GTR1 distribution

Time bar (total: 7.9s)

start0.0ms (0%)

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

analyze61.0ms (0.8%)

Memory
3.5MiB live, 48.7MiB allocated; 11ms 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)

sample1.2s (15.1%)

Memory
99.3MiB live, 1 783.2MiB allocated; 523ms collecting garbage
Samples
933.0ms8 255×0valid
0.0ms1valid
Precisions
Click to see histograms. Total time spent on operations: 732.0ms
ival-mult!: 277.0ms (37.8% of total)
ival-sub!: 211.0ms (28.8% of total)
ival-div!: 123.0ms (16.8% of total)
ival-log: 97.0ms (13.2% of total)
ival-add!: 20.0ms (2.7% of total)
adjust: 2.0ms (0.3% of total)
ival-and: 1.0ms (0.1% of total)
ival-<=: 1.0ms (0.1% of total)
ival-pi: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
Bogosity

preprocess32.0ms (0.4%)

Memory
-1.6MiB live, 45.1MiB allocated; 5ms 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
98.4%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.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)

series91.0ms (1.1%)

Memory
14.1MiB live, 154.8MiB allocated; 15ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02922723
Stop Event
iter-limit
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
25.0ms
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)
16.0ms
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)
14.0ms
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)
13.0ms
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)
4.0ms
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)

rewrite210.0ms (2.6%)

Memory
-3.5MiB live, 319.9MiB allocated; 19ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01391
02391
111791
263991
3483691
0801281
Stop Event
iter-limit
node-limit
iter-limit
Counts
13 → 764
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 #s(literal 1 binary32) (*.f32 (*.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))) (-.f32 (fabs.f32 alpha) #s(literal -1 binary32))) (-.f32 (fabs.f32 alpha) #s(literal 1 binary32)))
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))) (-.f32 #s(literal 1 binary32) alpha)) (-.f32 #s(literal -1 binary32) alpha))
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))) (-.f32 alpha #s(literal -1 binary32))) (-.f32 alpha #s(literal 1 binary32)))
(*.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal -1 binary32) (*.f32 (*.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))) (/.f32 (*.f32 alpha alpha) (*.f32 (*.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))))) (/.f32 (*.f32 alpha alpha) (*.f32 (*.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))))
(*.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 #s(literal 1 binary32) (log.f32 (*.f32 alpha alpha))))
(*.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha)))) (/.f32 #s(literal 1 binary32) (PI.f32)))
(*.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (cbrt.f32 (PI.f32)) (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32))) (log.f32 (*.f32 alpha alpha)))))
(*.f32 (/.f32 (-.f32 (fabs.f32 alpha) #s(literal -1 binary32)) (*.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (-.f32 (fabs.f32 alpha) #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha))))
(*.f32 (/.f32 (-.f32 (fabs.f32 alpha) #s(literal -1 binary32)) (*.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #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)) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (/.f32 (-.f32 (fabs.f32 alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (cbrt.f32 (PI.f32)) (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32))) (log.f32 (*.f32 alpha alpha)))))
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(fma.f32 (*.f32 (*.f32 (-.f32 alpha #s(literal 1 binary32)) cosTheta) cosTheta) (-.f32 alpha #s(literal -1 binary32)) #s(literal 1 binary32))
(fma.f32 (-.f32 #s(literal 1 binary32) alpha) (*.f32 (-.f32 #s(literal -1 binary32) alpha) (*.f32 cosTheta cosTheta)) #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 (fabs.f32 cosTheta) (*.f32 (fabs.f32 cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32))) #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 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #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 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 (-.f32 alpha #s(literal 1 binary32)) cosTheta) cosTheta) #s(literal 1 binary32))
(fma.f32 (-.f32 #s(literal 1 binary32) (*.f32 alpha alpha)) (*.f32 (neg.f32 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 (fma.f32 alpha alpha #s(literal -1 binary32)) 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 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))
(+.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)) #s(literal 0 binary32))
(+.f32 (*.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (+.f32 #s(literal 0 binary32) (*.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta)))
(+.f32 #s(literal 1 binary32) (-.f32 #s(literal 0 binary32) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 alpha alpha)) cosTheta) cosTheta)))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta))
(neg.f32 (-.f32 #s(literal -1 binary32) (*.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta)))
(*.f32 (*.f32 (*.f32 cosTheta cosTheta) (-.f32 (fabs.f32 alpha) #s(literal -1 binary32))) (-.f32 (fabs.f32 alpha) #s(literal 1 binary32)))
(*.f32 (*.f32 (*.f32 cosTheta cosTheta) (-.f32 #s(literal 1 binary32) alpha)) (-.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 cosTheta (*.f32 (-.f32 alpha #s(literal -1 binary32)) cosTheta)) (-.f32 alpha #s(literal 1 binary32)))
(*.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fabs.f32 cosTheta)) (fabs.f32 cosTheta))
(*.f32 (neg.f32 (neg.f32 cosTheta)) (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta))
(*.f32 (*.f32 (-.f32 alpha #s(literal -1 binary32)) cosTheta) (*.f32 (-.f32 alpha #s(literal 1 binary32)) cosTheta))
(*.f32 (*.f32 (*.f32 (-.f32 alpha #s(literal 1 binary32)) cosTheta) cosTheta) (-.f32 alpha #s(literal -1 binary32)))
(*.f32 (-.f32 #s(literal 1 binary32) alpha) (*.f32 (-.f32 #s(literal -1 binary32) alpha) (*.f32 cosTheta cosTheta)))
(*.f32 (-.f32 (fabs.f32 alpha) #s(literal -1 binary32)) (*.f32 (-.f32 (fabs.f32 alpha) #s(literal 1 binary32)) (*.f32 cosTheta cosTheta)))
(*.f32 (fabs.f32 cosTheta) (*.f32 (fabs.f32 cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32))))
(*.f32 (neg.f32 cosTheta) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 alpha alpha)) cosTheta))
(*.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)))
(*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 alpha alpha)) cosTheta) (neg.f32 cosTheta))
(*.f32 (-.f32 alpha #s(literal 1 binary32)) (*.f32 (-.f32 alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta)))
(*.f32 (-.f32 alpha #s(literal -1 binary32)) (*.f32 (*.f32 (-.f32 alpha #s(literal 1 binary32)) cosTheta) cosTheta))
(*.f32 (-.f32 #s(literal 1 binary32) (*.f32 alpha alpha)) (*.f32 (neg.f32 cosTheta) cosTheta))
(*.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) (neg.f32 (neg.f32 cosTheta)))
(*.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta)
(*.f32 cosTheta (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta))
(*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta))
(fma.f32 (*.f32 cosTheta (*.f32 alpha alpha)) cosTheta (*.f32 (neg.f32 cosTheta) cosTheta))
(fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 alpha alpha)))
(fma.f32 (*.f32 cosTheta cosTheta) (*.f32 alpha alpha) (*.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32)))
(fma.f32 #s(literal -1 binary32) (*.f32 cosTheta cosTheta) (*.f32 (*.f32 alpha alpha) (*.f32 cosTheta cosTheta)))
(fma.f32 cosTheta (*.f32 cosTheta (*.f32 alpha alpha)) (*.f32 (neg.f32 cosTheta) cosTheta))
(fma.f32 (*.f32 alpha alpha) (*.f32 cosTheta cosTheta) (*.f32 #s(literal -1 binary32) (*.f32 cosTheta cosTheta)))
(+.f32 (*.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32)) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 alpha alpha)))
(+.f32 (*.f32 (*.f32 cosTheta cosTheta) (*.f32 alpha alpha)) (*.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32)))
(+.f32 (*.f32 cosTheta (*.f32 cosTheta (*.f32 alpha alpha))) (*.f32 (neg.f32 cosTheta) cosTheta))
(+.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta cosTheta)) (*.f32 (*.f32 alpha alpha) (*.f32 cosTheta cosTheta)))
(+.f32 (*.f32 (*.f32 alpha alpha) (*.f32 cosTheta cosTheta)) (*.f32 #s(literal -1 binary32) (*.f32 cosTheta cosTheta)))
(+.f32 (*.f32 (*.f32 cosTheta (*.f32 alpha alpha)) cosTheta) (*.f32 (neg.f32 cosTheta) cosTheta))
(neg.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 alpha alpha)) cosTheta) cosTheta))
(*.f32 (*.f32 cosTheta (-.f32 (fabs.f32 alpha) #s(literal -1 binary32))) (-.f32 (fabs.f32 alpha) #s(literal 1 binary32)))
(*.f32 (*.f32 cosTheta (-.f32 #s(literal 1 binary32) alpha)) (-.f32 #s(literal -1 binary32) alpha))
(*.f32 (+.f32 #s(literal 1 binary32) (/.f32 (neg.f32 cosTheta) (*.f32 cosTheta (*.f32 alpha alpha)))) (*.f32 cosTheta (*.f32 alpha alpha)))
(*.f32 (neg.f32 (neg.f32 cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)))
(*.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 #s(literal 1 binary32) alpha) (*.f32 (-.f32 #s(literal -1 binary32) alpha) cosTheta))
(*.f32 (-.f32 (fabs.f32 alpha) #s(literal -1 binary32)) (*.f32 (-.f32 (fabs.f32 alpha) #s(literal 1 binary32)) cosTheta))
(*.f32 (neg.f32 cosTheta) (-.f32 #s(literal 1 binary32) (*.f32 alpha alpha)))
(*.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 (-.f32 #s(literal 1 binary32) (*.f32 alpha alpha)) (neg.f32 cosTheta))
(*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))
(*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (neg.f32 (neg.f32 cosTheta)))
(*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta)
(/.f32 (-.f32 (*.f32 (*.f32 cosTheta (*.f32 alpha alpha)) (*.f32 cosTheta (*.f32 alpha alpha))) (*.f32 cosTheta cosTheta)) (-.f32 (*.f32 cosTheta (*.f32 alpha alpha)) (neg.f32 cosTheta)))
(/.f32 (+.f32 (pow.f32 (*.f32 cosTheta (*.f32 alpha alpha)) #s(literal 3 binary32)) (pow.f32 (neg.f32 cosTheta) #s(literal 3 binary32))) (fma.f32 (*.f32 cosTheta (*.f32 alpha alpha)) (*.f32 cosTheta (*.f32 alpha alpha)) (-.f32 (*.f32 cosTheta cosTheta) (*.f32 (*.f32 cosTheta (*.f32 alpha alpha)) (neg.f32 cosTheta)))))
(-.f32 (*.f32 cosTheta (*.f32 alpha alpha)) (*.f32 (neg.f32 cosTheta) #s(literal -1 binary32)))
(-.f32 (*.f32 cosTheta (*.f32 alpha alpha)) (*.f32 #s(literal 1 binary32) cosTheta))
(-.f32 (*.f32 cosTheta (*.f32 alpha alpha)) (neg.f32 (neg.f32 cosTheta)))
(fma.f32 (*.f32 cosTheta (neg.f32 (fabs.f32 alpha))) (neg.f32 (fabs.f32 alpha)) (neg.f32 cosTheta))
(fma.f32 (*.f32 cosTheta (fabs.f32 alpha)) (fabs.f32 alpha) (neg.f32 cosTheta))
(fma.f32 (*.f32 cosTheta (neg.f32 alpha)) (neg.f32 alpha) (neg.f32 cosTheta))
(fma.f32 (*.f32 cosTheta alpha) alpha (neg.f32 cosTheta))
(fma.f32 (*.f32 (-.f32 alpha #s(literal -1 binary32)) cosTheta) alpha (*.f32 (*.f32 (-.f32 alpha #s(literal -1 binary32)) cosTheta) #s(literal -1 binary32)))
(fma.f32 (neg.f32 (fabs.f32 alpha)) (*.f32 (neg.f32 (fabs.f32 alpha)) cosTheta) (neg.f32 cosTheta))
(fma.f32 #s(literal -1 binary32) cosTheta (*.f32 cosTheta (*.f32 alpha alpha)))
(fma.f32 (fabs.f32 alpha) (*.f32 (fabs.f32 alpha) cosTheta) (neg.f32 cosTheta))
(fma.f32 (neg.f32 alpha) (*.f32 (neg.f32 alpha) cosTheta) (neg.f32 cosTheta))
(fma.f32 cosTheta #s(literal -1 binary32) (*.f32 cosTheta (*.f32 alpha alpha)))
(fma.f32 cosTheta (*.f32 alpha alpha) (neg.f32 cosTheta))
(fma.f32 (*.f32 alpha alpha) cosTheta (neg.f32 cosTheta))
(fma.f32 alpha (*.f32 alpha cosTheta) (neg.f32 cosTheta))
(fma.f32 alpha (*.f32 (-.f32 alpha #s(literal -1 binary32)) cosTheta) (*.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) #s(literal -1 binary32)))
(+.f32 (*.f32 alpha (*.f32 (-.f32 alpha #s(literal -1 binary32)) cosTheta)) (*.f32 #s(literal -1 binary32) (*.f32 (-.f32 alpha #s(literal -1 binary32)) cosTheta)))
(+.f32 (*.f32 cosTheta (*.f32 alpha alpha)) (neg.f32 cosTheta))
(+.f32 (neg.f32 cosTheta) (*.f32 cosTheta (*.f32 alpha alpha)))
(neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 alpha alpha)) cosTheta))
cosTheta

eval159.0ms (2%)

Memory
1.7MiB live, 148.0MiB allocated; 124ms collecting garbage
Compiler

Compiled 13 935 to 3 170 computations (77.3% saved)

prune37.0ms (0.5%)

Memory
-23.1MiB live, 72.4MiB allocated; 11ms collecting garbage
Pruning

31 alts after pruning (31 fresh and 0 done)

PrunedKeptTotal
New78331814
Fresh000
Picked101
Done000
Total78431815
Accuracy
100.0%
Counts
815 → 31
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.3%
(fma.f32 (/.f32 alpha (*.f32 (*.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))) alpha (/.f32 #s(literal -1 binary32) (*.f32 (*.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))))
98.2%
(/.f32 (fma.f32 (-.f32 alpha #s(literal -1 binary32)) alpha (*.f32 (-.f32 alpha #s(literal -1 binary32)) #s(literal -1 binary32))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (fma.f32 (-.f32 alpha #s(literal -1 binary32)) alpha (*.f32 (-.f32 alpha #s(literal -1 binary32)) #s(literal -1 binary32))) cosTheta) cosTheta))))
98.3%
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha))))
98.3%
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha)))) (PI.f32))
98.2%
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)) (PI.f32))) (log.f32 (*.f32 alpha alpha)))
98.3%
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32))) (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)))
98.2%
(/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 alpha alpha)) (PI.f32)) (*.f32 (-.f32 #s(literal -1 binary32) (*.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta)) (log.f32 (*.f32 alpha alpha))))
98.3%
(/.f32 (-.f32 (*.f32 (*.f32 alpha (/.f32 alpha (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)))) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32))) (*.f32 (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32))))) (*.f32 (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32)) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32))))
97.8%
(/.f32 (-.f32 (*.f32 (*.f32 alpha (/.f32 alpha (PI.f32))) (*.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha)))) (*.f32 (*.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha))) (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 (*.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha))) (*.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha)))))
98.1%
(/.f32 (-.f32 (*.f32 (*.f32 alpha (/.f32 alpha (PI.f32))) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32))) (*.f32 (*.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha))) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32))))) (*.f32 (*.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha))) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32))))
98.4%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32))))
98.0%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (log.f32 (*.f32 alpha alpha)))) (cbrt.f32 (PI.f32))))
98.4%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha))) (PI.f32)))
98.3%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
97.5%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (*.f32 #s(literal -1 binary32) cosTheta)) cosTheta))))
95.9%
(/.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))))
98.1%
(/.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))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
97.9%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (cbrt.f32 (PI.f32)) (*.f32 (cbrt.f32 (PI.f32)) (*.f32 (*.f32 (cbrt.f32 (PI.f32)) (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32))) (log.f32 (*.f32 alpha alpha))))))
98.5%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (*.f32 alpha alpha) (*.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)) (PI.f32)))))
97.8%
(/.f32 (*.f32 (/.f32 (-.f32 alpha #s(literal -1 binary32)) (PI.f32)) (-.f32 alpha #s(literal 1 binary32))) (*.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha))))
98.0%
(/.f32 (*.f32 (-.f32 alpha #s(literal -1 binary32)) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (*.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha))))) (PI.f32))
66.1%
(/.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))))
98.2%
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32)))))
98.3%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha))) (fma.f32 alpha alpha #s(literal -1 binary32))))
98.2%
(*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))))
98.0%
(*.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 #s(literal 1 binary32) (log.f32 (*.f32 alpha alpha))))
97.9%
(*.f32 (/.f32 (-.f32 alpha #s(literal 1 binary32)) (*.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha)))) (/.f32 (-.f32 alpha #s(literal -1 binary32)) (PI.f32)))
97.9%
(*.f32 (/.f32 (-.f32 alpha #s(literal 1 binary32)) (*.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (-.f32 alpha #s(literal -1 binary32)) (log.f32 (*.f32 alpha alpha))))
98.1%
(*.f32 (/.f32 (-.f32 alpha #s(literal 1 binary32)) (*.f32 (*.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #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 alpha #s(literal -1 binary32)) (*.f32 (*.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))))
98.0%
(*.f32 (-.f32 alpha #s(literal 1 binary32)) (*.f32 (-.f32 alpha #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha))))))
Compiler

Compiled 1 170 to 978 computations (16.4% saved)

series240.0ms (3%)

Memory
17.4MiB live, 337.6MiB allocated; 57ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09529193
Stop Event
iter-limit
Counts
37 → 151
Calls
Call 1
Inputs
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (*.f32 alpha alpha) (*.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #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) (*.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)) (PI.f32))))
(pow.f32 (*.f32 alpha alpha) (*.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)) (PI.f32)))
(*.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)) (PI.f32))
(fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32))
(*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta)
(fma.f32 alpha alpha #s(literal -1 binary32))
#s(literal -1 binary32)
cosTheta
(PI.f32)
(/.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 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)) (PI.f32))) (log.f32 (*.f32 alpha alpha)))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)) (PI.f32)))
(*.f32 (/.f32 (-.f32 alpha #s(literal 1 binary32)) (*.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (-.f32 alpha #s(literal -1 binary32)) (log.f32 (*.f32 alpha alpha))))
(/.f32 (-.f32 alpha #s(literal 1 binary32)) (*.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)) (PI.f32)))
(-.f32 alpha #s(literal 1 binary32))
(/.f32 (-.f32 alpha #s(literal -1 binary32)) (log.f32 (*.f32 alpha alpha)))
(-.f32 alpha #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))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(*.f32 (*.f32 (PI.f32) #s(approx (log (* alpha alpha)) (*.f32 #s(literal -2 binary32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))
(*.f32 (PI.f32) #s(approx (log (* alpha alpha)) (*.f32 #s(literal -2 binary32) (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))))
(*.f32 #s(literal -2 binary32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))
#s(literal -2 binary32)
(log.f32 (/.f32 #s(literal 1 binary32) alpha))
(/.f32 #s(literal 1 binary32) 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)
Outputs
#s(approx (/ (- (* alpha alpha) 1) (log (pow (* alpha alpha) (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 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) (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 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) (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 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) (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 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) (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI)))) (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))))
#s(approx (log (pow (* alpha alpha) (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 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) (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 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) (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 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) (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI))) (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32)))
#s(approx (pow (* alpha alpha) (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 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) (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 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) (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 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 (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI)) (PI.f32))
#s(approx (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 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 (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) #s(literal 1 binary32))
#s(approx (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (+.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) (*.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 (-.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 (/ (+ (* alpha alpha) -1) (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI))) (/.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) (PI.f32)))
#s(approx (/ (+ (* alpha alpha) -1) (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI))) (-.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))) (PI.f32)) (/.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))) (/.f32 #s(literal 1 binary32) (PI.f32))))
#s(approx (/ (+ (* alpha alpha) -1) (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI))) (-.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))) (PI.f32)) (/.f32 (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 2 binary32)) (PI.f32))) (/.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))) (/.f32 #s(literal 1 binary32) (PI.f32))))
#s(approx (/ (+ (* alpha alpha) -1) (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 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 (*.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))) (PI.f32))) (*.f32 #s(literal -1 binary32) (/.f32 (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 3 binary32)) (PI.f32))))) (/.f32 (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 2 binary32)) (PI.f32))) (/.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))) (/.f32 #s(literal 1 binary32) (PI.f32))))
#s(approx (* (/ (- alpha 1) (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI))) (/ (- alpha -1) (log (* alpha alpha)))) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 alpha #s(literal 1 binary32))) (*.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32))))))
#s(approx (* (/ (- alpha 1) (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI))) (/ (- alpha -1) (log (* alpha alpha)))) (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) alpha) (*.f32 (-.f32 alpha #s(literal 1 binary32)) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32))))) (*.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32))))) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 alpha #s(literal 1 binary32))) (*.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32)))))))
#s(approx (* (/ (- alpha 1) (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI))) (/ (- alpha -1) (log (* alpha alpha)))) (fma.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (/.f32 (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) alpha) (*.f32 (-.f32 alpha #s(literal 1 binary32)) (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 2 binary32))))) (*.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32))))) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) alpha) (*.f32 (-.f32 alpha #s(literal 1 binary32)) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)))) (*.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32)))))) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 alpha #s(literal 1 binary32))) (*.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32)))))))
#s(approx (* (/ (- alpha 1) (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI))) (/ (- alpha -1) (log (* alpha alpha)))) (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 #s(literal 1 binary32) alpha) (*.f32 (-.f32 alpha #s(literal 1 binary32)) (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 3 binary32))))) (*.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32)))))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) alpha) (*.f32 (-.f32 alpha #s(literal 1 binary32)) (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 2 binary32)))) (*.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32)))))))) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) alpha) (*.f32 (-.f32 alpha #s(literal 1 binary32)) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)))) (*.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32)))))) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 alpha #s(literal 1 binary32))) (*.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32)))))))
#s(approx (/ (- alpha 1) (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (PI.f32)))
#s(approx (/ (- alpha 1) (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI))) (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (-.f32 alpha #s(literal 1 binary32)) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)))) (PI.f32)) (/.f32 alpha (PI.f32))) (/.f32 #s(literal 1 binary32) (PI.f32))))
#s(approx (/ (- alpha 1) (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI))) (-.f32 (fma.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (/.f32 (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (-.f32 alpha #s(literal 1 binary32)) (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 2 binary32)))) (PI.f32)) (/.f32 (*.f32 (-.f32 alpha #s(literal 1 binary32)) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32))) (PI.f32))) (/.f32 alpha (PI.f32))) (/.f32 #s(literal 1 binary32) (PI.f32))))
#s(approx (/ (- alpha 1) (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 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 (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (-.f32 alpha #s(literal 1 binary32)) (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 3 binary32)))) (PI.f32))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 (-.f32 alpha #s(literal 1 binary32)) (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 2 binary32))) (PI.f32))))) (/.f32 (*.f32 (-.f32 alpha #s(literal 1 binary32)) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32))) (PI.f32))) (/.f32 alpha (PI.f32))) (/.f32 #s(literal 1 binary32) (PI.f32))))
#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) (log (pow (* alpha alpha) (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI))))) (/.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 (pow.f32 alpha #s(literal 2 binary32))) (-.f32 (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)))) (pow.f32 cosTheta #s(literal 2 binary32)))))))
#s(approx (log (pow (* alpha alpha) (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI)))) (*.f32 (PI.f32) (*.f32 (log.f32 (pow.f32 alpha #s(literal 2 binary32))) (-.f32 (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)))) (pow.f32 cosTheta #s(literal 2 binary32))))))
#s(approx (pow (* alpha alpha) (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI))) (exp.f32 (*.f32 (PI.f32) (*.f32 (log.f32 (pow.f32 alpha #s(literal 2 binary32))) (-.f32 (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)))) (pow.f32 cosTheta #s(literal 2 binary32)))))))
#s(approx (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI)) (*.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 (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI)) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (fma.f32 (PI.f32) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) (/.f32 (PI.f32) (pow.f32 cosTheta #s(literal 2 binary32))))))
#s(approx (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (*.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 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 (/ (+ (* alpha alpha) -1) (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI))) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (PI.f32))))
#s(approx (/ (+ (* alpha alpha) -1) (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI))) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)))))) (pow.f32 cosTheta #s(literal 2 binary32))))
#s(approx (/ (+ (* alpha alpha) -1) (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI))) (/.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (*.f32 (PI.f32) (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 2 binary32)))))) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)))))) (pow.f32 cosTheta #s(literal 2 binary32))))
#s(approx (/ (+ (* alpha alpha) -1) (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI))) (/.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (*.f32 (PI.f32) (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 2 binary32)))))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32))))) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 6 binary32)) (*.f32 (PI.f32) (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 3 binary32))))))) (pow.f32 cosTheta #s(literal 2 binary32))))
#s(approx (* (/ (- alpha 1) (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI))) (/ (- alpha -1) (log (* alpha alpha)))) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 alpha #s(literal 1 binary32))) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 (pow.f32 alpha #s(literal 2 binary32))) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)))))))
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#s(approx alpha alpha)
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#s(approx (/ (- alpha -1) (log (* alpha alpha))) (fma.f32 #s(literal 1/2 binary32) (/.f32 alpha (log.f32 alpha)) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (log.f32 alpha)))))
#s(approx (- alpha -1) (+.f32 #s(literal 1 binary32) alpha))
#s(approx (log (/ 1 alpha)) (*.f32 #s(literal -1 binary32) (log.f32 alpha)))
#s(approx (/ 1 alpha) (/.f32 #s(literal 1 binary32) alpha))
#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) (log (pow (* alpha alpha) (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI))))) (/.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 (pow.f32 alpha #s(literal 2 binary32))) (+.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) (log (pow (* alpha alpha) (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI))))) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 (pow.f32 alpha #s(literal 2 binary32))) (+.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))))))) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 (pow.f32 alpha #s(literal 2 binary32))) (+.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) (*.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 (log (pow (* alpha alpha) (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI)))) (*.f32 (PI.f32) (*.f32 (log.f32 (pow.f32 alpha #s(literal 2 binary32))) (+.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 (pow (* alpha alpha) (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI))) (exp.f32 (*.f32 (PI.f32) (*.f32 (log.f32 (pow.f32 alpha #s(literal 2 binary32))) (+.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) 1) (PI)) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (PI.f32))))
#s(approx (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI)) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (fma.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (PI.f32) (/.f32 (*.f32 (PI.f32) (+.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) cosTheta) cosTheta) 1) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (pow.f32 cosTheta #s(literal 2 binary32))))
#s(approx (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (*.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) (*.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)))))))))
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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) (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI))) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (PI.f32))))))
#s(approx (/ (+ (* alpha alpha) -1) (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI))) (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 alpha #s(literal 4 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 6 binary32)) (PI.f32)))) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (PI.f32)))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (PI.f32)))) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 alpha #s(literal 4 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (PI.f32)))))))
#s(approx (/ (+ (* alpha alpha) -1) (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI))) (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32)) (*.f32 (pow.f32 alpha #s(literal 6 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 8 binary32)) (PI.f32)))) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (PI.f32)))) (fma.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 alpha #s(literal 4 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 6 binary32)) (PI.f32)))) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (PI.f32)))))))
#s(approx (/ (- alpha 1) (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI))) (/.f32 #s(literal 1 binary32) (*.f32 alpha (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (PI.f32)))))
#s(approx (/ (- alpha 1) (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI))) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 alpha (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (PI.f32))))) alpha))
#s(approx (/ (- alpha 1) (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI))) (/.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (PI.f32)))) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (PI.f32)))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 alpha (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (PI.f32)))) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (PI.f32)))))) alpha))
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#s(approx (- alpha 1) (*.f32 alpha (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) alpha))))
#s(approx (/ (- alpha -1) (log (* alpha alpha))) (*.f32 #s(literal -1/2 binary32) (/.f32 alpha (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))
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#s(approx (- alpha -1) (*.f32 alpha (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) alpha))))
#s(approx (log (/ 1 alpha)) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))
#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) (* (* (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))))
#s(approx (* (/ (- alpha 1) (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI))) (/ (- alpha -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 (* (/ (- alpha 1) (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI))) (/ (- alpha -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 (* (/ (- alpha 1) (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI))) (/ (- alpha -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 (/ (- alpha 1) (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI))) (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 alpha (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (PI.f32)))) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (PI.f32)))) alpha)))
#s(approx (/ (- alpha 1) (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI))) (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 alpha (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (PI.f32)))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 alpha (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (PI.f32)))) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (PI.f32))))) alpha)) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (PI.f32)))) alpha)))
#s(approx (/ (- alpha 1) (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI))) (*.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) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (PI.f32)))) (/.f32 #s(literal 1 binary32) (*.f32 alpha (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (PI.f32))))) (/.f32 #s(literal 1 binary32) (*.f32 alpha (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (PI.f32))))) alpha)) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (PI.f32)))) alpha)) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (PI.f32)))) alpha)))
#s(approx (- alpha 1) (*.f32 #s(literal -1 binary32) (*.f32 alpha (-.f32 (/.f32 #s(literal 1 binary32) alpha) #s(literal 1 binary32)))))
#s(approx (/ (- alpha -1) (log (* alpha alpha))) (*.f32 #s(literal -1/2 binary32) (/.f32 alpha (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))
#s(approx (/ (- alpha -1) (log (* alpha alpha))) (*.f32 #s(literal -1 binary32) (*.f32 alpha (fma.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) alpha))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 alpha (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))))))
Calls

6 calls:

TimeVariablePointExpression
63.0ms
alpha
@inf
((/ (- (* alpha alpha) 1) (log (pow (* alpha alpha) (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI))))) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (log (pow (* alpha alpha) (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI)))) (pow (* alpha alpha) (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI))) (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI)) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (* (+ (* alpha alpha) -1) cosTheta) (+ (* alpha alpha) -1) -1 cosTheta (PI) (/ (- (* 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) (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI))) (log (* alpha alpha))) (/ (+ (* alpha alpha) -1) (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI))) (* (/ (- alpha 1) (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI))) (/ (- alpha -1) (log (* alpha alpha)))) (/ (- alpha 1) (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI))) (- alpha 1) (/ (- alpha -1) (log (* alpha alpha))) (- 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))) (* (PI) (log (* alpha alpha))) (log (* alpha alpha)) (* -2 (log (/ 1 alpha))) -2 (log (/ 1 alpha)) (/ 1 alpha) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (* (- (* alpha alpha) 1) cosTheta))
51.0ms
cosTheta
@inf
((/ (- (* alpha alpha) 1) (log (pow (* alpha alpha) (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI))))) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (log (pow (* alpha alpha) (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI)))) (pow (* alpha alpha) (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI))) (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI)) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (* (+ (* alpha alpha) -1) cosTheta) (+ (* alpha alpha) -1) -1 cosTheta (PI) (/ (- (* 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) (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI))) (log (* alpha alpha))) (/ (+ (* alpha alpha) -1) (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI))) (* (/ (- alpha 1) (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI))) (/ (- alpha -1) (log (* alpha alpha)))) (/ (- alpha 1) (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI))) (- alpha 1) (/ (- alpha -1) (log (* alpha alpha))) (- 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))) (* (PI) (log (* alpha alpha))) (log (* alpha alpha)) (* -2 (log (/ 1 alpha))) -2 (log (/ 1 alpha)) (/ 1 alpha) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (* (- (* alpha alpha) 1) cosTheta))
35.0ms
alpha
@0
((/ (- (* alpha alpha) 1) (log (pow (* alpha alpha) (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI))))) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (log (pow (* alpha alpha) (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI)))) (pow (* alpha alpha) (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI))) (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI)) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (* (+ (* alpha alpha) -1) cosTheta) (+ (* alpha alpha) -1) -1 cosTheta (PI) (/ (- (* 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) (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI))) (log (* alpha alpha))) (/ (+ (* alpha alpha) -1) (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI))) (* (/ (- alpha 1) (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI))) (/ (- alpha -1) (log (* alpha alpha)))) (/ (- alpha 1) (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI))) (- alpha 1) (/ (- alpha -1) (log (* alpha alpha))) (- 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))) (* (PI) (log (* alpha alpha))) (log (* alpha alpha)) (* -2 (log (/ 1 alpha))) -2 (log (/ 1 alpha)) (/ 1 alpha) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (* (- (* alpha alpha) 1) cosTheta))
28.0ms
alpha
@-inf
((/ (- (* alpha alpha) 1) (log (pow (* alpha alpha) (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI))))) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (log (pow (* alpha alpha) (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI)))) (pow (* alpha alpha) (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI))) (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI)) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (* (+ (* alpha alpha) -1) cosTheta) (+ (* alpha alpha) -1) -1 cosTheta (PI) (/ (- (* 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) (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI))) (log (* alpha alpha))) (/ (+ (* alpha alpha) -1) (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI))) (* (/ (- alpha 1) (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI))) (/ (- alpha -1) (log (* alpha alpha)))) (/ (- alpha 1) (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI))) (- alpha 1) (/ (- alpha -1) (log (* alpha alpha))) (- 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))) (* (PI) (log (* alpha alpha))) (log (* alpha alpha)) (* -2 (log (/ 1 alpha))) -2 (log (/ 1 alpha)) (/ 1 alpha) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (* (- (* alpha alpha) 1) cosTheta))
11.0ms
cosTheta
@-inf
((/ (- (* alpha alpha) 1) (log (pow (* alpha alpha) (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI))))) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (log (pow (* alpha alpha) (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI)))) (pow (* alpha alpha) (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI))) (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI)) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (* (+ (* alpha alpha) -1) cosTheta) (+ (* alpha alpha) -1) -1 cosTheta (PI) (/ (- (* 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) (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI))) (log (* alpha alpha))) (/ (+ (* alpha alpha) -1) (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI))) (* (/ (- alpha 1) (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI))) (/ (- alpha -1) (log (* alpha alpha)))) (/ (- alpha 1) (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI))) (- alpha 1) (/ (- alpha -1) (log (* alpha alpha))) (- 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))) (* (PI) (log (* alpha alpha))) (log (* alpha alpha)) (* -2 (log (/ 1 alpha))) -2 (log (/ 1 alpha)) (/ 1 alpha) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (* (- (* alpha alpha) 1) cosTheta))

rewrite494.0ms (6.2%)

Memory
18.9MiB live, 682.1MiB allocated; 239ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043376
075349
1336349
21538349
08045349
Stop Event
iter-limit
node-limit
iter-limit
Counts
37 → 3 304
Calls
Call 1
Inputs
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (*.f32 alpha alpha) (*.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #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) (*.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)) (PI.f32))))
(pow.f32 (*.f32 alpha alpha) (*.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)) (PI.f32)))
(*.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)) (PI.f32))
(fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32))
(*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta)
(fma.f32 alpha alpha #s(literal -1 binary32))
#s(literal -1 binary32)
cosTheta
(PI.f32)
(/.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 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)) (PI.f32))) (log.f32 (*.f32 alpha alpha)))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)) (PI.f32)))
(*.f32 (/.f32 (-.f32 alpha #s(literal 1 binary32)) (*.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (-.f32 alpha #s(literal -1 binary32)) (log.f32 (*.f32 alpha alpha))))
(/.f32 (-.f32 alpha #s(literal 1 binary32)) (*.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)) (PI.f32)))
(-.f32 alpha #s(literal 1 binary32))
(/.f32 (-.f32 alpha #s(literal -1 binary32)) (log.f32 (*.f32 alpha alpha)))
(-.f32 alpha #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))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(*.f32 (*.f32 (PI.f32) #s(approx (log (* alpha alpha)) (*.f32 #s(literal -2 binary32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))
(*.f32 (PI.f32) #s(approx (log (* alpha alpha)) (*.f32 #s(literal -2 binary32) (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))))
(*.f32 #s(literal -2 binary32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))
#s(literal -2 binary32)
(log.f32 (/.f32 #s(literal 1 binary32) alpha))
(/.f32 #s(literal 1 binary32) 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)
Outputs
(*.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)) (PI.f32))) (*.f32 #s(literal -2 binary32) (log.f32 alpha))) (/.f32 (*.f32 alpha (/.f32 alpha (*.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)) (PI.f32)))) (log.f32 (*.f32 alpha alpha))))) (/.f32 (*.f32 alpha (/.f32 alpha (*.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)) (PI.f32)))) (log.f32 (*.f32 alpha alpha))))
(*.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 alpha alpha) (*.f32 (log.f32 (*.f32 alpha alpha)) (*.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)) (PI.f32)))) (/.f32 #s(literal -1 binary32) (*.f32 (log.f32 (*.f32 alpha alpha)) (*.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)) (PI.f32)))))) (/.f32 #s(literal -1 binary32) (*.f32 (log.f32 (*.f32 alpha alpha)) (*.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)) (PI.f32)))))
(*.f32 (+.f32 #s(literal 1 binary32) (/.f32 (neg.f32 (/.f32 #s(literal -1 binary32) (*.f32 (*.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)) (PI.f32)) (*.f32 #s(literal -2 binary32) (log.f32 alpha))))) (/.f32 (*.f32 alpha alpha) (*.f32 (log.f32 (*.f32 alpha alpha)) (*.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)) (PI.f32)))))) (/.f32 (*.f32 alpha alpha) (*.f32 (log.f32 (*.f32 alpha alpha)) (*.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)) (PI.f32)))))
(*.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal -1 binary32) (*.f32 (log.f32 (*.f32 alpha alpha)) (*.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)) (PI.f32)))) (/.f32 (*.f32 alpha alpha) (*.f32 (log.f32 (*.f32 alpha alpha)) (*.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)) (PI.f32)))))) (/.f32 (*.f32 alpha alpha) (*.f32 (log.f32 (*.f32 alpha alpha)) (*.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)) (PI.f32)))))
(*.f32 (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32))) (cbrt.f32 (PI.f32))) (/.f32 (/.f32 #s(literal -1 binary32) (*.f32 #s(literal -2 binary32) (log.f32 alpha))) (pow.f32 (PI.f32) #s(literal 2/3 binary32))))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 alpha alpha)) (PI.f32)) (/.f32 (/.f32 #s(literal -1 binary32) (*.f32 #s(literal -2 binary32) (log.f32 alpha))) (neg.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)))))
(*.f32 (/.f32 (/.f32 (-.f32 #s(literal -1 binary32) alpha) (*.f32 #s(literal -2 binary32) (log.f32 alpha))) (neg.f32 (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) alpha) (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32))))
(*.f32 (/.f32 (/.f32 (-.f32 #s(literal -1 binary32) alpha) (*.f32 #s(literal -2 binary32) (log.f32 alpha))) (neg.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)))) (/.f32 (-.f32 #s(literal 1 binary32) alpha) (PI.f32)))
(*.f32 (/.f32 (/.f32 (-.f32 alpha #s(literal 1 binary32)) (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32))) (*.f32 (log.f32 (*.f32 alpha alpha)) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))) (/.f32 (-.f32 alpha #s(literal -1 binary32)) (cbrt.f32 (PI.f32))))
(*.f32 (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32))) (*.f32 (log.f32 (*.f32 alpha alpha)) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))) (/.f32 #s(literal 1 binary32) (cbrt.f32 (PI.f32))))
(*.f32 (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32))) (log.f32 (*.f32 alpha alpha))) (/.f32 #s(literal 1 binary32) (PI.f32)))
(*.f32 (/.f32 (/.f32 (-.f32 #s(literal -1 binary32) alpha) (*.f32 #s(literal -2 binary32) (log.f32 alpha))) (*.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (cbrt.f32 (PI.f32))))
(*.f32 (/.f32 (-.f32 alpha #s(literal 1 binary32)) (*.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))) (/.f32 (/.f32 (-.f32 #s(literal -1 binary32) alpha) (*.f32 #s(literal -2 binary32) (log.f32 alpha))) (cbrt.f32 (PI.f32))))
(*.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))) (/.f32 (/.f32 #s(literal -1 binary32) (*.f32 #s(literal -2 binary32) (log.f32 alpha))) (cbrt.f32 (PI.f32))))
(*.f32 (/.f32 (/.f32 (-.f32 alpha #s(literal 1 binary32)) (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32))) (log.f32 (*.f32 alpha alpha))) (/.f32 (-.f32 alpha #s(literal -1 binary32)) (PI.f32)))
(*.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (log.f32 (*.f32 alpha alpha)) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32))) (cbrt.f32 (PI.f32))))
(*.f32 (/.f32 (-.f32 alpha #s(literal -1 binary32)) (*.f32 (neg.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32))) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) alpha) (log.f32 (*.f32 alpha alpha))))
(*.f32 (/.f32 (+.f32 (fabs.f32 alpha) #s(literal 1 binary32)) (*.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (-.f32 (fabs.f32 alpha) #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha))))
(*.f32 (/.f32 (/.f32 (-.f32 #s(literal -1 binary32) alpha) (*.f32 #s(literal -2 binary32) (log.f32 alpha))) (cbrt.f32 (PI.f32))) (/.f32 (/.f32 (-.f32 alpha #s(literal 1 binary32)) (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32))) (pow.f32 (PI.f32) #s(literal 2/3 binary32))))
(*.f32 (/.f32 (/.f32 (-.f32 #s(literal -1 binary32) alpha) (*.f32 #s(literal -2 binary32) (log.f32 alpha))) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (*.f32 (cbrt.f32 (PI.f32)) (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)))))
(*.f32 (/.f32 (/.f32 (-.f32 #s(literal -1 binary32) alpha) (*.f32 #s(literal -2 binary32) (log.f32 alpha))) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (/.f32 (/.f32 (-.f32 alpha #s(literal 1 binary32)) (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32))) (cbrt.f32 (PI.f32))))
(*.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32))) (*.f32 (cbrt.f32 (PI.f32)) (log.f32 (*.f32 alpha alpha)))))
(*.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (/.f32 (/.f32 #s(literal -1 binary32) (*.f32 #s(literal -2 binary32) (log.f32 alpha))) (*.f32 (cbrt.f32 (PI.f32)) (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)))))
(*.f32 (/.f32 (+.f32 (fabs.f32 alpha) #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha))) (/.f32 (-.f32 (fabs.f32 alpha) #s(literal 1 binary32)) (*.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)) (PI.f32))))
(*.f32 (/.f32 (+.f32 (fabs.f32 alpha) #s(literal 1 binary32)) (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32))) (/.f32 (-.f32 (fabs.f32 alpha) #s(literal 1 binary32)) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32))))
(*.f32 (/.f32 (-.f32 alpha #s(literal -1 binary32)) (*.f32 (log.f32 (*.f32 alpha alpha)) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))) (/.f32 (/.f32 (-.f32 alpha #s(literal 1 binary32)) (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32))) (cbrt.f32 (PI.f32))))
(*.f32 (/.f32 (+.f32 (fabs.f32 alpha) #s(literal 1 binary32)) (PI.f32)) (/.f32 (-.f32 (fabs.f32 alpha) #s(literal 1 binary32)) (*.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha)))))
(*.f32 (/.f32 (-.f32 alpha #s(literal 1 binary32)) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (/.f32 (/.f32 (-.f32 #s(literal -1 binary32) alpha) (*.f32 #s(literal -2 binary32) (log.f32 alpha))) (*.f32 (cbrt.f32 (PI.f32)) (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)))))
(*.f32 (/.f32 (/.f32 (-.f32 alpha #s(literal 1 binary32)) (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32))) (cbrt.f32 (PI.f32))) (/.f32 (/.f32 (-.f32 #s(literal -1 binary32) alpha) (*.f32 #s(literal -2 binary32) (log.f32 alpha))) (pow.f32 (PI.f32) #s(literal 2/3 binary32))))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) alpha) (log.f32 (*.f32 alpha alpha))) (/.f32 (-.f32 (neg.f32 alpha) #s(literal 1 binary32)) (*.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)) (PI.f32))))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) alpha) (PI.f32)) (/.f32 (/.f32 (-.f32 #s(literal -1 binary32) alpha) (*.f32 #s(literal -2 binary32) (log.f32 alpha))) (neg.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)))))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) alpha) (PI.f32)) (/.f32 (-.f32 (neg.f32 alpha) #s(literal 1 binary32)) (*.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha)))))
(*.f32 (/.f32 (-.f32 alpha #s(literal -1 binary32)) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (/.f32 (/.f32 (-.f32 alpha #s(literal 1 binary32)) (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32))) (*.f32 (cbrt.f32 (PI.f32)) (log.f32 (*.f32 alpha alpha)))))
(*.f32 (/.f32 (/.f32 (-.f32 alpha #s(literal 1 binary32)) (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32))) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (/.f32 (/.f32 (-.f32 #s(literal -1 binary32) alpha) (*.f32 #s(literal -2 binary32) (log.f32 alpha))) (cbrt.f32 (PI.f32))))
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(*.f32 (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32))) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (/.f32 #s(literal 1 binary32) (*.f32 (cbrt.f32 (PI.f32)) (log.f32 (*.f32 alpha alpha)))))
(*.f32 (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32))) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (/.f32 (/.f32 #s(literal -1 binary32) (*.f32 #s(literal -2 binary32) (log.f32 alpha))) (cbrt.f32 (PI.f32))))
(*.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32))) (log.f32 (*.f32 alpha alpha))))
(*.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha)))))
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(/.f32 (-.f32 (*.f32 (*.f32 #s(literal -1 binary32) cosTheta) (*.f32 #s(literal -1 binary32) cosTheta)) (*.f32 (*.f32 (*.f32 alpha alpha) cosTheta) (*.f32 (*.f32 alpha alpha) cosTheta))) (-.f32 (*.f32 #s(literal -1 binary32) cosTheta) (*.f32 (*.f32 alpha alpha) cosTheta)))
(/.f32 (-.f32 (*.f32 (*.f32 (*.f32 alpha alpha) cosTheta) (*.f32 (*.f32 alpha alpha) cosTheta)) (*.f32 (*.f32 #s(literal -1 binary32) cosTheta) (*.f32 #s(literal -1 binary32) cosTheta))) (-.f32 (*.f32 (*.f32 alpha alpha) cosTheta) (*.f32 #s(literal -1 binary32) cosTheta)))
(/.f32 (+.f32 (pow.f32 (*.f32 cosTheta #s(literal -1 binary32)) #s(literal 3 binary32)) (pow.f32 (*.f32 cosTheta (*.f32 alpha alpha)) #s(literal 3 binary32))) (fma.f32 (*.f32 cosTheta #s(literal -1 binary32)) (*.f32 cosTheta #s(literal -1 binary32)) (-.f32 (*.f32 (*.f32 cosTheta (*.f32 alpha alpha)) (*.f32 cosTheta (*.f32 alpha alpha))) (*.f32 (*.f32 cosTheta #s(literal -1 binary32)) (*.f32 cosTheta (*.f32 alpha alpha))))))
(/.f32 (+.f32 (pow.f32 (*.f32 cosTheta (*.f32 alpha alpha)) #s(literal 3 binary32)) (pow.f32 (*.f32 cosTheta #s(literal -1 binary32)) #s(literal 3 binary32))) (fma.f32 (*.f32 cosTheta (*.f32 alpha alpha)) (*.f32 cosTheta (*.f32 alpha alpha)) (-.f32 (*.f32 (*.f32 cosTheta #s(literal -1 binary32)) (*.f32 cosTheta #s(literal -1 binary32))) (*.f32 (*.f32 cosTheta (*.f32 alpha alpha)) (*.f32 cosTheta #s(literal -1 binary32))))))
(/.f32 (+.f32 (pow.f32 (*.f32 #s(literal -1 binary32) cosTheta) #s(literal 3 binary32)) (pow.f32 (*.f32 (*.f32 alpha alpha) cosTheta) #s(literal 3 binary32))) (fma.f32 (*.f32 #s(literal -1 binary32) cosTheta) (*.f32 #s(literal -1 binary32) cosTheta) (-.f32 (*.f32 (*.f32 (*.f32 alpha alpha) cosTheta) (*.f32 (*.f32 alpha alpha) cosTheta)) (*.f32 (*.f32 #s(literal -1 binary32) cosTheta) (*.f32 (*.f32 alpha alpha) cosTheta)))))
(/.f32 (+.f32 (pow.f32 (*.f32 (*.f32 alpha alpha) cosTheta) #s(literal 3 binary32)) (pow.f32 (*.f32 #s(literal -1 binary32) cosTheta) #s(literal 3 binary32))) (fma.f32 (*.f32 (*.f32 alpha alpha) cosTheta) (*.f32 (*.f32 alpha alpha) cosTheta) (-.f32 (*.f32 (*.f32 #s(literal -1 binary32) cosTheta) (*.f32 #s(literal -1 binary32) cosTheta)) (*.f32 (*.f32 (*.f32 alpha alpha) cosTheta) (*.f32 #s(literal -1 binary32) cosTheta)))))
(fma.f32 cosTheta #s(literal -1 binary32) (*.f32 cosTheta (*.f32 alpha alpha)))
(fma.f32 cosTheta (*.f32 alpha alpha) (*.f32 cosTheta #s(literal -1 binary32)))
(fma.f32 #s(literal -1 binary32) cosTheta (*.f32 (*.f32 alpha alpha) cosTheta))
(fma.f32 (*.f32 alpha alpha) cosTheta (*.f32 #s(literal -1 binary32) cosTheta))
(+.f32 (*.f32 cosTheta #s(literal -1 binary32)) (*.f32 cosTheta (*.f32 alpha alpha)))
(+.f32 (*.f32 cosTheta (*.f32 alpha alpha)) (*.f32 cosTheta #s(literal -1 binary32)))
(+.f32 (*.f32 #s(literal -1 binary32) cosTheta) (*.f32 (*.f32 alpha alpha) cosTheta))
(+.f32 (*.f32 (*.f32 alpha alpha) cosTheta) (*.f32 #s(literal -1 binary32) cosTheta))
(neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 alpha alpha)) cosTheta))

eval304.0ms (3.8%)

Memory
27.9MiB live, 501.1MiB allocated; 89ms collecting garbage
Compiler

Compiled 60 012 to 8 106 computations (86.5% saved)

prune81.0ms (1%)

Memory
-31.3MiB live, 207.0MiB allocated; 21ms collecting garbage
Pruning

41 alts after pruning (40 fresh and 1 done)

PrunedKeptTotal
New2 733332 766
Fresh19726
Picked415
Done000
Total2 756412 797
Accuracy
100.0%
Counts
2 797 → 41
Alt Table
Click to see full alt table
StatusAccuracyProgram
95.8%
(/.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha (*.f32 (-.f32 alpha #s(literal 1 binary32)) #s(literal 1 binary32))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
95.8%
(/.f32 (fma.f32 (-.f32 alpha #s(literal -1 binary32)) alpha (*.f32 (-.f32 alpha #s(literal -1 binary32)) #s(literal -1 binary32))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
98.3%
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha))))
95.9%
(/.f32 (fma.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))))
98.3%
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha)))) (PI.f32))
98.2%
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)) (PI.f32))) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))
97.3%
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (fma.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (*.f32 #s(literal -1 binary32) cosTheta)) cosTheta #s(literal 1 binary32)) (PI.f32))) (log.f32 (*.f32 alpha alpha)))
95.7%
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(approx (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI)) (PI.f32))) (log.f32 (*.f32 alpha alpha)))
95.8%
(/.f32 (/.f32 (-.f32 (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)) (*.f32 #s(literal -1 binary32) #s(literal -1 binary32))) (-.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))))
98.1%
(/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 alpha alpha)) (*.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)) (PI.f32))) (*.f32 #s(literal -2 binary32) (log.f32 alpha)))
98.1%
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)) (PI.f32)) (fma.f32 alpha alpha #s(literal -1 binary32)))) (log.f32 (*.f32 alpha alpha)))
95.6%
(/.f32 (-.f32 (*.f32 (/.f32 (*.f32 alpha alpha) (PI.f32)) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32))) (*.f32 (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha))) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))) (*.f32 (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha))) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32))))
98.4%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32))))
98.4%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha))) (PI.f32)))
95.8%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
97.5%
(/.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))))
95.9%
(/.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))))
95.7%
(/.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))))
96.1%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (*.f32 alpha alpha) #s(approx (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI)) (PI.f32)))))
95.8%
(/.f32 (+.f32 (*.f32 (-.f32 alpha #s(literal -1 binary32)) alpha) (*.f32 (-.f32 alpha #s(literal -1 binary32)) #s(literal -1 binary32))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
98.3%
(/.f32 (+.f32 (*.f32 (-.f32 alpha #s(literal -1 binary32)) alpha) (*.f32 (-.f32 alpha #s(literal -1 binary32)) #s(literal -1 binary32))) (log.f32 (pow.f32 (*.f32 alpha alpha) (*.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)) (PI.f32)))))
95.9%
(/.f32 (*.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (*.f32 alpha alpha))) #s(literal 1 binary32)) (*.f32 (PI.f32) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
95.7%
(/.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))))
95.8%
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha))) (*.f32 alpha alpha)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
66.1%
(/.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))))
65.2%
(/.f32 #s(approx (- (* 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))))
95.8%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha))) (fma.f32 alpha alpha #s(literal -1 binary32))))
95.7%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha))) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32))))
98.2%
(-.f32 (/.f32 (*.f32 alpha (/.f32 alpha (*.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)) (PI.f32)))) (log.f32 (*.f32 alpha alpha))) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)) (PI.f32))) (log.f32 (*.f32 alpha alpha))))
95.8%
(*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))))
98.3%
(*.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32))) (/.f32 (/.f32 #s(literal -1 binary32) (*.f32 #s(literal -2 binary32) (log.f32 alpha))) (PI.f32)))
95.7%
(*.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (PI.f32))) (/.f32 #s(literal -1 binary32) (*.f32 #s(literal -2 binary32) (log.f32 alpha))))
97.9%
(*.f32 (/.f32 (-.f32 alpha #s(literal 1 binary32)) (*.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)) (PI.f32))) (*.f32 (/.f32 #s(literal -1 binary32) (*.f32 #s(literal -2 binary32) (log.f32 alpha))) (-.f32 alpha #s(literal -1 binary32))))
97.0%
(*.f32 (/.f32 (-.f32 alpha #s(literal 1 binary32)) (*.f32 (fma.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (*.f32 #s(literal -1 binary32) cosTheta)) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (-.f32 alpha #s(literal -1 binary32)) (log.f32 (*.f32 alpha alpha))))
95.4%
(*.f32 (/.f32 (-.f32 alpha #s(literal 1 binary32)) (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha)))) (/.f32 (-.f32 alpha #s(literal -1 binary32)) (PI.f32)))
95.5%
(*.f32 (/.f32 (-.f32 alpha #s(literal 1 binary32)) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))) (/.f32 (-.f32 alpha #s(literal -1 binary32)) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32))))
95.4%
(*.f32 (/.f32 (-.f32 alpha #s(literal 1 binary32)) #s(approx (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI)) (PI.f32))) (/.f32 (-.f32 alpha #s(literal -1 binary32)) (log.f32 (*.f32 alpha alpha))))
95.6%
(*.f32 (/.f32 (-.f32 alpha #s(literal -1 binary32)) (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) alpha) (*.f32 #s(literal -2 binary32) (log.f32 alpha))))
98.0%
(*.f32 (-.f32 alpha #s(literal 1 binary32)) (/.f32 (-.f32 alpha #s(literal -1 binary32)) (*.f32 (*.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))))
95.6%
(*.f32 (-.f32 alpha #s(literal -1 binary32)) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (*.f32 (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))))
95.8%
(*.f32 (-.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))) (/.f32 (*.f32 alpha alpha) (*.f32 (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))))) (/.f32 (*.f32 alpha alpha) (*.f32 (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))))
Compiler

Compiled 1 642 to 1 481 computations (9.8% saved)

series100.0ms (1.3%)

Memory
10.2MiB live, 190.0MiB allocated; 30ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08107498
Stop Event
iter-limit
Counts
34 → 138
Calls
Call 1
Inputs
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32))))
(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))
(*.f32 alpha alpha)
alpha
#s(literal 1 binary32)
(*.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32)))
(fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32))
(*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta)
(fma.f32 alpha alpha #s(literal -1 binary32))
#s(literal -1 binary32)
cosTheta
(*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32))
(log.f32 (*.f32 alpha alpha))
(PI.f32)
(/.f32 #s(approx (- (* 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 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)))
#s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))
(*.f32 (/.f32 (-.f32 alpha #s(literal 1 binary32)) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))) (/.f32 (-.f32 alpha #s(literal -1 binary32)) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32))))
(/.f32 (-.f32 alpha #s(literal 1 binary32)) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)))
(-.f32 alpha #s(literal 1 binary32))
(/.f32 (-.f32 alpha #s(literal -1 binary32)) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32)))
(-.f32 alpha #s(literal -1 binary32))
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (fma.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (*.f32 #s(literal -1 binary32) cosTheta)) cosTheta #s(literal 1 binary32)) (PI.f32))) (log.f32 (*.f32 alpha alpha)))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (fma.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (*.f32 #s(literal -1 binary32) cosTheta)) cosTheta #s(literal 1 binary32)) (PI.f32)))
(*.f32 (fma.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (*.f32 #s(literal -1 binary32) cosTheta)) cosTheta #s(literal 1 binary32)) (PI.f32))
(fma.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (*.f32 #s(literal -1 binary32) cosTheta)) cosTheta #s(literal 1 binary32))
#s(approx (* (+ (* alpha alpha) -1) cosTheta) (*.f32 #s(literal -1 binary32) cosTheta))
(*.f32 #s(literal -1 binary32) cosTheta)
(*.f32 (-.f32 alpha #s(literal 1 binary32)) (/.f32 (-.f32 alpha #s(literal -1 binary32)) (*.f32 (*.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))))
(/.f32 (-.f32 alpha #s(literal -1 binary32)) (*.f32 (*.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha))))
(*.f32 (*.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))
(*.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)) (PI.f32))
Outputs
#s(approx (/ (- (* alpha alpha) 1) (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (* (log (* alpha alpha)) (PI)))) (/.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) (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (* (log (* alpha alpha)) (PI)))) (-.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) (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (* (log (* alpha alpha)) (PI)))) (-.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 (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) #s(literal 1 binary32))
#s(approx (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (+.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) (*.f32 cosTheta (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32))))
#s(approx cosTheta cosTheta)
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#s(approx (/ (- alpha 1) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (-.f32 alpha #s(literal 1 binary32)))
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#s(approx (* -1 cosTheta) (*.f32 #s(literal -1 binary32) cosTheta))
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#s(approx alpha alpha)
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#s(approx (log (* alpha alpha)) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))
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#s(approx (/ (- alpha -1) (* (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI)) (log (* alpha alpha)))) (*.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 alpha (*.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))))))) alpha)))
#s(approx (/ (- alpha -1) (* (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI)) (log (* alpha alpha)))) (*.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 alpha (*.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))))))) 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))))))) alpha)))
#s(approx (/ (- alpha -1) (* (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI)) (log (* alpha alpha)))) (*.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 alpha (*.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 (+.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))))))) 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))))))) 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))))))) alpha)))
Calls

6 calls:

TimeVariablePointExpression
17.0ms
alpha
@-inf
((/ (- (* alpha alpha) 1) (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (* (log (* alpha alpha)) (PI)))) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (* (log (* alpha alpha)) (PI))) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (* (+ (* alpha alpha) -1) cosTheta) (+ (* alpha alpha) -1) -1 cosTheta (* (log (* alpha alpha)) (PI)) (log (* alpha alpha)) (PI) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (/ (- alpha 1) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (/ (- alpha -1) (* (log (* alpha alpha)) (PI)))) (/ (- alpha 1) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (- alpha 1) (/ (- alpha -1) (* (log (* alpha alpha)) (PI))) (- alpha -1) (/ (/ (+ (* alpha alpha) -1) (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI))) (log (* alpha alpha))) (/ (+ (* alpha alpha) -1) (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI))) (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI)) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (* (+ (* alpha alpha) -1) cosTheta) (* -1 cosTheta) (* (- alpha 1) (/ (- alpha -1) (* (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI)) (log (* alpha alpha))))) (/ (- alpha -1) (* (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI)) (log (* alpha alpha)))) (* (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI)) (log (* alpha alpha))) (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI)))
13.0ms
alpha
@inf
((/ (- (* alpha alpha) 1) (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (* (log (* alpha alpha)) (PI)))) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (* (log (* alpha alpha)) (PI))) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (* (+ (* alpha alpha) -1) cosTheta) (+ (* alpha alpha) -1) -1 cosTheta (* (log (* alpha alpha)) (PI)) (log (* alpha alpha)) (PI) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (/ (- alpha 1) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (/ (- alpha -1) (* (log (* alpha alpha)) (PI)))) (/ (- alpha 1) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (- alpha 1) (/ (- alpha -1) (* (log (* alpha alpha)) (PI))) (- alpha -1) (/ (/ (+ (* alpha alpha) -1) (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI))) (log (* alpha alpha))) (/ (+ (* alpha alpha) -1) (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI))) (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI)) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (* (+ (* alpha alpha) -1) cosTheta) (* -1 cosTheta) (* (- alpha 1) (/ (- alpha -1) (* (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI)) (log (* alpha alpha))))) (/ (- alpha -1) (* (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI)) (log (* alpha alpha)))) (* (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI)) (log (* alpha alpha))) (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI)))
12.0ms
alpha
@0
((/ (- (* alpha alpha) 1) (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (* (log (* alpha alpha)) (PI)))) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (* (log (* alpha alpha)) (PI))) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (* (+ (* alpha alpha) -1) cosTheta) (+ (* alpha alpha) -1) -1 cosTheta (* (log (* alpha alpha)) (PI)) (log (* alpha alpha)) (PI) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (/ (- alpha 1) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (/ (- alpha -1) (* (log (* alpha alpha)) (PI)))) (/ (- alpha 1) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (- alpha 1) (/ (- alpha -1) (* (log (* alpha alpha)) (PI))) (- alpha -1) (/ (/ (+ (* alpha alpha) -1) (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI))) (log (* alpha alpha))) (/ (+ (* alpha alpha) -1) (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI))) (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI)) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (* (+ (* alpha alpha) -1) cosTheta) (* -1 cosTheta) (* (- alpha 1) (/ (- alpha -1) (* (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI)) (log (* alpha alpha))))) (/ (- alpha -1) (* (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI)) (log (* alpha alpha)))) (* (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI)) (log (* alpha alpha))) (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI)))
6.0ms
cosTheta
@inf
((/ (- (* alpha alpha) 1) (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (* (log (* alpha alpha)) (PI)))) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (* (log (* alpha alpha)) (PI))) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (* (+ (* alpha alpha) -1) cosTheta) (+ (* alpha alpha) -1) -1 cosTheta (* (log (* alpha alpha)) (PI)) (log (* alpha alpha)) (PI) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (/ (- alpha 1) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (/ (- alpha -1) (* (log (* alpha alpha)) (PI)))) (/ (- alpha 1) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (- alpha 1) (/ (- alpha -1) (* (log (* alpha alpha)) (PI))) (- alpha -1) (/ (/ (+ (* alpha alpha) -1) (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI))) (log (* alpha alpha))) (/ (+ (* alpha alpha) -1) (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI))) (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI)) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (* (+ (* alpha alpha) -1) cosTheta) (* -1 cosTheta) (* (- alpha 1) (/ (- alpha -1) (* (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI)) (log (* alpha alpha))))) (/ (- alpha -1) (* (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI)) (log (* alpha alpha)))) (* (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI)) (log (* alpha alpha))) (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI)))
5.0ms
cosTheta
@0
((/ (- (* alpha alpha) 1) (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (* (log (* alpha alpha)) (PI)))) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (* (log (* alpha alpha)) (PI))) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (* (+ (* alpha alpha) -1) cosTheta) (+ (* alpha alpha) -1) -1 cosTheta (* (log (* alpha alpha)) (PI)) (log (* alpha alpha)) (PI) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (/ (- alpha 1) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (/ (- alpha -1) (* (log (* alpha alpha)) (PI)))) (/ (- alpha 1) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (- alpha 1) (/ (- alpha -1) (* (log (* alpha alpha)) (PI))) (- alpha -1) (/ (/ (+ (* alpha alpha) -1) (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI))) (log (* alpha alpha))) (/ (+ (* alpha alpha) -1) (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI))) (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI)) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (* (+ (* alpha alpha) -1) cosTheta) (* -1 cosTheta) (* (- alpha 1) (/ (- alpha -1) (* (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI)) (log (* alpha alpha))))) (/ (- alpha -1) (* (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI)) (log (* alpha alpha)))) (* (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI)) (log (* alpha alpha))) (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI)))

rewrite1.8s (23.2%)

Memory
-513.8MiB live, 667.7MiB allocated; 3.6s collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
041372
072349
1338346
21519346
08056346
Stop Event
iter-limit
node-limit
iter-limit
Counts
34 → 2 629
Calls
Call 1
Inputs
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32))))
(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))
(*.f32 alpha alpha)
alpha
#s(literal 1 binary32)
(*.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32)))
(fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32))
(*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta)
(fma.f32 alpha alpha #s(literal -1 binary32))
#s(literal -1 binary32)
cosTheta
(*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32))
(log.f32 (*.f32 alpha alpha))
(PI.f32)
(/.f32 #s(approx (- (* 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 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)))
#s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))
(*.f32 (/.f32 (-.f32 alpha #s(literal 1 binary32)) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))) (/.f32 (-.f32 alpha #s(literal -1 binary32)) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32))))
(/.f32 (-.f32 alpha #s(literal 1 binary32)) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)))
(-.f32 alpha #s(literal 1 binary32))
(/.f32 (-.f32 alpha #s(literal -1 binary32)) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32)))
(-.f32 alpha #s(literal -1 binary32))
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (fma.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (*.f32 #s(literal -1 binary32) cosTheta)) cosTheta #s(literal 1 binary32)) (PI.f32))) (log.f32 (*.f32 alpha alpha)))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (fma.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (*.f32 #s(literal -1 binary32) cosTheta)) cosTheta #s(literal 1 binary32)) (PI.f32)))
(*.f32 (fma.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (*.f32 #s(literal -1 binary32) cosTheta)) cosTheta #s(literal 1 binary32)) (PI.f32))
(fma.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (*.f32 #s(literal -1 binary32) cosTheta)) cosTheta #s(literal 1 binary32))
#s(approx (* (+ (* alpha alpha) -1) cosTheta) (*.f32 #s(literal -1 binary32) cosTheta))
(*.f32 #s(literal -1 binary32) cosTheta)
(*.f32 (-.f32 alpha #s(literal 1 binary32)) (/.f32 (-.f32 alpha #s(literal -1 binary32)) (*.f32 (*.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))))
(/.f32 (-.f32 alpha #s(literal -1 binary32)) (*.f32 (*.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha))))
(*.f32 (*.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))
(*.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)) (PI.f32))
Outputs
(*.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (log.f32 (*.f32 alpha alpha)) (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32))) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))) (/.f32 #s(literal 1 binary32) (cbrt.f32 (PI.f32))))
(*.f32 (/.f32 (-.f32 alpha #s(literal 1 binary32)) (neg.f32 (*.f32 (log.f32 (*.f32 alpha alpha)) (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32))))) (/.f32 (-.f32 #s(literal -1 binary32) alpha) (PI.f32)))
(*.f32 (/.f32 (-.f32 alpha #s(literal -1 binary32)) (*.f32 (log.f32 (*.f32 alpha alpha)) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))) (/.f32 (/.f32 (-.f32 alpha #s(literal 1 binary32)) (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32))) (cbrt.f32 (PI.f32))))
(*.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (log.f32 (*.f32 alpha alpha)) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32))) (cbrt.f32 (PI.f32))))
(*.f32 (/.f32 (-.f32 #s(literal -1 binary32) alpha) (*.f32 (log.f32 (*.f32 alpha alpha)) (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (neg.f32 (PI.f32))))
(*.f32 (/.f32 (-.f32 alpha #s(literal 1 binary32)) (neg.f32 (log.f32 (*.f32 alpha alpha)))) (/.f32 (-.f32 #s(literal -1 binary32) alpha) (*.f32 (PI.f32) (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)))))
(*.f32 (/.f32 (-.f32 alpha #s(literal 1 binary32)) (neg.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #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 (*.f32 (PI.f32) (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32))))) (/.f32 (-.f32 #s(literal -1 binary32) alpha) (log.f32 (*.f32 alpha alpha))))
(*.f32 (/.f32 (-.f32 alpha #s(literal 1 binary32)) (*.f32 (neg.f32 (PI.f32)) (log.f32 (*.f32 alpha alpha)))) (/.f32 (-.f32 #s(literal -1 binary32) alpha) (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32))))
(*.f32 (/.f32 (-.f32 #s(literal -1 binary32) alpha) (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (*.f32 (neg.f32 (PI.f32)) (log.f32 (*.f32 alpha alpha)))))
(*.f32 (/.f32 (-.f32 alpha #s(literal -1 binary32)) (neg.f32 (*.f32 (log.f32 (*.f32 alpha alpha)) (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32))))) (/.f32 (-.f32 #s(literal 1 binary32) alpha) (PI.f32)))
(*.f32 (/.f32 (-.f32 alpha #s(literal -1 binary32)) (neg.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)))) (/.f32 (-.f32 #s(literal 1 binary32) alpha) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))))
(*.f32 (/.f32 (+.f32 (fabs.f32 alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (log.f32 (*.f32 alpha alpha)) (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32))) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))) (/.f32 (-.f32 (fabs.f32 alpha) #s(literal 1 binary32)) (cbrt.f32 (PI.f32))))
(*.f32 (/.f32 (+.f32 (fabs.f32 alpha) #s(literal 1 binary32)) (*.f32 (log.f32 (*.f32 alpha alpha)) (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)))) (/.f32 (-.f32 (fabs.f32 alpha) #s(literal 1 binary32)) (PI.f32)))
(*.f32 (/.f32 (+.f32 (fabs.f32 alpha) #s(literal 1 binary32)) (*.f32 (PI.f32) (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)))) (/.f32 (-.f32 (fabs.f32 alpha) #s(literal 1 binary32)) (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 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32))))
(*.f32 (/.f32 (+.f32 (fabs.f32 alpha) #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha))) (/.f32 (-.f32 (fabs.f32 alpha) #s(literal 1 binary32)) (*.f32 (PI.f32) (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)))))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) alpha) (*.f32 (*.f32 (log.f32 (*.f32 alpha alpha)) (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32))) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))) (/.f32 (-.f32 (neg.f32 alpha) #s(literal 1 binary32)) (cbrt.f32 (PI.f32))))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) alpha) (*.f32 (log.f32 (*.f32 alpha alpha)) (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)))) (/.f32 (-.f32 (neg.f32 alpha) #s(literal 1 binary32)) (PI.f32)))
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(fma.f32 (*.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (*.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))))
(fma.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (*.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(literal 1 binary32)))
(fma.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(literal 1 binary32) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (*.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta)))
(fma.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (*.f32 (*.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))))
(+.f32 (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (*.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(literal 1 binary32)))
(+.f32 (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (*.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta)))
(+.f32 (*.f32 (*.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta) (*.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 (*.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))))
(log.f32 (exp.f32 (*.f32 (PI.f32) (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)))))
(*.f32 (*.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (cbrt.f32 (PI.f32)))
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 (cbrt.f32 (PI.f32)) (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32))))
(*.f32 (PI.f32) (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)))
(*.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)) (log.f32 (exp.f32 (PI.f32))))
(*.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)) (PI.f32))
(/.f32 (-.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta)) (*.f32 (PI.f32) (*.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta))) (*.f32 (*.f32 (PI.f32) #s(literal 1 binary32)) (*.f32 (PI.f32) #s(literal 1 binary32)))) (-.f32 (*.f32 (PI.f32) (*.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta)) (*.f32 (PI.f32) #s(literal 1 binary32))))
(/.f32 (-.f32 (*.f32 (*.f32 (PI.f32) #s(literal 1 binary32)) (*.f32 (PI.f32) #s(literal 1 binary32))) (*.f32 (*.f32 (PI.f32) (*.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta)) (*.f32 (PI.f32) (*.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta)))) (-.f32 (*.f32 (PI.f32) #s(literal 1 binary32)) (*.f32 (PI.f32) (*.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta))))
(/.f32 (-.f32 (*.f32 (*.f32 (*.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta) (PI.f32)) (*.f32 (*.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta) (PI.f32))) (*.f32 (*.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 #s(literal 1 binary32) (PI.f32)))) (-.f32 (*.f32 (*.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta) (PI.f32)) (*.f32 #s(literal 1 binary32) (PI.f32))))
(/.f32 (-.f32 (*.f32 (*.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 (*.f32 (*.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta) (PI.f32)) (*.f32 (*.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta) (PI.f32)))) (-.f32 (*.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (*.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta) (PI.f32))))
(/.f32 (+.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta)) #s(literal 3 binary32)) (pow.f32 (*.f32 (PI.f32) #s(literal 1 binary32)) #s(literal 3 binary32))) (fma.f32 (*.f32 (PI.f32) (*.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta)) (*.f32 (PI.f32) (*.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta)) (-.f32 (*.f32 (*.f32 (PI.f32) #s(literal 1 binary32)) (*.f32 (PI.f32) #s(literal 1 binary32))) (*.f32 (*.f32 (PI.f32) (*.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta)) (*.f32 (PI.f32) #s(literal 1 binary32))))))
(/.f32 (+.f32 (pow.f32 (*.f32 (PI.f32) #s(literal 1 binary32)) #s(literal 3 binary32)) (pow.f32 (*.f32 (PI.f32) (*.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta)) #s(literal 3 binary32))) (fma.f32 (*.f32 (PI.f32) #s(literal 1 binary32)) (*.f32 (PI.f32) #s(literal 1 binary32)) (-.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta)) (*.f32 (PI.f32) (*.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta))) (*.f32 (*.f32 (PI.f32) #s(literal 1 binary32)) (*.f32 (PI.f32) (*.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta))))))
(/.f32 (+.f32 (pow.f32 (*.f32 (*.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta) (PI.f32)) #s(literal 3 binary32)) (pow.f32 (*.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 3 binary32))) (fma.f32 (*.f32 (*.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta) (PI.f32)) (*.f32 (*.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta) (PI.f32)) (-.f32 (*.f32 (*.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 (*.f32 (*.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta) (PI.f32)) (*.f32 #s(literal 1 binary32) (PI.f32))))))
(/.f32 (+.f32 (pow.f32 (*.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 3 binary32)) (pow.f32 (*.f32 (*.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta) (PI.f32)) #s(literal 3 binary32))) (fma.f32 (*.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 #s(literal 1 binary32) (PI.f32)) (-.f32 (*.f32 (*.f32 (*.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta) (PI.f32)) (*.f32 (*.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta) (PI.f32))) (*.f32 (*.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (*.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta) (PI.f32))))))
(fma.f32 (*.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta) (PI.f32) (*.f32 #s(literal 1 binary32) (PI.f32)))
(fma.f32 (PI.f32) (*.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta) (*.f32 (PI.f32) #s(literal 1 binary32)))
(fma.f32 (PI.f32) #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta)))
(fma.f32 #s(literal 1 binary32) (PI.f32) (*.f32 (*.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta) (PI.f32)))
(+.f32 (*.f32 (PI.f32) (*.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta)) (*.f32 (PI.f32) #s(literal 1 binary32)))
(+.f32 (*.f32 (PI.f32) #s(literal 1 binary32)) (*.f32 (PI.f32) (*.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta)))
(+.f32 (*.f32 (*.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta) (PI.f32)) (*.f32 #s(literal 1 binary32) (PI.f32)))
(+.f32 (*.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (*.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta) (PI.f32)))

eval435.0ms (5.5%)

Memory
40.5MiB live, 481.9MiB allocated; 317ms collecting garbage
Compiler

Compiled 52 500 to 7 505 computations (85.7% saved)

prune102.0ms (1.3%)

Memory
-9.9MiB live, 171.4MiB allocated; 45ms collecting garbage
Pruning

51 alts after pruning (48 fresh and 3 done)

PrunedKeptTotal
New2 372282 400
Fresh152035
Picked325
Done011
Total2 390512 441
Accuracy
100.0%
Counts
2 441 → 51
Alt Table
Click to see full alt table
StatusAccuracyProgram
95.8%
(/.f32 (fma.f32 (-.f32 alpha #s(literal -1 binary32)) alpha (*.f32 (-.f32 alpha #s(literal -1 binary32)) #s(literal -1 binary32))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
98.3%
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32))))
98.3%
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha))))
95.9%
(/.f32 (fma.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))))
97.4%
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 (fma.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha)))))
98.3%
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32))) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
97.3%
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 (*.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (neg.f32 cosTheta)) cosTheta) (PI.f32) (*.f32 #s(literal 1 binary32) (PI.f32)))) (log.f32 (*.f32 alpha alpha)))
97.4%
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
98.3%
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha)))) (PI.f32))
97.3%
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (fma.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)) (PI.f32))) (log.f32 (*.f32 alpha alpha)))
95.9%
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha)))) (PI.f32))
95.7%
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(approx (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI)) (PI.f32))) (log.f32 (*.f32 alpha alpha)))
95.8%
(/.f32 (/.f32 (-.f32 (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)) (*.f32 #s(literal -1 binary32) #s(literal -1 binary32))) (-.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))))
98.1%
(/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 alpha alpha)) (*.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)) (PI.f32))) (*.f32 #s(literal -2 binary32) (log.f32 alpha)))
65.3%
(/.f32 (/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) (PI.f32)) (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha))))
98.4%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32))))
95.8%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
95.9%
(/.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))))
95.7%
(/.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))))
96.1%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (*.f32 alpha alpha) #s(approx (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI)) (PI.f32)))))
97.5%
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 alpha alpha)) (*.f32 (*.f32 (neg.f32 (PI.f32)) (fma.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))) (log.f32 (*.f32 alpha alpha))))
95.8%
(/.f32 (+.f32 (*.f32 (-.f32 alpha #s(literal -1 binary32)) alpha) (*.f32 (-.f32 alpha #s(literal -1 binary32)) #s(literal -1 binary32))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
98.3%
(/.f32 (+.f32 (*.f32 (-.f32 alpha #s(literal -1 binary32)) alpha) (*.f32 (-.f32 alpha #s(literal -1 binary32)) #s(literal -1 binary32))) (log.f32 (pow.f32 (*.f32 alpha alpha) (*.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)) (PI.f32)))))
97.2%
(/.f32 (*.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)))) (log.f32 (*.f32 alpha alpha)))
97.0%
(/.f32 (*.f32 (/.f32 (-.f32 alpha #s(literal 1 binary32)) (PI.f32)) (/.f32 (-.f32 alpha #s(literal -1 binary32)) (fma.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)))) (log.f32 (*.f32 alpha alpha)))
95.7%
(/.f32 (*.f32 (/.f32 (-.f32 alpha #s(literal -1 binary32)) (log.f32 (*.f32 alpha alpha))) (-.f32 alpha #s(literal 1 binary32))) (*.f32 (PI.f32) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
95.4%
(/.f32 (*.f32 (/.f32 (-.f32 alpha #s(literal -1 binary32)) (PI.f32)) (-.f32 alpha #s(literal 1 binary32))) (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha))))
65.2%
(/.f32 (*.f32 (/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) (log.f32 (*.f32 alpha alpha))) #s(literal 1 binary32)) (*.f32 (PI.f32) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
95.7%
(/.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))))
65.2%
(/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
66.1%
(/.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))))
65.2%
(/.f32 #s(approx (- (* 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))))
95.8%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha))) (fma.f32 alpha alpha #s(literal -1 binary32))))
97.4%
(-.f32 (/.f32 (/.f32 (*.f32 alpha alpha) (*.f32 (fma.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)) (PI.f32))) (log.f32 (*.f32 alpha alpha))) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)) (PI.f32))) (log.f32 (*.f32 alpha alpha))))
97.2%
(*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)) (PI.f32))) (log.f32 (*.f32 alpha alpha))))
95.8%
(*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))))
95.7%
(*.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (PI.f32))) (/.f32 #s(literal -1 binary32) (*.f32 #s(literal -2 binary32) (log.f32 alpha))))
95.4%
(*.f32 (/.f32 (-.f32 alpha #s(literal 1 binary32)) (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha)))) (/.f32 (-.f32 alpha #s(literal -1 binary32)) (PI.f32)))
95.3%
(*.f32 (/.f32 (-.f32 alpha #s(literal 1 binary32)) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))) (/.f32 (fma.f32 (/.f32 alpha (PI.f32)) (log.f32 (*.f32 alpha alpha)) (*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (log.f32 (*.f32 alpha alpha)))) (*.f32 (log.f32 (*.f32 alpha alpha)) (log.f32 (*.f32 alpha alpha)))))
95.4%
(*.f32 (/.f32 (-.f32 alpha #s(literal 1 binary32)) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))) (/.f32 (/.f32 (-.f32 alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha))))
95.5%
(*.f32 (/.f32 (-.f32 alpha #s(literal 1 binary32)) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (-.f32 alpha #s(literal -1 binary32)))))
95.5%
(*.f32 (/.f32 (-.f32 alpha #s(literal 1 binary32)) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 (-.f32 alpha #s(literal -1 binary32)) (log.f32 (*.f32 alpha alpha))))))
95.4%
(*.f32 (/.f32 (-.f32 alpha #s(literal 1 binary32)) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))) (*.f32 (/.f32 (-.f32 alpha #s(literal -1 binary32)) (PI.f32)) (/.f32 #s(literal 1 binary32) (log.f32 (*.f32 alpha alpha)))))
95.5%
(*.f32 (/.f32 (-.f32 alpha #s(literal 1 binary32)) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) (-.f32 alpha #s(literal -1 binary32))))
95.4%
(*.f32 (/.f32 (-.f32 alpha #s(literal 1 binary32)) #s(approx (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI)) (PI.f32))) (/.f32 (-.f32 alpha #s(literal -1 binary32)) (log.f32 (*.f32 alpha alpha))))
97.2%
(*.f32 (/.f32 (-.f32 alpha #s(literal -1 binary32)) (fma.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))))
95.6%
(*.f32 (/.f32 (-.f32 alpha #s(literal -1 binary32)) (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) alpha) (*.f32 #s(literal -2 binary32) (log.f32 alpha))))
95.4%
(*.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) alpha)) alpha) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))) (/.f32 (-.f32 alpha #s(literal -1 binary32)) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32))))
95.3%
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (-.f32 alpha #s(literal 1 binary32)))) (/.f32 (-.f32 alpha #s(literal -1 binary32)) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32))))
97.2%
(*.f32 (-.f32 alpha #s(literal -1 binary32)) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (*.f32 (PI.f32) (*.f32 (fma.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha))))))
95.5%
(*.f32 #s(approx (/ (- alpha 1) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (-.f32 alpha #s(literal 1 binary32))) (/.f32 (-.f32 alpha #s(literal -1 binary32)) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32))))
Compiler

Compiled 1 965 to 1 879 computations (4.4% saved)

series505.0ms (6.4%)

Memory
-92.7MiB live, 477.0MiB allocated; 151ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0139014235
Stop Event
iter-limit
Counts
45 → 223
Calls
Call 1
Inputs
(/.f32 (+.f32 (*.f32 (-.f32 alpha #s(literal -1 binary32)) alpha) (*.f32 (-.f32 alpha #s(literal -1 binary32)) #s(literal -1 binary32))) (log.f32 (pow.f32 (*.f32 alpha alpha) (*.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)) (PI.f32)))))
(+.f32 (*.f32 (-.f32 alpha #s(literal -1 binary32)) alpha) (*.f32 (-.f32 alpha #s(literal -1 binary32)) #s(literal -1 binary32)))
(*.f32 (-.f32 alpha #s(literal -1 binary32)) alpha)
(-.f32 alpha #s(literal -1 binary32))
alpha
#s(literal -1 binary32)
(*.f32 (-.f32 alpha #s(literal -1 binary32)) #s(literal -1 binary32))
(log.f32 (pow.f32 (*.f32 alpha alpha) (*.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)) (PI.f32))))
(pow.f32 (*.f32 alpha alpha) (*.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)) (PI.f32)))
(*.f32 alpha alpha)
(*.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)) (PI.f32))
(fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32))
(*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta)
(fma.f32 alpha alpha #s(literal -1 binary32))
cosTheta
#s(literal 1 binary32)
(PI.f32)
(/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
#s(approx (- (* alpha alpha) 1) #s(literal -1 binary32))
(*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)))
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))
(*.f32 #s(literal 2 binary32) (log.f32 alpha))
#s(literal 2 binary32)
(log.f32 alpha)
#s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))
(*.f32 (/.f32 (-.f32 alpha #s(literal -1 binary32)) (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) alpha) (*.f32 #s(literal -2 binary32) (log.f32 alpha))))
(/.f32 (-.f32 alpha #s(literal -1 binary32)) (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (PI.f32)))
(*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (PI.f32))
(/.f32 (-.f32 #s(literal 1 binary32) alpha) (*.f32 #s(literal -2 binary32) (log.f32 alpha)))
(-.f32 #s(literal 1 binary32) alpha)
(*.f32 #s(literal -2 binary32) (log.f32 alpha))
#s(literal -2 binary32)
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 alpha alpha)) (*.f32 (*.f32 (neg.f32 (PI.f32)) (fma.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))) (log.f32 (*.f32 alpha alpha))))
(-.f32 #s(literal 1 binary32) (*.f32 alpha alpha))
(*.f32 (*.f32 (neg.f32 (PI.f32)) (fma.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))) (log.f32 (*.f32 alpha alpha)))
(*.f32 (neg.f32 (PI.f32)) (fma.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)))
(neg.f32 (PI.f32))
(fma.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))
#s(approx (* (+ (* alpha alpha) -1) cosTheta) (neg.f32 cosTheta))
(neg.f32 cosTheta)
(log.f32 (*.f32 alpha alpha))
(/.f32 (*.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)))) (log.f32 (*.f32 alpha alpha)))
(*.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32))
(/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)))
Outputs
#s(approx (/ (+ (* (- alpha -1) alpha) (* (- alpha -1) -1)) (log (pow (* alpha alpha) (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI))))) (/.f32 (fma.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) alpha) (*.f32 alpha (+.f32 #s(literal 1 binary32) alpha))) (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32)))))
#s(approx (/ (+ (* (- alpha -1) alpha) (* (- alpha -1) -1)) (log (pow (* alpha alpha) (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI))))) (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 (fma.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) alpha) (*.f32 alpha (+.f32 #s(literal 1 binary32) alpha))) (-.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 #s(literal 1 binary32) alpha) (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32)))) (/.f32 (*.f32 alpha (+.f32 #s(literal 1 binary32) alpha)) (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32)))))))
#s(approx (/ (+ (* (- alpha -1) alpha) (* (- alpha -1) -1)) (log (pow (* alpha alpha) (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI))))) (fma.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) alpha) (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (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 (fma.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) alpha) (*.f32 alpha (+.f32 #s(literal 1 binary32) alpha))) (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)))))) (fma.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) alpha) (*.f32 alpha (+.f32 #s(literal 1 binary32) alpha)))) (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 (fma.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) alpha) (*.f32 alpha (+.f32 #s(literal 1 binary32) alpha))) (-.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 (+.f32 #s(literal 1 binary32) alpha)) (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32)))))))
#s(approx (/ (+ (* (- alpha -1) alpha) (* (- alpha -1) -1)) (log (pow (* alpha alpha) (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI))))) (fma.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) alpha) (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (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 (fma.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) alpha) (*.f32 alpha (+.f32 #s(literal 1 binary32) alpha))) (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)))))) (fma.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) alpha) (*.f32 alpha (+.f32 #s(literal 1 binary32) alpha)))) (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 (fma.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) alpha) (*.f32 alpha (+.f32 #s(literal 1 binary32) alpha))) (-.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))))))) (fma.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) alpha) (*.f32 alpha (+.f32 #s(literal 1 binary32) alpha)))) (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 (fma.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) alpha) (*.f32 alpha (+.f32 #s(literal 1 binary32) alpha))) (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)))))) (fma.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) alpha) (*.f32 alpha (+.f32 #s(literal 1 binary32) alpha)))) (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 (fma.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) alpha) (*.f32 alpha (+.f32 #s(literal 1 binary32) alpha))) (-.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 (+.f32 #s(literal 1 binary32) alpha)) (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32)))))))
#s(approx (log (pow (* alpha alpha) (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI)))) (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))))
#s(approx (log (pow (* alpha alpha) (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 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) (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 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))))))))
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#s(approx (* (- alpha -1) alpha) alpha)
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Calls

6 calls:

TimeVariablePointExpression
257.0ms
cosTheta
@-inf
((/ (+ (* (- alpha -1) alpha) (* (- alpha -1) -1)) (log (pow (* alpha alpha) (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI))))) (+ (* (- alpha -1) alpha) (* (- alpha -1) -1)) (* (- alpha -1) alpha) (- alpha -1) alpha -1 (* (- alpha -1) -1) (log (pow (* alpha alpha) (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI)))) (pow (* alpha alpha) (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI))) (* alpha alpha) (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI)) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (* (+ (* alpha alpha) -1) cosTheta) (+ (* alpha alpha) -1) cosTheta 1 (PI) (/ (- (* alpha alpha) 1) (* (* (PI) (* 2 (log alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* (* (PI) (* 2 (log alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (PI) (* 2 (log alpha))) (* 2 (log alpha)) 2 (log alpha) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (/ (- alpha -1) (* (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (PI))) (/ (- 1 alpha) (* -2 (log alpha)))) (/ (- alpha -1) (* (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (PI))) (* (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (PI)) (/ (- 1 alpha) (* -2 (log alpha))) (- 1 alpha) (* -2 (log alpha)) -2 (/ (- 1 (* alpha alpha)) (* (* (neg (PI)) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1)) (log (* alpha alpha)))) (- 1 (* alpha alpha)) (* (* (neg (PI)) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1)) (log (* alpha alpha))) (* (neg (PI)) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1)) (neg (PI)) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (* (+ (* alpha alpha) -1) cosTheta) (neg cosTheta) (log (* alpha alpha)) (/ (* (/ (+ (* alpha alpha) -1) (PI)) (/ 1 (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1))) (log (* alpha alpha))) (* (/ (+ (* alpha alpha) -1) (PI)) (/ 1 (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1))) (/ (+ (* alpha alpha) -1) (PI)) (/ 1 (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1)))
40.0ms
alpha
@inf
((/ (+ (* (- alpha -1) alpha) (* (- alpha -1) -1)) (log (pow (* alpha alpha) (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI))))) (+ (* (- alpha -1) alpha) (* (- alpha -1) -1)) (* (- alpha -1) alpha) (- alpha -1) alpha -1 (* (- alpha -1) -1) (log (pow (* alpha alpha) (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI)))) (pow (* alpha alpha) (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI))) (* alpha alpha) (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI)) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (* (+ (* alpha alpha) -1) cosTheta) (+ (* alpha alpha) -1) cosTheta 1 (PI) (/ (- (* alpha alpha) 1) (* (* (PI) (* 2 (log alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* (* (PI) (* 2 (log alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (PI) (* 2 (log alpha))) (* 2 (log alpha)) 2 (log alpha) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (/ (- alpha -1) (* (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (PI))) (/ (- 1 alpha) (* -2 (log alpha)))) (/ (- alpha -1) (* (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (PI))) (* (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (PI)) (/ (- 1 alpha) (* -2 (log alpha))) (- 1 alpha) (* -2 (log alpha)) -2 (/ (- 1 (* alpha alpha)) (* (* (neg (PI)) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1)) (log (* alpha alpha)))) (- 1 (* alpha alpha)) (* (* (neg (PI)) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1)) (log (* alpha alpha))) (* (neg (PI)) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1)) (neg (PI)) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (* (+ (* alpha alpha) -1) cosTheta) (neg cosTheta) (log (* alpha alpha)) (/ (* (/ (+ (* alpha alpha) -1) (PI)) (/ 1 (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1))) (log (* alpha alpha))) (* (/ (+ (* alpha alpha) -1) (PI)) (/ 1 (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1))) (/ (+ (* alpha alpha) -1) (PI)) (/ 1 (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1)))
34.0ms
cosTheta
@0
((/ (+ (* (- alpha -1) alpha) (* (- alpha -1) -1)) (log (pow (* alpha alpha) (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI))))) (+ (* (- alpha -1) alpha) (* (- alpha -1) -1)) (* (- alpha -1) alpha) (- alpha -1) alpha -1 (* (- alpha -1) -1) (log (pow (* alpha alpha) (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI)))) (pow (* alpha alpha) (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI))) (* alpha alpha) (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI)) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (* (+ (* alpha alpha) -1) cosTheta) (+ (* alpha alpha) -1) cosTheta 1 (PI) (/ (- (* alpha alpha) 1) (* (* (PI) (* 2 (log alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* (* (PI) (* 2 (log alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (PI) (* 2 (log alpha))) (* 2 (log alpha)) 2 (log alpha) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (/ (- alpha -1) (* (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (PI))) (/ (- 1 alpha) (* -2 (log alpha)))) (/ (- alpha -1) (* (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (PI))) (* (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (PI)) (/ (- 1 alpha) (* -2 (log alpha))) (- 1 alpha) (* -2 (log alpha)) -2 (/ (- 1 (* alpha alpha)) (* (* (neg (PI)) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1)) (log (* alpha alpha)))) (- 1 (* alpha alpha)) (* (* (neg (PI)) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1)) (log (* alpha alpha))) (* (neg (PI)) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1)) (neg (PI)) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (* (+ (* alpha alpha) -1) cosTheta) (neg cosTheta) (log (* alpha alpha)) (/ (* (/ (+ (* alpha alpha) -1) (PI)) (/ 1 (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1))) (log (* alpha alpha))) (* (/ (+ (* alpha alpha) -1) (PI)) (/ 1 (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1))) (/ (+ (* alpha alpha) -1) (PI)) (/ 1 (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1)))
33.0ms
alpha
@-inf
((/ (+ (* (- alpha -1) alpha) (* (- alpha -1) -1)) (log (pow (* alpha alpha) (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI))))) (+ (* (- alpha -1) alpha) (* (- alpha -1) -1)) (* (- alpha -1) alpha) (- alpha -1) alpha -1 (* (- alpha -1) -1) (log (pow (* alpha alpha) (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI)))) (pow (* alpha alpha) (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI))) (* alpha alpha) (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI)) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (* (+ (* alpha alpha) -1) cosTheta) (+ (* alpha alpha) -1) cosTheta 1 (PI) (/ (- (* alpha alpha) 1) (* (* (PI) (* 2 (log alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* (* (PI) (* 2 (log alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (PI) (* 2 (log alpha))) (* 2 (log alpha)) 2 (log alpha) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (/ (- alpha -1) (* (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (PI))) (/ (- 1 alpha) (* -2 (log alpha)))) (/ (- alpha -1) (* (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (PI))) (* (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (PI)) (/ (- 1 alpha) (* -2 (log alpha))) (- 1 alpha) (* -2 (log alpha)) -2 (/ (- 1 (* alpha alpha)) (* (* (neg (PI)) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1)) (log (* alpha alpha)))) (- 1 (* alpha alpha)) (* (* (neg (PI)) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1)) (log (* alpha alpha))) (* (neg (PI)) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1)) (neg (PI)) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (* (+ (* alpha alpha) -1) cosTheta) (neg cosTheta) (log (* alpha alpha)) (/ (* (/ (+ (* alpha alpha) -1) (PI)) (/ 1 (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1))) (log (* alpha alpha))) (* (/ (+ (* alpha alpha) -1) (PI)) (/ 1 (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1))) (/ (+ (* alpha alpha) -1) (PI)) (/ 1 (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1)))
27.0ms
alpha
@0
((/ (+ (* (- alpha -1) alpha) (* (- alpha -1) -1)) (log (pow (* alpha alpha) (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI))))) (+ (* (- alpha -1) alpha) (* (- alpha -1) -1)) (* (- alpha -1) alpha) (- alpha -1) alpha -1 (* (- alpha -1) -1) (log (pow (* alpha alpha) (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI)))) (pow (* alpha alpha) (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI))) (* alpha alpha) (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI)) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (* (+ (* alpha alpha) -1) cosTheta) (+ (* alpha alpha) -1) cosTheta 1 (PI) (/ (- (* alpha alpha) 1) (* (* (PI) (* 2 (log alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* (* (PI) (* 2 (log alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (PI) (* 2 (log alpha))) (* 2 (log alpha)) 2 (log alpha) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (/ (- alpha -1) (* (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (PI))) (/ (- 1 alpha) (* -2 (log alpha)))) (/ (- alpha -1) (* (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (PI))) (* (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (PI)) (/ (- 1 alpha) (* -2 (log alpha))) (- 1 alpha) (* -2 (log alpha)) -2 (/ (- 1 (* alpha alpha)) (* (* (neg (PI)) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1)) (log (* alpha alpha)))) (- 1 (* alpha alpha)) (* (* (neg (PI)) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1)) (log (* alpha alpha))) (* (neg (PI)) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1)) (neg (PI)) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (* (+ (* alpha alpha) -1) cosTheta) (neg cosTheta) (log (* alpha alpha)) (/ (* (/ (+ (* alpha alpha) -1) (PI)) (/ 1 (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1))) (log (* alpha alpha))) (* (/ (+ (* alpha alpha) -1) (PI)) (/ 1 (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1))) (/ (+ (* alpha alpha) -1) (PI)) (/ 1 (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1)))

rewrite331.0ms (4.2%)

Memory
3.4MiB live, 609.9MiB allocated; 52ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
052442
091421
1419403
22077403
08096403
Stop Event
iter-limit
node-limit
iter-limit
Counts
45 → 2 408
Calls
Call 1
Inputs
(/.f32 (+.f32 (*.f32 (-.f32 alpha #s(literal -1 binary32)) alpha) (*.f32 (-.f32 alpha #s(literal -1 binary32)) #s(literal -1 binary32))) (log.f32 (pow.f32 (*.f32 alpha alpha) (*.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)) (PI.f32)))))
(+.f32 (*.f32 (-.f32 alpha #s(literal -1 binary32)) alpha) (*.f32 (-.f32 alpha #s(literal -1 binary32)) #s(literal -1 binary32)))
(*.f32 (-.f32 alpha #s(literal -1 binary32)) alpha)
(-.f32 alpha #s(literal -1 binary32))
alpha
#s(literal -1 binary32)
(*.f32 (-.f32 alpha #s(literal -1 binary32)) #s(literal -1 binary32))
(log.f32 (pow.f32 (*.f32 alpha alpha) (*.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)) (PI.f32))))
(pow.f32 (*.f32 alpha alpha) (*.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)) (PI.f32)))
(*.f32 alpha alpha)
(*.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)) (PI.f32))
(fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32))
(*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta)
(fma.f32 alpha alpha #s(literal -1 binary32))
cosTheta
#s(literal 1 binary32)
(PI.f32)
(/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
#s(approx (- (* alpha alpha) 1) #s(literal -1 binary32))
(*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)))
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))
(*.f32 #s(literal 2 binary32) (log.f32 alpha))
#s(literal 2 binary32)
(log.f32 alpha)
#s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))
(*.f32 (/.f32 (-.f32 alpha #s(literal -1 binary32)) (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) alpha) (*.f32 #s(literal -2 binary32) (log.f32 alpha))))
(/.f32 (-.f32 alpha #s(literal -1 binary32)) (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (PI.f32)))
(*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (PI.f32))
(/.f32 (-.f32 #s(literal 1 binary32) alpha) (*.f32 #s(literal -2 binary32) (log.f32 alpha)))
(-.f32 #s(literal 1 binary32) alpha)
(*.f32 #s(literal -2 binary32) (log.f32 alpha))
#s(literal -2 binary32)
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 alpha alpha)) (*.f32 (*.f32 (neg.f32 (PI.f32)) (fma.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))) (log.f32 (*.f32 alpha alpha))))
(-.f32 #s(literal 1 binary32) (*.f32 alpha alpha))
(*.f32 (*.f32 (neg.f32 (PI.f32)) (fma.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))) (log.f32 (*.f32 alpha alpha)))
(*.f32 (neg.f32 (PI.f32)) (fma.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)))
(neg.f32 (PI.f32))
(fma.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))
#s(approx (* (+ (* alpha alpha) -1) cosTheta) (neg.f32 cosTheta))
(neg.f32 cosTheta)
(log.f32 (*.f32 alpha alpha))
(/.f32 (*.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)))) (log.f32 (*.f32 alpha alpha)))
(*.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32))
(/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)))
Outputs
(*.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 (-.f32 alpha #s(literal -1 binary32)) alpha) (*.f32 (*.f32 (PI.f32) (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32))) (*.f32 (log.f32 alpha) #s(literal 2 binary32)))) (/.f32 (-.f32 #s(literal -1 binary32) alpha) (*.f32 (*.f32 (PI.f32) (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32))) (*.f32 (log.f32 alpha) #s(literal 2 binary32)))))) (/.f32 (-.f32 #s(literal -1 binary32) alpha) (*.f32 (*.f32 (PI.f32) (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32))) (*.f32 (log.f32 alpha) #s(literal 2 binary32)))))
(*.f32 (-.f32 #s(literal 1 binary32) (/.f32 (/.f32 (-.f32 alpha #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32))) (*.f32 (log.f32 alpha) #s(literal 2 binary32)))) (/.f32 (*.f32 (-.f32 alpha #s(literal -1 binary32)) alpha) (*.f32 (*.f32 (PI.f32) (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32))) (*.f32 (log.f32 alpha) #s(literal 2 binary32)))))) (/.f32 (*.f32 (-.f32 alpha #s(literal -1 binary32)) alpha) (*.f32 (*.f32 (PI.f32) (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32))) (*.f32 (log.f32 alpha) #s(literal 2 binary32)))))
(*.f32 (-.f32 #s(literal 1 binary32) (/.f32 (neg.f32 (/.f32 (-.f32 #s(literal -1 binary32) alpha) (*.f32 (*.f32 (PI.f32) (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32))) (*.f32 (log.f32 alpha) #s(literal 2 binary32))))) (/.f32 (*.f32 (-.f32 alpha #s(literal -1 binary32)) alpha) (*.f32 (*.f32 (PI.f32) (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32))) (*.f32 (log.f32 alpha) #s(literal 2 binary32)))))) (/.f32 (*.f32 (-.f32 alpha #s(literal -1 binary32)) alpha) (*.f32 (*.f32 (PI.f32) (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32))) (*.f32 (log.f32 alpha) #s(literal 2 binary32)))))
(*.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 (-.f32 #s(literal -1 binary32) alpha) (*.f32 (*.f32 (PI.f32) (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32))) (*.f32 (log.f32 alpha) #s(literal 2 binary32)))) (/.f32 (*.f32 (-.f32 alpha #s(literal -1 binary32)) alpha) (*.f32 (*.f32 (PI.f32) (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32))) (*.f32 (log.f32 alpha) #s(literal 2 binary32)))))) (/.f32 (*.f32 (-.f32 alpha #s(literal -1 binary32)) alpha) (*.f32 (*.f32 (PI.f32) (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32))) (*.f32 (log.f32 alpha) #s(literal 2 binary32)))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (PI.f32) (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32))) (*.f32 (log.f32 alpha) #s(literal 2 binary32)))) (fma.f32 alpha alpha #s(literal -1 binary32)))
(*.f32 (-.f32 #s(literal 1 binary32) (*.f32 alpha alpha)) (/.f32 #s(literal -1 binary32) (*.f32 (*.f32 (PI.f32) (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32))) (*.f32 (log.f32 alpha) #s(literal 2 binary32)))))
(*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (PI.f32) (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32))) (*.f32 (log.f32 alpha) #s(literal 2 binary32)))))
(*.f32 (-.f32 alpha #s(literal -1 binary32)) (*.f32 (-.f32 alpha #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (PI.f32) (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32))) (*.f32 (log.f32 alpha) #s(literal 2 binary32))))))
(*.f32 (-.f32 alpha #s(literal -1 binary32)) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32))) (*.f32 (log.f32 alpha) #s(literal 2 binary32)))))
(/.f32 (fma.f32 (/.f32 (-.f32 #s(literal -1 binary32) alpha) (*.f32 (*.f32 (PI.f32) (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32))) (*.f32 (log.f32 alpha) #s(literal 2 binary32)))) (neg.f32 (*.f32 (*.f32 (PI.f32) (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32))) (*.f32 (log.f32 alpha) #s(literal 2 binary32)))) (neg.f32 (*.f32 (-.f32 alpha #s(literal -1 binary32)) alpha))) (neg.f32 (*.f32 (*.f32 (PI.f32) (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32))) (*.f32 (log.f32 alpha) #s(literal 2 binary32)))))
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alpha
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(/.f32 (-.f32 (*.f32 (/.f32 (*.f32 alpha alpha) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (PI.f32)) (*.f32 (cbrt.f32 (PI.f32)) #s(literal 1 binary32))) (pow.f32 (PI.f32) #s(literal 4/3 binary32)))
(/.f32 (-.f32 (*.f32 (/.f32 (*.f32 alpha alpha) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (neg.f32 (PI.f32))) (*.f32 (cbrt.f32 (PI.f32)) #s(literal -1 binary32))) (*.f32 (cbrt.f32 (PI.f32)) (neg.f32 (PI.f32))))
(/.f32 (-.f32 (*.f32 (*.f32 (neg.f32 alpha) alpha) (cbrt.f32 (PI.f32))) (*.f32 (neg.f32 (PI.f32)) (/.f32 #s(literal 1 binary32) (pow.f32 (PI.f32) #s(literal 2/3 binary32))))) (*.f32 (neg.f32 (PI.f32)) (cbrt.f32 (PI.f32))))
(/.f32 (-.f32 (*.f32 (*.f32 (neg.f32 alpha) alpha) (PI.f32)) (neg.f32 (PI.f32))) (*.f32 (neg.f32 (PI.f32)) (PI.f32)))
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(/.f32 (-.f32 (*.f32 (*.f32 alpha alpha) (cbrt.f32 (PI.f32))) (*.f32 (PI.f32) (/.f32 #s(literal 1 binary32) (pow.f32 (PI.f32) #s(literal 2/3 binary32))))) (*.f32 (PI.f32) (cbrt.f32 (PI.f32))))
(/.f32 (-.f32 (*.f32 (*.f32 alpha alpha) (PI.f32)) (*.f32 (PI.f32) #s(literal 1 binary32))) (*.f32 (PI.f32) (PI.f32)))
(/.f32 (-.f32 (*.f32 (*.f32 alpha alpha) (neg.f32 (PI.f32))) (*.f32 (PI.f32) #s(literal -1 binary32))) (*.f32 (PI.f32) (neg.f32 (PI.f32))))
(/.f32 (*.f32 (fma.f32 (/.f32 (*.f32 alpha alpha) (PI.f32)) (PI.f32) #s(literal -1 binary32)) #s(literal 2 binary32)) (*.f32 #s(literal 2 binary32) (PI.f32)))
(/.f32 (*.f32 (fma.f32 (*.f32 alpha alpha) (PI.f32) (neg.f32 (PI.f32))) #s(literal 2 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32)))
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(/.f32 (*.f32 #s(literal 2 binary32) (fma.f32 alpha alpha #s(literal -1 binary32))) (*.f32 #s(literal 2 binary32) (PI.f32)))
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(/.f32 (fma.f32 (/.f32 (*.f32 alpha alpha) (PI.f32)) (PI.f32) #s(literal -1 binary32)) (PI.f32))
(/.f32 (fma.f32 (*.f32 alpha alpha) (PI.f32) (neg.f32 (PI.f32))) (*.f32 (PI.f32) (PI.f32)))
(/.f32 (-.f32 (*.f32 (/.f32 (*.f32 alpha alpha) (PI.f32)) (/.f32 (*.f32 alpha alpha) (PI.f32))) (*.f32 (/.f32 #s(literal -1 binary32) (PI.f32)) (/.f32 #s(literal -1 binary32) (PI.f32)))) (-.f32 (/.f32 (*.f32 alpha alpha) (PI.f32)) (/.f32 #s(literal -1 binary32) (PI.f32))))
(/.f32 (+.f32 (pow.f32 (/.f32 (*.f32 alpha alpha) (PI.f32)) #s(literal 3 binary32)) (pow.f32 (/.f32 #s(literal -1 binary32) (PI.f32)) #s(literal 3 binary32))) (fma.f32 (/.f32 (*.f32 alpha alpha) (PI.f32)) (/.f32 (*.f32 alpha alpha) (PI.f32)) (-.f32 (*.f32 (/.f32 #s(literal -1 binary32) (PI.f32)) (/.f32 #s(literal -1 binary32) (PI.f32))) (*.f32 (/.f32 (*.f32 alpha alpha) (PI.f32)) (/.f32 #s(literal -1 binary32) (PI.f32))))))
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (cbrt.f32 (PI.f32)))
(/.f32 (fma.f32 (*.f32 alpha alpha) (PI.f32) (*.f32 (PI.f32) #s(literal -1 binary32))) (*.f32 (PI.f32) (PI.f32)))
(/.f32 (*.f32 (-.f32 #s(literal -1 binary32) alpha) (-.f32 #s(literal 1 binary32) alpha)) (*.f32 #s(literal 1 binary32) (PI.f32)))
(/.f32 (*.f32 (-.f32 #s(literal -1 binary32) alpha) (-.f32 #s(literal 1 binary32) alpha)) (*.f32 (neg.f32 (PI.f32)) #s(literal -1 binary32)))
(/.f32 (*.f32 (-.f32 #s(literal -1 binary32) alpha) (-.f32 #s(literal 1 binary32) alpha)) (*.f32 (PI.f32) #s(literal 1 binary32)))
(/.f32 (*.f32 (-.f32 #s(literal -1 binary32) alpha) (-.f32 #s(literal 1 binary32) alpha)) (*.f32 #s(literal -1 binary32) (neg.f32 (PI.f32))))
(/.f32 (*.f32 (-.f32 #s(literal -1 binary32) alpha) (-.f32 #s(literal 1 binary32) alpha)) (PI.f32))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 alpha alpha)) #s(literal 1 binary32)) (neg.f32 (PI.f32)))
(/.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal -1 binary32)) (neg.f32 (PI.f32)))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 alpha alpha)) (neg.f32 (neg.f32 (neg.f32 (PI.f32)))))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 alpha alpha)) (neg.f32 (PI.f32)))
(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 (PI.f32)) (-.f32 #s(literal 1 binary32) (*.f32 alpha alpha))))
(/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (fma.f32 alpha alpha #s(literal -1 binary32))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 #s(literal 1 binary32) (PI.f32)))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (neg.f32 (PI.f32)) #s(literal -1 binary32)))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) #s(literal 1 binary32)))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 #s(literal -1 binary32) (neg.f32 (PI.f32))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (neg.f32 (neg.f32 (PI.f32))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32))
(-.f32 (/.f32 (-.f32 alpha #s(literal -1 binary32)) (neg.f32 (PI.f32))) (/.f32 (*.f32 (-.f32 alpha #s(literal -1 binary32)) alpha) (neg.f32 (PI.f32))))
(-.f32 (/.f32 (-.f32 #s(literal -1 binary32) alpha) (neg.f32 (neg.f32 (PI.f32)))) (/.f32 (*.f32 (-.f32 #s(literal -1 binary32) alpha) alpha) (neg.f32 (neg.f32 (PI.f32)))))
(-.f32 (/.f32 (-.f32 #s(literal -1 binary32) alpha) (neg.f32 (neg.f32 (PI.f32)))) (/.f32 (*.f32 (neg.f32 alpha) (-.f32 alpha #s(literal -1 binary32))) (neg.f32 (neg.f32 (PI.f32)))))
(-.f32 (/.f32 (-.f32 #s(literal -1 binary32) alpha) (neg.f32 (neg.f32 (PI.f32)))) (/.f32 (neg.f32 (*.f32 (-.f32 alpha #s(literal -1 binary32)) alpha)) (neg.f32 (neg.f32 (PI.f32)))))
(-.f32 (/.f32 (*.f32 (-.f32 alpha #s(literal -1 binary32)) alpha) (neg.f32 (neg.f32 (PI.f32)))) (/.f32 (-.f32 alpha #s(literal -1 binary32)) (neg.f32 (neg.f32 (PI.f32)))))
(-.f32 (/.f32 (-.f32 #s(literal -1 binary32) alpha) (PI.f32)) (/.f32 (*.f32 (-.f32 #s(literal -1 binary32) alpha) alpha) (PI.f32)))
(-.f32 (/.f32 (-.f32 #s(literal -1 binary32) alpha) (PI.f32)) (/.f32 (*.f32 (neg.f32 alpha) (-.f32 alpha #s(literal -1 binary32))) (PI.f32)))
(-.f32 (/.f32 (-.f32 #s(literal -1 binary32) alpha) (PI.f32)) (/.f32 (neg.f32 (*.f32 (-.f32 alpha #s(literal -1 binary32)) alpha)) (PI.f32)))
(-.f32 (/.f32 (*.f32 (-.f32 alpha #s(literal -1 binary32)) alpha) (PI.f32)) (/.f32 (-.f32 alpha #s(literal -1 binary32)) (PI.f32)))
(-.f32 (/.f32 #s(literal -1 binary32) (PI.f32)) (/.f32 (*.f32 (neg.f32 (neg.f32 alpha)) alpha) (neg.f32 (PI.f32))))
(-.f32 (/.f32 #s(literal -1 binary32) (PI.f32)) (/.f32 (*.f32 (neg.f32 alpha) alpha) (PI.f32)))
(-.f32 (/.f32 (*.f32 alpha alpha) (PI.f32)) (/.f32 #s(literal 1 binary32) (PI.f32)))
(fma.f32 (/.f32 (fabs.f32 alpha) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (/.f32 (fabs.f32 alpha) (cbrt.f32 (PI.f32))) (/.f32 #s(literal -1 binary32) (PI.f32)))
(fma.f32 (/.f32 (neg.f32 alpha) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (/.f32 (neg.f32 alpha) (cbrt.f32 (PI.f32))) (/.f32 #s(literal -1 binary32) (PI.f32)))
(fma.f32 (/.f32 alpha (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (/.f32 alpha (cbrt.f32 (PI.f32))) (/.f32 #s(literal -1 binary32) (PI.f32)))
(fma.f32 (fabs.f32 alpha) (/.f32 (fabs.f32 alpha) (PI.f32)) (/.f32 #s(literal -1 binary32) (PI.f32)))
(fma.f32 (neg.f32 alpha) (/.f32 (neg.f32 alpha) (PI.f32)) (/.f32 #s(literal -1 binary32) (PI.f32)))
(fma.f32 (*.f32 alpha alpha) (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 #s(literal -1 binary32) (PI.f32)))
(fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (*.f32 alpha alpha) (PI.f32)))
(fma.f32 alpha (/.f32 alpha (PI.f32)) (/.f32 #s(literal -1 binary32) (PI.f32)))
(+.f32 (/.f32 (*.f32 (/.f32 (*.f32 alpha alpha) (PI.f32)) (PI.f32)) (PI.f32)) (/.f32 #s(literal -1 binary32) (PI.f32)))
(+.f32 (/.f32 (*.f32 (*.f32 alpha alpha) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (/.f32 (neg.f32 (PI.f32)) (*.f32 (PI.f32) (PI.f32))))
(+.f32 (/.f32 (*.f32 (*.f32 alpha alpha) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (/.f32 (*.f32 (PI.f32) #s(literal -1 binary32)) (*.f32 (PI.f32) (PI.f32))))
(+.f32 (/.f32 (neg.f32 (*.f32 (-.f32 alpha #s(literal -1 binary32)) alpha)) (neg.f32 (PI.f32))) (/.f32 (-.f32 alpha #s(literal -1 binary32)) (neg.f32 (PI.f32))))
(+.f32 (/.f32 (-.f32 alpha #s(literal -1 binary32)) (neg.f32 (PI.f32))) (/.f32 (*.f32 (-.f32 alpha #s(literal -1 binary32)) (neg.f32 alpha)) (neg.f32 (PI.f32))))
(+.f32 (/.f32 (-.f32 alpha #s(literal -1 binary32)) (neg.f32 (PI.f32))) (/.f32 (*.f32 (neg.f32 alpha) (-.f32 alpha #s(literal -1 binary32))) (neg.f32 (PI.f32))))
(+.f32 (/.f32 (-.f32 alpha #s(literal -1 binary32)) (neg.f32 (PI.f32))) (/.f32 (neg.f32 (*.f32 (-.f32 alpha #s(literal -1 binary32)) alpha)) (neg.f32 (PI.f32))))
(+.f32 (/.f32 (-.f32 #s(literal -1 binary32) alpha) (neg.f32 (neg.f32 (PI.f32)))) (/.f32 (*.f32 (-.f32 alpha #s(literal -1 binary32)) alpha) (neg.f32 (neg.f32 (PI.f32)))))
(+.f32 (/.f32 (*.f32 (-.f32 alpha #s(literal -1 binary32)) alpha) (neg.f32 (neg.f32 (PI.f32)))) (/.f32 (-.f32 #s(literal -1 binary32) alpha) (neg.f32 (neg.f32 (PI.f32)))))
(+.f32 (/.f32 (-.f32 #s(literal -1 binary32) alpha) (PI.f32)) (/.f32 (*.f32 (-.f32 alpha #s(literal -1 binary32)) alpha) (PI.f32)))
(+.f32 (/.f32 (*.f32 (-.f32 alpha #s(literal -1 binary32)) alpha) (PI.f32)) (/.f32 (-.f32 #s(literal -1 binary32) alpha) (PI.f32)))
(+.f32 (/.f32 #s(literal -1 binary32) (PI.f32)) (/.f32 (*.f32 alpha alpha) (PI.f32)))
(+.f32 (/.f32 (*.f32 alpha alpha) (PI.f32)) (/.f32 #s(literal -1 binary32) (PI.f32)))
(neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 alpha alpha)) (/.f32 #s(literal 1 binary32) (PI.f32))))
(neg.f32 (*.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) #s(literal -1 binary32)))
(neg.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 alpha alpha)) (PI.f32)))
(*.f32 (pow.f32 (fma.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) #s(literal 2 binary32))) (pow.f32 (fma.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) #s(literal 2 binary32))))
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))))
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (fma.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))))
(/.f32 #s(literal -2 binary32) (*.f32 (-.f32 #s(literal -1 binary32) (*.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (neg.f32 cosTheta)) cosTheta)) #s(literal 2 binary32)))
(/.f32 #s(literal -2 binary32) (*.f32 #s(literal 2 binary32) (-.f32 #s(literal -1 binary32) (*.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (neg.f32 cosTheta)) cosTheta))))
(/.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (fma.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))))
(/.f32 #s(literal 2 binary32) (*.f32 (fma.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal -1 binary32) (*.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (neg.f32 cosTheta)) cosTheta)) #s(literal -1 binary32)))
(/.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)))
(/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) (*.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (neg.f32 cosTheta)) cosTheta)))
(fma.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))) #s(literal 1 binary32) (/.f32 #s(literal 0 binary32) (fma.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) (fma.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))))
(fma.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (fma.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) (fma.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))))
(pow.f32 (fma.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)) #s(literal -1 binary32))
(+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) (fma.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))))
(exp.f32 (*.f32 (log.f32 (fma.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))) #s(literal -1 binary32)))
(neg.f32 (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)))))
(neg.f32 (/.f32 #s(literal -1 binary32) (fma.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))))

eval235.0ms (3%)

Memory
21.4MiB live, 541.3MiB allocated; 68ms collecting garbage
Compiler

Compiled 45 706 to 8 108 computations (82.3% saved)

prune98.0ms (1.2%)

Memory
15.7MiB live, 247.7MiB allocated; 24ms collecting garbage
Pruning

55 alts after pruning (54 fresh and 1 done)

PrunedKeptTotal
New2 177272 204
Fresh162743
Picked505
Done213
Total2 200552 255
Accuracy
100.0%
Counts
2 255 → 55
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.3%
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32))))
97.4%
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))) (PI.f32)))
98.4%
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32))) (*.f32 (log.f32 alpha) #s(literal 2 binary32))))
95.9%
(/.f32 (fma.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))))
95.9%
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (*.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)) (PI.f32))))
98.3%
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32))) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
97.3%
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 (*.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (neg.f32 cosTheta)) cosTheta) (PI.f32) (*.f32 #s(literal 1 binary32) (PI.f32)))) (log.f32 (*.f32 alpha alpha)))
98.3%
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha)))) (PI.f32))
97.3%
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (fma.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)) (PI.f32))) (*.f32 (log.f32 alpha) #s(literal 2 binary32)))
96.0%
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)))) (PI.f32))
95.9%
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha)))) (PI.f32))
95.7%
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(approx (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI)) (PI.f32))) (log.f32 (*.f32 alpha alpha)))
95.7%
(/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 alpha alpha)) (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (PI.f32))) (*.f32 (log.f32 alpha) #s(literal -2 binary32)))
97.4%
(/.f32 (/.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1/2 binary32)) (*.f32 (PI.f32) (log.f32 alpha))) (fma.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)))
65.3%
(/.f32 (/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) (PI.f32)) (*.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
65.3%
(/.f32 (/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) (PI.f32)) (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha))))
95.7%
(/.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))))
96.1%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (*.f32 alpha alpha) #s(approx (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI)) (PI.f32)))))
95.8%
(/.f32 (+.f32 (*.f32 (-.f32 alpha #s(literal -1 binary32)) alpha) (*.f32 (-.f32 alpha #s(literal -1 binary32)) #s(literal -1 binary32))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
97.3%
(/.f32 (*.f32 (fma.f32 (/.f32 (*.f32 alpha alpha) (PI.f32)) (PI.f32) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 (PI.f32) (*.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)))))
97.5%
(/.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1/2 binary32)) (*.f32 (*.f32 (fma.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)) (PI.f32)) (log.f32 alpha)))
97.0%
(/.f32 (*.f32 (/.f32 (-.f32 alpha #s(literal 1 binary32)) (PI.f32)) (/.f32 (-.f32 alpha #s(literal -1 binary32)) (fma.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)))) (log.f32 (*.f32 alpha alpha)))
95.4%
(/.f32 (*.f32 (/.f32 (-.f32 alpha #s(literal -1 binary32)) (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (PI.f32))) (-.f32 alpha #s(literal 1 binary32))) (*.f32 (log.f32 alpha) #s(literal 2 binary32)))
95.7%
(/.f32 (*.f32 (/.f32 (-.f32 alpha #s(literal -1 binary32)) (log.f32 (*.f32 alpha alpha))) (-.f32 alpha #s(literal 1 binary32))) (*.f32 (PI.f32) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
66.1%
(/.f32 (*.f32 #s(approx (/ (+ (* alpha alpha) -1) (PI)) (/.f32 #s(literal -1 binary32) (PI.f32))) (/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)))) (log.f32 (*.f32 alpha alpha)))
66.1%
(/.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))))
65.2%
(/.f32 #s(approx (- (* 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))))
65.2%
(/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) #s(approx (* (* (PI) (* 2 (log alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 alpha)))))
95.8%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha))) (fma.f32 alpha alpha #s(literal -1 binary32))))
95.9%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (PI.f32)) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (log.f32 alpha) #s(literal 2 binary32)))))
97.3%
(-.f32 (/.f32 (/.f32 (*.f32 alpha alpha) (PI.f32)) (*.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)))) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)))))
95.8%
(*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))))
97.2%
(*.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (/.f32 #s(literal 1/2 binary32) (*.f32 (fma.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)) (log.f32 alpha))))
95.5%
(*.f32 (/.f32 (/.f32 (-.f32 alpha #s(literal -1 binary32)) (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (PI.f32))) (log.f32 alpha)) (*.f32 (-.f32 #s(literal 1 binary32) alpha) #s(literal -1/2 binary32)))
95.4%
(*.f32 (/.f32 (-.f32 alpha #s(literal 1 binary32)) (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha)))) (/.f32 (-.f32 alpha #s(literal -1 binary32)) (PI.f32)))
95.3%
(*.f32 (/.f32 (-.f32 alpha #s(literal 1 binary32)) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))) (/.f32 (fma.f32 (/.f32 alpha (PI.f32)) (log.f32 (*.f32 alpha alpha)) (*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (log.f32 (*.f32 alpha alpha)))) (*.f32 (log.f32 (*.f32 alpha alpha)) (log.f32 (*.f32 alpha alpha)))))
95.4%
(*.f32 (/.f32 (-.f32 alpha #s(literal 1 binary32)) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))) (/.f32 (/.f32 (-.f32 alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha))))
95.5%
(*.f32 (/.f32 (-.f32 alpha #s(literal 1 binary32)) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (-.f32 alpha #s(literal -1 binary32)))))
95.5%
(*.f32 (/.f32 (-.f32 alpha #s(literal 1 binary32)) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 (-.f32 alpha #s(literal -1 binary32)) (log.f32 (*.f32 alpha alpha))))))
95.4%
(*.f32 (/.f32 (-.f32 alpha #s(literal 1 binary32)) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))) (*.f32 (/.f32 (-.f32 alpha #s(literal -1 binary32)) (PI.f32)) (/.f32 #s(literal 1 binary32) (log.f32 (*.f32 alpha alpha)))))
95.5%
(*.f32 (/.f32 (-.f32 alpha #s(literal 1 binary32)) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) (-.f32 alpha #s(literal -1 binary32))))
95.4%
(*.f32 (/.f32 (-.f32 alpha #s(literal 1 binary32)) #s(approx (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI)) (PI.f32))) (/.f32 (-.f32 alpha #s(literal -1 binary32)) (log.f32 (*.f32 alpha alpha))))
97.2%
(*.f32 (/.f32 (-.f32 alpha #s(literal -1 binary32)) (fma.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))))
95.5%
(*.f32 (/.f32 (-.f32 alpha #s(literal -1 binary32)) (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) alpha) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha)))))
95.3%
(*.f32 (/.f32 (-.f32 alpha #s(literal -1 binary32)) (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (PI.f32))) (/.f32 #s(approx (- 1 alpha) (*.f32 alpha (-.f32 (/.f32 #s(literal 1 binary32) alpha) #s(literal 1 binary32)))) (*.f32 #s(literal -2 binary32) (log.f32 alpha))))
95.5%
(*.f32 (/.f32 (-.f32 alpha #s(literal -1 binary32)) (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (PI.f32))) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)) (-.f32 alpha #s(literal 1 binary32)))))
46.4%
(*.f32 (/.f32 (-.f32 alpha #s(literal -1 binary32)) (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (PI.f32))) #s(approx (/ (- 1 alpha) (* -2 (log alpha))) (/.f32 #s(literal -1/2 binary32) (log.f32 alpha))))
95.6%
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 alpha alpha)) (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (PI.f32))) (/.f32 #s(literal -1/2 binary32) (log.f32 alpha)))
97.4%
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))) (/.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1/2 binary32)) (*.f32 (PI.f32) (log.f32 alpha))))
95.5%
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (PI.f32)) (-.f32 alpha #s(literal -1 binary32)))) (/.f32 (-.f32 #s(literal 1 binary32) alpha) (*.f32 #s(literal -2 binary32) (log.f32 alpha))))
95.3%
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (-.f32 alpha #s(literal 1 binary32)))) (/.f32 (-.f32 alpha #s(literal -1 binary32)) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32))))
95.6%
(*.f32 (-.f32 alpha #s(literal -1 binary32)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) alpha) #s(literal -1/2 binary32)) (log.f32 alpha)) (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (PI.f32))))
95.5%
(*.f32 #s(approx (/ (- alpha 1) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (-.f32 alpha #s(literal 1 binary32))) (/.f32 (-.f32 alpha #s(literal -1 binary32)) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32))))
95.6%
(*.f32 #s(approx (/ (- alpha -1) (* (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (PI))) (/.f32 (+.f32 #s(literal 1 binary32) alpha) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) alpha) (*.f32 #s(literal -2 binary32) (log.f32 alpha))))
95.7%
#s(approx (* (/ (- alpha -1) (* (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (PI))) (/ (- 1 alpha) (* -2 (log alpha)))) (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 #s(literal 1 binary32) alpha)) (*.f32 (PI.f32) (log.f32 alpha)))))
Compiler

Compiled 2 648 to 1 524 computations (42.4% saved)

regimes143.0ms (1.8%)

Memory
-4.6MiB live, 334.4MiB allocated; 48ms collecting garbage
Counts
120 → 1
Calls
Call 1
Inputs
(/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) #s(approx (* (* (PI) (* 2 (log alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 alpha)))))
(/.f32 #s(approx (- (* 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 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(/.f32 (/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) (PI.f32)) (*.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(/.f32 (/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) (PI.f32)) (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha))))
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(approx (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI)) (PI.f32))) (log.f32 (*.f32 alpha alpha)))
(*.f32 (/.f32 (-.f32 alpha #s(literal -1 binary32)) (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (PI.f32))) #s(approx (/ (- 1 alpha) (* -2 (log alpha))) (/.f32 #s(literal -1/2 binary32) (log.f32 alpha))))
(/.f32 (*.f32 (/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) (log.f32 (*.f32 alpha alpha))) #s(literal 1 binary32)) (*.f32 (PI.f32) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(*.f32 #s(approx (/ (- alpha 1) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (-.f32 alpha #s(literal 1 binary32))) (/.f32 (-.f32 alpha #s(literal -1 binary32)) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (*.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)) (PI.f32))))
(/.f32 (fma.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))))
#s(approx (* (/ (- alpha -1) (* (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (PI))) (/ (- 1 alpha) (* -2 (log alpha)))) (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 #s(literal 1 binary32) alpha)) (*.f32 (PI.f32) (log.f32 alpha)))))
(/.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 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(*.f32 (/.f32 (-.f32 alpha #s(literal 1 binary32)) #s(approx (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI)) (PI.f32))) (/.f32 (-.f32 alpha #s(literal -1 binary32)) (log.f32 (*.f32 alpha alpha))))
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)))) (PI.f32))
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha)))) (PI.f32))
(*.f32 #s(approx (/ (- alpha -1) (* (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (PI))) (/.f32 (+.f32 #s(literal 1 binary32) alpha) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) alpha) (*.f32 #s(literal -2 binary32) (log.f32 alpha))))
(/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 alpha alpha)) (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (PI.f32))) (*.f32 (log.f32 alpha) #s(literal -2 binary32)))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 alpha alpha)) (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (PI.f32))) (/.f32 #s(literal -1/2 binary32) (log.f32 alpha)))
(*.f32 (-.f32 alpha #s(literal -1 binary32)) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (*.f32 (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (PI.f32)) (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 (fma.f32 alpha alpha #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))))
(/.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 (*.f32 (/.f32 (-.f32 alpha #s(literal -1 binary32)) (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (PI.f32))) (-.f32 alpha #s(literal 1 binary32))) (*.f32 (log.f32 alpha) #s(literal 2 binary32)))
(*.f32 (-.f32 alpha #s(literal -1 binary32)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) alpha) #s(literal -1/2 binary32)) (log.f32 alpha)) (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (PI.f32))))
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(/.f32 (fma.f32 (-.f32 alpha #s(literal -1 binary32)) alpha (*.f32 (-.f32 alpha #s(literal -1 binary32)) #s(literal -1 binary32))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (fma.f32 (-.f32 alpha #s(literal -1 binary32)) alpha (*.f32 (-.f32 alpha #s(literal -1 binary32)) #s(literal -1 binary32))) cosTheta) cosTheta))))
(-.f32 (/.f32 (/.f32 (*.f32 alpha alpha) (PI.f32)) (*.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)))) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)))))
(-.f32 (/.f32 (/.f32 (*.f32 alpha alpha) (*.f32 (fma.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)) (PI.f32))) (log.f32 (*.f32 alpha alpha))) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)) (PI.f32))) (log.f32 (*.f32 alpha alpha))))
(/.f32 (+.f32 (*.f32 (-.f32 alpha #s(literal -1 binary32)) alpha) (*.f32 (-.f32 alpha #s(literal -1 binary32)) #s(literal -1 binary32))) (log.f32 (pow.f32 (*.f32 alpha alpha) (*.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)) (PI.f32)))))
(*.f32 (/.f32 (-.f32 alpha #s(literal 1 binary32)) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))) (/.f32 (fma.f32 (/.f32 alpha (PI.f32)) (log.f32 (*.f32 alpha alpha)) (*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (log.f32 (*.f32 alpha alpha)))) (*.f32 (log.f32 (*.f32 alpha alpha)) (log.f32 (*.f32 alpha alpha)))))
(fma.f32 (/.f32 alpha (*.f32 (*.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))) alpha (/.f32 #s(literal -1 binary32) (*.f32 (*.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))))
(-.f32 (/.f32 (*.f32 alpha (/.f32 alpha (*.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)) (PI.f32)))) (log.f32 (*.f32 alpha alpha))) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)) (PI.f32))) (log.f32 (*.f32 alpha alpha))))
(*.f32 (-.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))) (/.f32 (*.f32 alpha alpha) (*.f32 (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))))) (/.f32 (*.f32 alpha alpha) (*.f32 (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (log.f32 (*.f32 alpha alpha)))) (cbrt.f32 (PI.f32))))
(/.f32 (-.f32 (*.f32 (/.f32 (*.f32 alpha alpha) (PI.f32)) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32))) (*.f32 (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha))) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))) (*.f32 (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha))) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (cbrt.f32 (PI.f32)) (*.f32 (cbrt.f32 (PI.f32)) (*.f32 (*.f32 (cbrt.f32 (PI.f32)) (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32))) (log.f32 (*.f32 alpha alpha))))))
(/.f32 (-.f32 (*.f32 (*.f32 alpha (/.f32 alpha (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)))) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32))) (*.f32 (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32))))) (*.f32 (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32)) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32))))
(/.f32 (-.f32 (*.f32 (*.f32 alpha (/.f32 alpha (PI.f32))) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32))) (*.f32 (*.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha))) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32))))) (*.f32 (*.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha))) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32))))
(/.f32 (-.f32 (*.f32 (*.f32 alpha (/.f32 alpha (PI.f32))) (*.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha)))) (*.f32 (*.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha))) (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 (*.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha))) (*.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha)))))
Outputs
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (*.f32 alpha alpha) (*.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)) (PI.f32)))))
Calls

4 calls:

41.0ms
alpha
36.0ms
(*.f32 alpha alpha)
31.0ms
cosTheta
30.0ms
(/.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))))
Results
AccuracySegmentsBranch
98.5%1(*.f32 alpha alpha)
98.5%1(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
98.5%1cosTheta
98.5%1alpha
Compiler

Compiled 22 to 20 computations (9.1% saved)

regimes104.0ms (1.3%)

Memory
15.8MiB live, 253.8MiB allocated; 10ms collecting garbage
Counts
105 → 1
Calls
Call 1
Inputs
(/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) #s(approx (* (* (PI) (* 2 (log alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 alpha)))))
(/.f32 #s(approx (- (* 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 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(/.f32 (/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) (PI.f32)) (*.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(/.f32 (/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) (PI.f32)) (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha))))
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(approx (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI)) (PI.f32))) (log.f32 (*.f32 alpha alpha)))
(*.f32 (/.f32 (-.f32 alpha #s(literal -1 binary32)) (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (PI.f32))) #s(approx (/ (- 1 alpha) (* -2 (log alpha))) (/.f32 #s(literal -1/2 binary32) (log.f32 alpha))))
(/.f32 (*.f32 (/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) (log.f32 (*.f32 alpha alpha))) #s(literal 1 binary32)) (*.f32 (PI.f32) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(*.f32 #s(approx (/ (- alpha 1) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (-.f32 alpha #s(literal 1 binary32))) (/.f32 (-.f32 alpha #s(literal -1 binary32)) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (*.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)) (PI.f32))))
(/.f32 (fma.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))))
#s(approx (* (/ (- alpha -1) (* (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (PI))) (/ (- 1 alpha) (* -2 (log alpha)))) (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 #s(literal 1 binary32) alpha)) (*.f32 (PI.f32) (log.f32 alpha)))))
(/.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 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(*.f32 (/.f32 (-.f32 alpha #s(literal 1 binary32)) #s(approx (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI)) (PI.f32))) (/.f32 (-.f32 alpha #s(literal -1 binary32)) (log.f32 (*.f32 alpha alpha))))
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)))) (PI.f32))
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha)))) (PI.f32))
(*.f32 #s(approx (/ (- alpha -1) (* (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (PI))) (/.f32 (+.f32 #s(literal 1 binary32) alpha) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) alpha) (*.f32 #s(literal -2 binary32) (log.f32 alpha))))
(/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 alpha alpha)) (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (PI.f32))) (*.f32 (log.f32 alpha) #s(literal -2 binary32)))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 alpha alpha)) (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (PI.f32))) (/.f32 #s(literal -1/2 binary32) (log.f32 alpha)))
(*.f32 (-.f32 alpha #s(literal -1 binary32)) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (*.f32 (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (PI.f32)) (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 (fma.f32 alpha alpha #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))))
(/.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 (*.f32 (/.f32 (-.f32 alpha #s(literal -1 binary32)) (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (PI.f32))) (-.f32 alpha #s(literal 1 binary32))) (*.f32 (log.f32 alpha) #s(literal 2 binary32)))
(*.f32 (-.f32 alpha #s(literal -1 binary32)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) alpha) #s(literal -1/2 binary32)) (log.f32 alpha)) (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (PI.f32))))
(*.f32 (/.f32 (-.f32 alpha #s(literal -1 binary32)) (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) alpha) (*.f32 #s(literal -2 binary32) (log.f32 alpha))))
(*.f32 (/.f32 (-.f32 alpha #s(literal 1 binary32)) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))) (/.f32 (-.f32 alpha #s(literal -1 binary32)) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32))))
(*.f32 (/.f32 (-.f32 alpha #s(literal 1 binary32)) (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha)))) (/.f32 (-.f32 alpha #s(literal -1 binary32)) (PI.f32)))
(*.f32 (/.f32 (/.f32 (-.f32 alpha #s(literal -1 binary32)) (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (PI.f32))) (log.f32 alpha)) (*.f32 (-.f32 #s(literal 1 binary32) alpha) #s(literal -1/2 binary32)))
(/.f32 (*.f32 (/.f32 (-.f32 alpha #s(literal -1 binary32)) (PI.f32)) (-.f32 alpha #s(literal 1 binary32))) (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha))))
(/.f32 (*.f32 (/.f32 (-.f32 alpha #s(literal -1 binary32)) (log.f32 (*.f32 alpha alpha))) (-.f32 alpha #s(literal 1 binary32))) (*.f32 (PI.f32) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(*.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (PI.f32))) (/.f32 #s(literal -1 binary32) (*.f32 #s(literal -2 binary32) (log.f32 alpha))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha))) (fma.f32 alpha alpha #s(literal -1 binary32))))
(/.f32 (*.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (*.f32 alpha alpha))) #s(literal 1 binary32)) (*.f32 (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) #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)) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))) (/.f32 (/.f32 (-.f32 alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (PI.f32)) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (log.f32 alpha) #s(literal 2 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha))) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32))))
(/.f32 (*.f32 #s(approx (/ (+ (* alpha alpha) -1) (PI)) (/.f32 #s(literal -1 binary32) (PI.f32))) (/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)))) (log.f32 (*.f32 alpha alpha)))
(/.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1/2 binary32)) (*.f32 (*.f32 (fma.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)) (PI.f32)) (log.f32 alpha)))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 (fma.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha)))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))) (PI.f32)))
(/.f32 (/.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1/2 binary32)) (*.f32 (PI.f32) (log.f32 alpha))) (fma.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)))
(*.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (/.f32 #s(literal 1/2 binary32) (*.f32 (fma.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)) (log.f32 alpha))))
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (fma.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)) (PI.f32))) (log.f32 (*.f32 alpha alpha)))
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (fma.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)) (PI.f32))) (*.f32 (log.f32 alpha) #s(literal 2 binary32)))
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(*.f32 (/.f32 (-.f32 alpha #s(literal 1 binary32)) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #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 #s(literal 1 binary32) (*.f32 alpha alpha)) (*.f32 (*.f32 (neg.f32 (PI.f32)) (fma.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))) (log.f32 (*.f32 alpha alpha))))
(*.f32 (/.f32 (-.f32 alpha #s(literal -1 binary32)) (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (PI.f32))) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)) (-.f32 alpha #s(literal 1 binary32)))))
(*.f32 (/.f32 (-.f32 alpha #s(literal 1 binary32)) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #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 (-.f32 alpha #s(literal 1 binary32)) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (-.f32 alpha #s(literal -1 binary32)))))
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (-.f32 alpha #s(literal 1 binary32)))) (/.f32 (-.f32 alpha #s(literal -1 binary32)) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32))))
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (PI.f32)) (-.f32 alpha #s(literal -1 binary32)))) (/.f32 (-.f32 #s(literal 1 binary32) alpha) (*.f32 #s(literal -2 binary32) (log.f32 alpha))))
(*.f32 (/.f32 (-.f32 alpha #s(literal -1 binary32)) (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) alpha) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha)))))
(/.f32 (fma.f32 (-.f32 alpha #s(literal -1 binary32)) alpha (*.f32 (-.f32 alpha #s(literal -1 binary32)) #s(literal -1 binary32))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(/.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha (*.f32 (-.f32 alpha #s(literal 1 binary32)) #s(literal 1 binary32))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(*.f32 (/.f32 (-.f32 alpha #s(literal 1 binary32)) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 (-.f32 alpha #s(literal -1 binary32)) (log.f32 (*.f32 alpha alpha))))))
(/.f32 (+.f32 (*.f32 (-.f32 alpha #s(literal -1 binary32)) alpha) (*.f32 (-.f32 alpha #s(literal -1 binary32)) #s(literal -1 binary32))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (fma.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (*.f32 #s(literal -1 binary32) cosTheta)) cosTheta #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 (PI.f32) (*.f32 (fma.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha))))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (*.f32 #s(literal -1 binary32) cosTheta)) cosTheta))))
(*.f32 (/.f32 (-.f32 alpha #s(literal -1 binary32)) (fma.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))))
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))) (/.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1/2 binary32)) (*.f32 (PI.f32) (log.f32 alpha))))
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 (*.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (neg.f32 cosTheta)) cosTheta) (PI.f32) (*.f32 #s(literal 1 binary32) (PI.f32)))) (log.f32 (*.f32 alpha alpha)))
(*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)) (PI.f32))) (log.f32 (*.f32 alpha alpha))))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha))) (*.f32 alpha 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 (-.f32 alpha #s(literal 1 binary32)) (PI.f32)) (/.f32 (-.f32 alpha #s(literal -1 binary32)) (fma.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)))) (log.f32 (*.f32 alpha alpha)))
(/.f32 (*.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)))) (log.f32 (*.f32 alpha alpha)))
(*.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) alpha)) alpha) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))) (/.f32 (-.f32 alpha #s(literal -1 binary32)) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32))))
(*.f32 (/.f32 (-.f32 alpha #s(literal -1 binary32)) (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (PI.f32))) (/.f32 #s(approx (- 1 alpha) (*.f32 alpha (-.f32 (/.f32 #s(literal 1 binary32) alpha) #s(literal 1 binary32)))) (*.f32 #s(literal -2 binary32) (log.f32 alpha))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (*.f32 alpha alpha) #s(approx (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI)) (PI.f32)))))
(*.f32 (/.f32 (-.f32 alpha #s(literal 1 binary32)) (*.f32 (fma.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (*.f32 #s(literal -1 binary32) cosTheta)) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (-.f32 alpha #s(literal -1 binary32)) (log.f32 (*.f32 alpha alpha))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32))) (*.f32 (log.f32 alpha) #s(literal 2 binary32))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha))) (PI.f32)))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32))))
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32))) (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)))
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)) (PI.f32))) (log.f32 (*.f32 alpha alpha)))
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)) (PI.f32))) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha)))) (PI.f32))
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32))) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 alpha alpha)) (*.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)) (PI.f32))) (*.f32 #s(literal -2 binary32) (log.f32 alpha)))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 alpha alpha)) (PI.f32)) (*.f32 (-.f32 #s(literal -1 binary32) (*.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta)) (log.f32 (*.f32 alpha alpha))))
(/.f32 (*.f32 (fma.f32 (/.f32 (*.f32 alpha alpha) (PI.f32)) (PI.f32) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 (PI.f32) (*.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)))))
(*.f32 (-.f32 alpha #s(literal 1 binary32)) (/.f32 (-.f32 alpha #s(literal -1 binary32)) (*.f32 (*.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))))
(*.f32 (/.f32 (-.f32 alpha #s(literal 1 binary32)) (*.f32 (*.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))) (-.f32 alpha #s(literal -1 binary32)))
(*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))))
(*.f32 (/.f32 (-.f32 alpha #s(literal 1 binary32)) (*.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #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 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #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 (-.f32 alpha #s(literal 1 binary32)) (*.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha))))) (PI.f32))
(/.f32 (*.f32 (/.f32 (-.f32 alpha #s(literal -1 binary32)) (PI.f32)) (-.f32 alpha #s(literal 1 binary32))) (*.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #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)) (*.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 #s(literal 1 binary32) (log.f32 (*.f32 alpha alpha))))
(*.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32))) (/.f32 (/.f32 #s(literal -1 binary32) (*.f32 #s(literal -2 binary32) (log.f32 alpha))) (PI.f32)))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)) (PI.f32)) (fma.f32 alpha alpha #s(literal -1 binary32)))) (log.f32 (*.f32 alpha alpha)))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32)))))
(/.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))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (/.f32 (-.f32 (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)) (*.f32 #s(literal -1 binary32) #s(literal -1 binary32))) (-.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 alpha #s(literal 1 binary32)) (*.f32 (-.f32 alpha #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha))))))
(*.f32 (/.f32 (-.f32 alpha #s(literal 1 binary32)) (*.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)) (PI.f32))) (*.f32 (/.f32 #s(literal -1 binary32) (*.f32 #s(literal -2 binary32) (log.f32 alpha))) (-.f32 alpha #s(literal -1 binary32))))
Outputs
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32))))
Calls

4 calls:

26.0ms
alpha
25.0ms
cosTheta
25.0ms
(*.f32 alpha alpha)
24.0ms
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
Results
AccuracySegmentsBranch
98.4%1(*.f32 alpha alpha)
98.4%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))))
98.4%1cosTheta
98.4%1alpha
Compiler

Compiled 22 to 20 computations (9.1% saved)

regimes146.0ms (1.8%)

Memory
17.8MiB live, 166.4MiB allocated; 48ms collecting garbage
Counts
78 → 1
Calls
Call 1
Inputs
(/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) #s(approx (* (* (PI) (* 2 (log alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 alpha)))))
(/.f32 #s(approx (- (* 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 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(/.f32 (/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) (PI.f32)) (*.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(/.f32 (/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) (PI.f32)) (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha))))
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(approx (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI)) (PI.f32))) (log.f32 (*.f32 alpha alpha)))
(*.f32 (/.f32 (-.f32 alpha #s(literal -1 binary32)) (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (PI.f32))) #s(approx (/ (- 1 alpha) (* -2 (log alpha))) (/.f32 #s(literal -1/2 binary32) (log.f32 alpha))))
(/.f32 (*.f32 (/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) (log.f32 (*.f32 alpha alpha))) #s(literal 1 binary32)) (*.f32 (PI.f32) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(*.f32 #s(approx (/ (- alpha 1) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (-.f32 alpha #s(literal 1 binary32))) (/.f32 (-.f32 alpha #s(literal -1 binary32)) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (*.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)) (PI.f32))))
(/.f32 (fma.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))))
#s(approx (* (/ (- alpha -1) (* (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (PI))) (/ (- 1 alpha) (* -2 (log alpha)))) (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 #s(literal 1 binary32) alpha)) (*.f32 (PI.f32) (log.f32 alpha)))))
(/.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 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(*.f32 (/.f32 (-.f32 alpha #s(literal 1 binary32)) #s(approx (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI)) (PI.f32))) (/.f32 (-.f32 alpha #s(literal -1 binary32)) (log.f32 (*.f32 alpha alpha))))
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)))) (PI.f32))
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha)))) (PI.f32))
(*.f32 #s(approx (/ (- alpha -1) (* (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (PI))) (/.f32 (+.f32 #s(literal 1 binary32) alpha) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) alpha) (*.f32 #s(literal -2 binary32) (log.f32 alpha))))
(/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 alpha alpha)) (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (PI.f32))) (*.f32 (log.f32 alpha) #s(literal -2 binary32)))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 alpha alpha)) (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (PI.f32))) (/.f32 #s(literal -1/2 binary32) (log.f32 alpha)))
(*.f32 (-.f32 alpha #s(literal -1 binary32)) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (*.f32 (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (PI.f32)) (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 (fma.f32 alpha alpha #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))))
(/.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 (*.f32 (/.f32 (-.f32 alpha #s(literal -1 binary32)) (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (PI.f32))) (-.f32 alpha #s(literal 1 binary32))) (*.f32 (log.f32 alpha) #s(literal 2 binary32)))
(*.f32 (-.f32 alpha #s(literal -1 binary32)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) alpha) #s(literal -1/2 binary32)) (log.f32 alpha)) (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (PI.f32))))
(*.f32 (/.f32 (-.f32 alpha #s(literal -1 binary32)) (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) alpha) (*.f32 #s(literal -2 binary32) (log.f32 alpha))))
(*.f32 (/.f32 (-.f32 alpha #s(literal 1 binary32)) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))) (/.f32 (-.f32 alpha #s(literal -1 binary32)) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32))))
(*.f32 (/.f32 (-.f32 alpha #s(literal 1 binary32)) (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha)))) (/.f32 (-.f32 alpha #s(literal -1 binary32)) (PI.f32)))
(*.f32 (/.f32 (/.f32 (-.f32 alpha #s(literal -1 binary32)) (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (PI.f32))) (log.f32 alpha)) (*.f32 (-.f32 #s(literal 1 binary32) alpha) #s(literal -1/2 binary32)))
(/.f32 (*.f32 (/.f32 (-.f32 alpha #s(literal -1 binary32)) (PI.f32)) (-.f32 alpha #s(literal 1 binary32))) (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha))))
(/.f32 (*.f32 (/.f32 (-.f32 alpha #s(literal -1 binary32)) (log.f32 (*.f32 alpha alpha))) (-.f32 alpha #s(literal 1 binary32))) (*.f32 (PI.f32) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(*.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (PI.f32))) (/.f32 #s(literal -1 binary32) (*.f32 #s(literal -2 binary32) (log.f32 alpha))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha))) (fma.f32 alpha alpha #s(literal -1 binary32))))
(/.f32 (*.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (*.f32 alpha alpha))) #s(literal 1 binary32)) (*.f32 (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) #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)) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))) (/.f32 (/.f32 (-.f32 alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (PI.f32)) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (log.f32 alpha) #s(literal 2 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha))) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32))))
(/.f32 (*.f32 #s(approx (/ (+ (* alpha alpha) -1) (PI)) (/.f32 #s(literal -1 binary32) (PI.f32))) (/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)))) (log.f32 (*.f32 alpha alpha)))
(/.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1/2 binary32)) (*.f32 (*.f32 (fma.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)) (PI.f32)) (log.f32 alpha)))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 (fma.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha)))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))) (PI.f32)))
(/.f32 (/.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1/2 binary32)) (*.f32 (PI.f32) (log.f32 alpha))) (fma.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)))
(*.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (/.f32 #s(literal 1/2 binary32) (*.f32 (fma.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)) (log.f32 alpha))))
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (fma.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)) (PI.f32))) (log.f32 (*.f32 alpha alpha)))
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (fma.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)) (PI.f32))) (*.f32 (log.f32 alpha) #s(literal 2 binary32)))
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(*.f32 (/.f32 (-.f32 alpha #s(literal 1 binary32)) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #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 #s(literal 1 binary32) (*.f32 alpha alpha)) (*.f32 (*.f32 (neg.f32 (PI.f32)) (fma.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))) (log.f32 (*.f32 alpha alpha))))
(*.f32 (/.f32 (-.f32 alpha #s(literal -1 binary32)) (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (PI.f32))) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)) (-.f32 alpha #s(literal 1 binary32)))))
(*.f32 (/.f32 (-.f32 alpha #s(literal 1 binary32)) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #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 (-.f32 alpha #s(literal 1 binary32)) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (-.f32 alpha #s(literal -1 binary32)))))
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (-.f32 alpha #s(literal 1 binary32)))) (/.f32 (-.f32 alpha #s(literal -1 binary32)) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32))))
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (PI.f32)) (-.f32 alpha #s(literal -1 binary32)))) (/.f32 (-.f32 #s(literal 1 binary32) alpha) (*.f32 #s(literal -2 binary32) (log.f32 alpha))))
(*.f32 (/.f32 (-.f32 alpha #s(literal -1 binary32)) (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) alpha) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha)))))
(/.f32 (fma.f32 (-.f32 alpha #s(literal -1 binary32)) alpha (*.f32 (-.f32 alpha #s(literal -1 binary32)) #s(literal -1 binary32))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(/.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha (*.f32 (-.f32 alpha #s(literal 1 binary32)) #s(literal 1 binary32))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(*.f32 (/.f32 (-.f32 alpha #s(literal 1 binary32)) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 (-.f32 alpha #s(literal -1 binary32)) (log.f32 (*.f32 alpha alpha))))))
(/.f32 (+.f32 (*.f32 (-.f32 alpha #s(literal -1 binary32)) alpha) (*.f32 (-.f32 alpha #s(literal -1 binary32)) #s(literal -1 binary32))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (fma.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (*.f32 #s(literal -1 binary32) cosTheta)) cosTheta #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 (PI.f32) (*.f32 (fma.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha))))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (*.f32 #s(literal -1 binary32) cosTheta)) cosTheta))))
(*.f32 (/.f32 (-.f32 alpha #s(literal -1 binary32)) (fma.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))))
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))) (/.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1/2 binary32)) (*.f32 (PI.f32) (log.f32 alpha))))
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 (*.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (neg.f32 cosTheta)) cosTheta) (PI.f32) (*.f32 #s(literal 1 binary32) (PI.f32)))) (log.f32 (*.f32 alpha alpha)))
(*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)) (PI.f32))) (log.f32 (*.f32 alpha alpha))))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha))) (*.f32 alpha 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 (-.f32 alpha #s(literal 1 binary32)) (PI.f32)) (/.f32 (-.f32 alpha #s(literal -1 binary32)) (fma.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)))) (log.f32 (*.f32 alpha alpha)))
(/.f32 (*.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)))) (log.f32 (*.f32 alpha alpha)))
(*.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) alpha)) alpha) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))) (/.f32 (-.f32 alpha #s(literal -1 binary32)) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32))))
(*.f32 (/.f32 (-.f32 alpha #s(literal -1 binary32)) (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (PI.f32))) (/.f32 #s(approx (- 1 alpha) (*.f32 alpha (-.f32 (/.f32 #s(literal 1 binary32) alpha) #s(literal 1 binary32)))) (*.f32 #s(literal -2 binary32) (log.f32 alpha))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (*.f32 alpha alpha) #s(approx (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI)) (PI.f32)))))
(*.f32 (/.f32 (-.f32 alpha #s(literal 1 binary32)) (*.f32 (fma.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (*.f32 #s(literal -1 binary32) cosTheta)) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (-.f32 alpha #s(literal -1 binary32)) (log.f32 (*.f32 alpha alpha))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32))) (*.f32 (log.f32 alpha) #s(literal 2 binary32))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha))) (PI.f32)))
Outputs
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha))) (PI.f32)))
Calls

4 calls:

68.0ms
(*.f32 alpha alpha)
34.0ms
(/.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))))
22.0ms
cosTheta
19.0ms
alpha
Results
AccuracySegmentsBranch
98.4%1(*.f32 alpha alpha)
98.4%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))))
98.4%1cosTheta
98.4%1alpha
Compiler

Compiled 22 to 20 computations (9.1% saved)

regimes137.0ms (1.7%)

Memory
-4.8MiB live, 140.8MiB allocated; 53ms collecting garbage
Counts
77 → 1
Calls
Call 1
Inputs
(/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) #s(approx (* (* (PI) (* 2 (log alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 alpha)))))
(/.f32 #s(approx (- (* 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 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(/.f32 (/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) (PI.f32)) (*.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(/.f32 (/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) (PI.f32)) (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha))))
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(approx (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI)) (PI.f32))) (log.f32 (*.f32 alpha alpha)))
(*.f32 (/.f32 (-.f32 alpha #s(literal -1 binary32)) (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (PI.f32))) #s(approx (/ (- 1 alpha) (* -2 (log alpha))) (/.f32 #s(literal -1/2 binary32) (log.f32 alpha))))
(/.f32 (*.f32 (/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) (log.f32 (*.f32 alpha alpha))) #s(literal 1 binary32)) (*.f32 (PI.f32) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(*.f32 #s(approx (/ (- alpha 1) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (-.f32 alpha #s(literal 1 binary32))) (/.f32 (-.f32 alpha #s(literal -1 binary32)) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (*.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)) (PI.f32))))
(/.f32 (fma.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))))
#s(approx (* (/ (- alpha -1) (* (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (PI))) (/ (- 1 alpha) (* -2 (log alpha)))) (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 #s(literal 1 binary32) alpha)) (*.f32 (PI.f32) (log.f32 alpha)))))
(/.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 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(*.f32 (/.f32 (-.f32 alpha #s(literal 1 binary32)) #s(approx (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI)) (PI.f32))) (/.f32 (-.f32 alpha #s(literal -1 binary32)) (log.f32 (*.f32 alpha alpha))))
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)))) (PI.f32))
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha)))) (PI.f32))
(*.f32 #s(approx (/ (- alpha -1) (* (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (PI))) (/.f32 (+.f32 #s(literal 1 binary32) alpha) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) alpha) (*.f32 #s(literal -2 binary32) (log.f32 alpha))))
(/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 alpha alpha)) (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (PI.f32))) (*.f32 (log.f32 alpha) #s(literal -2 binary32)))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 alpha alpha)) (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (PI.f32))) (/.f32 #s(literal -1/2 binary32) (log.f32 alpha)))
(*.f32 (-.f32 alpha #s(literal -1 binary32)) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (*.f32 (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (PI.f32)) (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 (fma.f32 alpha alpha #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))))
(/.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 (*.f32 (/.f32 (-.f32 alpha #s(literal -1 binary32)) (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (PI.f32))) (-.f32 alpha #s(literal 1 binary32))) (*.f32 (log.f32 alpha) #s(literal 2 binary32)))
(*.f32 (-.f32 alpha #s(literal -1 binary32)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) alpha) #s(literal -1/2 binary32)) (log.f32 alpha)) (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (PI.f32))))
(*.f32 (/.f32 (-.f32 alpha #s(literal -1 binary32)) (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) alpha) (*.f32 #s(literal -2 binary32) (log.f32 alpha))))
(*.f32 (/.f32 (-.f32 alpha #s(literal 1 binary32)) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))) (/.f32 (-.f32 alpha #s(literal -1 binary32)) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32))))
(*.f32 (/.f32 (-.f32 alpha #s(literal 1 binary32)) (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha)))) (/.f32 (-.f32 alpha #s(literal -1 binary32)) (PI.f32)))
(*.f32 (/.f32 (/.f32 (-.f32 alpha #s(literal -1 binary32)) (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (PI.f32))) (log.f32 alpha)) (*.f32 (-.f32 #s(literal 1 binary32) alpha) #s(literal -1/2 binary32)))
(/.f32 (*.f32 (/.f32 (-.f32 alpha #s(literal -1 binary32)) (PI.f32)) (-.f32 alpha #s(literal 1 binary32))) (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha))))
(/.f32 (*.f32 (/.f32 (-.f32 alpha #s(literal -1 binary32)) (log.f32 (*.f32 alpha alpha))) (-.f32 alpha #s(literal 1 binary32))) (*.f32 (PI.f32) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(*.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (PI.f32))) (/.f32 #s(literal -1 binary32) (*.f32 #s(literal -2 binary32) (log.f32 alpha))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha))) (fma.f32 alpha alpha #s(literal -1 binary32))))
(/.f32 (*.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (*.f32 alpha alpha))) #s(literal 1 binary32)) (*.f32 (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) #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)) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))) (/.f32 (/.f32 (-.f32 alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (PI.f32)) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (log.f32 alpha) #s(literal 2 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha))) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32))))
(/.f32 (*.f32 #s(approx (/ (+ (* alpha alpha) -1) (PI)) (/.f32 #s(literal -1 binary32) (PI.f32))) (/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)))) (log.f32 (*.f32 alpha alpha)))
(/.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1/2 binary32)) (*.f32 (*.f32 (fma.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)) (PI.f32)) (log.f32 alpha)))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 (fma.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha)))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))) (PI.f32)))
(/.f32 (/.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1/2 binary32)) (*.f32 (PI.f32) (log.f32 alpha))) (fma.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)))
(*.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (/.f32 #s(literal 1/2 binary32) (*.f32 (fma.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)) (log.f32 alpha))))
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (fma.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)) (PI.f32))) (log.f32 (*.f32 alpha alpha)))
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (fma.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)) (PI.f32))) (*.f32 (log.f32 alpha) #s(literal 2 binary32)))
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(*.f32 (/.f32 (-.f32 alpha #s(literal 1 binary32)) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #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 #s(literal 1 binary32) (*.f32 alpha alpha)) (*.f32 (*.f32 (neg.f32 (PI.f32)) (fma.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))) (log.f32 (*.f32 alpha alpha))))
(*.f32 (/.f32 (-.f32 alpha #s(literal -1 binary32)) (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (PI.f32))) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)) (-.f32 alpha #s(literal 1 binary32)))))
(*.f32 (/.f32 (-.f32 alpha #s(literal 1 binary32)) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #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 (-.f32 alpha #s(literal 1 binary32)) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (-.f32 alpha #s(literal -1 binary32)))))
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (-.f32 alpha #s(literal 1 binary32)))) (/.f32 (-.f32 alpha #s(literal -1 binary32)) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32))))
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (PI.f32)) (-.f32 alpha #s(literal -1 binary32)))) (/.f32 (-.f32 #s(literal 1 binary32) alpha) (*.f32 #s(literal -2 binary32) (log.f32 alpha))))
(*.f32 (/.f32 (-.f32 alpha #s(literal -1 binary32)) (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) alpha) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha)))))
(/.f32 (fma.f32 (-.f32 alpha #s(literal -1 binary32)) alpha (*.f32 (-.f32 alpha #s(literal -1 binary32)) #s(literal -1 binary32))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(/.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha (*.f32 (-.f32 alpha #s(literal 1 binary32)) #s(literal 1 binary32))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(*.f32 (/.f32 (-.f32 alpha #s(literal 1 binary32)) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 (-.f32 alpha #s(literal -1 binary32)) (log.f32 (*.f32 alpha alpha))))))
(/.f32 (+.f32 (*.f32 (-.f32 alpha #s(literal -1 binary32)) alpha) (*.f32 (-.f32 alpha #s(literal -1 binary32)) #s(literal -1 binary32))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (fma.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (*.f32 #s(literal -1 binary32) cosTheta)) cosTheta #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 (PI.f32) (*.f32 (fma.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha))))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (*.f32 #s(literal -1 binary32) cosTheta)) cosTheta))))
(*.f32 (/.f32 (-.f32 alpha #s(literal -1 binary32)) (fma.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))))
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))) (/.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1/2 binary32)) (*.f32 (PI.f32) (log.f32 alpha))))
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 (*.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (neg.f32 cosTheta)) cosTheta) (PI.f32) (*.f32 #s(literal 1 binary32) (PI.f32)))) (log.f32 (*.f32 alpha alpha)))
(*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)) (PI.f32))) (log.f32 (*.f32 alpha alpha))))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha))) (*.f32 alpha 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 (-.f32 alpha #s(literal 1 binary32)) (PI.f32)) (/.f32 (-.f32 alpha #s(literal -1 binary32)) (fma.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)))) (log.f32 (*.f32 alpha alpha)))
(/.f32 (*.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)))) (log.f32 (*.f32 alpha alpha)))
(*.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) alpha)) alpha) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))) (/.f32 (-.f32 alpha #s(literal -1 binary32)) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32))))
(*.f32 (/.f32 (-.f32 alpha #s(literal -1 binary32)) (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (PI.f32))) (/.f32 #s(approx (- 1 alpha) (*.f32 alpha (-.f32 (/.f32 #s(literal 1 binary32) alpha) #s(literal 1 binary32)))) (*.f32 #s(literal -2 binary32) (log.f32 alpha))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (*.f32 alpha alpha) #s(approx (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI)) (PI.f32)))))
(*.f32 (/.f32 (-.f32 alpha #s(literal 1 binary32)) (*.f32 (fma.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (*.f32 #s(literal -1 binary32) cosTheta)) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (-.f32 alpha #s(literal -1 binary32)) (log.f32 (*.f32 alpha alpha))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32))) (*.f32 (log.f32 alpha) #s(literal 2 binary32))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32))))
Outputs
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32))) (*.f32 (log.f32 alpha) #s(literal 2 binary32))))
Calls

4 calls:

54.0ms
(/.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))))
43.0ms
cosTheta
19.0ms
(*.f32 alpha alpha)
17.0ms
alpha
Results
AccuracySegmentsBranch
98.4%1(*.f32 alpha alpha)
98.4%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))))
98.4%1cosTheta
98.4%1alpha
Compiler

Compiled 22 to 20 computations (9.1% saved)

regimes79.0ms (1%)

Memory
18.2MiB live, 157.4MiB allocated; 13ms collecting garbage
Counts
74 → 1
Calls
Call 1
Inputs
(/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) #s(approx (* (* (PI) (* 2 (log alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 alpha)))))
(/.f32 #s(approx (- (* 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 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(/.f32 (/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) (PI.f32)) (*.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(/.f32 (/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) (PI.f32)) (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha))))
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(approx (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI)) (PI.f32))) (log.f32 (*.f32 alpha alpha)))
(*.f32 (/.f32 (-.f32 alpha #s(literal -1 binary32)) (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (PI.f32))) #s(approx (/ (- 1 alpha) (* -2 (log alpha))) (/.f32 #s(literal -1/2 binary32) (log.f32 alpha))))
(/.f32 (*.f32 (/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) (log.f32 (*.f32 alpha alpha))) #s(literal 1 binary32)) (*.f32 (PI.f32) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(*.f32 #s(approx (/ (- alpha 1) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (-.f32 alpha #s(literal 1 binary32))) (/.f32 (-.f32 alpha #s(literal -1 binary32)) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (*.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)) (PI.f32))))
(/.f32 (fma.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))))
#s(approx (* (/ (- alpha -1) (* (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (PI))) (/ (- 1 alpha) (* -2 (log alpha)))) (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 #s(literal 1 binary32) alpha)) (*.f32 (PI.f32) (log.f32 alpha)))))
(/.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 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(*.f32 (/.f32 (-.f32 alpha #s(literal 1 binary32)) #s(approx (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI)) (PI.f32))) (/.f32 (-.f32 alpha #s(literal -1 binary32)) (log.f32 (*.f32 alpha alpha))))
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)))) (PI.f32))
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha)))) (PI.f32))
(*.f32 #s(approx (/ (- alpha -1) (* (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (PI))) (/.f32 (+.f32 #s(literal 1 binary32) alpha) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) alpha) (*.f32 #s(literal -2 binary32) (log.f32 alpha))))
(/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 alpha alpha)) (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (PI.f32))) (*.f32 (log.f32 alpha) #s(literal -2 binary32)))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 alpha alpha)) (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (PI.f32))) (/.f32 #s(literal -1/2 binary32) (log.f32 alpha)))
(*.f32 (-.f32 alpha #s(literal -1 binary32)) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (*.f32 (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (PI.f32)) (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 (fma.f32 alpha alpha #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))))
(/.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 (*.f32 (/.f32 (-.f32 alpha #s(literal -1 binary32)) (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (PI.f32))) (-.f32 alpha #s(literal 1 binary32))) (*.f32 (log.f32 alpha) #s(literal 2 binary32)))
(*.f32 (-.f32 alpha #s(literal -1 binary32)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) alpha) #s(literal -1/2 binary32)) (log.f32 alpha)) (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (PI.f32))))
(*.f32 (/.f32 (-.f32 alpha #s(literal -1 binary32)) (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) alpha) (*.f32 #s(literal -2 binary32) (log.f32 alpha))))
(*.f32 (/.f32 (-.f32 alpha #s(literal 1 binary32)) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))) (/.f32 (-.f32 alpha #s(literal -1 binary32)) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32))))
(*.f32 (/.f32 (-.f32 alpha #s(literal 1 binary32)) (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha)))) (/.f32 (-.f32 alpha #s(literal -1 binary32)) (PI.f32)))
(*.f32 (/.f32 (/.f32 (-.f32 alpha #s(literal -1 binary32)) (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (PI.f32))) (log.f32 alpha)) (*.f32 (-.f32 #s(literal 1 binary32) alpha) #s(literal -1/2 binary32)))
(/.f32 (*.f32 (/.f32 (-.f32 alpha #s(literal -1 binary32)) (PI.f32)) (-.f32 alpha #s(literal 1 binary32))) (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha))))
(/.f32 (*.f32 (/.f32 (-.f32 alpha #s(literal -1 binary32)) (log.f32 (*.f32 alpha alpha))) (-.f32 alpha #s(literal 1 binary32))) (*.f32 (PI.f32) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(*.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (PI.f32))) (/.f32 #s(literal -1 binary32) (*.f32 #s(literal -2 binary32) (log.f32 alpha))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha))) (fma.f32 alpha alpha #s(literal -1 binary32))))
(/.f32 (*.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (*.f32 alpha alpha))) #s(literal 1 binary32)) (*.f32 (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) #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)) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))) (/.f32 (/.f32 (-.f32 alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (PI.f32)) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (log.f32 alpha) #s(literal 2 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha))) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32))))
(/.f32 (*.f32 #s(approx (/ (+ (* alpha alpha) -1) (PI)) (/.f32 #s(literal -1 binary32) (PI.f32))) (/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)))) (log.f32 (*.f32 alpha alpha)))
(/.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1/2 binary32)) (*.f32 (*.f32 (fma.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)) (PI.f32)) (log.f32 alpha)))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 (fma.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha)))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))) (PI.f32)))
(/.f32 (/.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1/2 binary32)) (*.f32 (PI.f32) (log.f32 alpha))) (fma.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)))
(*.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (/.f32 #s(literal 1/2 binary32) (*.f32 (fma.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)) (log.f32 alpha))))
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (fma.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)) (PI.f32))) (log.f32 (*.f32 alpha alpha)))
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (fma.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)) (PI.f32))) (*.f32 (log.f32 alpha) #s(literal 2 binary32)))
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(*.f32 (/.f32 (-.f32 alpha #s(literal 1 binary32)) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #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 #s(literal 1 binary32) (*.f32 alpha alpha)) (*.f32 (*.f32 (neg.f32 (PI.f32)) (fma.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))) (log.f32 (*.f32 alpha alpha))))
(*.f32 (/.f32 (-.f32 alpha #s(literal -1 binary32)) (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (PI.f32))) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)) (-.f32 alpha #s(literal 1 binary32)))))
(*.f32 (/.f32 (-.f32 alpha #s(literal 1 binary32)) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #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 (-.f32 alpha #s(literal 1 binary32)) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (-.f32 alpha #s(literal -1 binary32)))))
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (-.f32 alpha #s(literal 1 binary32)))) (/.f32 (-.f32 alpha #s(literal -1 binary32)) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32))))
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (PI.f32)) (-.f32 alpha #s(literal -1 binary32)))) (/.f32 (-.f32 #s(literal 1 binary32) alpha) (*.f32 #s(literal -2 binary32) (log.f32 alpha))))
(*.f32 (/.f32 (-.f32 alpha #s(literal -1 binary32)) (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) alpha) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha)))))
(/.f32 (fma.f32 (-.f32 alpha #s(literal -1 binary32)) alpha (*.f32 (-.f32 alpha #s(literal -1 binary32)) #s(literal -1 binary32))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(/.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha (*.f32 (-.f32 alpha #s(literal 1 binary32)) #s(literal 1 binary32))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(*.f32 (/.f32 (-.f32 alpha #s(literal 1 binary32)) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 (-.f32 alpha #s(literal -1 binary32)) (log.f32 (*.f32 alpha alpha))))))
(/.f32 (+.f32 (*.f32 (-.f32 alpha #s(literal -1 binary32)) alpha) (*.f32 (-.f32 alpha #s(literal -1 binary32)) #s(literal -1 binary32))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (fma.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (*.f32 #s(literal -1 binary32) cosTheta)) cosTheta #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 (PI.f32) (*.f32 (fma.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha))))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (*.f32 #s(literal -1 binary32) cosTheta)) cosTheta))))
(*.f32 (/.f32 (-.f32 alpha #s(literal -1 binary32)) (fma.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))))
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))) (/.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1/2 binary32)) (*.f32 (PI.f32) (log.f32 alpha))))
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 (*.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (neg.f32 cosTheta)) cosTheta) (PI.f32) (*.f32 #s(literal 1 binary32) (PI.f32)))) (log.f32 (*.f32 alpha alpha)))
(*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)) (PI.f32))) (log.f32 (*.f32 alpha alpha))))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha))) (*.f32 alpha 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 (-.f32 alpha #s(literal 1 binary32)) (PI.f32)) (/.f32 (-.f32 alpha #s(literal -1 binary32)) (fma.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)))) (log.f32 (*.f32 alpha alpha)))
(/.f32 (*.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)))) (log.f32 (*.f32 alpha alpha)))
(*.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) alpha)) alpha) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))) (/.f32 (-.f32 alpha #s(literal -1 binary32)) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32))))
(*.f32 (/.f32 (-.f32 alpha #s(literal -1 binary32)) (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (PI.f32))) (/.f32 #s(approx (- 1 alpha) (*.f32 alpha (-.f32 (/.f32 #s(literal 1 binary32) alpha) #s(literal 1 binary32)))) (*.f32 #s(literal -2 binary32) (log.f32 alpha))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (*.f32 alpha alpha) #s(approx (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI)) (PI.f32)))))
(*.f32 (/.f32 (-.f32 alpha #s(literal 1 binary32)) (*.f32 (fma.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (*.f32 #s(literal -1 binary32) cosTheta)) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (-.f32 alpha #s(literal -1 binary32)) (log.f32 (*.f32 alpha alpha))))
Outputs
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 alpha alpha)) (*.f32 (*.f32 (neg.f32 (PI.f32)) (fma.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))) (log.f32 (*.f32 alpha alpha))))
Calls

4 calls:

21.0ms
(*.f32 alpha alpha)
19.0ms
(/.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))))
18.0ms
cosTheta
17.0ms
alpha
Results
AccuracySegmentsBranch
97.5%1(*.f32 alpha alpha)
97.5%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))))
97.5%1alpha
97.5%1cosTheta
Compiler

Compiled 22 to 20 computations (9.1% saved)

regimes50.0ms (0.6%)

Memory
11.8MiB live, 101.6MiB allocated; 3ms collecting garbage
Counts
49 → 1
Calls
Call 1
Inputs
(/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) #s(approx (* (* (PI) (* 2 (log alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 alpha)))))
(/.f32 #s(approx (- (* 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 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(/.f32 (/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) (PI.f32)) (*.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(/.f32 (/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) (PI.f32)) (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha))))
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(approx (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI)) (PI.f32))) (log.f32 (*.f32 alpha alpha)))
(*.f32 (/.f32 (-.f32 alpha #s(literal -1 binary32)) (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (PI.f32))) #s(approx (/ (- 1 alpha) (* -2 (log alpha))) (/.f32 #s(literal -1/2 binary32) (log.f32 alpha))))
(/.f32 (*.f32 (/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) (log.f32 (*.f32 alpha alpha))) #s(literal 1 binary32)) (*.f32 (PI.f32) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(*.f32 #s(approx (/ (- alpha 1) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (-.f32 alpha #s(literal 1 binary32))) (/.f32 (-.f32 alpha #s(literal -1 binary32)) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (*.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)) (PI.f32))))
(/.f32 (fma.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))))
#s(approx (* (/ (- alpha -1) (* (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (PI))) (/ (- 1 alpha) (* -2 (log alpha)))) (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 #s(literal 1 binary32) alpha)) (*.f32 (PI.f32) (log.f32 alpha)))))
(/.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 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(*.f32 (/.f32 (-.f32 alpha #s(literal 1 binary32)) #s(approx (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI)) (PI.f32))) (/.f32 (-.f32 alpha #s(literal -1 binary32)) (log.f32 (*.f32 alpha alpha))))
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)))) (PI.f32))
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha)))) (PI.f32))
(*.f32 #s(approx (/ (- alpha -1) (* (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (PI))) (/.f32 (+.f32 #s(literal 1 binary32) alpha) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) alpha) (*.f32 #s(literal -2 binary32) (log.f32 alpha))))
(/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 alpha alpha)) (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (PI.f32))) (*.f32 (log.f32 alpha) #s(literal -2 binary32)))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 alpha alpha)) (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (PI.f32))) (/.f32 #s(literal -1/2 binary32) (log.f32 alpha)))
(*.f32 (-.f32 alpha #s(literal -1 binary32)) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (*.f32 (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (PI.f32)) (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 (fma.f32 alpha alpha #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))))
(/.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 (*.f32 (/.f32 (-.f32 alpha #s(literal -1 binary32)) (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (PI.f32))) (-.f32 alpha #s(literal 1 binary32))) (*.f32 (log.f32 alpha) #s(literal 2 binary32)))
(*.f32 (-.f32 alpha #s(literal -1 binary32)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) alpha) #s(literal -1/2 binary32)) (log.f32 alpha)) (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (PI.f32))))
(*.f32 (/.f32 (-.f32 alpha #s(literal -1 binary32)) (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) alpha) (*.f32 #s(literal -2 binary32) (log.f32 alpha))))
(*.f32 (/.f32 (-.f32 alpha #s(literal 1 binary32)) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))) (/.f32 (-.f32 alpha #s(literal -1 binary32)) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32))))
(*.f32 (/.f32 (-.f32 alpha #s(literal 1 binary32)) (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha)))) (/.f32 (-.f32 alpha #s(literal -1 binary32)) (PI.f32)))
(*.f32 (/.f32 (/.f32 (-.f32 alpha #s(literal -1 binary32)) (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (PI.f32))) (log.f32 alpha)) (*.f32 (-.f32 #s(literal 1 binary32) alpha) #s(literal -1/2 binary32)))
(/.f32 (*.f32 (/.f32 (-.f32 alpha #s(literal -1 binary32)) (PI.f32)) (-.f32 alpha #s(literal 1 binary32))) (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha))))
(/.f32 (*.f32 (/.f32 (-.f32 alpha #s(literal -1 binary32)) (log.f32 (*.f32 alpha alpha))) (-.f32 alpha #s(literal 1 binary32))) (*.f32 (PI.f32) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(*.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (PI.f32))) (/.f32 #s(literal -1 binary32) (*.f32 #s(literal -2 binary32) (log.f32 alpha))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha))) (fma.f32 alpha alpha #s(literal -1 binary32))))
(/.f32 (*.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (*.f32 alpha alpha))) #s(literal 1 binary32)) (*.f32 (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) #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)) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))) (/.f32 (/.f32 (-.f32 alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (PI.f32)) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (log.f32 alpha) #s(literal 2 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha))) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32))))
(/.f32 (*.f32 #s(approx (/ (+ (* alpha alpha) -1) (PI)) (/.f32 #s(literal -1 binary32) (PI.f32))) (/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)))) (log.f32 (*.f32 alpha alpha)))
(/.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1/2 binary32)) (*.f32 (*.f32 (fma.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)) (PI.f32)) (log.f32 alpha)))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 (fma.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha)))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))) (PI.f32)))
(/.f32 (/.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1/2 binary32)) (*.f32 (PI.f32) (log.f32 alpha))) (fma.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)))
(*.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (/.f32 #s(literal 1/2 binary32) (*.f32 (fma.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)) (log.f32 alpha))))
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (fma.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)) (PI.f32))) (log.f32 (*.f32 alpha alpha)))
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (fma.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)) (PI.f32))) (*.f32 (log.f32 alpha) #s(literal 2 binary32)))
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(*.f32 (/.f32 (-.f32 alpha #s(literal 1 binary32)) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) (-.f32 alpha #s(literal -1 binary32))))
Outputs
(/.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1/2 binary32)) (*.f32 (*.f32 (fma.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)) (PI.f32)) (log.f32 alpha)))
Calls

4 calls:

13.0ms
(*.f32 alpha alpha)
12.0ms
alpha
12.0ms
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
12.0ms
cosTheta
Results
AccuracySegmentsBranch
97.5%1cosTheta
97.5%1(*.f32 alpha alpha)
97.5%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))))
97.5%1alpha
Compiler

Compiled 22 to 20 computations (9.1% saved)

regimes46.0ms (0.6%)

Memory
-16.4MiB live, 73.9MiB allocated; 9ms collecting garbage
Counts
40 → 1
Calls
Call 1
Inputs
(/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) #s(approx (* (* (PI) (* 2 (log alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 alpha)))))
(/.f32 #s(approx (- (* 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 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(/.f32 (/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) (PI.f32)) (*.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(/.f32 (/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) (PI.f32)) (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha))))
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(approx (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI)) (PI.f32))) (log.f32 (*.f32 alpha alpha)))
(*.f32 (/.f32 (-.f32 alpha #s(literal -1 binary32)) (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (PI.f32))) #s(approx (/ (- 1 alpha) (* -2 (log alpha))) (/.f32 #s(literal -1/2 binary32) (log.f32 alpha))))
(/.f32 (*.f32 (/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) (log.f32 (*.f32 alpha alpha))) #s(literal 1 binary32)) (*.f32 (PI.f32) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(*.f32 #s(approx (/ (- alpha 1) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (-.f32 alpha #s(literal 1 binary32))) (/.f32 (-.f32 alpha #s(literal -1 binary32)) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (*.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)) (PI.f32))))
(/.f32 (fma.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))))
#s(approx (* (/ (- alpha -1) (* (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (PI))) (/ (- 1 alpha) (* -2 (log alpha)))) (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 #s(literal 1 binary32) alpha)) (*.f32 (PI.f32) (log.f32 alpha)))))
(/.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 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(*.f32 (/.f32 (-.f32 alpha #s(literal 1 binary32)) #s(approx (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI)) (PI.f32))) (/.f32 (-.f32 alpha #s(literal -1 binary32)) (log.f32 (*.f32 alpha alpha))))
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)))) (PI.f32))
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha)))) (PI.f32))
(*.f32 #s(approx (/ (- alpha -1) (* (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (PI))) (/.f32 (+.f32 #s(literal 1 binary32) alpha) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) alpha) (*.f32 #s(literal -2 binary32) (log.f32 alpha))))
(/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 alpha alpha)) (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (PI.f32))) (*.f32 (log.f32 alpha) #s(literal -2 binary32)))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 alpha alpha)) (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (PI.f32))) (/.f32 #s(literal -1/2 binary32) (log.f32 alpha)))
(*.f32 (-.f32 alpha #s(literal -1 binary32)) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (*.f32 (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (PI.f32)) (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 (fma.f32 alpha alpha #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))))
(/.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 (*.f32 (/.f32 (-.f32 alpha #s(literal -1 binary32)) (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (PI.f32))) (-.f32 alpha #s(literal 1 binary32))) (*.f32 (log.f32 alpha) #s(literal 2 binary32)))
(*.f32 (-.f32 alpha #s(literal -1 binary32)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) alpha) #s(literal -1/2 binary32)) (log.f32 alpha)) (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (PI.f32))))
(*.f32 (/.f32 (-.f32 alpha #s(literal -1 binary32)) (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) alpha) (*.f32 #s(literal -2 binary32) (log.f32 alpha))))
(*.f32 (/.f32 (-.f32 alpha #s(literal 1 binary32)) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))) (/.f32 (-.f32 alpha #s(literal -1 binary32)) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32))))
(*.f32 (/.f32 (-.f32 alpha #s(literal 1 binary32)) (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha)))) (/.f32 (-.f32 alpha #s(literal -1 binary32)) (PI.f32)))
(*.f32 (/.f32 (/.f32 (-.f32 alpha #s(literal -1 binary32)) (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (PI.f32))) (log.f32 alpha)) (*.f32 (-.f32 #s(literal 1 binary32) alpha) #s(literal -1/2 binary32)))
(/.f32 (*.f32 (/.f32 (-.f32 alpha #s(literal -1 binary32)) (PI.f32)) (-.f32 alpha #s(literal 1 binary32))) (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha))))
(/.f32 (*.f32 (/.f32 (-.f32 alpha #s(literal -1 binary32)) (log.f32 (*.f32 alpha alpha))) (-.f32 alpha #s(literal 1 binary32))) (*.f32 (PI.f32) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(*.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (PI.f32))) (/.f32 #s(literal -1 binary32) (*.f32 #s(literal -2 binary32) (log.f32 alpha))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha))) (fma.f32 alpha alpha #s(literal -1 binary32))))
(/.f32 (*.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (*.f32 alpha alpha))) #s(literal 1 binary32)) (*.f32 (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) #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)) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))) (/.f32 (/.f32 (-.f32 alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (PI.f32)) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (log.f32 alpha) #s(literal 2 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha))) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32))))
(/.f32 (*.f32 #s(approx (/ (+ (* alpha alpha) -1) (PI)) (/.f32 #s(literal -1 binary32) (PI.f32))) (/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)))) (log.f32 (*.f32 alpha alpha)))
Outputs
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)))) (PI.f32))
Calls

4 calls:

14.0ms
(*.f32 alpha alpha)
10.0ms
alpha
9.0ms
(/.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))))
9.0ms
cosTheta
Results
AccuracySegmentsBranch
96.0%1(*.f32 alpha alpha)
96.0%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))))
96.0%1cosTheta
96.0%1alpha
Compiler

Compiled 22 to 20 computations (9.1% saved)

regimes18.0ms (0.2%)

Memory
37.9MiB live, 38.0MiB allocated; 0ms collecting garbage
Counts
15 → 1
Calls
Call 1
Inputs
(/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) #s(approx (* (* (PI) (* 2 (log alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 alpha)))))
(/.f32 #s(approx (- (* 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 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(/.f32 (/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) (PI.f32)) (*.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(/.f32 (/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) (PI.f32)) (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha))))
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(approx (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI)) (PI.f32))) (log.f32 (*.f32 alpha alpha)))
(*.f32 (/.f32 (-.f32 alpha #s(literal -1 binary32)) (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (PI.f32))) #s(approx (/ (- 1 alpha) (* -2 (log alpha))) (/.f32 #s(literal -1/2 binary32) (log.f32 alpha))))
(/.f32 (*.f32 (/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) (log.f32 (*.f32 alpha alpha))) #s(literal 1 binary32)) (*.f32 (PI.f32) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(*.f32 #s(approx (/ (- alpha 1) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (-.f32 alpha #s(literal 1 binary32))) (/.f32 (-.f32 alpha #s(literal -1 binary32)) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (*.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)) (PI.f32))))
(/.f32 (fma.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))))
#s(approx (* (/ (- alpha -1) (* (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (PI))) (/ (- 1 alpha) (* -2 (log alpha)))) (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 #s(literal 1 binary32) alpha)) (*.f32 (PI.f32) (log.f32 alpha)))))
(/.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 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(*.f32 (/.f32 (-.f32 alpha #s(literal 1 binary32)) #s(approx (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI)) (PI.f32))) (/.f32 (-.f32 alpha #s(literal -1 binary32)) (log.f32 (*.f32 alpha alpha))))
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:

4.0ms
alpha
4.0ms
(/.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))))
4.0ms
cosTheta
4.0ms
(*.f32 alpha alpha)
Results
AccuracySegmentsBranch
95.9%1(*.f32 alpha alpha)
95.9%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))))
95.9%1cosTheta
95.9%1alpha
Compiler

Compiled 22 to 20 computations (9.1% saved)

regimes22.0ms (0.3%)

Memory
-7.5MiB live, 34.4MiB allocated; 8ms collecting garbage
Counts
12 → 1
Calls
Call 1
Inputs
(/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) #s(approx (* (* (PI) (* 2 (log alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 alpha)))))
(/.f32 #s(approx (- (* 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 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(/.f32 (/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) (PI.f32)) (*.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(/.f32 (/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) (PI.f32)) (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha))))
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(approx (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI)) (PI.f32))) (log.f32 (*.f32 alpha alpha)))
(*.f32 (/.f32 (-.f32 alpha #s(literal -1 binary32)) (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (PI.f32))) #s(approx (/ (- 1 alpha) (* -2 (log alpha))) (/.f32 #s(literal -1/2 binary32) (log.f32 alpha))))
(/.f32 (*.f32 (/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) (log.f32 (*.f32 alpha alpha))) #s(literal 1 binary32)) (*.f32 (PI.f32) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(*.f32 #s(approx (/ (- alpha 1) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (-.f32 alpha #s(literal 1 binary32))) (/.f32 (-.f32 alpha #s(literal -1 binary32)) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (*.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)) (PI.f32))))
(/.f32 (fma.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))))
#s(approx (* (/ (- alpha -1) (* (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (PI))) (/ (- 1 alpha) (* -2 (log alpha)))) (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 #s(literal 1 binary32) alpha)) (*.f32 (PI.f32) (log.f32 alpha)))))
Outputs
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (*.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)) (PI.f32))))
Calls

4 calls:

10.0ms
(/.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))))
4.0ms
alpha
4.0ms
cosTheta
3.0ms
(*.f32 alpha alpha)
Results
AccuracySegmentsBranch
95.9%1(*.f32 alpha alpha)
95.9%1cosTheta
95.9%1alpha
95.9%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))))
Compiler

Compiled 22 to 20 computations (9.1% saved)

regimes15.0ms (0.2%)

Memory
-13.1MiB live, 32.3MiB allocated; 2ms collecting garbage
Counts
9 → 1
Calls
Call 1
Inputs
(/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) #s(approx (* (* (PI) (* 2 (log alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 alpha)))))
(/.f32 #s(approx (- (* 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 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(/.f32 (/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) (PI.f32)) (*.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(/.f32 (/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) (PI.f32)) (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha))))
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(approx (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI)) (PI.f32))) (log.f32 (*.f32 alpha alpha)))
(*.f32 (/.f32 (-.f32 alpha #s(literal -1 binary32)) (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (PI.f32))) #s(approx (/ (- 1 alpha) (* -2 (log alpha))) (/.f32 #s(literal -1/2 binary32) (log.f32 alpha))))
(/.f32 (*.f32 (/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) (log.f32 (*.f32 alpha alpha))) #s(literal 1 binary32)) (*.f32 (PI.f32) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(*.f32 #s(approx (/ (- alpha 1) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (-.f32 alpha #s(literal 1 binary32))) (/.f32 (-.f32 alpha #s(literal -1 binary32)) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32))))
Outputs
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(approx (* (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (PI)) (PI.f32))) (log.f32 (*.f32 alpha alpha)))
Calls

4 calls:

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))))
3.0ms
alpha
3.0ms
cosTheta
3.0ms
(*.f32 alpha alpha)
Results
AccuracySegmentsBranch
95.7%1(*.f32 alpha alpha)
95.7%1(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
95.7%1cosTheta
95.7%1alpha
Compiler

Compiled 22 to 20 computations (9.1% saved)

regimes8.0ms (0.1%)

Memory
22.5MiB live, 22.5MiB allocated; 0ms collecting garbage
Counts
5 → 1
Calls
Call 1
Inputs
(/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) #s(approx (* (* (PI) (* 2 (log alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 alpha)))))
(/.f32 #s(approx (- (* 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 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(/.f32 (/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) (PI.f32)) (*.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(/.f32 (/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) (PI.f32)) (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha))))
Outputs
(/.f32 (/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) (PI.f32)) (*.f32 #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha))))
Calls

4 calls:

2.0ms
(/.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))))
2.0ms
alpha
2.0ms
cosTheta
2.0ms
(*.f32 alpha alpha)
Results
AccuracySegmentsBranch
65.3%1(*.f32 alpha alpha)
65.3%1(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
65.3%1cosTheta
65.3%1alpha
Compiler

Compiled 22 to 20 computations (9.1% saved)

regimes10.0ms (0.1%)

Memory
-24.4MiB live, 20.8MiB allocated; 3ms collecting garbage
Counts
4 → 1
Calls
Call 1
Inputs
(/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) #s(approx (* (* (PI) (* 2 (log alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 alpha)))))
(/.f32 #s(approx (- (* 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 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(/.f32 (/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) (PI.f32)) (*.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
Outputs
(/.f32 (/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) (PI.f32)) (*.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
Calls

4 calls:

4.0ms
alpha
2.0ms
(/.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))))
2.0ms
(*.f32 alpha alpha)
2.0ms
cosTheta
Results
AccuracySegmentsBranch
65.3%1cosTheta
65.3%1(*.f32 alpha alpha)
65.3%1alpha
65.3%1(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
Compiler

Compiled 22 to 20 computations (9.1% saved)

regimes6.0ms (0.1%)

Memory
17.8MiB live, 17.8MiB allocated; 0ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
3 → 1
Calls
Call 1
Inputs
(/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) #s(approx (* (* (PI) (* 2 (log alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 alpha)))))
(/.f32 #s(approx (- (* 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 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
Outputs
(/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) #s(approx (* (* (PI) (* 2 (log alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 alpha)))))
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
65.2%1cosTheta
65.2%1(*.f32 alpha alpha)
65.2%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))))
65.2%1alpha
Compiler

Compiled 22 to 20 computations (9.1% saved)

derivations501.0ms (6.3%)

Memory
-33.6MiB live, 507.2MiB allocated; 120ms collecting garbage
Stop Event
fuel
Compiler

Compiled 177 to 80 computations (54.8% saved)

preprocess94.0ms (1.2%)

Memory
18.3MiB live, 250.0MiB allocated; 15ms collecting garbage
Remove

(abs alpha)

(abs cosTheta)

Compiler

Compiled 1 151 to 1 001 computations (13% saved)

end0.0ms (0%)

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

Profiling

Loading profile data...