (log (* alpha alpha)))) (* (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI)) (log (* alpha alpha))) (* (/ (- alpha 1) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (/ (+ alpha 1) (* (PI) (log (* alpha alpha))))) (/ (- alpha 1) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (/ (+ alpha 1) (* (PI) (log (* alpha alpha)))) (+ alpha 1))
13.0ms
cosTheta
@0
((/ (+ (* (- alpha 1) alpha) (- alpha 1)) (log (pow (* alpha alpha) (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI))))) (+ (* (- alpha 1) alpha) (- alpha 1)) (- alpha 1) alpha 1 (log (pow (* alpha alpha) (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI)))) (pow (* alpha alpha) (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI))) (* alpha alpha) (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI)) (* (PI) (* cosTheta cosTheta)) (PI) (* cosTheta cosTheta) cosTheta (+ (* alpha alpha) -1) -1 (/ (+ (* alpha alpha) -1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (- (* alpha (* cosTheta alpha)) cosTheta) cosTheta)))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (- (* alpha (* cosTheta alpha)) cosTheta) cosTheta))) (* (PI) (log (* alpha alpha))) (log (* alpha alpha)) (+ 1 (* (- (* alpha (* cosTheta alpha)) cosTheta) cosTheta)) (/ (+ (* (- alpha 1) alpha) (- alpha 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (/ (+ (* alpha alpha) -1) (* (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI)) (log (* alpha alpha)))) (* (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI)) (log (* alpha alpha))) (* (/ (- alpha 1) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (/ (+ alpha 1) (* (PI) (log (* alpha alpha))))) (/ (- alpha 1) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (/ (+ alpha 1) (* (PI) (log (* alpha alpha)))) (+ alpha 1))

rewrite979.0ms (7.3%)

Memory
59.9MiB live, 592.3MiB allocated; 127ms collecting garbage
Counts
30 → 861
Calls
Call 1
Inputs
(/.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha (-.f32 alpha #s(literal 1 binary32))) (log.f32 (pow.f32 (*.f32 alpha alpha) (fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)))))
(fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha (-.f32 alpha #s(literal 1 binary32)))
(-.f32 alpha #s(literal 1 binary32))
alpha
#s(literal 1 binary32)
(log.f32 (pow.f32 (*.f32 alpha alpha) (fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32))))
(pow.f32 (*.f32 alpha alpha) (fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)))
(*.f32 alpha alpha)
(fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32))
(*.f32 (PI.f32) (*.f32 cosTheta cosTheta))
(PI.f32)
(*.f32 cosTheta cosTheta)
cosTheta
(fma.f32 alpha alpha #s(literal -1 binary32))
#s(literal -1 binary32)
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (- (* alpha (* cosTheta alpha)) cosTheta) cosTheta)) #s(literal 1 binary32))))
(*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (- (* alpha (* cosTheta alpha)) cosTheta) cosTheta)) #s(literal 1 binary32)))
(*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))
(log.f32 (*.f32 alpha alpha))
#s(approx (+ 1 (* (- (* alpha (* cosTheta alpha)) cosTheta) cosTheta)) #s(literal 1 binary32))
(/.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha (-.f32 alpha #s(literal 1 binary32))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)))
#s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha))))
(*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))
(*.f32 (/.f32 (-.f32 alpha #s(literal 1 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))) (/.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))))
(/.f32 (-.f32 alpha #s(literal 1 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))
(fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))
(/.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(+.f32 alpha #s(literal 1 binary32))
Outputs
(*.f32 (/.f32 (-.f32 alpha #s(literal 1 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))) (/.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))))
(*.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))))
(*.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))))
(*.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))))
(*.f32 (/.f32 (/.f32 (-.f32 alpha #s(literal 1 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))) (PI.f32)) (/.f32 (+.f32 alpha #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha))))
(*.f32 (/.f32 (/.f32 (-.f32 alpha #s(literal 1 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))) (log.f32 (*.f32 alpha alpha))) (/.f32 (+.f32 alpha #s(literal 1 binary32)) (PI.f32)))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))) (fma.f32 alpha alpha #s(literal -1 binary32)))
(*.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32))) (/.f32 #s(literal 1 binary32) (log.f32 (*.f32 alpha alpha))))
(*.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha))))
(*.f32 (/.f32 (-.f32 alpha #s(literal 1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) (/.f32 (+.f32 alpha #s(literal 1 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))))
(*.f32 (-.f32 alpha #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))) (/.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))))
(*.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))))
(*.f32 (-.f32 alpha #s(literal 1 binary32)) (/.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))))
(*.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))))
(*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))))
(*.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32))))
(*.f32 (/.f32 (-.f32 alpha #s(literal 1 binary32)) (PI.f32)) (/.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha)))))
(*.f32 (-.f32 alpha #s(literal 1 binary32)) (/.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))))
(*.f32 (-.f32 #s(literal 1 binary32) (*.f32 alpha alpha)) (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (neg.f32 (log.f32 (*.f32 alpha alpha))))))
(+.f32 (/.f32 (*.f32 (-.f32 alpha #s(literal 1 binary32)) alpha) (*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))))
(+.f32 (/.f32 (*.f32 (-.f32 alpha #s(literal 1 binary32)) alpha) (*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))))
(+.f32 (/.f32 (*.f32 (-.f32 alpha #s(literal 1 binary32)) alpha) (*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))) (*.f32 (/.f32 (-.f32 alpha #s(literal 1 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))))
(+.f32 (/.f32 (-.f32 alpha #s(literal 1 binary32)) (*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))) (/.f32 (*.f32 (-.f32 alpha #s(literal 1 binary32)) alpha) (*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))))
(+.f32 (/.f32 (*.f32 alpha alpha) (*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))) (/.f32 #s(literal -1 binary32) (*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))))
(+.f32 (/.f32 #s(literal -1 binary32) (*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))) (/.f32 (*.f32 alpha alpha) (*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))))
(+.f32 (/.f32 (*.f32 alpha alpha) (*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))) (/.f32 (neg.f32 #s(literal 1 binary32)) (*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))))
(-.f32 (/.f32 (*.f32 alpha alpha) (*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))) (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))))
(-.f32 (/.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha alpha) (*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))) (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))))
(-.f32 (/.f32 (*.f32 (-.f32 alpha #s(literal 1 binary32)) alpha) (*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))) (/.f32 (-.f32 #s(literal 1 binary32) alpha) (*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))))
(-.f32 (/.f32 (*.f32 alpha alpha) (*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))) (/.f32 (neg.f32 #s(literal -1 binary32)) (*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))))
(-.f32 (/.f32 (*.f32 alpha alpha) (*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))) (neg.f32 (/.f32 #s(literal -1 binary32) (*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha))))))
(-.f32 (/.f32 (*.f32 (-.f32 alpha #s(literal 1 binary32)) alpha) (*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))) (neg.f32 (/.f32 (-.f32 alpha #s(literal 1 binary32)) (*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha))))))
(/.f32 (*.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (PI.f32)) (-.f32 alpha #s(literal 1 binary32))) (*.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha))))
(/.f32 (*.f32 (-.f32 alpha #s(literal 1 binary32)) (/.f32 (+.f32 alpha #s(literal 1 binary32)) (PI.f32))) (*.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)) (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 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (*.f32 alpha alpha))) (fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)))
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (*.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha))))
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32))) (log.f32 (*.f32 alpha alpha)))
(/.f32 (neg.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))) (neg.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))))
(/.f32 (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))) (log.f32 (*.f32 alpha alpha))) (PI.f32))
(/.f32 (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))) (PI.f32)) (log.f32 (*.f32 alpha alpha)))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) alpha) (/.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))) (neg.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))))
(/.f32 (*.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (PI.f32)) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))) (log.f32 (*.f32 alpha alpha)))
(/.f32 (*.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) (-.f32 #s(literal 1 binary32) alpha)) (neg.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))))
(/.f32 (*.f32 (/.f32 (-.f32 alpha #s(literal 1 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))) (/.f32 (+.f32 alpha #s(literal 1 binary32)) (PI.f32))) (log.f32 (*.f32 alpha alpha)))
(/.f32 (neg.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))) (*.f32 (log.f32 (*.f32 alpha alpha)) (neg.f32 (PI.f32))))
(/.f32 (*.f32 (-.f32 (neg.f32 #s(literal 1 binary32)) alpha) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))) (*.f32 (log.f32 (*.f32 alpha alpha)) (neg.f32 (PI.f32))))
(/.f32 (*.f32 (/.f32 (-.f32 alpha #s(literal 1 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))) (-.f32 (neg.f32 #s(literal 1 binary32)) alpha)) (*.f32 (log.f32 (*.f32 alpha alpha)) (neg.f32 (PI.f32))))
(/.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha))))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 alpha alpha)) (*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (neg.f32 (log.f32 (*.f32 alpha alpha)))))
(/.f32 (*.f32 (-.f32 alpha #s(literal 1 binary32)) (-.f32 (neg.f32 #s(literal 1 binary32)) alpha)) (*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (neg.f32 (log.f32 (*.f32 alpha alpha)))))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) alpha) (+.f32 alpha #s(literal 1 binary32))) (*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (neg.f32 (log.f32 (*.f32 alpha alpha)))))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) alpha) (-.f32 (neg.f32 #s(literal 1 binary32)) alpha)) (*.f32 (neg.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))) (*.f32 (log.f32 (*.f32 alpha alpha)) (neg.f32 (PI.f32)))))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) alpha) (/.f32 (+.f32 alpha #s(literal 1 binary32)) (PI.f32))) (*.f32 (neg.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))) (log.f32 (*.f32 alpha alpha))))
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cosTheta
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(+.f32 (*.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal 1 binary32))
(+.f32 (*.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32))) (neg.f32 (neg.f32 #s(literal 1 binary32))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32))))
(+.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 alpha alpha))) (neg.f32 (*.f32 cosTheta cosTheta)))
(+.f32 (*.f32 (*.f32 cosTheta cosTheta) (*.f32 alpha alpha)) (-.f32 (neg.f32 (*.f32 cosTheta cosTheta)) (neg.f32 #s(literal 1 binary32))))
(-.f32 (*.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32))) (neg.f32 #s(literal 1 binary32)))
(-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 alpha alpha)) (*.f32 cosTheta cosTheta)))
(fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))
(fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 cosTheta cosTheta) (neg.f32 alpha)) (neg.f32 alpha) (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32)))
(fma.f32 (*.f32 (*.f32 cosTheta cosTheta) (fabs.f32 alpha)) (fabs.f32 alpha) (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32)))
(fma.f32 (*.f32 (*.f32 cosTheta cosTheta) alpha) alpha (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32)))
(fma.f32 (*.f32 (*.f32 cosTheta cosTheta) (+.f32 alpha #s(literal 1 binary32))) (-.f32 alpha #s(literal 1 binary32)) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 cosTheta cosTheta) (+.f32 alpha #s(literal 1 binary32))) (-.f32 alpha #s(literal 1 binary32)) (neg.f32 (neg.f32 #s(literal 1 binary32))))
(fma.f32 (*.f32 (*.f32 alpha cosTheta) alpha) cosTheta (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32)))
(fma.f32 (*.f32 (*.f32 alpha alpha) (neg.f32 cosTheta)) (neg.f32 cosTheta) (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32)))
(fma.f32 (*.f32 (*.f32 alpha alpha) (fabs.f32 cosTheta)) (fabs.f32 cosTheta) (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32)))
(fma.f32 (*.f32 (fabs.f32 cosTheta) alpha) (*.f32 (fabs.f32 cosTheta) alpha) (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32)))
(fma.f32 (*.f32 (fabs.f32 cosTheta) (neg.f32 alpha)) (*.f32 (fabs.f32 cosTheta) (neg.f32 alpha)) (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32)))
(fma.f32 (*.f32 (fabs.f32 cosTheta) (fabs.f32 alpha)) (*.f32 (fabs.f32 cosTheta) (fabs.f32 alpha)) (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32)))
(fma.f32 (*.f32 (fabs.f32 alpha) cosTheta) (*.f32 (fabs.f32 alpha) cosTheta) (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32)))
(fma.f32 (*.f32 (fabs.f32 alpha) (neg.f32 cosTheta)) (*.f32 (fabs.f32 alpha) (neg.f32 cosTheta)) (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32)))
(fma.f32 (*.f32 (fabs.f32 alpha) (fabs.f32 cosTheta)) (*.f32 (fabs.f32 alpha) (fabs.f32 cosTheta)) (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32)))
(fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32))
(fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta (neg.f32 (neg.f32 #s(literal 1 binary32))))
(fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fabs.f32 cosTheta)) (fabs.f32 cosTheta) #s(literal 1 binary32))
(fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fabs.f32 cosTheta)) (fabs.f32 cosTheta) (neg.f32 (neg.f32 #s(literal 1 binary32))))
(fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 alpha alpha)) cosTheta) (neg.f32 cosTheta) #s(literal 1 binary32))
(fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 alpha alpha)) cosTheta) (neg.f32 cosTheta) (neg.f32 (neg.f32 #s(literal 1 binary32))))
(fma.f32 (*.f32 (neg.f32 cosTheta) alpha) (*.f32 (neg.f32 cosTheta) alpha) (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32)))
(fma.f32 (*.f32 (neg.f32 cosTheta) (neg.f32 alpha)) (*.f32 (neg.f32 cosTheta) (neg.f32 alpha)) (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32)))
(fma.f32 (*.f32 (neg.f32 cosTheta) (fabs.f32 alpha)) (*.f32 (neg.f32 cosTheta) (fabs.f32 alpha)) (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32)))
(fma.f32 (*.f32 (neg.f32 alpha) cosTheta) (*.f32 (neg.f32 alpha) cosTheta) (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32)))
(fma.f32 (*.f32 (neg.f32 alpha) (neg.f32 cosTheta)) (*.f32 (neg.f32 alpha) (neg.f32 cosTheta)) (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32)))
(fma.f32 (*.f32 (neg.f32 alpha) (fabs.f32 cosTheta)) (*.f32 (neg.f32 alpha) (fabs.f32 cosTheta)) (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32)))
(fma.f32 (*.f32 cosTheta (neg.f32 alpha)) (*.f32 cosTheta (neg.f32 alpha)) (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32)))
(fma.f32 (*.f32 cosTheta (fabs.f32 alpha)) (*.f32 cosTheta (fabs.f32 alpha)) (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32)))
(fma.f32 (*.f32 alpha (neg.f32 cosTheta)) (*.f32 alpha (neg.f32 cosTheta)) (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32)))
(fma.f32 (*.f32 alpha (fabs.f32 cosTheta)) (*.f32 alpha (fabs.f32 cosTheta)) (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32)))
(fma.f32 cosTheta (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) #s(literal 1 binary32))
(fma.f32 cosTheta (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) (neg.f32 (neg.f32 #s(literal 1 binary32))))
(fma.f32 cosTheta (*.f32 (*.f32 alpha cosTheta) alpha) (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32)))
(fma.f32 alpha (*.f32 alpha (*.f32 cosTheta cosTheta)) (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32)))
(fma.f32 (fabs.f32 cosTheta) (*.f32 (fabs.f32 cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal 1 binary32))
(fma.f32 (fabs.f32 cosTheta) (*.f32 (fabs.f32 cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32))) (neg.f32 (neg.f32 #s(literal 1 binary32))))
(fma.f32 (fabs.f32 cosTheta) (*.f32 (fabs.f32 cosTheta) (*.f32 alpha alpha)) (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32)))
(fma.f32 (fabs.f32 alpha) (*.f32 (fabs.f32 alpha) (*.f32 cosTheta cosTheta)) (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32)))
(fma.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 (-.f32 alpha #s(literal 1 binary32)) (*.f32 cosTheta cosTheta)) #s(literal 1 binary32))
(fma.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 (-.f32 alpha #s(literal 1 binary32)) (*.f32 cosTheta cosTheta)) (neg.f32 (neg.f32 #s(literal 1 binary32))))
(fma.f32 (neg.f32 cosTheta) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 alpha alpha)) cosTheta) #s(literal 1 binary32))
(fma.f32 (neg.f32 cosTheta) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 alpha alpha)) cosTheta) (neg.f32 (neg.f32 #s(literal 1 binary32))))
(fma.f32 (neg.f32 cosTheta) (*.f32 (neg.f32 cosTheta) (*.f32 alpha alpha)) (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32)))
(fma.f32 (neg.f32 alpha) (*.f32 (neg.f32 alpha) (*.f32 cosTheta cosTheta)) (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32)))
(fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) (neg.f32 (neg.f32 #s(literal 1 binary32))))
(fma.f32 (*.f32 alpha alpha) (*.f32 cosTheta cosTheta) (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32)))
(fma.f32 (*.f32 alpha cosTheta) (*.f32 alpha cosTheta) (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32)))
(fma.f32 (*.f32 cosTheta cosTheta) (*.f32 alpha alpha) (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32)))
(fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) (neg.f32 (neg.f32 #s(literal 1 binary32))))
(fma.f32 (*.f32 (*.f32 alpha cosTheta) alpha) cosTheta (-.f32 (neg.f32 (*.f32 cosTheta cosTheta)) (neg.f32 #s(literal 1 binary32))))
(fma.f32 (*.f32 alpha alpha) (*.f32 cosTheta cosTheta) (-.f32 (neg.f32 (*.f32 cosTheta cosTheta)) (neg.f32 #s(literal 1 binary32))))
(fma.f32 (*.f32 cosTheta cosTheta) (*.f32 alpha alpha) (-.f32 (neg.f32 (*.f32 cosTheta cosTheta)) (neg.f32 #s(literal 1 binary32))))
(fma.f32 (*.f32 (neg.f32 alpha) cosTheta) (*.f32 (neg.f32 alpha) cosTheta) (-.f32 (neg.f32 (*.f32 cosTheta cosTheta)) (neg.f32 #s(literal 1 binary32))))
(fma.f32 (*.f32 (neg.f32 alpha) (neg.f32 cosTheta)) (*.f32 (neg.f32 alpha) (neg.f32 cosTheta)) (-.f32 (neg.f32 (*.f32 cosTheta cosTheta)) (neg.f32 #s(literal 1 binary32))))
(fma.f32 (*.f32 (neg.f32 alpha) (fabs.f32 cosTheta)) (*.f32 (neg.f32 alpha) (fabs.f32 cosTheta)) (-.f32 (neg.f32 (*.f32 cosTheta cosTheta)) (neg.f32 #s(literal 1 binary32))))
(fma.f32 (*.f32 (fabs.f32 alpha) cosTheta) (*.f32 (fabs.f32 alpha) cosTheta) (-.f32 (neg.f32 (*.f32 cosTheta cosTheta)) (neg.f32 #s(literal 1 binary32))))
(fma.f32 (*.f32 (fabs.f32 alpha) (neg.f32 cosTheta)) (*.f32 (fabs.f32 alpha) (neg.f32 cosTheta)) (-.f32 (neg.f32 (*.f32 cosTheta cosTheta)) (neg.f32 #s(literal 1 binary32))))
(fma.f32 (*.f32 (fabs.f32 alpha) (fabs.f32 cosTheta)) (*.f32 (fabs.f32 alpha) (fabs.f32 cosTheta)) (-.f32 (neg.f32 (*.f32 cosTheta cosTheta)) (neg.f32 #s(literal 1 binary32))))
(fma.f32 (*.f32 (neg.f32 cosTheta) alpha) (*.f32 (neg.f32 cosTheta) alpha) (-.f32 (neg.f32 (*.f32 cosTheta cosTheta)) (neg.f32 #s(literal 1 binary32))))
(fma.f32 (*.f32 (neg.f32 cosTheta) (neg.f32 alpha)) (*.f32 (neg.f32 cosTheta) (neg.f32 alpha)) (-.f32 (neg.f32 (*.f32 cosTheta cosTheta)) (neg.f32 #s(literal 1 binary32))))
(fma.f32 (*.f32 (neg.f32 cosTheta) (fabs.f32 alpha)) (*.f32 (neg.f32 cosTheta) (fabs.f32 alpha)) (-.f32 (neg.f32 (*.f32 cosTheta cosTheta)) (neg.f32 #s(literal 1 binary32))))
(fma.f32 (*.f32 (fabs.f32 cosTheta) alpha) (*.f32 (fabs.f32 cosTheta) alpha) (-.f32 (neg.f32 (*.f32 cosTheta cosTheta)) (neg.f32 #s(literal 1 binary32))))
(fma.f32 (*.f32 (fabs.f32 cosTheta) (neg.f32 alpha)) (*.f32 (fabs.f32 cosTheta) (neg.f32 alpha)) (-.f32 (neg.f32 (*.f32 cosTheta cosTheta)) (neg.f32 #s(literal 1 binary32))))
(fma.f32 (*.f32 (fabs.f32 cosTheta) (fabs.f32 alpha)) (*.f32 (fabs.f32 cosTheta) (fabs.f32 alpha)) (-.f32 (neg.f32 (*.f32 cosTheta cosTheta)) (neg.f32 #s(literal 1 binary32))))
(fma.f32 (*.f32 alpha (neg.f32 cosTheta)) (*.f32 alpha (neg.f32 cosTheta)) (-.f32 (neg.f32 (*.f32 cosTheta cosTheta)) (neg.f32 #s(literal 1 binary32))))
(fma.f32 (*.f32 alpha (fabs.f32 cosTheta)) (*.f32 alpha (fabs.f32 cosTheta)) (-.f32 (neg.f32 (*.f32 cosTheta cosTheta)) (neg.f32 #s(literal 1 binary32))))
(fma.f32 (*.f32 cosTheta (neg.f32 alpha)) (*.f32 cosTheta (neg.f32 alpha)) (-.f32 (neg.f32 (*.f32 cosTheta cosTheta)) (neg.f32 #s(literal 1 binary32))))
(fma.f32 (*.f32 cosTheta (fabs.f32 alpha)) (*.f32 cosTheta (fabs.f32 alpha)) (-.f32 (neg.f32 (*.f32 cosTheta cosTheta)) (neg.f32 #s(literal 1 binary32))))
(fma.f32 (*.f32 alpha cosTheta) (*.f32 alpha cosTheta) (-.f32 (neg.f32 (*.f32 cosTheta cosTheta)) (neg.f32 #s(literal 1 binary32))))
(fma.f32 (neg.f32 alpha) (*.f32 (neg.f32 alpha) (*.f32 cosTheta cosTheta)) (-.f32 (neg.f32 (*.f32 cosTheta cosTheta)) (neg.f32 #s(literal 1 binary32))))
(fma.f32 (fabs.f32 alpha) (*.f32 (fabs.f32 alpha) (*.f32 cosTheta cosTheta)) (-.f32 (neg.f32 (*.f32 cosTheta cosTheta)) (neg.f32 #s(literal 1 binary32))))
(fma.f32 (neg.f32 cosTheta) (*.f32 (neg.f32 cosTheta) (*.f32 alpha alpha)) (-.f32 (neg.f32 (*.f32 cosTheta cosTheta)) (neg.f32 #s(literal 1 binary32))))
(fma.f32 (fabs.f32 cosTheta) (*.f32 (fabs.f32 cosTheta) (*.f32 alpha alpha)) (-.f32 (neg.f32 (*.f32 cosTheta cosTheta)) (neg.f32 #s(literal 1 binary32))))
(fma.f32 alpha (*.f32 alpha (*.f32 cosTheta cosTheta)) (-.f32 (neg.f32 (*.f32 cosTheta cosTheta)) (neg.f32 #s(literal 1 binary32))))
(fma.f32 cosTheta (*.f32 (*.f32 alpha cosTheta) alpha) (-.f32 (neg.f32 (*.f32 cosTheta cosTheta)) (neg.f32 #s(literal 1 binary32))))
(fma.f32 (*.f32 (*.f32 cosTheta cosTheta) (neg.f32 alpha)) (neg.f32 alpha) (-.f32 (neg.f32 (*.f32 cosTheta cosTheta)) (neg.f32 #s(literal 1 binary32))))
(fma.f32 (*.f32 (*.f32 cosTheta cosTheta) (fabs.f32 alpha)) (fabs.f32 alpha) (-.f32 (neg.f32 (*.f32 cosTheta cosTheta)) (neg.f32 #s(literal 1 binary32))))
(fma.f32 (*.f32 (*.f32 alpha alpha) (neg.f32 cosTheta)) (neg.f32 cosTheta) (-.f32 (neg.f32 (*.f32 cosTheta cosTheta)) (neg.f32 #s(literal 1 binary32))))
(fma.f32 (*.f32 (*.f32 alpha alpha) (fabs.f32 cosTheta)) (fabs.f32 cosTheta) (-.f32 (neg.f32 (*.f32 cosTheta cosTheta)) (neg.f32 #s(literal 1 binary32))))
(fma.f32 (*.f32 (*.f32 cosTheta cosTheta) alpha) alpha (-.f32 (neg.f32 (*.f32 cosTheta cosTheta)) (neg.f32 #s(literal 1 binary32))))
(neg.f32 (neg.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) (+.f32 alpha #s(literal 1 binary32)))
(*.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (PI.f32)) (/.f32 #s(literal 1 binary32) (log.f32 (*.f32 alpha alpha))))
(*.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))))
(*.f32 (-.f32 (neg.f32 #s(literal 1 binary32)) alpha) (/.f32 #s(literal 1 binary32) (*.f32 (log.f32 (*.f32 alpha alpha)) (neg.f32 (PI.f32)))))
(+.f32 (/.f32 alpha (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))))
(+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) (/.f32 alpha (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))))
(-.f32 (/.f32 alpha (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) (/.f32 (neg.f32 #s(literal 1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))))
(-.f32 (/.f32 alpha (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) (neg.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))))
(/.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))
(/.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(/.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha))) (PI.f32))
(/.f32 (neg.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (PI.f32))) (neg.f32 (log.f32 (*.f32 alpha alpha))))
(/.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(/.f32 (-.f32 (neg.f32 #s(literal 1 binary32)) alpha) (*.f32 (log.f32 (*.f32 alpha alpha)) (neg.f32 (PI.f32))))
(/.f32 (fma.f32 alpha (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))))
(/.f32 (fma.f32 (/.f32 alpha (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(literal 1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(/.f32 (+.f32 alpha #s(literal 1 binary32)) (neg.f32 (*.f32 (log.f32 (*.f32 alpha alpha)) (neg.f32 (PI.f32)))))
(fma.f32 alpha (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) (/.f32 alpha (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))))
(neg.f32 (/.f32 (-.f32 (neg.f32 #s(literal 1 binary32)) alpha) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))))
(neg.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 (log.f32 (*.f32 alpha alpha)) (neg.f32 (PI.f32)))))
(+.f32 alpha #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) alpha)
(+.f32 alpha (neg.f32 (neg.f32 #s(literal 1 binary32))))
(-.f32 #s(literal 1 binary32) (neg.f32 alpha))
(-.f32 alpha (neg.f32 #s(literal 1 binary32)))
(neg.f32 (-.f32 (neg.f32 #s(literal 1 binary32)) alpha))

eval90.0ms (0.7%)

Memory
-8.9MiB live, 124.6MiB allocated; 34ms collecting garbage
Compiler

Compiled 14 934 to 3 172 computations (78.8% saved)

prune33.0ms (0.2%)

Memory
12.6MiB live, 58.2MiB allocated; 2ms collecting garbage
Pruning

29 alts after pruning (27 fresh and 2 done)

PrunedKeptTotal
New89910909
Fresh71724
Picked325
Done202
Total91129940
Accuracy
100.0%
Counts
940 → 29
Alt Table
Click to see full alt table
StatusAccuracyProgram
96.1%
(/.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha (-.f32 alpha #s(literal 1 binary32))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
96.3%
(/.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha (-.f32 alpha #s(literal 1 binary32))) (log.f32 (pow.f32 (*.f32 alpha alpha) #s(approx (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI)) (PI.f32)))))
98.6%
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) #s(approx (log (* alpha alpha)) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))))
98.5%
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha))) (PI.f32)))
96.2%
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) #s(approx (log (* alpha alpha)) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))) #s(approx (+ 1 (* (- (* alpha (* cosTheta alpha)) cosTheta) cosTheta)) #s(literal 1 binary32))))
96.1%
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) #s(approx (log (* alpha alpha)) (*.f32 #s(literal -2 binary32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))) #s(approx (+ 1 (* (- (* alpha (* cosTheta alpha)) cosTheta) cosTheta)) #s(literal 1 binary32))))
96.2%
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 #s(approx (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI)) (PI.f32)) (log.f32 (*.f32 alpha alpha))))
98.5%
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32))) (log.f32 (*.f32 alpha alpha)))
98.4%
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha)))) (PI.f32))
96.2%
(/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 alpha alpha)) (PI.f32)) (*.f32 #s(approx (neg (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) #s(literal -1 binary32)) (log.f32 (*.f32 alpha alpha))))
98.0%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (*.f32 #s(literal -1 binary32) cosTheta)) cosTheta))))
96.2%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) #s(approx (log (* alpha alpha)) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
96.6%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (*.f32 alpha alpha) #s(approx (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI)) (PI.f32)))))
98.1%
(/.f32 (-.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) alpha) alpha)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (neg.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))) (log.f32 (*.f32 alpha alpha)))))
95.6%
(/.f32 (-.f32 alpha (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 alpha #s(literal 1 binary32)) alpha))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
96.0%
(/.f32 (*.f32 (-.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal 1 binary32))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
66.6%
(/.f32 #s(approx (/ (- 1 (* alpha alpha)) (PI)) (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 (neg.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))) (log.f32 (*.f32 alpha alpha))))
66.6%
(/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) cosTheta) cosTheta))))
65.5%
(/.f32 #s(approx (+ (* (- alpha 1) alpha) (- alpha 1)) #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
98.4%
(*.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32))) #s(approx (/ 1 (log (* alpha alpha))) (/.f32 #s(literal 1/2 binary32) (log.f32 alpha))))
98.2%
(*.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32))) #s(approx (/ 1 (log (* alpha alpha))) (/.f32 #s(literal -1/2 binary32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))
96.0%
(*.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(approx (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI)) (PI.f32))) (/.f32 #s(literal 1 binary32) (log.f32 (*.f32 alpha alpha))))
98.1%
(*.f32 (/.f32 (-.f32 alpha #s(literal 1 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))) (/.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha))) (PI.f32)))
98.0%
(*.f32 (/.f32 (-.f32 alpha #s(literal 1 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))) (/.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))))
97.9%
(*.f32 (/.f32 (-.f32 alpha #s(literal 1 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))) #s(approx (/ (+ alpha 1) (* (PI) (log (* alpha alpha)))) (*.f32 #s(literal -1 binary32) (*.f32 alpha (fma.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))))))))))
98.2%
(*.f32 (/.f32 (-.f32 alpha #s(literal 1 binary32)) (*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))) (+.f32 alpha #s(literal 1 binary32)))
98.0%
(*.f32 (/.f32 (-.f32 alpha #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha))) (/.f32 (+.f32 alpha #s(literal 1 binary32)) (fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32))))
98.0%
(*.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 (/.f32 (-.f32 alpha #s(literal 1 binary32)) (fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32))) (/.f32 #s(literal 1 binary32) (log.f32 (*.f32 alpha alpha)))))
95.8%
(*.f32 #s(approx (/ (- alpha 1) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (-.f32 alpha #s(literal 1 binary32))) (/.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))))
Compiler

Compiled 1 109 to 1 040 computations (6.2% saved)

series1.1s (8.4%)

Memory
46.6MiB live, 845.2MiB allocated; 166ms collecting garbage
Counts
39 → 152
Calls
Call 1
Inputs
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) #s(approx (log (* alpha alpha)) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))))
(fma.f32 alpha alpha #s(literal -1 binary32))
alpha
#s(literal -1 binary32)
(*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) #s(approx (log (* alpha alpha)) (*.f32 #s(literal 2 binary32) (log.f32 alpha))))
(fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32))
(*.f32 (PI.f32) (*.f32 cosTheta cosTheta))
(PI.f32)
(*.f32 cosTheta cosTheta)
cosTheta
#s(approx (log (* alpha alpha)) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))
(*.f32 #s(literal 2 binary32) (log.f32 alpha))
#s(literal 2 binary32)
(log.f32 alpha)
(/.f32 #s(approx (+ (* (- alpha 1) alpha) (- alpha 1)) #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
#s(approx (+ (* (- alpha 1) alpha) (- alpha 1)) #s(literal -1 binary32))
(*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)))
(*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))
(log.f32 (*.f32 alpha alpha))
(*.f32 alpha alpha)
#s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))
#s(literal 1 binary32)
(/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 alpha alpha)) (PI.f32)) (*.f32 #s(approx (neg (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) #s(literal -1 binary32)) (log.f32 (*.f32 alpha alpha))))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 alpha alpha)) (PI.f32))
(-.f32 #s(literal 1 binary32) (*.f32 alpha alpha))
(*.f32 #s(approx (neg (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) #s(literal -1 binary32)) (log.f32 (*.f32 alpha alpha)))
#s(approx (neg (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) #s(literal -1 binary32))
(/.f32 #s(approx (/ (- 1 (* alpha alpha)) (PI)) (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 (neg.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))) (log.f32 (*.f32 alpha alpha))))
#s(approx (/ (- 1 (* alpha alpha)) (PI)) (/.f32 #s(literal 1 binary32) (PI.f32)))
(/.f32 #s(literal 1 binary32) (PI.f32))
(*.f32 (neg.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))) (log.f32 (*.f32 alpha alpha)))
(neg.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))
(fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))
(/.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha (-.f32 alpha #s(literal 1 binary32))) (log.f32 (pow.f32 (*.f32 alpha alpha) #s(approx (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI)) (PI.f32)))))
(fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha (-.f32 alpha #s(literal 1 binary32)))
(-.f32 alpha #s(literal 1 binary32))
(log.f32 (pow.f32 (*.f32 alpha alpha) #s(approx (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI)) (PI.f32))))
(pow.f32 (*.f32 alpha alpha) #s(approx (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI)) (PI.f32)))
#s(approx (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI)) (PI.f32))
Outputs
#s(approx (/ (+ (* alpha alpha) -1) (* (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI)) (log (* alpha alpha)))) (/.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))))))
#s(approx (/ (+ (* alpha alpha) -1) (* (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI)) (log (* alpha alpha)))) (-.f32 (fma.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)))))))
#s(approx (/ (+ (* alpha alpha) -1) (* (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI)) (log (* alpha alpha)))) (-.f32 (fma.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)))))))
#s(approx (/ (+ (* alpha alpha) -1) (* (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI)) (log (* alpha alpha)))) (-.f32 (fma.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)))))))
#s(approx (* (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI)) (log (* alpha alpha))) (*.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32)))))
#s(approx (* (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI)) (log (* alpha alpha))) (fma.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32))) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 (pow.f32 alpha #s(literal 2 binary32))) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)))))))
#s(approx (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI)) (PI.f32))
#s(approx (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI)) (+.f32 (PI.f32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32))))))
#s(approx (* (PI) (* cosTheta cosTheta)) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (PI.f32)))
#s(approx (* cosTheta cosTheta) (pow.f32 cosTheta #s(literal 2 binary32)))
#s(approx cosTheta cosTheta)
#s(approx (/ (+ (* (- alpha 1) alpha) (- alpha 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (-.f32 (+.f32 alpha (*.f32 alpha (-.f32 alpha #s(literal 1 binary32)))) #s(literal 1 binary32)) (*.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32))))))
#s(approx (/ (+ (* (- alpha 1) alpha) (- alpha 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (-.f32 (+.f32 alpha (*.f32 alpha (-.f32 alpha #s(literal 1 binary32)))) #s(literal 1 binary32)) (-.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 alpha (*.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32))))) (/.f32 (*.f32 alpha (-.f32 alpha #s(literal 1 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)))))))
#s(approx (/ (+ (* (- alpha 1) alpha) (- alpha 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (-.f32 (fma.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (/.f32 (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (-.f32 (+.f32 alpha (*.f32 alpha (-.f32 alpha #s(literal 1 binary32)))) #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 (pow.f32 alpha #s(literal 2 binary32))))) (/.f32 (*.f32 (-.f32 (+.f32 alpha (*.f32 alpha (-.f32 alpha #s(literal 1 binary32)))) #s(literal 1 binary32)) (-.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 alpha (*.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32))))) (/.f32 (*.f32 alpha (-.f32 alpha #s(literal 1 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)))))))
#s(approx (/ (+ (* (- alpha 1) alpha) (- alpha 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (-.f32 (fma.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)) (*.f32 (-.f32 (+.f32 alpha (*.f32 alpha (-.f32 alpha #s(literal 1 binary32)))) #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 (pow.f32 alpha #s(literal 2 binary32)))))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 (-.f32 (+.f32 alpha (*.f32 alpha (-.f32 alpha #s(literal 1 binary32)))) #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 (pow.f32 alpha #s(literal 2 binary32)))))))) (/.f32 (*.f32 (-.f32 (+.f32 alpha (*.f32 alpha (-.f32 alpha #s(literal 1 binary32)))) #s(literal 1 binary32)) (-.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 alpha (*.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32))))) (/.f32 (*.f32 alpha (-.f32 alpha #s(literal 1 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)))))))
#s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))
#s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)))))
#s(approx (/ (/ (- 1 (* alpha alpha)) (PI)) (* (neg (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (log (* alpha alpha)))) (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 2 binary32))) (*.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32)))))))
#s(approx (/ (/ (- 1 (* alpha alpha)) (PI)) (* (neg (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (log (* alpha alpha)))) (fma.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 2 binary32))) (*.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32))))) (/.f32 (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 2 binary32))) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)))) (*.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32)))))))
#s(approx (/ (/ (- 1 (* alpha alpha)) (PI)) (* (neg (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (log (* alpha alpha)))) (fma.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 2 binary32))) (*.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32))))) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) (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 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32))))) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 2 binary32))) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32))) (*.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32)))))))))
#s(approx (/ (/ (- 1 (* alpha alpha)) (PI)) (* (neg (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (log (* alpha alpha)))) (fma.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 2 binary32))) (*.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32))))) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (fma.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (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 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32))))) (/.f32 (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) (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)))) (*.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32)))))) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 2 binary32))) (-.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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#s(approx alpha alpha)
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Calls

6 calls:

TimeVariablePointExpression
61.0ms
alpha
@inf
((/ (+ (* alpha alpha) -1) (* (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI)) (log (* alpha alpha)))) (+ (* alpha alpha) -1) alpha -1 (* (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI)) (log (* alpha alpha))) (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI)) (* (PI) (* cosTheta cosTheta)) (PI) (* cosTheta cosTheta) cosTheta (log (* alpha alpha)) (* 2 (log alpha)) 2 (log alpha) (/ (+ (* (- alpha 1) alpha) (- alpha 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (+ (* (- alpha 1) alpha) (- alpha 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (PI) (log (* alpha alpha))) (log (* alpha alpha)) (* alpha alpha) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) 1 (/ (/ (- 1 (* alpha alpha)) (PI)) (* (neg (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (log (* alpha alpha)))) (/ (- 1 (* alpha alpha)) (PI)) (- 1 (* alpha alpha)) (* (neg (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (log (* alpha alpha))) (neg (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (/ (/ (- 1 (* alpha alpha)) (PI)) (* (neg (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (log (* alpha alpha)))) (/ (- 1 (* alpha alpha)) (PI)) (/ 1 (PI)) (* (neg (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (log (* alpha alpha))) (neg (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (/ (+ (* (- alpha 1) alpha) (- alpha 1)) (log (pow (* alpha alpha) (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI))))) (+ (* (- alpha 1) alpha) (- alpha 1)) (- alpha 1) (log (pow (* alpha alpha) (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI)))) (pow (* alpha alpha) (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI))) (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI)))
50.0ms
cosTheta
@-inf
((/ (+ (* alpha alpha) -1) (* (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI)) (log (* alpha alpha)))) (+ (* alpha alpha) -1) alpha -1 (* (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI)) (log (* alpha alpha))) (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI)) (* (PI) (* cosTheta cosTheta)) (PI) (* cosTheta cosTheta) cosTheta (log (* alpha alpha)) (* 2 (log alpha)) 2 (log alpha) (/ (+ (* (- alpha 1) alpha) (- alpha 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (+ (* (- alpha 1) alpha) (- alpha 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (PI) (log (* alpha alpha))) (log (* alpha alpha)) (* alpha alpha) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) 1 (/ (/ (- 1 (* alpha alpha)) (PI)) (* (neg (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (log (* alpha alpha)))) (/ (- 1 (* alpha alpha)) (PI)) (- 1 (* alpha alpha)) (* (neg (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (log (* alpha alpha))) (neg (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (/ (/ (- 1 (* alpha alpha)) (PI)) (* (neg (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (log (* alpha alpha)))) (/ (- 1 (* alpha alpha)) (PI)) (/ 1 (PI)) (* (neg (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (log (* alpha alpha))) (neg (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (/ (+ (* (- alpha 1) alpha) (- alpha 1)) (log (pow (* alpha alpha) (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI))))) (+ (* (- alpha 1) alpha) (- alpha 1)) (- alpha 1) (log (pow (* alpha alpha) (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI)))) (pow (* alpha alpha) (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI))) (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI)))
28.0ms
alpha
@0
((/ (+ (* alpha alpha) -1) (* (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI)) (log (* alpha alpha)))) (+ (* alpha alpha) -1) alpha -1 (* (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI)) (log (* alpha alpha))) (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI)) (* (PI) (* cosTheta cosTheta)) (PI) (* cosTheta cosTheta) cosTheta (log (* alpha alpha)) (* 2 (log alpha)) 2 (log alpha) (/ (+ (* (- alpha 1) alpha) (- alpha 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (+ (* (- alpha 1) alpha) (- alpha 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (PI) (log (* alpha alpha))) (log (* alpha alpha)) (* alpha alpha) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) 1 (/ (/ (- 1 (* alpha alpha)) (PI)) (* (neg (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (log (* alpha alpha)))) (/ (- 1 (* alpha alpha)) (PI)) (- 1 (* alpha alpha)) (* (neg (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (log (* alpha alpha))) (neg (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (/ (/ (- 1 (* alpha alpha)) (PI)) (* (neg (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (log (* alpha alpha)))) (/ (- 1 (* alpha alpha)) (PI)) (/ 1 (PI)) (* (neg (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (log (* alpha alpha))) (neg (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (/ (+ (* (- alpha 1) alpha) (- alpha 1)) (log (pow (* alpha alpha) (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI))))) (+ (* (- alpha 1) alpha) (- alpha 1)) (- alpha 1) (log (pow (* alpha alpha) (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI)))) (pow (* alpha alpha) (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI))) (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI)))
27.0ms
alpha
@-inf
((/ (+ (* alpha alpha) -1) (* (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI)) (log (* alpha alpha)))) (+ (* alpha alpha) -1) alpha -1 (* (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI)) (log (* alpha alpha))) (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI)) (* (PI) (* cosTheta cosTheta)) (PI) (* cosTheta cosTheta) cosTheta (log (* alpha alpha)) (* 2 (log alpha)) 2 (log alpha) (/ (+ (* (- alpha 1) alpha) (- alpha 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (+ (* (- alpha 1) alpha) (- alpha 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (PI) (log (* alpha alpha))) (log (* alpha alpha)) (* alpha alpha) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) 1 (/ (/ (- 1 (* alpha alpha)) (PI)) (* (neg (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (log (* alpha alpha)))) (/ (- 1 (* alpha alpha)) (PI)) (- 1 (* alpha alpha)) (* (neg (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (log (* alpha alpha))) (neg (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (/ (/ (- 1 (* alpha alpha)) (PI)) (* (neg (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (log (* alpha alpha)))) (/ (- 1 (* alpha alpha)) (PI)) (/ 1 (PI)) (* (neg (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (log (* alpha alpha))) (neg (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (/ (+ (* (- alpha 1) alpha) (- alpha 1)) (log (pow (* alpha alpha) (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI))))) (+ (* (- alpha 1) alpha) (- alpha 1)) (- alpha 1) (log (pow (* alpha alpha) (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI)))) (pow (* alpha alpha) (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI))) (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI)))
17.0ms
cosTheta
@inf
((/ (+ (* alpha alpha) -1) (* (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI)) (log (* alpha alpha)))) (+ (* alpha alpha) -1) alpha -1 (* (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI)) (log (* alpha alpha))) (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI)) (* (PI) (* cosTheta cosTheta)) (PI) (* cosTheta cosTheta) cosTheta (log (* alpha alpha)) (* 2 (log alpha)) 2 (log alpha) (/ (+ (* (- alpha 1) alpha) (- alpha 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (+ (* (- alpha 1) alpha) (- alpha 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (PI) (log (* alpha alpha))) (log (* alpha alpha)) (* alpha alpha) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) 1 (/ (/ (- 1 (* alpha alpha)) (PI)) (* (neg (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (log (* alpha alpha)))) (/ (- 1 (* alpha alpha)) (PI)) (- 1 (* alpha alpha)) (* (neg (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (log (* alpha alpha))) (neg (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (/ (/ (- 1 (* alpha alpha)) (PI)) (* (neg (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (log (* alpha alpha)))) (/ (- 1 (* alpha alpha)) (PI)) (/ 1 (PI)) (* (neg (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (log (* alpha alpha))) (neg (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (/ (+ (* (- alpha 1) alpha) (- alpha 1)) (log (pow (* alpha alpha) (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI))))) (+ (* (- alpha 1) alpha) (- alpha 1)) (- alpha 1) (log (pow (* alpha alpha) (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI)))) (pow (* alpha alpha) (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI))) (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI)))

rewrite981.0ms (7.3%)

Memory
58.9MiB live, 886.9MiB allocated; 309ms collecting garbage
Counts
39 → 468
Calls
Call 1
Inputs
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) #s(approx (log (* alpha alpha)) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))))
(fma.f32 alpha alpha #s(literal -1 binary32))
alpha
#s(literal -1 binary32)
(*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) #s(approx (log (* alpha alpha)) (*.f32 #s(literal 2 binary32) (log.f32 alpha))))
(fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32))
(*.f32 (PI.f32) (*.f32 cosTheta cosTheta))
(PI.f32)
(*.f32 cosTheta cosTheta)
cosTheta
#s(approx (log (* alpha alpha)) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))
(*.f32 #s(literal 2 binary32) (log.f32 alpha))
#s(literal 2 binary32)
(log.f32 alpha)
(/.f32 #s(approx (+ (* (- alpha 1) alpha) (- alpha 1)) #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
#s(approx (+ (* (- alpha 1) alpha) (- alpha 1)) #s(literal -1 binary32))
(*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)))
(*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))
(log.f32 (*.f32 alpha alpha))
(*.f32 alpha alpha)
#s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))
#s(literal 1 binary32)
(/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 alpha alpha)) (PI.f32)) (*.f32 #s(approx (neg (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) #s(literal -1 binary32)) (log.f32 (*.f32 alpha alpha))))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 alpha alpha)) (PI.f32))
(-.f32 #s(literal 1 binary32) (*.f32 alpha alpha))
(*.f32 #s(approx (neg (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) #s(literal -1 binary32)) (log.f32 (*.f32 alpha alpha)))
#s(approx (neg (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) #s(literal -1 binary32))
(/.f32 #s(approx (/ (- 1 (* alpha alpha)) (PI)) (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 (neg.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))) (log.f32 (*.f32 alpha alpha))))
#s(approx (/ (- 1 (* alpha alpha)) (PI)) (/.f32 #s(literal 1 binary32) (PI.f32)))
(/.f32 #s(literal 1 binary32) (PI.f32))
(*.f32 (neg.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))) (log.f32 (*.f32 alpha alpha)))
(neg.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))
(fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))
(/.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha (-.f32 alpha #s(literal 1 binary32))) (log.f32 (pow.f32 (*.f32 alpha alpha) #s(approx (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI)) (PI.f32)))))
(fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha (-.f32 alpha #s(literal 1 binary32)))
(-.f32 alpha #s(literal 1 binary32))
(log.f32 (pow.f32 (*.f32 alpha alpha) #s(approx (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI)) (PI.f32))))
(pow.f32 (*.f32 alpha alpha) #s(approx (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI)) (PI.f32)))
#s(approx (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI)) (PI.f32))
Outputs
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) #s(approx (log (* alpha alpha)) (log.f32 (*.f32 alpha alpha)))))
(*.f32 (+.f32 alpha #s(literal 1 binary32)) (-.f32 alpha #s(literal 1 binary32)))
(*.f32 (-.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal 1 binary32)))
(*.f32 (+.f32 (fabs.f32 alpha) #s(literal 1 binary32)) (-.f32 (fabs.f32 alpha) #s(literal 1 binary32)))
(*.f32 (+.f32 (neg.f32 alpha) #s(literal 1 binary32)) (-.f32 (neg.f32 alpha) #s(literal 1 binary32)))
(+.f32 (*.f32 alpha alpha) #s(literal -1 binary32))
(+.f32 (*.f32 alpha alpha) (neg.f32 #s(literal 1 binary32)))
(+.f32 (neg.f32 #s(literal 1 binary32)) (*.f32 alpha alpha))
(+.f32 #s(literal -1 binary32) (*.f32 alpha alpha))
(+.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha alpha) (neg.f32 #s(literal 1 binary32)))
(+.f32 (*.f32 (-.f32 alpha #s(literal 1 binary32)) alpha) (-.f32 alpha #s(literal 1 binary32)))
(+.f32 (*.f32 alpha (+.f32 alpha #s(literal 1 binary32))) (*.f32 (neg.f32 #s(literal 1 binary32)) (+.f32 alpha #s(literal 1 binary32))))
(+.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) alpha) (*.f32 (+.f32 alpha #s(literal 1 binary32)) (neg.f32 #s(literal 1 binary32))))
(+.f32 (*.f32 alpha alpha) (neg.f32 (neg.f32 #s(literal -1 binary32))))
(+.f32 (-.f32 alpha #s(literal 1 binary32)) (*.f32 (-.f32 alpha #s(literal 1 binary32)) alpha))
(+.f32 alpha (+.f32 (neg.f32 #s(literal 1 binary32)) (*.f32 (-.f32 alpha #s(literal 1 binary32)) alpha)))
(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))
(-.f32 (*.f32 alpha alpha) (neg.f32 #s(literal -1 binary32)))
(-.f32 (*.f32 alpha alpha) (*.f32 #s(literal 1 binary32) #s(literal 1 binary32)))
(-.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha alpha) #s(literal 1 binary32))
(-.f32 (*.f32 (-.f32 alpha #s(literal 1 binary32)) alpha) (-.f32 #s(literal 1 binary32) alpha))
(-.f32 #s(literal -1 binary32) (neg.f32 (*.f32 alpha alpha)))
(-.f32 (*.f32 alpha alpha) (neg.f32 (neg.f32 #s(literal 1 binary32))))
(-.f32 (-.f32 alpha #s(literal 1 binary32)) (*.f32 (neg.f32 alpha) (-.f32 alpha #s(literal 1 binary32))))
(-.f32 (-.f32 alpha #s(literal 1 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) alpha) alpha))
(-.f32 (-.f32 alpha #s(literal 1 binary32)) (neg.f32 (*.f32 (-.f32 alpha #s(literal 1 binary32)) alpha)))
(-.f32 alpha (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 alpha #s(literal 1 binary32)) alpha)))
(fma.f32 alpha alpha #s(literal -1 binary32))
(fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha (-.f32 alpha #s(literal 1 binary32)))
(fma.f32 (fabs.f32 alpha) (fabs.f32 alpha) #s(literal -1 binary32))
(fma.f32 (fabs.f32 alpha) (fabs.f32 alpha) (neg.f32 #s(literal 1 binary32)))
(fma.f32 (neg.f32 alpha) (neg.f32 alpha) #s(literal -1 binary32))
(fma.f32 (neg.f32 alpha) (neg.f32 alpha) (neg.f32 #s(literal 1 binary32)))
(fma.f32 alpha (-.f32 alpha #s(literal 1 binary32)) (-.f32 alpha #s(literal 1 binary32)))
(fma.f32 alpha alpha (neg.f32 #s(literal 1 binary32)))
(fma.f32 (neg.f32 (neg.f32 alpha)) (neg.f32 (neg.f32 alpha)) #s(literal -1 binary32))
(fma.f32 (neg.f32 (fabs.f32 alpha)) (neg.f32 (fabs.f32 alpha)) #s(literal -1 binary32))
(fma.f32 (fabs.f32 (fabs.f32 alpha)) (fabs.f32 (fabs.f32 alpha)) #s(literal -1 binary32))
(fma.f32 (neg.f32 (neg.f32 alpha)) (neg.f32 (neg.f32 alpha)) (neg.f32 #s(literal 1 binary32)))
(fma.f32 (neg.f32 (fabs.f32 alpha)) (neg.f32 (fabs.f32 alpha)) (neg.f32 #s(literal 1 binary32)))
(fma.f32 (fabs.f32 (fabs.f32 alpha)) (fabs.f32 (fabs.f32 alpha)) (neg.f32 #s(literal 1 binary32)))
(fma.f32 (neg.f32 (neg.f32 alpha)) (neg.f32 (neg.f32 alpha)) (neg.f32 (neg.f32 #s(literal -1 binary32))))
(fma.f32 (neg.f32 (fabs.f32 alpha)) (neg.f32 (fabs.f32 alpha)) (neg.f32 (neg.f32 #s(literal -1 binary32))))
(fma.f32 (fabs.f32 (fabs.f32 alpha)) (fabs.f32 (fabs.f32 alpha)) (neg.f32 (neg.f32 #s(literal -1 binary32))))
(fma.f32 (+.f32 (-.f32 alpha #s(literal 1 binary32)) #s(literal 1 binary32)) alpha (neg.f32 #s(literal 1 binary32)))
(fma.f32 alpha alpha (neg.f32 (neg.f32 #s(literal -1 binary32))))
(fma.f32 (+.f32 alpha #s(literal 1 binary32)) alpha (*.f32 (+.f32 alpha #s(literal 1 binary32)) (neg.f32 #s(literal 1 binary32))))
(fma.f32 (fabs.f32 alpha) (fabs.f32 alpha) (neg.f32 (neg.f32 #s(literal -1 binary32))))
(fma.f32 alpha (+.f32 alpha #s(literal 1 binary32)) (*.f32 (neg.f32 #s(literal 1 binary32)) (+.f32 alpha #s(literal 1 binary32))))
(fma.f32 (neg.f32 alpha) (neg.f32 alpha) (neg.f32 (neg.f32 #s(literal -1 binary32))))
(neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 alpha alpha)))
alpha
#s(literal -1 binary32)
(*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) #s(approx (log (* alpha alpha)) (log.f32 (*.f32 alpha alpha))))
(+.f32 (*.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32))) (PI.f32))
(+.f32 (*.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32))) (neg.f32 (neg.f32 (PI.f32))))
(+.f32 (*.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (*.f32 alpha alpha)) (-.f32 (neg.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))) (neg.f32 (PI.f32))))
(+.f32 (*.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (*.f32 alpha alpha)) (fma.f32 (neg.f32 (*.f32 cosTheta cosTheta)) (PI.f32) (PI.f32)))
(+.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32))))
(+.f32 (+.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (*.f32 alpha alpha))) (neg.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))))
(-.f32 (*.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32))) (neg.f32 (PI.f32)))
(-.f32 (PI.f32) (*.f32 (neg.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))) (fma.f32 alpha alpha #s(literal -1 binary32))))
(-.f32 (PI.f32) (*.f32 (neg.f32 (PI.f32)) (*.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)))))
(-.f32 (PI.f32) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 alpha alpha)) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))))
(-.f32 (PI.f32) (neg.f32 (*.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)))))
(fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32))
(fma.f32 (*.f32 (PI.f32) (fma.f32 alpha alpha #s(literal -1 binary32))) (*.f32 cosTheta cosTheta) (PI.f32))
(fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta (PI.f32))) cosTheta (PI.f32))
(fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (*.f32 cosTheta cosTheta) (PI.f32))
(fma.f32 (*.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32))) (PI.f32) (PI.f32))
(fma.f32 (*.f32 (PI.f32) (fma.f32 alpha alpha #s(literal -1 binary32))) (*.f32 cosTheta cosTheta) (neg.f32 (neg.f32 (PI.f32))))
(fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta (PI.f32))) cosTheta (neg.f32 (neg.f32 (PI.f32))))
(fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (*.f32 cosTheta cosTheta) (neg.f32 (neg.f32 (PI.f32))))
(fma.f32 (*.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32))) (PI.f32) (neg.f32 (neg.f32 (PI.f32))))
(fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (neg.f32 (neg.f32 (PI.f32))))
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(fma.f32 (*.f32 (*.f32 alpha alpha) (PI.f32)) (*.f32 cosTheta cosTheta) (fma.f32 (neg.f32 (*.f32 cosTheta cosTheta)) (PI.f32) (PI.f32)))
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(fma.f32 (*.f32 (*.f32 alpha alpha) (fabs.f32 cosTheta)) (fabs.f32 cosTheta) (-.f32 (neg.f32 (*.f32 cosTheta cosTheta)) (neg.f32 #s(literal 1 binary32))))
(fma.f32 (*.f32 (*.f32 cosTheta cosTheta) (neg.f32 alpha)) (neg.f32 alpha) (-.f32 (neg.f32 (*.f32 cosTheta cosTheta)) (neg.f32 #s(literal 1 binary32))))
(fma.f32 (*.f32 (*.f32 cosTheta cosTheta) (fabs.f32 alpha)) (fabs.f32 alpha) (-.f32 (neg.f32 (*.f32 cosTheta cosTheta)) (neg.f32 #s(literal 1 binary32))))
(fma.f32 (*.f32 (*.f32 alpha alpha) cosTheta) cosTheta (-.f32 (neg.f32 (*.f32 cosTheta cosTheta)) (neg.f32 #s(literal 1 binary32))))
(fma.f32 (*.f32 (*.f32 cosTheta cosTheta) alpha) alpha (-.f32 (neg.f32 (*.f32 cosTheta cosTheta)) (neg.f32 #s(literal 1 binary32))))
(neg.f32 (neg.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (pow.f32 (*.f32 alpha alpha) #s(approx (+ (* (+ (* alpha alpha) -1) (* (PI) (* cosTheta cosTheta))) (PI)) (PI.f32)))))
(*.f32 (+.f32 alpha #s(literal 1 binary32)) (-.f32 alpha #s(literal 1 binary32)))
(*.f32 (-.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal 1 binary32)))
(*.f32 (+.f32 (fabs.f32 alpha) #s(literal 1 binary32)) (-.f32 (fabs.f32 alpha) #s(literal 1 binary32)))
(*.f32 (+.f32 (neg.f32 alpha) #s(literal 1 binary32)) (-.f32 (neg.f32 alpha) #s(literal 1 binary32)))
(+.f32 (*.f32 alpha alpha) #s(literal -1 binary32))
(+.f32 (*.f32 alpha alpha) (neg.f32 #s(literal 1 binary32)))
(+.f32 (neg.f32 #s(literal 1 binary32)) (*.f32 alpha alpha))
(+.f32 #s(literal -1 binary32) (*.f32 alpha alpha))
(+.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha alpha) (neg.f32 #s(literal 1 binary32)))
(+.f32 (*.f32 (-.f32 alpha #s(literal 1 binary32)) alpha) (-.f32 alpha #s(literal 1 binary32)))
(+.f32 (*.f32 alpha (+.f32 alpha #s(literal 1 binary32))) (*.f32 (neg.f32 #s(literal 1 binary32)) (+.f32 alpha #s(literal 1 binary32))))
(+.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) alpha) (*.f32 (+.f32 alpha #s(literal 1 binary32)) (neg.f32 #s(literal 1 binary32))))
(+.f32 (*.f32 alpha alpha) (neg.f32 (neg.f32 #s(literal -1 binary32))))
(+.f32 (-.f32 alpha #s(literal 1 binary32)) (*.f32 (-.f32 alpha #s(literal 1 binary32)) alpha))
(+.f32 alpha (+.f32 (neg.f32 #s(literal 1 binary32)) (*.f32 (-.f32 alpha #s(literal 1 binary32)) alpha)))
(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))
(-.f32 (*.f32 alpha alpha) (neg.f32 #s(literal -1 binary32)))
(-.f32 (*.f32 alpha alpha) (*.f32 #s(literal 1 binary32) #s(literal 1 binary32)))
(-.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha alpha) #s(literal 1 binary32))
(-.f32 (*.f32 (-.f32 alpha #s(literal 1 binary32)) alpha) (-.f32 #s(literal 1 binary32) alpha))
(-.f32 #s(literal -1 binary32) (neg.f32 (*.f32 alpha alpha)))
(-.f32 (*.f32 alpha alpha) (neg.f32 (neg.f32 #s(literal 1 binary32))))
(-.f32 (-.f32 alpha #s(literal 1 binary32)) (*.f32 (neg.f32 alpha) (-.f32 alpha #s(literal 1 binary32))))
(-.f32 (-.f32 alpha #s(literal 1 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) alpha) alpha))
(-.f32 (-.f32 alpha #s(literal 1 binary32)) (neg.f32 (*.f32 (-.f32 alpha #s(literal 1 binary32)) alpha)))
(-.f32 alpha (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 alpha #s(literal 1 binary32)) alpha)))
(fma.f32 alpha alpha #s(literal -1 binary32))
(fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha (-.f32 alpha #s(literal 1 binary32)))
(fma.f32 (fabs.f32 alpha) (fabs.f32 alpha) #s(literal -1 binary32))
(fma.f32 (fabs.f32 alpha) (fabs.f32 alpha) (neg.f32 #s(literal 1 binary32)))
(fma.f32 (neg.f32 alpha) (neg.f32 alpha) #s(literal -1 binary32))
(fma.f32 (neg.f32 alpha) (neg.f32 alpha) (neg.f32 #s(literal 1 binary32)))
(fma.f32 alpha (-.f32 alpha #s(literal 1 binary32)) (-.f32 alpha #s(literal 1 binary32)))
(fma.f32 alpha alpha (neg.f32 #s(literal 1 binary32)))
(fma.f32 (neg.f32 (neg.f32 alpha)) (neg.f32 (neg.f32 alpha)) #s(literal -1 binary32))
(fma.f32 (neg.f32 (fabs.f32 alpha)) (neg.f32 (fabs.f32 alpha)) #s(literal -1 binary32))
(fma.f32 (fabs.f32 (fabs.f32 alpha)) (fabs.f32 (fabs.f32 alpha)) #s(literal -1 binary32))
(fma.f32 (neg.f32 (neg.f32 alpha)) (neg.f32 (neg.f32 alpha)) (neg.f32 #s(literal 1 binary32)))
(fma.f32 (neg.f32 (fabs.f32 alpha)) (neg.f32 (fabs.f32 alpha)) (neg.f32 #s(literal 1 binary32)))
(fma.f32 (fabs.f32 (fabs.f32 alpha)) (fabs.f32 (fabs.f32 alpha)) (neg.f32 #s(literal 1 binary32)))
(fma.f32 (neg.f32 (neg.f32 alpha)) (neg.f32 (neg.f32 alpha)) (neg.f32 (neg.f32 #s(literal -1 binary32))))
(fma.f32 (neg.f32 (fabs.f32 alpha)) (neg.f32 (fabs.f32 alpha)) (neg.f32 (neg.f32 #s(literal -1 binary32))))
(fma.f32 (fabs.f32 (fabs.f32 alpha)) (fabs.f32 (fabs.f32 alpha)) (neg.f32 (neg.f32 #s(literal -1 binary32))))
(fma.f32 (+.f32 (-.f32 alpha #s(literal 1 binary32)) #s(literal 1 binary32)) alpha (neg.f32 #s(literal 1 binary32)))
(fma.f32 alpha alpha (neg.f32 (neg.f32 #s(literal -1 binary32))))
(fma.f32 (+.f32 alpha #s(literal 1 binary32)) alpha (*.f32 (+.f32 alpha #s(literal 1 binary32)) (neg.f32 #s(literal 1 binary32))))
(fma.f32 (fabs.f32 alpha) (fabs.f32 alpha) (neg.f32 (neg.f32 #s(literal -1 binary32))))
(fma.f32 alpha (+.f32 alpha #s(literal 1 binary32)) (*.f32 (neg.f32 #s(literal 1 binary32)) (+.f32 alpha #s(literal 1 binary32))))
(fma.f32 (neg.f32 alpha) (neg.f32 alpha) (neg.f32 (neg.f32 #s(literal -1 binary32))))
(neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 alpha alpha)))
(+.f32 (neg.f32 #s(literal 1 binary32)) alpha)
(+.f32 alpha (neg.f32 #s(literal 1 binary32)))
(-.f32 alpha #s(literal 1 binary32))
(-.f32 alpha (neg.f32 (neg.f32 #s(literal 1 binary32))))
(neg.f32 (-.f32 #s(literal 1 binary32) alpha))
(log.f32 (pow.f32 (*.f32 alpha alpha) #s(approx (+ (* (+ (* alpha alpha) -1) (* (PI) (* cosTheta cosTheta))) (PI)) (PI.f32))))
(pow.f32 (*.f32 alpha alpha) #s(approx (+ (* (+ (* alpha alpha) -1) (* (PI) (* cosTheta cosTheta))) (PI)) (PI.f32)))
#s(approx (+ (* (+ (* alpha alpha) -1) (* (PI) (* cosTheta cosTheta))) (PI)) (PI.f32))

eval70.0ms (0.5%)

Memory
-8.9MiB live, 124.7MiB allocated; 21ms collecting garbage
Compiler

Compiled 11 299 to 3 002 computations (73.4% saved)

prune32.0ms (0.2%)

Memory
21.8MiB live, 67.4MiB allocated; 2ms collecting garbage
Pruning

32 alts after pruning (26 fresh and 6 done)

PrunedKeptTotal
New6458653
Fresh41822
Picked145
Done022
Total65032682
Accuracy
100.0%
Counts
682 → 32
Alt Table
Click to see full alt table
StatusAccuracyProgram
96.1%
(/.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha (-.f32 alpha #s(literal 1 binary32))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
96.3%
(/.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha (-.f32 alpha #s(literal 1 binary32))) (log.f32 (pow.f32 (*.f32 alpha alpha) #s(approx (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI)) (PI.f32)))))
98.6%
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) #s(approx (log (* alpha alpha)) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))))
98.5%
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha))) (PI.f32)))
96.1%
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) #s(approx (log (* alpha alpha)) (*.f32 #s(literal -2 binary32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))) #s(approx (+ 1 (* (- (* alpha (* cosTheta alpha)) cosTheta) cosTheta)) #s(literal 1 binary32))))
96.2%
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 #s(approx (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI)) (PI.f32)) (log.f32 (*.f32 alpha alpha))))
96.2%
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 #s(approx (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI)) (PI.f32)) #s(approx (log (* alpha alpha)) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))))
96.5%
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (pow.f32 (*.f32 alpha alpha) #s(approx (+ (* (+ (* alpha alpha) -1) (* (PI) (* cosTheta cosTheta))) (PI)) (PI.f32)))))
98.5%
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32))) (log.f32 (*.f32 alpha alpha)))
98.4%
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha)))) (PI.f32))
95.8%
(/.f32 (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (PI.f32) (*.f32 alpha alpha))) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(approx (neg (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) #s(literal -1 binary32)) (log.f32 (*.f32 alpha alpha))))
96.2%
(/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 alpha alpha)) (PI.f32)) (*.f32 #s(approx (neg (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) #s(literal -1 binary32)) (log.f32 (*.f32 alpha alpha))))
96.0%
(/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (*.f32 alpha alpha) (PI.f32))) (*.f32 #s(approx (neg (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) #s(literal -1 binary32)) (log.f32 (*.f32 alpha alpha))))
98.0%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (*.f32 #s(literal -1 binary32) cosTheta)) cosTheta))))
96.2%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) #s(approx (log (* alpha alpha)) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
98.1%
(/.f32 (-.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) alpha) alpha)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (neg.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))) (log.f32 (*.f32 alpha alpha)))))
95.6%
(/.f32 (-.f32 alpha (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 alpha #s(literal 1 binary32)) alpha))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
96.0%
(/.f32 (*.f32 (-.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal 1 binary32))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
95.7%
(/.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (neg.f32 (PI.f32)))) (*.f32 #s(approx (neg (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) #s(literal -1 binary32)) (log.f32 (*.f32 alpha alpha))))
66.6%
(/.f32 #s(approx (/ (- 1 (* alpha alpha)) (PI)) (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 (*.f32 (neg.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))) (log.f32 alpha)) #s(literal 2 binary32)))
66.6%
(/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) cosTheta) cosTheta))))
65.5%
(/.f32 #s(approx (+ (* (- alpha 1) alpha) (- alpha 1)) #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
65.4%
(/.f32 #s(approx (+ (* (- alpha 1) alpha) (- alpha 1)) #s(literal -1 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (log.f32 alpha) (PI.f32))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
65.5%
(/.f32 #s(approx (+ (* (- alpha 1) alpha) (- alpha 1)) #s(literal -1 binary32)) (*.f32 (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
98.4%
(*.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32))) #s(approx (/ 1 (log (* alpha alpha))) (/.f32 #s(literal 1/2 binary32) (log.f32 alpha))))
98.2%
(*.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32))) #s(approx (/ 1 (log (* alpha alpha))) (/.f32 #s(literal -1/2 binary32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))
96.0%
(*.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(approx (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI)) (PI.f32))) (/.f32 #s(literal 1 binary32) (log.f32 (*.f32 alpha alpha))))
98.0%
(*.f32 (/.f32 (-.f32 alpha #s(literal 1 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))) (/.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))))
97.9%
(*.f32 (/.f32 (-.f32 alpha #s(literal 1 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))) #s(approx (/ (+ alpha 1) (* (PI) (log (* alpha alpha)))) (*.f32 #s(literal -1 binary32) (*.f32 alpha (fma.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))))))))))
98.2%
(*.f32 (/.f32 (-.f32 alpha #s(literal 1 binary32)) (*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))) (+.f32 alpha #s(literal 1 binary32)))
98.0%
(*.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 (/.f32 (-.f32 alpha #s(literal 1 binary32)) (fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32))) (/.f32 #s(literal 1 binary32) (log.f32 (*.f32 alpha alpha)))))
95.8%
(*.f32 #s(approx (/ (- alpha 1) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (-.f32 alpha #s(literal 1 binary32))) (/.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))))
Compiler

Compiled 1 274 to 855 computations (32.9% saved)

regimes66.0ms (0.5%)

Memory
24.4MiB live, 111.3MiB allocated; 5ms collecting garbage
Counts
59 → 1
Calls
Call 1
Inputs
(/.f32 #s(approx (+ (* (- alpha 1) alpha) (- alpha 1)) #s(literal -1 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (log.f32 alpha) (PI.f32))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(/.f32 #s(approx (+ (* (- alpha 1) alpha) (- alpha 1)) #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 #s(approx (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI)) (PI.f32)) #s(approx (log (* alpha alpha)) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 #s(approx (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI)) (PI.f32)) (log.f32 (*.f32 alpha alpha))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) #s(approx (log (* alpha alpha)) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))) #s(approx (+ 1 (* (- (* alpha (* cosTheta alpha)) cosTheta) cosTheta)) #s(literal 1 binary32))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (- (* alpha (* cosTheta alpha)) cosTheta) cosTheta)) #s(literal 1 binary32))))
(*.f32 #s(approx (/ (- alpha 1) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (-.f32 alpha #s(literal 1 binary32))) (/.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) #s(approx (log (* alpha alpha)) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(*.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(approx (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI)) (PI.f32))) (/.f32 #s(literal 1 binary32) (log.f32 (*.f32 alpha alpha))))
(/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 alpha alpha)) (PI.f32)) (*.f32 #s(approx (neg (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) #s(literal -1 binary32)) (log.f32 (*.f32 alpha alpha))))
(/.f32 (*.f32 (-.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal 1 binary32))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) cosTheta) cosTheta))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) #s(approx (log (* alpha alpha)) (*.f32 #s(literal -2 binary32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))) #s(approx (+ 1 (* (- (* alpha (* cosTheta alpha)) cosTheta) cosTheta)) #s(literal 1 binary32))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) #s(approx (log (* alpha alpha)) (*.f32 #s(literal -2 binary32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(/.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (neg.f32 (PI.f32)))) (*.f32 #s(approx (neg (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) #s(literal -1 binary32)) (log.f32 (*.f32 alpha alpha))))
(/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (*.f32 alpha alpha) (PI.f32))) (*.f32 #s(approx (neg (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) #s(literal -1 binary32)) (log.f32 (*.f32 alpha alpha))))
(/.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha (-.f32 alpha #s(literal 1 binary32))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(/.f32 (-.f32 alpha (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 alpha #s(literal 1 binary32)) alpha))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(/.f32 (+.f32 (-.f32 alpha #s(literal 1 binary32)) (*.f32 (-.f32 alpha #s(literal 1 binary32)) alpha)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(/.f32 #s(approx (+ (* (- alpha 1) alpha) (- alpha 1)) #s(literal -1 binary32)) (*.f32 (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) 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 #s(approx (* (- (* alpha alpha) 1) cosTheta) (*.f32 #s(literal -1 binary32) cosTheta)) cosTheta))))
(/.f32 (fma.f32 (+.f32 alpha #s(literal 1 binary32)) alpha (*.f32 (+.f32 alpha #s(literal 1 binary32)) (neg.f32 #s(literal 1 binary32)))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(/.f32 (+.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) alpha) (*.f32 (+.f32 alpha #s(literal 1 binary32)) (neg.f32 #s(literal 1 binary32)))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(/.f32 #s(approx (/ (- 1 (* alpha alpha)) (PI)) (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 (*.f32 (neg.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))) (log.f32 alpha)) #s(literal 2 binary32)))
(/.f32 #s(approx (/ (- 1 (* alpha alpha)) (PI)) (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 (neg.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))) (log.f32 (*.f32 alpha alpha))))
(/.f32 (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (PI.f32) (*.f32 alpha alpha))) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(approx (neg (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) #s(literal -1 binary32)) (log.f32 (*.f32 alpha alpha))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (pow.f32 (*.f32 alpha alpha) #s(approx (+ (* (+ (* alpha alpha) -1) (* (PI) (* cosTheta cosTheta))) (PI)) (PI.f32)))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (*.f32 alpha alpha) #s(approx (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI)) (PI.f32)))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) #s(approx (log (* alpha alpha)) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha))) (PI.f32)))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha))) (PI.f32)))
(*.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32))) #s(approx (/ 1 (log (* alpha alpha))) (/.f32 #s(literal 1/2 binary32) (log.f32 alpha))))
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha)))) (PI.f32))
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32))) (log.f32 (*.f32 alpha alpha)))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) #s(approx (log (* alpha alpha)) (*.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) (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 #s(literal 1 binary32) (*.f32 alpha alpha)) (PI.f32)) (*.f32 (neg.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))) (log.f32 (*.f32 alpha alpha))))
(/.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha (-.f32 alpha #s(literal 1 binary32))) (log.f32 (pow.f32 (*.f32 alpha alpha) #s(approx (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI)) (PI.f32)))))
(*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))))
(*.f32 (-.f32 alpha #s(literal 1 binary32)) (/.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))))
(*.f32 (/.f32 (-.f32 alpha #s(literal 1 binary32)) (*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))) (+.f32 alpha #s(literal 1 binary32)))
(*.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32))) (/.f32 #s(literal 1 binary32) (log.f32 (*.f32 alpha alpha))))
(*.f32 (/.f32 (-.f32 alpha #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha))) (/.f32 (+.f32 alpha #s(literal 1 binary32)) (fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32))))
(*.f32 (/.f32 (-.f32 alpha #s(literal 1 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))) (/.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))))
(/.f32 (*.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (PI.f32)) (-.f32 alpha #s(literal 1 binary32))) (*.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha))))
(*.f32 (/.f32 (neg.f32 #s(literal 1 binary32)) (*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))) (-.f32 #s(literal 1 binary32) (*.f32 alpha alpha)))
(*.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32))) #s(approx (/ 1 (log (* alpha alpha))) (/.f32 #s(literal -1/2 binary32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))
(*.f32 (/.f32 (-.f32 alpha #s(literal 1 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))) (/.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha))) (PI.f32)))
(/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (*.f32 alpha alpha) (PI.f32))) (*.f32 (neg.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))) (log.f32 (*.f32 alpha alpha))))
(*.f32 (-.f32 alpha #s(literal 1 binary32)) (*.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha))))))
(*.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 (/.f32 (-.f32 alpha #s(literal 1 binary32)) (fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32))) (/.f32 #s(literal 1 binary32) (log.f32 (*.f32 alpha alpha)))))
(/.f32 (-.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) alpha) alpha)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (neg.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))) (log.f32 (*.f32 alpha alpha)))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (*.f32 alpha alpha) (fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)))))
(/.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha (-.f32 alpha #s(literal 1 binary32))) (log.f32 (pow.f32 (*.f32 alpha alpha) (fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)))))
(fma.f32 (/.f32 alpha (*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))) alpha (/.f32 #s(literal -1 binary32) (*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))))
(*.f32 (/.f32 (-.f32 alpha #s(literal 1 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))) #s(approx (/ (+ alpha 1) (* (PI) (log (* alpha alpha)))) (*.f32 #s(literal -1 binary32) (*.f32 alpha (fma.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))))))))))
(/.f32 (-.f32 (*.f32 (/.f32 (*.f32 alpha alpha) (*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))) (PI.f32)) (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha))))) (PI.f32))
Outputs
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (*.f32 alpha alpha) (fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)))))
Calls

4 calls:

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))))
16.0ms
alpha
14.0ms
(*.f32 alpha alpha)
14.0ms
cosTheta
Results
AccuracySegmentsBranch
98.9%1(*.f32 alpha alpha)
98.9%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))))
98.9%1cosTheta
98.9%1alpha
Compiler

Compiled 22 to 20 computations (9.1% saved)

regimes63.0ms (0.5%)

Memory
5.3MiB live, 100.8MiB allocated; 11ms collecting garbage
Counts
54 → 1
Calls
Call 1
Inputs
(/.f32 #s(approx (+ (* (- alpha 1) alpha) (- alpha 1)) #s(literal -1 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (log.f32 alpha) (PI.f32))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(/.f32 #s(approx (+ (* (- alpha 1) alpha) (- alpha 1)) #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 #s(approx (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI)) (PI.f32)) #s(approx (log (* alpha alpha)) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 #s(approx (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI)) (PI.f32)) (log.f32 (*.f32 alpha alpha))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) #s(approx (log (* alpha alpha)) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))) #s(approx (+ 1 (* (- (* alpha (* cosTheta alpha)) cosTheta) cosTheta)) #s(literal 1 binary32))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (- (* alpha (* cosTheta alpha)) cosTheta) cosTheta)) #s(literal 1 binary32))))
(*.f32 #s(approx (/ (- alpha 1) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (-.f32 alpha #s(literal 1 binary32))) (/.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) #s(approx (log (* alpha alpha)) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(*.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(approx (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI)) (PI.f32))) (/.f32 #s(literal 1 binary32) (log.f32 (*.f32 alpha alpha))))
(/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 alpha alpha)) (PI.f32)) (*.f32 #s(approx (neg (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) #s(literal -1 binary32)) (log.f32 (*.f32 alpha alpha))))
(/.f32 (*.f32 (-.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal 1 binary32))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) cosTheta) cosTheta))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) #s(approx (log (* alpha alpha)) (*.f32 #s(literal -2 binary32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))) #s(approx (+ 1 (* (- (* alpha (* cosTheta alpha)) cosTheta) cosTheta)) #s(literal 1 binary32))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) #s(approx (log (* alpha alpha)) (*.f32 #s(literal -2 binary32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(/.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (neg.f32 (PI.f32)))) (*.f32 #s(approx (neg (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) #s(literal -1 binary32)) (log.f32 (*.f32 alpha alpha))))
(/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (*.f32 alpha alpha) (PI.f32))) (*.f32 #s(approx (neg (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) #s(literal -1 binary32)) (log.f32 (*.f32 alpha alpha))))
(/.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha (-.f32 alpha #s(literal 1 binary32))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(/.f32 (-.f32 alpha (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 alpha #s(literal 1 binary32)) alpha))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(/.f32 (+.f32 (-.f32 alpha #s(literal 1 binary32)) (*.f32 (-.f32 alpha #s(literal 1 binary32)) alpha)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(/.f32 #s(approx (+ (* (- alpha 1) alpha) (- alpha 1)) #s(literal -1 binary32)) (*.f32 (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) 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 #s(approx (* (- (* alpha alpha) 1) cosTheta) (*.f32 #s(literal -1 binary32) cosTheta)) cosTheta))))
(/.f32 (fma.f32 (+.f32 alpha #s(literal 1 binary32)) alpha (*.f32 (+.f32 alpha #s(literal 1 binary32)) (neg.f32 #s(literal 1 binary32)))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(/.f32 (+.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) alpha) (*.f32 (+.f32 alpha #s(literal 1 binary32)) (neg.f32 #s(literal 1 binary32)))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(/.f32 #s(approx (/ (- 1 (* alpha alpha)) (PI)) (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 (*.f32 (neg.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))) (log.f32 alpha)) #s(literal 2 binary32)))
(/.f32 #s(approx (/ (- 1 (* alpha alpha)) (PI)) (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 (neg.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))) (log.f32 (*.f32 alpha alpha))))
(/.f32 (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (PI.f32) (*.f32 alpha alpha))) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(approx (neg (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) #s(literal -1 binary32)) (log.f32 (*.f32 alpha alpha))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (pow.f32 (*.f32 alpha alpha) #s(approx (+ (* (+ (* alpha alpha) -1) (* (PI) (* cosTheta cosTheta))) (PI)) (PI.f32)))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (*.f32 alpha alpha) #s(approx (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI)) (PI.f32)))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) #s(approx (log (* alpha alpha)) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha))) (PI.f32)))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha))) (PI.f32)))
(*.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32))) #s(approx (/ 1 (log (* alpha alpha))) (/.f32 #s(literal 1/2 binary32) (log.f32 alpha))))
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha)))) (PI.f32))
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32))) (log.f32 (*.f32 alpha alpha)))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) #s(approx (log (* alpha alpha)) (*.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) (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 #s(literal 1 binary32) (*.f32 alpha alpha)) (PI.f32)) (*.f32 (neg.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))) (log.f32 (*.f32 alpha alpha))))
(/.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha (-.f32 alpha #s(literal 1 binary32))) (log.f32 (pow.f32 (*.f32 alpha alpha) #s(approx (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI)) (PI.f32)))))
(*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))))
(*.f32 (-.f32 alpha #s(literal 1 binary32)) (/.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))))
(*.f32 (/.f32 (-.f32 alpha #s(literal 1 binary32)) (*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))) (+.f32 alpha #s(literal 1 binary32)))
(*.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32))) (/.f32 #s(literal 1 binary32) (log.f32 (*.f32 alpha alpha))))
(*.f32 (/.f32 (-.f32 alpha #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha))) (/.f32 (+.f32 alpha #s(literal 1 binary32)) (fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32))))
(*.f32 (/.f32 (-.f32 alpha #s(literal 1 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))) (/.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))))
(/.f32 (*.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (PI.f32)) (-.f32 alpha #s(literal 1 binary32))) (*.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha))))
(*.f32 (/.f32 (neg.f32 #s(literal 1 binary32)) (*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))) (-.f32 #s(literal 1 binary32) (*.f32 alpha alpha)))
(*.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32))) #s(approx (/ 1 (log (* alpha alpha))) (/.f32 #s(literal -1/2 binary32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))
(*.f32 (/.f32 (-.f32 alpha #s(literal 1 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))) (/.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha))) (PI.f32)))
(/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (*.f32 alpha alpha) (PI.f32))) (*.f32 (neg.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))) (log.f32 (*.f32 alpha alpha))))
(*.f32 (-.f32 alpha #s(literal 1 binary32)) (*.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha))))))
(*.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 (/.f32 (-.f32 alpha #s(literal 1 binary32)) (fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32))) (/.f32 #s(literal 1 binary32) (log.f32 (*.f32 alpha alpha)))))
(/.f32 (-.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) alpha) alpha)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (neg.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))) (log.f32 (*.f32 alpha alpha)))))
Outputs
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) #s(approx (log (* alpha alpha)) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))))
Calls

4 calls:

18.0ms
alpha
17.0ms
(/.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))))
13.0ms
cosTheta
13.0ms
(*.f32 alpha alpha)
Results
AccuracySegmentsBranch
98.6%1(*.f32 alpha alpha)
98.6%1(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
98.6%1cosTheta
98.6%1alpha
Compiler

Compiled 22 to 20 computations (9.1% saved)

regimes34.0ms (0.3%)

Memory
-28.6MiB live, 62.3MiB allocated; 3ms collecting garbage
Counts
29 → 1
Calls
Call 1
Inputs
(/.f32 #s(approx (+ (* (- alpha 1) alpha) (- alpha 1)) #s(literal -1 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (log.f32 alpha) (PI.f32))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(/.f32 #s(approx (+ (* (- alpha 1) alpha) (- alpha 1)) #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 #s(approx (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI)) (PI.f32)) #s(approx (log (* alpha alpha)) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 #s(approx (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI)) (PI.f32)) (log.f32 (*.f32 alpha alpha))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) #s(approx (log (* alpha alpha)) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))) #s(approx (+ 1 (* (- (* alpha (* cosTheta alpha)) cosTheta) cosTheta)) #s(literal 1 binary32))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (- (* alpha (* cosTheta alpha)) cosTheta) cosTheta)) #s(literal 1 binary32))))
(*.f32 #s(approx (/ (- alpha 1) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (-.f32 alpha #s(literal 1 binary32))) (/.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) #s(approx (log (* alpha alpha)) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(*.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(approx (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI)) (PI.f32))) (/.f32 #s(literal 1 binary32) (log.f32 (*.f32 alpha alpha))))
(/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 alpha alpha)) (PI.f32)) (*.f32 #s(approx (neg (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) #s(literal -1 binary32)) (log.f32 (*.f32 alpha alpha))))
(/.f32 (*.f32 (-.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal 1 binary32))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) cosTheta) cosTheta))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) #s(approx (log (* alpha alpha)) (*.f32 #s(literal -2 binary32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))) #s(approx (+ 1 (* (- (* alpha (* cosTheta alpha)) cosTheta) cosTheta)) #s(literal 1 binary32))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) #s(approx (log (* alpha alpha)) (*.f32 #s(literal -2 binary32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(/.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (neg.f32 (PI.f32)))) (*.f32 #s(approx (neg (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) #s(literal -1 binary32)) (log.f32 (*.f32 alpha alpha))))
(/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (*.f32 alpha alpha) (PI.f32))) (*.f32 #s(approx (neg (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) #s(literal -1 binary32)) (log.f32 (*.f32 alpha alpha))))
(/.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha (-.f32 alpha #s(literal 1 binary32))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(/.f32 (-.f32 alpha (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 alpha #s(literal 1 binary32)) alpha))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(/.f32 (+.f32 (-.f32 alpha #s(literal 1 binary32)) (*.f32 (-.f32 alpha #s(literal 1 binary32)) alpha)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(/.f32 #s(approx (+ (* (- alpha 1) alpha) (- alpha 1)) #s(literal -1 binary32)) (*.f32 (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) 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 #s(approx (* (- (* alpha alpha) 1) cosTheta) (*.f32 #s(literal -1 binary32) cosTheta)) cosTheta))))
(/.f32 (fma.f32 (+.f32 alpha #s(literal 1 binary32)) alpha (*.f32 (+.f32 alpha #s(literal 1 binary32)) (neg.f32 #s(literal 1 binary32)))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(/.f32 (+.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) alpha) (*.f32 (+.f32 alpha #s(literal 1 binary32)) (neg.f32 #s(literal 1 binary32)))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(/.f32 #s(approx (/ (- 1 (* alpha alpha)) (PI)) (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 (*.f32 (neg.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))) (log.f32 alpha)) #s(literal 2 binary32)))
(/.f32 #s(approx (/ (- 1 (* alpha alpha)) (PI)) (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 (neg.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))) (log.f32 (*.f32 alpha alpha))))
(/.f32 (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (PI.f32) (*.f32 alpha alpha))) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(approx (neg (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) #s(literal -1 binary32)) (log.f32 (*.f32 alpha alpha))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (pow.f32 (*.f32 alpha alpha) #s(approx (+ (* (+ (* alpha alpha) -1) (* (PI) (* cosTheta cosTheta))) (PI)) (PI.f32)))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (*.f32 alpha alpha) #s(approx (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI)) (PI.f32)))))
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 #s(approx (* (- (* alpha alpha) 1) cosTheta) (*.f32 #s(literal -1 binary32) cosTheta)) cosTheta))))
Calls

4 calls:

9.0ms
alpha
9.0ms
(*.f32 alpha alpha)
8.0ms
(/.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))))
8.0ms
cosTheta
Results
AccuracySegmentsBranch
98.0%1(*.f32 alpha alpha)
98.0%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))))
98.0%1cosTheta
98.0%1alpha
Compiler

Compiled 22 to 20 computations (9.1% saved)

regimes27.0ms (0.2%)

Memory
-5.6MiB live, 45.8MiB allocated; 3ms collecting garbage
Counts
21 → 1
Calls
Call 1
Inputs
(/.f32 #s(approx (+ (* (- alpha 1) alpha) (- alpha 1)) #s(literal -1 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (log.f32 alpha) (PI.f32))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(/.f32 #s(approx (+ (* (- alpha 1) alpha) (- alpha 1)) #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 #s(approx (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI)) (PI.f32)) #s(approx (log (* alpha alpha)) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 #s(approx (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI)) (PI.f32)) (log.f32 (*.f32 alpha alpha))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) #s(approx (log (* alpha alpha)) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))) #s(approx (+ 1 (* (- (* alpha (* cosTheta alpha)) cosTheta) cosTheta)) #s(literal 1 binary32))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (- (* alpha (* cosTheta alpha)) cosTheta) cosTheta)) #s(literal 1 binary32))))
(*.f32 #s(approx (/ (- alpha 1) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (-.f32 alpha #s(literal 1 binary32))) (/.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) #s(approx (log (* alpha alpha)) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(*.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(approx (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI)) (PI.f32))) (/.f32 #s(literal 1 binary32) (log.f32 (*.f32 alpha alpha))))
(/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 alpha alpha)) (PI.f32)) (*.f32 #s(approx (neg (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) #s(literal -1 binary32)) (log.f32 (*.f32 alpha alpha))))
(/.f32 (*.f32 (-.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal 1 binary32))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) cosTheta) cosTheta))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) #s(approx (log (* alpha alpha)) (*.f32 #s(literal -2 binary32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))) #s(approx (+ 1 (* (- (* alpha (* cosTheta alpha)) cosTheta) cosTheta)) #s(literal 1 binary32))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) #s(approx (log (* alpha alpha)) (*.f32 #s(literal -2 binary32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(/.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (neg.f32 (PI.f32)))) (*.f32 #s(approx (neg (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) #s(literal -1 binary32)) (log.f32 (*.f32 alpha alpha))))
(/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (*.f32 alpha alpha) (PI.f32))) (*.f32 #s(approx (neg (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) #s(literal -1 binary32)) (log.f32 (*.f32 alpha alpha))))
(/.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha (-.f32 alpha #s(literal 1 binary32))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(/.f32 (-.f32 alpha (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 alpha #s(literal 1 binary32)) alpha))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(/.f32 (+.f32 (-.f32 alpha #s(literal 1 binary32)) (*.f32 (-.f32 alpha #s(literal 1 binary32)) alpha)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(/.f32 #s(approx (+ (* (- alpha 1) alpha) (- alpha 1)) #s(literal -1 binary32)) (*.f32 (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) 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))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
Calls

4 calls:

8.0ms
(*.f32 alpha alpha)
6.0ms
alpha
6.0ms
(/.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))))
6.0ms
cosTheta
Results
AccuracySegmentsBranch
96.2%1(*.f32 alpha alpha)
96.2%1alpha
96.2%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))))
96.2%1cosTheta
Compiler

Compiled 22 to 20 computations (9.1% saved)

regimes11.0ms (0.1%)

Memory
25.3MiB live, 25.3MiB allocated; 0ms collecting garbage
Counts
8 → 1
Calls
Call 1
Inputs
(/.f32 #s(approx (+ (* (- alpha 1) alpha) (- alpha 1)) #s(literal -1 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (log.f32 alpha) (PI.f32))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(/.f32 #s(approx (+ (* (- alpha 1) alpha) (- alpha 1)) #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 #s(approx (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI)) (PI.f32)) #s(approx (log (* alpha alpha)) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 #s(approx (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI)) (PI.f32)) (log.f32 (*.f32 alpha alpha))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) #s(approx (log (* alpha alpha)) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))) #s(approx (+ 1 (* (- (* alpha (* cosTheta alpha)) cosTheta) cosTheta)) #s(literal 1 binary32))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (- (* alpha (* cosTheta alpha)) cosTheta) cosTheta)) #s(literal 1 binary32))))
(*.f32 #s(approx (/ (- alpha 1) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (-.f32 alpha #s(literal 1 binary32))) (/.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) #s(approx (log (* alpha alpha)) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
Outputs
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 #s(approx (+ (* (* (PI) (* cosTheta cosTheta)) (+ (* alpha alpha) -1)) (PI)) (PI.f32)) #s(approx (log (* alpha alpha)) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))))
Calls

4 calls:

3.0ms
(/.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))))
3.0ms
cosTheta
3.0ms
alpha
3.0ms
(*.f32 alpha alpha)
Results
AccuracySegmentsBranch
96.2%1(*.f32 alpha alpha)
96.2%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))))
96.2%1cosTheta
96.2%1alpha
Compiler

Compiled 22 to 20 computations (9.1% saved)

regimes6.0ms (0%)

Memory
-32.3MiB live, 12.5MiB allocated; 2ms collecting garbage
Counts
2 → 1
Calls
Call 1
Inputs
(/.f32 #s(approx (+ (* (- alpha 1) alpha) (- alpha 1)) #s(literal -1 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (log.f32 alpha) (PI.f32))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(/.f32 #s(approx (+ (* (- alpha 1) alpha) (- alpha 1)) #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
Outputs
(/.f32 #s(approx (+ (* (- alpha 1) alpha) (- alpha 1)) #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
Calls

4 calls:

1.0ms
(/.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))))
1.0ms
(*.f32 alpha alpha)
1.0ms
alpha
1.0ms
cosTheta
Results
AccuracySegmentsBranch
65.5%1(*.f32 alpha alpha)
65.5%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))))
65.5%1cosTheta
65.5%1alpha
Compiler

Compiled 22 to 20 computations (9.1% saved)

regimes5.0ms (0%)

Memory
14.6MiB live, 14.6MiB allocated; 0ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

4 calls:

1.0ms
(/.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))))
1.0ms
cosTheta
1.0ms
alpha
1.0ms
(*.f32 alpha alpha)
Results
AccuracySegmentsBranch
65.4%1(*.f32 alpha alpha)
65.4%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))))
65.4%1alpha
65.4%1cosTheta
Compiler

Compiled 22 to 20 computations (9.1% saved)

derivations1.0ms (0%)

Memory
2.4MiB live, 2.4MiB allocated; 0ms collecting garbage
Stop Event
fuel
Compiler

Compiled 79 to 57 computations (27.8% saved)

preprocess67.0ms (0.5%)

Memory
-4.3MiB live, 139.2MiB allocated; 33ms collecting garbage
Remove

(abs alpha)

(abs cosTheta)

Compiler

Compiled 661 to 590 computations (10.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

Profiling

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