Trowbridge-Reitz Sample, near normal, slope_x

Time bar (total: 4.7s)

start0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

analyze152.0ms (3.2%)

Memory
32.9MiB live, 220.0MiB allocated; 26ms collecting garbage
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%0%100%0%0%0%0
0%0%0%100%0%0%0%1
0%0%0%100%0%0%0%2
0%0%0%100%0%0%0%3
0%0%0%100%0%0%0%4
0%0%0%100%0%0%0%5
18.7%0%0%100%0%0%0%6
28.1%0%0%100%0%0%0%7
32.8%0%0%100%0%0%0%8
49.2%0%0%100%0%0%0%9
57.4%0%0%100%0%0%0%10
61.5%0%0%100%0%0%0%11
71.8%0%0%100%0%0%0%12
Compiler

Compiled 35 to 25 computations (28.6% saved)

sample1.0s (21.7%)

Memory
18.5MiB live, 1 028.6MiB allocated; 772ms collecting garbage
Samples
807.0ms8 254×0valid
0.0ms6×0invalid
0.0ms2×1valid
Precisions
Click to see histograms. Total time spent on operations: 614.0ms
ival-mult!: 374.0ms (60.9% of total)
ival-cos: 90.0ms (14.7% of total)
ival-sqrt: 62.0ms (10.1% of total)
ival-div!: 47.0ms (7.7% of total)
ival-sub!: 28.0ms (4.6% of total)
ival-<=: 5.0ms (0.8% of total)
ival-and: 4.0ms (0.7% of total)
ival->: 2.0ms (0.3% of total)
adjust: 1.0ms (0.2% of total)
ival-assert: 1.0ms (0.2% of total)
const: 0.0ms (0% of total)
Bogosity

preprocess47.0ms (1%)

Memory
-8.8MiB live, 42.6MiB allocated; 12ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
036115
1128115
2408113
31598113
Stop Event
1×node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.0%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Symmetry

(abs cosTheta_i)

(abs u2)

Compiler

Compiled 20 to 22 computations (-10% saved)

series18.0ms (0.4%)

Memory
28.2MiB live, 28.2MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02491240
Stop Event
1×iter-limit
Counts
10 → 45
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
u1
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
#s(literal 314159265359/50000000000 binary32)
u2
Outputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (pow.f32 u1 #s(literal 2 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 u1)) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1) (*.f32 (pow.f32 u1 #s(literal 2 binary32)) (fma.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 u1 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 u1)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1) (*.f32 (pow.f32 u1 #s(literal 2 binary32)) (fma.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)) (*.f32 u1 (fma.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 u1 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 u1) #s(literal 2 binary32))))))) (sqrt.f32 u1)))))))))
#s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))
#s(approx (sqrt (/ u1 (- 1 u1))) (+.f32 (sqrt.f32 u1) (*.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 u1 #s(literal 2 binary32)) (sqrt.f32 u1)))))
#s(approx (sqrt (/ u1 (- 1 u1))) (+.f32 (sqrt.f32 u1) (*.f32 (pow.f32 u1 #s(literal 2 binary32)) (fma.f32 #s(literal 1/2 binary32) (/.f32 u1 (sqrt.f32 u1)) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)))))))
#s(approx (sqrt (/ u1 (- 1 u1))) (+.f32 (sqrt.f32 u1) (*.f32 (pow.f32 u1 #s(literal 2 binary32)) (fma.f32 u1 (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 u1) #s(literal 2 binary32)))))) (sqrt.f32 u1)) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)))))))
#s(approx (/ u1 (- 1 u1)) u1)
#s(approx (/ u1 (- 1 u1)) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))
#s(approx (/ u1 (- 1 u1)) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))
#s(approx (/ u1 (- 1 u1)) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))))
#s(approx (- 1 u1) #s(literal 1 binary32))
#s(approx (- 1 u1) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 u1 (sqrt.f32 #s(literal -1 binary32)))) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 u1 (sqrt.f32 #s(literal -1 binary32)))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32)))))) (*.f32 (pow.f32 u1 #s(literal 2 binary32)) (sqrt.f32 #s(literal -1 binary32)))) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 u1 (sqrt.f32 #s(literal -1 binary32)))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32)))))) (*.f32 (pow.f32 u1 #s(literal 2 binary32)) (sqrt.f32 #s(literal -1 binary32)))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32))))) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32)))))) (*.f32 (pow.f32 u1 #s(literal 3 binary32)) (sqrt.f32 #s(literal -1 binary32)))) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32)))))))
#s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 #s(literal -1 binary32)))
#s(approx (sqrt (/ u1 (- 1 u1))) (-.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 (sqrt.f32 #s(literal -1 binary32)))))))
#s(approx (sqrt (/ u1 (- 1 u1))) (-.f32 (+.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32))))) (*.f32 (pow.f32 u1 #s(literal 2 binary32)) (sqrt.f32 #s(literal -1 binary32)))))) (/.f32 #s(literal 1/2 binary32) (*.f32 u1 (sqrt.f32 #s(literal -1 binary32))))))
#s(approx (sqrt (/ u1 (- 1 u1))) (-.f32 (+.f32 (sqrt.f32 #s(literal -1 binary32)) (fma.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32))))) (*.f32 (pow.f32 u1 #s(literal 2 binary32)) (sqrt.f32 #s(literal -1 binary32)))) (*.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32))))) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32))))) (*.f32 (pow.f32 u1 #s(literal 3 binary32)) (sqrt.f32 #s(literal -1 binary32))))))) (/.f32 #s(literal 1/2 binary32) (*.f32 u1 (sqrt.f32 #s(literal -1 binary32))))))
#s(approx (/ u1 (- 1 u1)) #s(literal -1 binary32))
#s(approx (/ u1 (- 1 u1)) (*.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1))))
#s(approx (/ u1 (- 1 u1)) (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) u1)) #s(literal 1 binary32)))
#s(approx (/ u1 (- 1 u1)) (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) (pow.f32 u1 #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1))))
#s(approx (- 1 u1) (*.f32 #s(literal -1 binary32) u1))
#s(approx (- 1 u1) (*.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32))) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32)))))) (*.f32 u1 (sqrt.f32 #s(literal -1 binary32)))))) u1) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32)))))) (sqrt.f32 #s(literal -1 binary32))) (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32))))) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32)))))) (*.f32 u1 (sqrt.f32 #s(literal -1 binary32)))))) u1) (*.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32))))) u1) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32)))))
#s(approx (sqrt (/ u1 (- 1 u1))) (+.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32))))) (*.f32 u1 (sqrt.f32 #s(literal -1 binary32)))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32))))) u1))))
#s(approx (sqrt (/ u1 (- 1 u1))) (+.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32))))) (sqrt.f32 #s(literal -1 binary32))) (*.f32 #s(literal -1/2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32))))) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32))))) (*.f32 u1 (sqrt.f32 #s(literal -1 binary32)))))) u1) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32))))) u1))))
#s(approx (/ u1 (- 1 u1)) (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 2 binary32))))) u1)) #s(literal 1 binary32)))
#s(approx (- 1 u1) (*.f32 #s(literal -1 binary32) (*.f32 u1 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (+.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (pow.f32 u2 #s(literal 2 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (+.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (pow.f32 u2 #s(literal 2 binary32)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 (pow.f32 u2 #s(literal 2 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (+.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (pow.f32 u2 #s(literal 2 binary32)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (pow.f32 u2 #s(literal 2 binary32)) (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 (pow.f32 u2 #s(literal 2 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))))))
#s(approx (cos (* 314159265359/50000000000 u2)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (pow.f32 u2 #s(literal 2 binary32)))))
#s(approx (cos (* 314159265359/50000000000 u2)) (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 u2 #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 2 binary32))) #s(literal 98696044010906577398881/5000000000000000000000 binary32)))))
#s(approx (cos (* 314159265359/50000000000 u2)) (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 u2 #s(literal 2 binary32)) (-.f32 (*.f32 (pow.f32 u2 #s(literal 2 binary32)) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 2 binary32))))) #s(literal 98696044010906577398881/5000000000000000000000 binary32)))))
#s(approx (* 314159265359/50000000000 u2) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
#s(approx u2 u2)
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (cos (* 314159265359/50000000000 u2)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Calls

9 calls:

TimeVariablePointExpression
2.0ms
u1
@inf
((* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) u1 (- 1 u1) 1 (cos (* 314159265359/50000000000 u2)) (* 314159265359/50000000000 u2) 314159265359/50000000000 u2)
1.0ms
u1
@-inf
((* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) u1 (- 1 u1) 1 (cos (* 314159265359/50000000000 u2)) (* 314159265359/50000000000 u2) 314159265359/50000000000 u2)
1.0ms
u2
@0
((* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) u1 (- 1 u1) 1 (cos (* 314159265359/50000000000 u2)) (* 314159265359/50000000000 u2) 314159265359/50000000000 u2)
1.0ms
u2
@inf
((* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) u1 (- 1 u1) 1 (cos (* 314159265359/50000000000 u2)) (* 314159265359/50000000000 u2) 314159265359/50000000000 u2)
1.0ms
u1
@0
((* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) u1 (- 1 u1) 1 (cos (* 314159265359/50000000000 u2)) (* 314159265359/50000000000 u2) 314159265359/50000000000 u2)

rewrite45.0ms (1%)

Memory
3.9MiB live, 49.0MiB allocated; 4ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01036
01636
16236
035736
182136
Stop Event
1×saturated
1×iter-limit
1×iter-limit
1×unsound
1×iter-limit
Counts
10 → 38
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
u1
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
#s(literal 314159265359/50000000000 binary32)
u2
Outputs
(*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))
(sqrt.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32))
(fabs.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(fabs.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) u1)
(*.f32 (neg.f32 u1) (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal 1 binary32))))
(*.f32 #s(literal 1 binary32) (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 u1 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))))
(/.f32 (neg.f32 (neg.f32 u1)) (-.f32 #s(literal 1 binary32) u1))
(/.f32 (neg.f32 u1) (-.f32 u1 #s(literal 1 binary32)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
(neg.f32 (/.f32 (neg.f32 u1) (-.f32 #s(literal 1 binary32) u1)))
(neg.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32))))
u1
(-.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 u1)))
(-.f32 #s(literal 1 binary32) u1)
(+.f32 (neg.f32 u1) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (neg.f32 u1))
(neg.f32 (-.f32 u1 #s(literal 1 binary32)))
#s(literal 1 binary32)
(fma.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (cos.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sin.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))))
(sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 (PI.f32) #s(literal 1/2 binary32))))
(sin.f32 (fma.f32 (fabs.f32 u2) #s(literal 314159265359/50000000000 binary32) (*.f32 (PI.f32) #s(literal 1/2 binary32))))
(sin.f32 (fma.f32 (PI.f32) #s(literal 1/2 binary32) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(+.f32 (*.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (cos.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sin.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))))
(cos.f32 (neg.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))
(cos.f32 (neg.f32 (*.f32 (fabs.f32 u2) #s(literal 314159265359/50000000000 binary32))))
(cos.f32 (fabs.f32 (*.f32 (fabs.f32 u2) #s(literal 314159265359/50000000000 binary32))))
(cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))
(cos.f32 (*.f32 (fabs.f32 u2) #s(literal 314159265359/50000000000 binary32)))
(cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
#s(literal 314159265359/50000000000 binary32)
u2

eval6.0ms (0.1%)

Memory
12.2MiB live, 12.2MiB allocated; 0ms collecting garbage
Compiler

Compiled 906 to 390 computations (57% saved)

prune14.0ms (0.3%)

Memory
-22.3MiB live, 23.0MiB allocated; 3ms collecting garbage
Pruning

18 alts after pruning (17 fresh and 1 done)

PrunedKeptTotal
New581775
Fresh000
Picked011
Done000
Total581876
Accuracy
99.7%
Counts
76 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.8%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (fma.f32 (fabs.f32 u2) #s(literal 314159265359/50000000000 binary32) (*.f32 (PI.f32) #s(literal 1/2 binary32)))))
98.7%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (fma.f32 (PI.f32) #s(literal 1/2 binary32) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
▶99.0%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 (PI.f32) #s(literal 1/2 binary32)))))
✓99.0%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
▶91.8%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 u2 #s(literal 2 binary32)) (-.f32 (*.f32 (pow.f32 u2 #s(literal 2 binary32)) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 2 binary32))))) #s(literal 98696044010906577398881/5000000000000000000000 binary32))))))
90.0%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 u2 #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 2 binary32))) #s(literal 98696044010906577398881/5000000000000000000000 binary32))))))
87.3%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (pow.f32 u2 #s(literal 2 binary32))))))
▶98.6%
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.9%
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
▶84.9%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
71.9%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
90.8%
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (+.f32 (sqrt.f32 u1) (*.f32 (pow.f32 u1 #s(literal 2 binary32)) (fma.f32 u1 (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 u1) #s(literal 2 binary32)))))) (sqrt.f32 u1)) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
87.7%
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (+.f32 (sqrt.f32 u1) (*.f32 (pow.f32 u1 #s(literal 2 binary32)) (fma.f32 #s(literal 1/2 binary32) (/.f32 u1 (sqrt.f32 u1)) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
85.3%
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (+.f32 (sqrt.f32 u1) (*.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 u1 #s(literal 2 binary32)) (sqrt.f32 u1))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
87.8%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1) (*.f32 (pow.f32 u1 #s(literal 2 binary32)) (fma.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 u1 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 u1)))))))
90.0%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (+.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (pow.f32 u2 #s(literal 2 binary32)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 (pow.f32 u2 #s(literal 2 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))))))
87.3%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (+.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (pow.f32 u2 #s(literal 2 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))))
▶80.2%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
Compiler

Compiled 672 to 651 computations (3.1% saved)

series35.0ms (0.7%)

Memory
10.3MiB live, 55.3MiB allocated; 3ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04442839
Stop Event
1×iter-limit
Counts
42 → 99
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 (PI.f32) #s(literal 1/2 binary32)))))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
u1
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
(sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 (PI.f32) #s(literal 1/2 binary32))))
(fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 (PI.f32) #s(literal 1/2 binary32)))
#s(literal -314159265359/50000000000 binary32)
u2
(*.f32 (PI.f32) #s(literal 1/2 binary32))
(PI.f32)
#s(literal 1/2 binary32)
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))
#s(approx (/ u1 (- 1 u1)) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))
(*.f32 u1 (+.f32 #s(literal 1 binary32) u1))
(+.f32 #s(literal 1 binary32) u1)
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
#s(literal 314159265359/50000000000 binary32)
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))))))
(/.f32 u1 #s(approx (- 1 u1) (*.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))))
#s(approx (- 1 u1) (*.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))))
(*.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))
(-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) u1)
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 u2 #s(literal 2 binary32)) (-.f32 (*.f32 (pow.f32 u2 #s(literal 2 binary32)) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 2 binary32))))) #s(literal 98696044010906577398881/5000000000000000000000 binary32))))))
#s(approx (cos (* 314159265359/50000000000 u2)) (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 u2 #s(literal 2 binary32)) (-.f32 (*.f32 (pow.f32 u2 #s(literal 2 binary32)) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 2 binary32))))) #s(literal 98696044010906577398881/5000000000000000000000 binary32)))))
(+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 u2 #s(literal 2 binary32)) (-.f32 (*.f32 (pow.f32 u2 #s(literal 2 binary32)) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 2 binary32))))) #s(literal 98696044010906577398881/5000000000000000000000 binary32))))
(*.f32 (pow.f32 u2 #s(literal 2 binary32)) (-.f32 (*.f32 (pow.f32 u2 #s(literal 2 binary32)) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 2 binary32))))) #s(literal 98696044010906577398881/5000000000000000000000 binary32)))
(pow.f32 u2 #s(literal 2 binary32))
#s(literal 2 binary32)
(-.f32 (*.f32 (pow.f32 u2 #s(literal 2 binary32)) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 2 binary32))))) #s(literal 98696044010906577398881/5000000000000000000000 binary32))
(*.f32 (pow.f32 u2 #s(literal 2 binary32)) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 2 binary32)))))
(+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 2 binary32))))
#s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)
(*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 2 binary32)))
#s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)
#s(literal 98696044010906577398881/5000000000000000000000 binary32)
Outputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (* (PI) 1/2)))) (*.f32 (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (sqrt.f32 u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (* (PI) 1/2)))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (pow.f32 u1 #s(literal 2 binary32)) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 #s(literal 1/2 binary32) (PI.f32))))) (sqrt.f32 u1)) (*.f32 (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (* (PI) 1/2)))) (fma.f32 (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (sqrt.f32 u1) (*.f32 (pow.f32 u1 #s(literal 2 binary32)) (fma.f32 #s(literal 1/2 binary32) (/.f32 (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (sqrt.f32 u1)) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 u1 (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 #s(literal 1/2 binary32) (PI.f32))))) (sqrt.f32 u1)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (* (PI) 1/2)))) (fma.f32 (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (sqrt.f32 u1) (*.f32 (pow.f32 u1 #s(literal 2 binary32)) (fma.f32 #s(literal 1/2 binary32) (/.f32 (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (sqrt.f32 u1)) (*.f32 u1 (fma.f32 #s(literal 1/2 binary32) (/.f32 (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (sqrt.f32 u1)) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 u1 (*.f32 (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 u1) #s(literal 2 binary32))))))) (sqrt.f32 u1)))))))))
#s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))
#s(approx (sqrt (/ u1 (- 1 u1))) (+.f32 (sqrt.f32 u1) (*.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 u1 #s(literal 2 binary32)) (sqrt.f32 u1)))))
#s(approx (sqrt (/ u1 (- 1 u1))) (+.f32 (sqrt.f32 u1) (*.f32 (pow.f32 u1 #s(literal 2 binary32)) (fma.f32 #s(literal 1/2 binary32) (/.f32 u1 (sqrt.f32 u1)) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)))))))
#s(approx (sqrt (/ u1 (- 1 u1))) (+.f32 (sqrt.f32 u1) (*.f32 (pow.f32 u1 #s(literal 2 binary32)) (fma.f32 u1 (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 u1) #s(literal 2 binary32)))))) (sqrt.f32 u1)) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)))))))
#s(approx (/ u1 (- 1 u1)) u1)
#s(approx (/ u1 (- 1 u1)) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))
#s(approx (/ u1 (- 1 u1)) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))
#s(approx (/ u1 (- 1 u1)) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))))
#s(approx (- 1 u1) #s(literal 1 binary32))
#s(approx (- 1 u1) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (pow.f32 u1 #s(literal 2 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 u1)) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1) (*.f32 (pow.f32 u1 #s(literal 2 binary32)) (fma.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 u1 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 u1)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1) (*.f32 (pow.f32 u1 #s(literal 2 binary32)) (fma.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)) (*.f32 u1 (fma.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 u1 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 u1) #s(literal 2 binary32))))))) (sqrt.f32 u1)))))))))
#s(approx (+ 1 u1) (+.f32 #s(literal 1 binary32) u1))
#s(approx (- (/ 1 u1) 1) (/.f32 #s(literal 1 binary32) u1))
#s(approx (- (/ 1 u1) 1) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u1)) u1))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (* (PI) 1/2)))) (*.f32 (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (* (PI) 1/2)))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (*.f32 u1 (sqrt.f32 #s(literal -1 binary32)))) (*.f32 (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (sqrt.f32 #s(literal -1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (* (PI) 1/2)))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (*.f32 u1 (sqrt.f32 #s(literal -1 binary32)))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32)))))) (*.f32 (pow.f32 u1 #s(literal 2 binary32)) (sqrt.f32 #s(literal -1 binary32)))) (*.f32 (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (* (PI) 1/2)))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (*.f32 u1 (sqrt.f32 #s(literal -1 binary32)))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32)))))) (*.f32 (pow.f32 u1 #s(literal 2 binary32)) (sqrt.f32 #s(literal -1 binary32)))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32))))) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32)))))) (*.f32 (pow.f32 u1 #s(literal 3 binary32)) (sqrt.f32 #s(literal -1 binary32)))) (*.f32 (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (sqrt.f32 #s(literal -1 binary32)))))))
#s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 #s(literal -1 binary32)))
#s(approx (sqrt (/ u1 (- 1 u1))) (-.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 (sqrt.f32 #s(literal -1 binary32)))))))
#s(approx (sqrt (/ u1 (- 1 u1))) (-.f32 (+.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32))))) (*.f32 (pow.f32 u1 #s(literal 2 binary32)) (sqrt.f32 #s(literal -1 binary32)))))) (/.f32 #s(literal 1/2 binary32) (*.f32 u1 (sqrt.f32 #s(literal -1 binary32))))))
#s(approx (sqrt (/ u1 (- 1 u1))) (-.f32 (+.f32 (sqrt.f32 #s(literal -1 binary32)) (fma.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32))))) (*.f32 (pow.f32 u1 #s(literal 2 binary32)) (sqrt.f32 #s(literal -1 binary32)))) (*.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32))))) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32))))) (*.f32 (pow.f32 u1 #s(literal 3 binary32)) (sqrt.f32 #s(literal -1 binary32))))))) (/.f32 #s(literal 1/2 binary32) (*.f32 u1 (sqrt.f32 #s(literal -1 binary32))))))
#s(approx (/ u1 (- 1 u1)) #s(literal -1 binary32))
#s(approx (/ u1 (- 1 u1)) (*.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1))))
#s(approx (/ u1 (- 1 u1)) (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) u1)) #s(literal 1 binary32)))
#s(approx (/ u1 (- 1 u1)) (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) (pow.f32 u1 #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1))))
#s(approx (- 1 u1) (*.f32 #s(literal -1 binary32) u1))
#s(approx (- 1 u1) (*.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 u1 (sqrt.f32 #s(literal -1 binary32)))) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 u1 (sqrt.f32 #s(literal -1 binary32)))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32)))))) (*.f32 (pow.f32 u1 #s(literal 2 binary32)) (sqrt.f32 #s(literal -1 binary32)))) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 u1 (sqrt.f32 #s(literal -1 binary32)))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32)))))) (*.f32 (pow.f32 u1 #s(literal 2 binary32)) (sqrt.f32 #s(literal -1 binary32)))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32))))) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32)))))) (*.f32 (pow.f32 u1 #s(literal 3 binary32)) (sqrt.f32 #s(literal -1 binary32)))) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32)))))))
#s(approx (* u1 (+ 1 u1)) (pow.f32 u1 #s(literal 2 binary32)))
#s(approx (* u1 (+ 1 u1)) (*.f32 (pow.f32 u1 #s(literal 2 binary32)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1))))
#s(approx (+ 1 u1) (*.f32 u1 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1))))
#s(approx (- (/ 1 u1) 1) (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (* (PI) 1/2)))) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32)))))) (*.f32 u1 (sqrt.f32 #s(literal -1 binary32)))))) u1) (*.f32 (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (sqrt.f32 #s(literal -1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (* (PI) 1/2)))) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32)))))) (sqrt.f32 #s(literal -1 binary32))) (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32))))) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32)))))) (*.f32 u1 (sqrt.f32 #s(literal -1 binary32)))))) u1) (*.f32 #s(literal 1/2 binary32) (/.f32 (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))))) u1) (*.f32 (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (sqrt.f32 #s(literal -1 binary32)))))
#s(approx (sqrt (/ u1 (- 1 u1))) (+.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32))))) (*.f32 u1 (sqrt.f32 #s(literal -1 binary32)))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32))))) u1))))
#s(approx (sqrt (/ u1 (- 1 u1))) (+.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32))))) (sqrt.f32 #s(literal -1 binary32))) (*.f32 #s(literal -1/2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32))))) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32))))) (*.f32 u1 (sqrt.f32 #s(literal -1 binary32)))))) u1) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32))))) u1))))
#s(approx (/ u1 (- 1 u1)) (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 2 binary32))))) u1)) #s(literal 1 binary32)))
#s(approx (- 1 u1) (*.f32 #s(literal -1 binary32) (*.f32 u1 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32))) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32)))))) (*.f32 u1 (sqrt.f32 #s(literal -1 binary32)))))) u1) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32)))))) (sqrt.f32 #s(literal -1 binary32))) (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32))))) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32)))))) (*.f32 u1 (sqrt.f32 #s(literal -1 binary32)))))) u1) (*.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32))))) u1) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (* (PI) 1/2)))) (*.f32 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (* (PI) 1/2)))) (fma.f32 #s(literal -314159265359/50000000000 binary32) (*.f32 u2 (*.f32 (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (* (PI) 1/2)))) (fma.f32 u2 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 (*.f32 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 #s(literal -314159265359/50000000000 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))) (*.f32 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (* (PI) 1/2)))) (fma.f32 u2 (fma.f32 #s(literal -314159265359/50000000000 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 u2 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 (*.f32 (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))))) (*.f32 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
#s(approx (sin (+ (* -314159265359/50000000000 u2) (* (PI) 1/2))) (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))))
#s(approx (sin (+ (* -314159265359/50000000000 u2) (* (PI) 1/2))) (+.f32 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (*.f32 #s(literal -314159265359/50000000000 binary32) (*.f32 u2 (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))
#s(approx (sin (+ (* -314159265359/50000000000 u2) (* (PI) 1/2))) (+.f32 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (*.f32 u2 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (*.f32 #s(literal -314159265359/50000000000 binary32) (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))))))))
#s(approx (sin (+ (* -314159265359/50000000000 u2) (* (PI) 1/2))) (+.f32 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (*.f32 u2 (fma.f32 #s(literal -314159265359/50000000000 binary32) (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (*.f32 u2 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (*.f32 #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))))))
#s(approx (+ (* -314159265359/50000000000 u2) (* (PI) 1/2)) (*.f32 #s(literal 1/2 binary32) (PI.f32)))
#s(approx (+ (* -314159265359/50000000000 u2) (* (PI) 1/2)) (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 #s(literal 1/2 binary32) (PI.f32))))
#s(approx u2 u2)
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (+.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (pow.f32 u2 #s(literal 2 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (+.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (pow.f32 u2 #s(literal 2 binary32)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 (pow.f32 u2 #s(literal 2 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (+.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (pow.f32 u2 #s(literal 2 binary32)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (pow.f32 u2 #s(literal 2 binary32)) (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 (pow.f32 u2 #s(literal 2 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))))))
#s(approx (cos (* 314159265359/50000000000 u2)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (pow.f32 u2 #s(literal 2 binary32)))))
#s(approx (cos (* 314159265359/50000000000 u2)) (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 u2 #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 2 binary32))) #s(literal 98696044010906577398881/5000000000000000000000 binary32)))))
#s(approx (cos (* 314159265359/50000000000 u2)) (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 u2 #s(literal 2 binary32)) (-.f32 (*.f32 (pow.f32 u2 #s(literal 2 binary32)) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 2 binary32))))) #s(literal 98696044010906577398881/5000000000000000000000 binary32)))))
#s(approx (* 314159265359/50000000000 u2) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
#s(approx (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (pow.f32 u2 #s(literal 2 binary32))))
#s(approx (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)) (*.f32 (pow.f32 u2 #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 2 binary32))) #s(literal 98696044010906577398881/5000000000000000000000 binary32))))
#s(approx (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)) (*.f32 (pow.f32 u2 #s(literal 2 binary32)) (-.f32 (*.f32 (pow.f32 u2 #s(literal 2 binary32)) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 2 binary32))))) #s(literal 98696044010906577398881/5000000000000000000000 binary32))))
#s(approx (pow u2 2) (pow.f32 u2 #s(literal 2 binary32)))
#s(approx (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000) #s(literal -98696044010906577398881/5000000000000000000000 binary32))
#s(approx (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000) (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 2 binary32))) #s(literal 98696044010906577398881/5000000000000000000000 binary32)))
#s(approx (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000) (-.f32 (*.f32 (pow.f32 u2 #s(literal 2 binary32)) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 2 binary32))))) #s(literal 98696044010906577398881/5000000000000000000000 binary32)))
#s(approx (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 2 binary32))))
#s(approx (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) (*.f32 (pow.f32 u2 #s(literal 2 binary32)) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 2 binary32))))))
#s(approx (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))
#s(approx (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 2 binary32)))))
#s(approx (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)) (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 2 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (* (PI) 1/2)))) (*.f32 (sin.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (sin (+ (* -314159265359/50000000000 u2) (* (PI) 1/2))) (sin.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
#s(approx (+ (* -314159265359/50000000000 u2) (* (PI) 1/2)) (*.f32 #s(literal -314159265359/50000000000 binary32) u2))
#s(approx (+ (* -314159265359/50000000000 u2) (* (PI) 1/2)) (*.f32 u2 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (PI.f32) u2)) #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (cos (* 314159265359/50000000000 u2)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))) (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 6 binary32))))
#s(approx (+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))) (*.f32 (pow.f32 u2 #s(literal 6 binary32)) (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 u2 #s(literal 2 binary32)))) #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))
#s(approx (+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))) (*.f32 (pow.f32 u2 #s(literal 6 binary32)) (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 u2 #s(literal 2 binary32)))) (+.f32 #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (pow.f32 u2 #s(literal 4 binary32)))))))
#s(approx (+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))) (*.f32 (pow.f32 u2 #s(literal 6 binary32)) (-.f32 (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 u2 #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (pow.f32 u2 #s(literal 6 binary32)))) (+.f32 #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (pow.f32 u2 #s(literal 4 binary32)))))))
#s(approx (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000) (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 4 binary32))))
#s(approx (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000) (*.f32 (pow.f32 u2 #s(literal 4 binary32)) (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 u2 #s(literal 2 binary32)))) #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))
#s(approx (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000) (*.f32 (pow.f32 u2 #s(literal 4 binary32)) (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 u2 #s(literal 2 binary32)))) (+.f32 #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (pow.f32 u2 #s(literal 4 binary32)))))))
#s(approx (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))) (*.f32 (pow.f32 u2 #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 u2 #s(literal 2 binary32)))) #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (* (PI) 1/2)))) (*.f32 (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (sin (+ (* -314159265359/50000000000 u2) (* (PI) 1/2))) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 #s(literal 1/2 binary32) (PI.f32)))))
#s(approx (+ (* -314159265359/50000000000 u2) (* (PI) 1/2)) (*.f32 #s(literal -1 binary32) (*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 #s(literal -1/2 binary32) (/.f32 (PI.f32) u2))))))
Calls

9 calls:

TimeVariablePointExpression
4.0ms
u2
@-inf
((* (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (* (PI) 1/2)))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) u1 (- 1 u1) 1 (sin (+ (* -314159265359/50000000000 u2) (* (PI) 1/2))) (+ (* -314159265359/50000000000 u2) (* (PI) 1/2)) -314159265359/50000000000 u2 (* (PI) 1/2) (PI) 1/2 (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (* u1 (+ 1 u1)) (+ 1 u1) (cos (* 314159265359/50000000000 u2)) (* 314159265359/50000000000 u2) 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (* u1 (- (/ 1 u1) 1)) (- (/ 1 u1) 1) (/ 1 u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (cos (* 314159265359/50000000000 u2)) (+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))) (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)) (pow u2 2) 2 (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000) (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 98696044010906577398881/5000000000000000000000)
4.0ms
u2
@inf
((* (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (* (PI) 1/2)))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) u1 (- 1 u1) 1 (sin (+ (* -314159265359/50000000000 u2) (* (PI) 1/2))) (+ (* -314159265359/50000000000 u2) (* (PI) 1/2)) -314159265359/50000000000 u2 (* (PI) 1/2) (PI) 1/2 (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (* u1 (+ 1 u1)) (+ 1 u1) (cos (* 314159265359/50000000000 u2)) (* 314159265359/50000000000 u2) 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (* u1 (- (/ 1 u1) 1)) (- (/ 1 u1) 1) (/ 1 u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (cos (* 314159265359/50000000000 u2)) (+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))) (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)) (pow u2 2) 2 (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000) (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 98696044010906577398881/5000000000000000000000)
3.0ms
u1
@inf
((* (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (* (PI) 1/2)))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) u1 (- 1 u1) 1 (sin (+ (* -314159265359/50000000000 u2) (* (PI) 1/2))) (+ (* -314159265359/50000000000 u2) (* (PI) 1/2)) -314159265359/50000000000 u2 (* (PI) 1/2) (PI) 1/2 (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (* u1 (+ 1 u1)) (+ 1 u1) (cos (* 314159265359/50000000000 u2)) (* 314159265359/50000000000 u2) 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (* u1 (- (/ 1 u1) 1)) (- (/ 1 u1) 1) (/ 1 u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (cos (* 314159265359/50000000000 u2)) (+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))) (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)) (pow u2 2) 2 (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000) (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 98696044010906577398881/5000000000000000000000)
3.0ms
u2
@0
((* (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (* (PI) 1/2)))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) u1 (- 1 u1) 1 (sin (+ (* -314159265359/50000000000 u2) (* (PI) 1/2))) (+ (* -314159265359/50000000000 u2) (* (PI) 1/2)) -314159265359/50000000000 u2 (* (PI) 1/2) (PI) 1/2 (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (* u1 (+ 1 u1)) (+ 1 u1) (cos (* 314159265359/50000000000 u2)) (* 314159265359/50000000000 u2) 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (* u1 (- (/ 1 u1) 1)) (- (/ 1 u1) 1) (/ 1 u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (cos (* 314159265359/50000000000 u2)) (+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))) (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)) (pow u2 2) 2 (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000) (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 98696044010906577398881/5000000000000000000000)
2.0ms
u1
@-inf
((* (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (* (PI) 1/2)))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) u1 (- 1 u1) 1 (sin (+ (* -314159265359/50000000000 u2) (* (PI) 1/2))) (+ (* -314159265359/50000000000 u2) (* (PI) 1/2)) -314159265359/50000000000 u2 (* (PI) 1/2) (PI) 1/2 (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (* u1 (+ 1 u1)) (+ 1 u1) (cos (* 314159265359/50000000000 u2)) (* 314159265359/50000000000 u2) 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (* u1 (- (/ 1 u1) 1)) (- (/ 1 u1) 1) (/ 1 u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (cos (* 314159265359/50000000000 u2)) (+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))) (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)) (pow u2 2) 2 (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000) (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 98696044010906577398881/5000000000000000000000)

rewrite291.0ms (6.2%)

Memory
31.0MiB live, 212.8MiB allocated; 52ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048330
079333
1298324
22178314
09177295
127679295
Stop Event
1×saturated
1×node-limit
1×iter-limit
Counts
42 → 505
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 (PI.f32) #s(literal 1/2 binary32)))))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
u1
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
(sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 (PI.f32) #s(literal 1/2 binary32))))
(fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 (PI.f32) #s(literal 1/2 binary32)))
#s(literal -314159265359/50000000000 binary32)
u2
(*.f32 (PI.f32) #s(literal 1/2 binary32))
(PI.f32)
#s(literal 1/2 binary32)
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))
#s(approx (/ u1 (- 1 u1)) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))
(*.f32 u1 (+.f32 #s(literal 1 binary32) u1))
(+.f32 #s(literal 1 binary32) u1)
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
#s(literal 314159265359/50000000000 binary32)
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))))))
(/.f32 u1 #s(approx (- 1 u1) (*.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))))
#s(approx (- 1 u1) (*.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))))
(*.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))
(-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) u1)
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 u2 #s(literal 2 binary32)) (-.f32 (*.f32 (pow.f32 u2 #s(literal 2 binary32)) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 2 binary32))))) #s(literal 98696044010906577398881/5000000000000000000000 binary32))))))
#s(approx (cos (* 314159265359/50000000000 u2)) (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 u2 #s(literal 2 binary32)) (-.f32 (*.f32 (pow.f32 u2 #s(literal 2 binary32)) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 2 binary32))))) #s(literal 98696044010906577398881/5000000000000000000000 binary32)))))
(+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 u2 #s(literal 2 binary32)) (-.f32 (*.f32 (pow.f32 u2 #s(literal 2 binary32)) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 2 binary32))))) #s(literal 98696044010906577398881/5000000000000000000000 binary32))))
(*.f32 (pow.f32 u2 #s(literal 2 binary32)) (-.f32 (*.f32 (pow.f32 u2 #s(literal 2 binary32)) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 2 binary32))))) #s(literal 98696044010906577398881/5000000000000000000000 binary32)))
(pow.f32 u2 #s(literal 2 binary32))
#s(literal 2 binary32)
(-.f32 (*.f32 (pow.f32 u2 #s(literal 2 binary32)) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 2 binary32))))) #s(literal 98696044010906577398881/5000000000000000000000 binary32))
(*.f32 (pow.f32 u2 #s(literal 2 binary32)) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 2 binary32)))))
(+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 2 binary32))))
#s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)
(*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 2 binary32)))
#s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)
#s(literal 98696044010906577398881/5000000000000000000000 binary32)
Outputs
(*.f32 (cos.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))))
(fma.f32 (*.f32 (sin.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 0 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 (cos.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(fma.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (sin.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 0 binary32)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (cos.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 1 binary32))))
(+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (sin.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 0 binary32))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (cos.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 1 binary32))))
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 0 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 (*.f32 (cos.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32))
(fabs.f32 (neg.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
(fabs.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(fabs.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) u1)
(*.f32 (neg.f32 u1) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 #s(literal 1 binary32) (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 u1 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))))
(sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (neg.f32 (neg.f32 (neg.f32 u1))) (-.f32 u1 #s(literal 1 binary32)))
(/.f32 (neg.f32 (neg.f32 u1)) (-.f32 #s(literal 1 binary32) u1))
(/.f32 (neg.f32 u1) (-.f32 u1 #s(literal 1 binary32)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
(pow.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32))
(pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1 binary32))
(pow.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 2 binary32))
(fabs.f32 (*.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(fabs.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
(fabs.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(neg.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32))))
u1
(/.f32 (-.f32 #s(literal 16 binary32) (*.f32 #s(literal 8 binary32) (*.f32 u1 #s(literal 2 binary32)))) #s(literal 16 binary32))
(/.f32 (-.f32 #s(literal 16 binary32) (*.f32 #s(literal 8 binary32) (*.f32 #s(literal 2 binary32) u1))) #s(literal 16 binary32))
(/.f32 (-.f32 #s(literal 8 binary32) (*.f32 #s(literal 4 binary32) (*.f32 u1 #s(literal 2 binary32)))) #s(literal 8 binary32))
(/.f32 (-.f32 #s(literal 8 binary32) (*.f32 #s(literal 4 binary32) (*.f32 #s(literal 2 binary32) u1))) #s(literal 8 binary32))
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(fma.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) u2) u2 (*.f32 (*.f32 (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) u2) u2))
(fma.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)))
(fma.f32 (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (*.f32 u2 u2) (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)))
(fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)))
(fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) (*.f32 (*.f32 (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) u2) u2))
(fma.f32 (*.f32 u2 u2) (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)))
(fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) u2) u2))
(fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 (*.f32 (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) u2) u2))
(fma.f32 u2 (*.f32 u2 (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2))) (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)))
(+.f32 (*.f32 (*.f32 (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) u2) u2) (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)))
(+.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (*.f32 (*.f32 (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) u2) u2))
(-.f32 (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal -9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))
(-.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)))
(fma.f32 (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) u2) u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))
(fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))
(fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))
(fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))
(+.f32 (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))
(+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (neg.f32 (*.f32 #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2))))
(+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)))
(neg.f32 (-.f32 (*.f32 #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))
#s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)
(*.f32 (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) u2) u2)
(*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2))
(*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))
(*.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))
#s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)
#s(literal 98696044010906577398881/5000000000000000000000 binary32)

eval79.0ms (1.7%)

Memory
-17.8MiB live, 124.7MiB allocated; 52ms collecting garbage
Compiler

Compiled 6 921 to 3 024 computations (56.3% saved)

prune56.0ms (1.2%)

Memory
-26.6MiB live, 75.1MiB allocated; 16ms collecting garbage
Pruning

43 alts after pruning (40 fresh and 3 done)

PrunedKeptTotal
New62732659
Fresh4812
Picked325
Done011
Total63443677
Accuracy
99.8%
Counts
677 → 43
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶98.9%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (sin.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))) (cos.f32 (*.f32 (neg.f32 (neg.f32 (PI.f32))) #s(literal 1/2 binary32))) (*.f32 (cos.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))) (sin.f32 (*.f32 (neg.f32 (neg.f32 (PI.f32))) #s(literal 1/2 binary32))))))
98.8%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (fma.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 (cbrt.f32 (PI.f32)) #s(literal 1/2 binary32)) (*.f32 u2 #s(literal -314159265359/50000000000 binary32)))))
98.8%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (fma.f32 #s(literal 314159265359/50000000000 binary32) u2 (*.f32 #s(literal 1/2 binary32) (PI.f32)))))
✓99.0%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 (PI.f32) #s(literal 1/2 binary32)))))
✓99.0%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
91.8%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (fma.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
▶91.8%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (fma.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32))))
91.8%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 (*.f32 (*.f32 (fma.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) u2) u2) #s(literal -1 binary32))))
91.8%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2)) (*.f32 u2 u2)))))
91.8%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (+.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) (*.f32 u2 u2) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))))))
91.8%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (+.f32 #s(literal 1 binary32) (*.f32 (fma.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2)))))
87.3%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 u2 #s(literal 2 binary32)) #s(approx (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000) #s(literal -98696044010906577398881/5000000000000000000000 binary32))))))
91.8%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (-.f32 (*.f32 (*.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)))) #s(literal 98696044010906577398881/5000000000000000000000 binary32))))))
56.5%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(approx (+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))) (*.f32 (pow.f32 u2 #s(literal 6 binary32)) (-.f32 (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 u2 #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (pow.f32 u2 #s(literal 6 binary32)))) (+.f32 #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (pow.f32 u2 #s(literal 4 binary32)))))))))
6.5%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(approx (+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))) (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 6 binary32))))))
98.9%
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (+.f32 (*.f32 u1 (/.f32 #s(literal 1 binary32) u1)) (*.f32 u1 #s(literal -1 binary32)))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
87.0%
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))))) #s(approx (cos (* 314159265359/50000000000 u2)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (pow.f32 u2 #s(literal 2 binary32))))))
98.8%
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 u1 (neg.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.9%
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
85.0%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (cos.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))))
84.9%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (-.f32 u1 #s(literal -1 binary32)) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
84.8%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 (PI.f32) #s(literal 1/2 binary32)))))
75.3%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* 314159265359/50000000000 u2)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (pow.f32 u2 #s(literal 2 binary32))))))
84.8%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 u1 (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
84.8%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) #s(approx (* u1 (+ 1 u1)) (*.f32 (pow.f32 u1 #s(literal 2 binary32)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
▶71.8%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 (PI.f32) #s(literal 1/2 binary32)))))
71.9%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
90.7%
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (+.f32 (sqrt.f32 u1) (*.f32 (pow.f32 u1 #s(literal 2 binary32)) (fma.f32 u1 (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 u1) #s(literal 2 binary32)))))) (sqrt.f32 u1)) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))))))) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 (PI.f32) #s(literal 1/2 binary32)))))
90.8%
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (+.f32 (sqrt.f32 u1) (*.f32 (pow.f32 u1 #s(literal 2 binary32)) (fma.f32 u1 (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 u1) #s(literal 2 binary32)))))) (sqrt.f32 u1)) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
87.7%
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (+.f32 (sqrt.f32 u1) (*.f32 (pow.f32 u1 #s(literal 2 binary32)) (fma.f32 #s(literal 1/2 binary32) (/.f32 u1 (sqrt.f32 u1)) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
▶85.3%
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (+.f32 (sqrt.f32 u1) (*.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 u1 #s(literal 2 binary32)) (sqrt.f32 u1))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
87.8%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1) (*.f32 (pow.f32 u1 #s(literal 2 binary32)) (fma.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 u1 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 u1)))))))
90.0%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (+.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (pow.f32 u2 #s(literal 2 binary32)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 (pow.f32 u2 #s(literal 2 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))))))
87.3%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (+.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (pow.f32 u2 #s(literal 2 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))))
✓80.2%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
79.9%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))))))
80.0%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) u1)))
74.9%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))))))
73.4%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))))
70.4%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))
▶61.5%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)))
74.5%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (+.f32 (sqrt.f32 u1) (*.f32 (pow.f32 u1 #s(literal 2 binary32)) (fma.f32 u1 (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 u1) #s(literal 2 binary32)))))) (sqrt.f32 u1)) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))))))))
70.8%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (+.f32 (sqrt.f32 u1) (*.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 u1 #s(literal 2 binary32)) (sqrt.f32 u1))))))
Compiler

Compiled 1 782 to 1 713 computations (3.9% saved)

series52.0ms (1.1%)

Memory
38.2MiB live, 82.0MiB allocated; 8ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06084470
Stop Event
1×iter-limit
Counts
48 → 127
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (sin.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))) (cos.f32 (*.f32 (neg.f32 (neg.f32 (PI.f32))) #s(literal 1/2 binary32))) (*.f32 (cos.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))) (sin.f32 (*.f32 (neg.f32 (neg.f32 (PI.f32))) #s(literal 1/2 binary32))))))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
u1
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
(fma.f32 (sin.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))) (cos.f32 (*.f32 (neg.f32 (neg.f32 (PI.f32))) #s(literal 1/2 binary32))) (*.f32 (cos.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))) (sin.f32 (*.f32 (neg.f32 (neg.f32 (PI.f32))) #s(literal 1/2 binary32)))))
(sin.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32)))
(*.f32 u2 #s(literal -314159265359/50000000000 binary32))
u2
#s(literal -314159265359/50000000000 binary32)
(cos.f32 (*.f32 (neg.f32 (neg.f32 (PI.f32))) #s(literal 1/2 binary32)))
(*.f32 (neg.f32 (neg.f32 (PI.f32))) #s(literal 1/2 binary32))
(neg.f32 (neg.f32 (PI.f32)))
(neg.f32 (PI.f32))
(PI.f32)
#s(literal 1/2 binary32)
(*.f32 (cos.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))) (sin.f32 (*.f32 (neg.f32 (neg.f32 (PI.f32))) #s(literal 1/2 binary32))))
(cos.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32)))
(sin.f32 (*.f32 (neg.f32 (neg.f32 (PI.f32))) #s(literal 1/2 binary32)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)))
(sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1))
#s(approx (/ u1 (- 1 u1)) u1)
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (fma.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32))))
#s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (fma.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32)))
(fma.f32 (*.f32 (fma.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32))
(*.f32 (fma.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) u2)
(fma.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32))
(fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))
#s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)
(*.f32 u2 u2)
#s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)
#s(literal -98696044010906577398881/5000000000000000000000 binary32)
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 (PI.f32) #s(literal 1/2 binary32)))))
(sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 (PI.f32) #s(literal 1/2 binary32))))
(fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 (PI.f32) #s(literal 1/2 binary32)))
(*.f32 (PI.f32) #s(literal 1/2 binary32))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (+.f32 (sqrt.f32 u1) (*.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 u1 #s(literal 2 binary32)) (sqrt.f32 u1))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (sqrt (/ u1 (- 1 u1))) (+.f32 (sqrt.f32 u1) (*.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 u1 #s(literal 2 binary32)) (sqrt.f32 u1)))))
(+.f32 (sqrt.f32 u1) (*.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 u1 #s(literal 2 binary32)) (sqrt.f32 u1))))
(sqrt.f32 u1)
(*.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 u1 #s(literal 2 binary32)) (sqrt.f32 u1)))
(/.f32 (pow.f32 u1 #s(literal 2 binary32)) (sqrt.f32 u1))
(pow.f32 u1 #s(literal 2 binary32))
#s(literal 2 binary32)
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
#s(literal 314159265359/50000000000 binary32)
Outputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (+ (* (sin (* u2 -314159265359/50000000000)) (cos (* (neg (neg (PI))) 1/2))) (* (cos (* u2 -314159265359/50000000000)) (sin (* (neg (neg (PI))) 1/2))))) (*.f32 (sqrt.f32 u1) (fma.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (*.f32 (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (+ (* (sin (* u2 -314159265359/50000000000)) (cos (* (neg (neg (PI))) 1/2))) (* (cos (* u2 -314159265359/50000000000)) (sin (* (neg (neg (PI))) 1/2))))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (pow.f32 u1 #s(literal 2 binary32)) (fma.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (*.f32 (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))) (sqrt.f32 u1)) (*.f32 (sqrt.f32 u1) (fma.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (*.f32 (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (+ (* (sin (* u2 -314159265359/50000000000)) (cos (* (neg (neg (PI))) 1/2))) (* (cos (* u2 -314159265359/50000000000)) (sin (* (neg (neg (PI))) 1/2))))) (fma.f32 (sqrt.f32 u1) (fma.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (*.f32 (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))) (*.f32 (pow.f32 u1 #s(literal 2 binary32)) (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 u1 (fma.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (*.f32 (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))) (sqrt.f32 u1)) (*.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (*.f32 (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))) (sqrt.f32 u1)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (+ (* (sin (* u2 -314159265359/50000000000)) (cos (* (neg (neg (PI))) 1/2))) (* (cos (* u2 -314159265359/50000000000)) (sin (* (neg (neg (PI))) 1/2))))) (fma.f32 (sqrt.f32 u1) (fma.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (*.f32 (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))) (*.f32 (pow.f32 u1 #s(literal 2 binary32)) (fma.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (*.f32 (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))) (sqrt.f32 u1)) (*.f32 u1 (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 u1 (*.f32 (fma.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (*.f32 (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 u1) #s(literal 2 binary32))))))) (sqrt.f32 u1)) (*.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (*.f32 (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))) (sqrt.f32 u1)))))))))
#s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))
#s(approx (sqrt (/ u1 (- 1 u1))) (+.f32 (sqrt.f32 u1) (*.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 u1 #s(literal 2 binary32)) (sqrt.f32 u1)))))
#s(approx (sqrt (/ u1 (- 1 u1))) (+.f32 (sqrt.f32 u1) (*.f32 (pow.f32 u1 #s(literal 2 binary32)) (fma.f32 #s(literal 1/2 binary32) (/.f32 u1 (sqrt.f32 u1)) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)))))))
#s(approx (sqrt (/ u1 (- 1 u1))) (+.f32 (sqrt.f32 u1) (*.f32 (pow.f32 u1 #s(literal 2 binary32)) (fma.f32 u1 (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 u1) #s(literal 2 binary32)))))) (sqrt.f32 u1)) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)))))))
#s(approx (/ u1 (- 1 u1)) u1)
#s(approx (/ u1 (- 1 u1)) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))
#s(approx (/ u1 (- 1 u1)) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))
#s(approx (/ u1 (- 1 u1)) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))))
#s(approx (- 1 u1) #s(literal 1 binary32))
#s(approx (- 1 u1) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (pow.f32 u1 #s(literal 2 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 u1)) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1) (*.f32 (pow.f32 u1 #s(literal 2 binary32)) (fma.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 u1 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 u1)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1) (*.f32 (pow.f32 u1 #s(literal 2 binary32)) (fma.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)) (*.f32 u1 (fma.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 u1 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 u1) #s(literal 2 binary32))))))) (sqrt.f32 u1)))))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (* (PI) 1/2)))) (*.f32 (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (sqrt.f32 u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (* (PI) 1/2)))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (pow.f32 u1 #s(literal 2 binary32)) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 #s(literal 1/2 binary32) (PI.f32))))) (sqrt.f32 u1)) (*.f32 (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (* (PI) 1/2)))) (fma.f32 (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (sqrt.f32 u1) (*.f32 (pow.f32 u1 #s(literal 2 binary32)) (fma.f32 #s(literal 1/2 binary32) (/.f32 (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (sqrt.f32 u1)) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 u1 (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 #s(literal 1/2 binary32) (PI.f32))))) (sqrt.f32 u1)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (* (PI) 1/2)))) (fma.f32 (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (sqrt.f32 u1) (*.f32 (pow.f32 u1 #s(literal 2 binary32)) (fma.f32 #s(literal 1/2 binary32) (/.f32 (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (sqrt.f32 u1)) (*.f32 u1 (fma.f32 #s(literal 1/2 binary32) (/.f32 (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (sqrt.f32 u1)) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 u1 (*.f32 (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 u1) #s(literal 2 binary32))))))) (sqrt.f32 u1)))))))))
#s(approx (* 1/2 (/ (pow u1 2) (sqrt u1))) (*.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 u1 #s(literal 2 binary32)) (sqrt.f32 u1))))
#s(approx (/ (pow u1 2) (sqrt u1)) (/.f32 (pow.f32 u1 #s(literal 2 binary32)) (sqrt.f32 u1)))
#s(approx (pow u1 2) (pow.f32 u1 #s(literal 2 binary32)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (+ (* (sin (* u2 -314159265359/50000000000)) (cos (* (neg (neg (PI))) 1/2))) (* (cos (* u2 -314159265359/50000000000)) (sin (* (neg (neg (PI))) 1/2))))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (fma.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (*.f32 (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))))
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#s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 #s(literal -1 binary32)))
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#s(approx (/ u1 (- 1 u1)) (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 2 binary32))))) u1)) #s(literal 1 binary32)))
#s(approx (- 1 u1) (*.f32 #s(literal -1 binary32) (*.f32 u1 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32))) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32)))))) (*.f32 u1 (sqrt.f32 #s(literal -1 binary32)))))) u1) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32)))))) (sqrt.f32 #s(literal -1 binary32))) (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32))))) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32)))))) (*.f32 u1 (sqrt.f32 #s(literal -1 binary32)))))) u1) (*.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32))))) u1) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (* (PI) 1/2)))) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32)))))) (*.f32 u1 (sqrt.f32 #s(literal -1 binary32)))))) u1) (*.f32 (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (sqrt.f32 #s(literal -1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (* (PI) 1/2)))) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32)))))) (sqrt.f32 #s(literal -1 binary32))) (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32))))) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32)))))) (*.f32 u1 (sqrt.f32 #s(literal -1 binary32)))))) u1) (*.f32 #s(literal 1/2 binary32) (/.f32 (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))))) u1) (*.f32 (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (sqrt.f32 #s(literal -1 binary32)))))
#s(approx (+ (sqrt u1) (* 1/2 (/ (pow u1 2) (sqrt u1)))) (*.f32 #s(literal -1 binary32) (*.f32 u1 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))))))
#s(approx (sqrt u1) (*.f32 #s(literal -1 binary32) (*.f32 u1 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))))
#s(approx (* 1/2 (/ (pow u1 2) (sqrt u1))) (*.f32 #s(literal -1/2 binary32) (/.f32 u1 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))))
#s(approx (/ (pow u1 2) (sqrt u1)) (*.f32 #s(literal -1 binary32) (/.f32 u1 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (+ (* (sin (* u2 -314159265359/50000000000)) (cos (* (neg (neg (PI))) 1/2))) (* (cos (* u2 -314159265359/50000000000)) (sin (* (neg (neg (PI))) 1/2))))) (*.f32 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (+ (* (sin (* u2 -314159265359/50000000000)) (cos (* (neg (neg (PI))) 1/2))) (* (cos (* u2 -314159265359/50000000000)) (sin (* (neg (neg (PI))) 1/2))))) (fma.f32 #s(literal -314159265359/50000000000 binary32) (*.f32 u2 (*.f32 (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (+ (* (sin (* u2 -314159265359/50000000000)) (cos (* (neg (neg (PI))) 1/2))) (* (cos (* u2 -314159265359/50000000000)) (sin (* (neg (neg (PI))) 1/2))))) (fma.f32 u2 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 (*.f32 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 #s(literal -314159265359/50000000000 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))) (*.f32 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (+ (* (sin (* u2 -314159265359/50000000000)) (cos (* (neg (neg (PI))) 1/2))) (* (cos (* u2 -314159265359/50000000000)) (sin (* (neg (neg (PI))) 1/2))))) (fma.f32 u2 (fma.f32 #s(literal -314159265359/50000000000 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 u2 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 (*.f32 (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))))) (*.f32 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
#s(approx (+ (* (sin (* u2 -314159265359/50000000000)) (cos (* (neg (neg (PI))) 1/2))) (* (cos (* u2 -314159265359/50000000000)) (sin (* (neg (neg (PI))) 1/2)))) (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))))
#s(approx (+ (* (sin (* u2 -314159265359/50000000000)) (cos (* (neg (neg (PI))) 1/2))) (* (cos (* u2 -314159265359/50000000000)) (sin (* (neg (neg (PI))) 1/2)))) (+.f32 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (*.f32 #s(literal -314159265359/50000000000 binary32) (*.f32 u2 (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))
#s(approx (+ (* (sin (* u2 -314159265359/50000000000)) (cos (* (neg (neg (PI))) 1/2))) (* (cos (* u2 -314159265359/50000000000)) (sin (* (neg (neg (PI))) 1/2)))) (+.f32 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (*.f32 u2 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (*.f32 #s(literal -314159265359/50000000000 binary32) (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))))))))
#s(approx (+ (* (sin (* u2 -314159265359/50000000000)) (cos (* (neg (neg (PI))) 1/2))) (* (cos (* u2 -314159265359/50000000000)) (sin (* (neg (neg (PI))) 1/2)))) (+.f32 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (*.f32 u2 (fma.f32 #s(literal -314159265359/50000000000 binary32) (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (*.f32 u2 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (*.f32 #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))))))
#s(approx (sin (* u2 -314159265359/50000000000)) (*.f32 #s(literal -314159265359/50000000000 binary32) u2))
#s(approx (sin (* u2 -314159265359/50000000000)) (*.f32 u2 (-.f32 (*.f32 #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 2 binary32))) #s(literal 314159265359/50000000000 binary32))))
#s(approx (sin (* u2 -314159265359/50000000000)) (*.f32 u2 (-.f32 (*.f32 (pow.f32 u2 #s(literal 2 binary32)) (+.f32 #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 #s(literal -3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 2 binary32))))) #s(literal 314159265359/50000000000 binary32))))
#s(approx (sin (* u2 -314159265359/50000000000)) (*.f32 u2 (-.f32 (*.f32 (pow.f32 u2 #s(literal 2 binary32)) (+.f32 #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 (pow.f32 u2 #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 2 binary32))) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))))) #s(literal 314159265359/50000000000 binary32))))
#s(approx u2 u2)
#s(approx (* (cos (* u2 -314159265359/50000000000)) (sin (* (neg (neg (PI))) 1/2))) (+.f32 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (pow.f32 u2 #s(literal 2 binary32)) (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))
#s(approx (* (cos (* u2 -314159265359/50000000000)) (sin (* (neg (neg (PI))) 1/2))) (+.f32 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (*.f32 (pow.f32 u2 #s(literal 2 binary32)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 (pow.f32 u2 #s(literal 2 binary32)) (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))))
#s(approx (* (cos (* u2 -314159265359/50000000000)) (sin (* (neg (neg (PI))) 1/2))) (+.f32 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (*.f32 (pow.f32 u2 #s(literal 2 binary32)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (*.f32 (pow.f32 u2 #s(literal 2 binary32)) (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 (pow.f32 u2 #s(literal 2 binary32)) (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))))))))))
#s(approx (cos (* u2 -314159265359/50000000000)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (pow.f32 u2 #s(literal 2 binary32)))))
#s(approx (cos (* u2 -314159265359/50000000000)) (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 u2 #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 2 binary32))) #s(literal 98696044010906577398881/5000000000000000000000 binary32)))))
#s(approx (cos (* u2 -314159265359/50000000000)) (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 u2 #s(literal 2 binary32)) (-.f32 (*.f32 (pow.f32 u2 #s(literal 2 binary32)) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 2 binary32))))) #s(literal 98696044010906577398881/5000000000000000000000 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (+.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (pow.f32 u2 #s(literal 2 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (+.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (pow.f32 u2 #s(literal 2 binary32)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 (pow.f32 u2 #s(literal 2 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (+.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (pow.f32 u2 #s(literal 2 binary32)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (pow.f32 u2 #s(literal 2 binary32)) (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 (pow.f32 u2 #s(literal 2 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))))))
#s(approx (* (+ (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (* u2 u2)) -98696044010906577398881/5000000000000000000000) u2) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2))
#s(approx (* (+ (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (* u2 u2)) -98696044010906577398881/5000000000000000000000) u2) (*.f32 u2 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 2 binary32))) #s(literal 98696044010906577398881/5000000000000000000000 binary32))))
#s(approx (* (+ (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (* u2 u2)) -98696044010906577398881/5000000000000000000000) u2) (*.f32 u2 (-.f32 (*.f32 (pow.f32 u2 #s(literal 2 binary32)) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 2 binary32))))) #s(literal 98696044010906577398881/5000000000000000000000 binary32))))
#s(approx (+ (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (* u2 u2)) -98696044010906577398881/5000000000000000000000) #s(literal -98696044010906577398881/5000000000000000000000 binary32))
#s(approx (+ (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (* u2 u2)) -98696044010906577398881/5000000000000000000000) (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 2 binary32))) #s(literal 98696044010906577398881/5000000000000000000000 binary32)))
#s(approx (+ (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (* u2 u2)) -98696044010906577398881/5000000000000000000000) (-.f32 (*.f32 (pow.f32 u2 #s(literal 2 binary32)) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 2 binary32))))) #s(literal 98696044010906577398881/5000000000000000000000 binary32)))
#s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))
#s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 2 binary32)))))
#s(approx (* u2 u2) (pow.f32 u2 #s(literal 2 binary32)))
#s(approx (+ (* -314159265359/50000000000 u2) (* (PI) 1/2)) (*.f32 #s(literal 1/2 binary32) (PI.f32)))
#s(approx (+ (* -314159265359/50000000000 u2) (* (PI) 1/2)) (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 #s(literal 1/2 binary32) (PI.f32))))
#s(approx (* 314159265359/50000000000 u2) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (+ (* (sin (* u2 -314159265359/50000000000)) (cos (* (neg (neg (PI))) 1/2))) (* (cos (* u2 -314159265359/50000000000)) (sin (* (neg (neg (PI))) 1/2))))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (*.f32 (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))))
#s(approx (+ (* (sin (* u2 -314159265359/50000000000)) (cos (* (neg (neg (PI))) 1/2))) (* (cos (* u2 -314159265359/50000000000)) (sin (* (neg (neg (PI))) 1/2)))) (fma.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (*.f32 (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))))
#s(approx (sin (* u2 -314159265359/50000000000)) (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))
#s(approx (* (cos (* u2 -314159265359/50000000000)) (sin (* (neg (neg (PI))) 1/2))) (*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))))
#s(approx (cos (* u2 -314159265359/50000000000)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (cos (* 314159265359/50000000000 u2)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (+ (* (* (+ (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (* u2 u2)) -98696044010906577398881/5000000000000000000000) u2) u2) 1) (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 6 binary32))))
#s(approx (+ (* (* (+ (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (* u2 u2)) -98696044010906577398881/5000000000000000000000) u2) u2) 1) (*.f32 (pow.f32 u2 #s(literal 6 binary32)) (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 u2 #s(literal 2 binary32)))) #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))
#s(approx (+ (* (* (+ (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (* u2 u2)) -98696044010906577398881/5000000000000000000000) u2) u2) 1) (*.f32 (pow.f32 u2 #s(literal 6 binary32)) (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 u2 #s(literal 2 binary32)))) (+.f32 #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (pow.f32 u2 #s(literal 4 binary32)))))))
#s(approx (+ (* (* (+ (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (* u2 u2)) -98696044010906577398881/5000000000000000000000) u2) u2) 1) (*.f32 (pow.f32 u2 #s(literal 6 binary32)) (-.f32 (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 u2 #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (pow.f32 u2 #s(literal 6 binary32)))) (+.f32 #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (pow.f32 u2 #s(literal 4 binary32)))))))
#s(approx (* (+ (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (* u2 u2)) -98696044010906577398881/5000000000000000000000) u2) (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 5 binary32))))
#s(approx (* (+ (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (* u2 u2)) -98696044010906577398881/5000000000000000000000) u2) (*.f32 (pow.f32 u2 #s(literal 5 binary32)) (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 u2 #s(literal 2 binary32)))) #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))
#s(approx (* (+ (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (* u2 u2)) -98696044010906577398881/5000000000000000000000) u2) (*.f32 (pow.f32 u2 #s(literal 5 binary32)) (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 u2 #s(literal 2 binary32)))) (+.f32 #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (pow.f32 u2 #s(literal 4 binary32)))))))
#s(approx (+ (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (* u2 u2)) -98696044010906577398881/5000000000000000000000) (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 4 binary32))))
#s(approx (+ (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (* u2 u2)) -98696044010906577398881/5000000000000000000000) (*.f32 (pow.f32 u2 #s(literal 4 binary32)) (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 u2 #s(literal 2 binary32)))) #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))
#s(approx (+ (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (* u2 u2)) -98696044010906577398881/5000000000000000000000) (*.f32 (pow.f32 u2 #s(literal 4 binary32)) (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 u2 #s(literal 2 binary32)))) (+.f32 #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (pow.f32 u2 #s(literal 4 binary32)))))))
#s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 2 binary32))))
#s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (*.f32 (pow.f32 u2 #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 u2 #s(literal 2 binary32)))) #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (* (PI) 1/2)))) (*.f32 (sin.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (sin (+ (* -314159265359/50000000000 u2) (* (PI) 1/2))) (sin.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
#s(approx (+ (* -314159265359/50000000000 u2) (* (PI) 1/2)) (*.f32 u2 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (PI.f32) u2)) #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (+ (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (* u2 u2)) -98696044010906577398881/5000000000000000000000) u2) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 u2 #s(literal 5 binary32)) (-.f32 #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 u2 #s(literal 2 binary32))))))))
#s(approx (* (+ (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (* u2 u2)) -98696044010906577398881/5000000000000000000000) u2) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 u2 #s(literal 5 binary32)) (-.f32 (+.f32 #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (pow.f32 u2 #s(literal 4 binary32)))) (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 u2 #s(literal 2 binary32))))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (* (PI) 1/2)))) (*.f32 (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (sin (+ (* -314159265359/50000000000 u2) (* (PI) 1/2))) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 #s(literal 1/2 binary32) (PI.f32)))))
#s(approx (+ (* -314159265359/50000000000 u2) (* (PI) 1/2)) (*.f32 #s(literal -1 binary32) (*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 #s(literal -1/2 binary32) (/.f32 (PI.f32) u2))))))
Calls

9 calls:

TimeVariablePointExpression
9.0ms
u2
@-inf
((* (sqrt (/ u1 (- 1 u1))) (+ (* (sin (* u2 -314159265359/50000000000)) (cos (* (neg (neg (PI))) 1/2))) (* (cos (* u2 -314159265359/50000000000)) (sin (* (neg (neg (PI))) 1/2))))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) u1 (- 1 u1) 1 (+ (* (sin (* u2 -314159265359/50000000000)) (cos (* (neg (neg (PI))) 1/2))) (* (cos (* u2 -314159265359/50000000000)) (sin (* (neg (neg (PI))) 1/2)))) (sin (* u2 -314159265359/50000000000)) (* u2 -314159265359/50000000000) u2 -314159265359/50000000000 (cos (* (neg (neg (PI))) 1/2)) (* (neg (neg (PI))) 1/2) (neg (neg (PI))) (neg (PI)) (PI) 1/2 (* (cos (* u2 -314159265359/50000000000)) (sin (* (neg (neg (PI))) 1/2))) (cos (* u2 -314159265359/50000000000)) (sin (* (neg (neg (PI))) 1/2)) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (cos (* 314159265359/50000000000 u2)) (+ (* (* (+ (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (* u2 u2)) -98696044010906577398881/5000000000000000000000) u2) u2) 1) (* (+ (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (* u2 u2)) -98696044010906577398881/5000000000000000000000) u2) (+ (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (* u2 u2)) -98696044010906577398881/5000000000000000000000) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (* (PI) 1/2)))) (sin (+ (* -314159265359/50000000000 u2) (* (PI) 1/2))) (+ (* -314159265359/50000000000 u2) (* (PI) 1/2)) (* (PI) 1/2) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (+ (sqrt u1) (* 1/2 (/ (pow u1 2) (sqrt u1)))) (sqrt u1) (* 1/2 (/ (pow u1 2) (sqrt u1))) (/ (pow u1 2) (sqrt u1)) (pow u1 2) 2 (cos (* 314159265359/50000000000 u2)) (* 314159265359/50000000000 u2) 314159265359/50000000000)
6.0ms
u1
@inf
((* (sqrt (/ u1 (- 1 u1))) (+ (* (sin (* u2 -314159265359/50000000000)) (cos (* (neg (neg (PI))) 1/2))) (* (cos (* u2 -314159265359/50000000000)) (sin (* (neg (neg (PI))) 1/2))))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) u1 (- 1 u1) 1 (+ (* (sin (* u2 -314159265359/50000000000)) (cos (* (neg (neg (PI))) 1/2))) (* (cos (* u2 -314159265359/50000000000)) (sin (* (neg (neg (PI))) 1/2)))) (sin (* u2 -314159265359/50000000000)) (* u2 -314159265359/50000000000) u2 -314159265359/50000000000 (cos (* (neg (neg (PI))) 1/2)) (* (neg (neg (PI))) 1/2) (neg (neg (PI))) (neg (PI)) (PI) 1/2 (* (cos (* u2 -314159265359/50000000000)) (sin (* (neg (neg (PI))) 1/2))) (cos (* u2 -314159265359/50000000000)) (sin (* (neg (neg (PI))) 1/2)) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (cos (* 314159265359/50000000000 u2)) (+ (* (* (+ (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (* u2 u2)) -98696044010906577398881/5000000000000000000000) u2) u2) 1) (* (+ (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (* u2 u2)) -98696044010906577398881/5000000000000000000000) u2) (+ (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (* u2 u2)) -98696044010906577398881/5000000000000000000000) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (* (PI) 1/2)))) (sin (+ (* -314159265359/50000000000 u2) (* (PI) 1/2))) (+ (* -314159265359/50000000000 u2) (* (PI) 1/2)) (* (PI) 1/2) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (+ (sqrt u1) (* 1/2 (/ (pow u1 2) (sqrt u1)))) (sqrt u1) (* 1/2 (/ (pow u1 2) (sqrt u1))) (/ (pow u1 2) (sqrt u1)) (pow u1 2) 2 (cos (* 314159265359/50000000000 u2)) (* 314159265359/50000000000 u2) 314159265359/50000000000)
4.0ms
u2
@inf
((* (sqrt (/ u1 (- 1 u1))) (+ (* (sin (* u2 -314159265359/50000000000)) (cos (* (neg (neg (PI))) 1/2))) (* (cos (* u2 -314159265359/50000000000)) (sin (* (neg (neg (PI))) 1/2))))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) u1 (- 1 u1) 1 (+ (* (sin (* u2 -314159265359/50000000000)) (cos (* (neg (neg (PI))) 1/2))) (* (cos (* u2 -314159265359/50000000000)) (sin (* (neg (neg (PI))) 1/2)))) (sin (* u2 -314159265359/50000000000)) (* u2 -314159265359/50000000000) u2 -314159265359/50000000000 (cos (* (neg (neg (PI))) 1/2)) (* (neg (neg (PI))) 1/2) (neg (neg (PI))) (neg (PI)) (PI) 1/2 (* (cos (* u2 -314159265359/50000000000)) (sin (* (neg (neg (PI))) 1/2))) (cos (* u2 -314159265359/50000000000)) (sin (* (neg (neg (PI))) 1/2)) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (cos (* 314159265359/50000000000 u2)) (+ (* (* (+ (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (* u2 u2)) -98696044010906577398881/5000000000000000000000) u2) u2) 1) (* (+ (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (* u2 u2)) -98696044010906577398881/5000000000000000000000) u2) (+ (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (* u2 u2)) -98696044010906577398881/5000000000000000000000) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (* (PI) 1/2)))) (sin (+ (* -314159265359/50000000000 u2) (* (PI) 1/2))) (+ (* -314159265359/50000000000 u2) (* (PI) 1/2)) (* (PI) 1/2) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (+ (sqrt u1) (* 1/2 (/ (pow u1 2) (sqrt u1)))) (sqrt u1) (* 1/2 (/ (pow u1 2) (sqrt u1))) (/ (pow u1 2) (sqrt u1)) (pow u1 2) 2 (cos (* 314159265359/50000000000 u2)) (* 314159265359/50000000000 u2) 314159265359/50000000000)
3.0ms
u1
@-inf
((* (sqrt (/ u1 (- 1 u1))) (+ (* (sin (* u2 -314159265359/50000000000)) (cos (* (neg (neg (PI))) 1/2))) (* (cos (* u2 -314159265359/50000000000)) (sin (* (neg (neg (PI))) 1/2))))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) u1 (- 1 u1) 1 (+ (* (sin (* u2 -314159265359/50000000000)) (cos (* (neg (neg (PI))) 1/2))) (* (cos (* u2 -314159265359/50000000000)) (sin (* (neg (neg (PI))) 1/2)))) (sin (* u2 -314159265359/50000000000)) (* u2 -314159265359/50000000000) u2 -314159265359/50000000000 (cos (* (neg (neg (PI))) 1/2)) (* (neg (neg (PI))) 1/2) (neg (neg (PI))) (neg (PI)) (PI) 1/2 (* (cos (* u2 -314159265359/50000000000)) (sin (* (neg (neg (PI))) 1/2))) (cos (* u2 -314159265359/50000000000)) (sin (* (neg (neg (PI))) 1/2)) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (cos (* 314159265359/50000000000 u2)) (+ (* (* (+ (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (* u2 u2)) -98696044010906577398881/5000000000000000000000) u2) u2) 1) (* (+ (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (* u2 u2)) -98696044010906577398881/5000000000000000000000) u2) (+ (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (* u2 u2)) -98696044010906577398881/5000000000000000000000) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (* (PI) 1/2)))) (sin (+ (* -314159265359/50000000000 u2) (* (PI) 1/2))) (+ (* -314159265359/50000000000 u2) (* (PI) 1/2)) (* (PI) 1/2) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (+ (sqrt u1) (* 1/2 (/ (pow u1 2) (sqrt u1)))) (sqrt u1) (* 1/2 (/ (pow u1 2) (sqrt u1))) (/ (pow u1 2) (sqrt u1)) (pow u1 2) 2 (cos (* 314159265359/50000000000 u2)) (* 314159265359/50000000000 u2) 314159265359/50000000000)
3.0ms
u2
@0
((* (sqrt (/ u1 (- 1 u1))) (+ (* (sin (* u2 -314159265359/50000000000)) (cos (* (neg (neg (PI))) 1/2))) (* (cos (* u2 -314159265359/50000000000)) (sin (* (neg (neg (PI))) 1/2))))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) u1 (- 1 u1) 1 (+ (* (sin (* u2 -314159265359/50000000000)) (cos (* (neg (neg (PI))) 1/2))) (* (cos (* u2 -314159265359/50000000000)) (sin (* (neg (neg (PI))) 1/2)))) (sin (* u2 -314159265359/50000000000)) (* u2 -314159265359/50000000000) u2 -314159265359/50000000000 (cos (* (neg (neg (PI))) 1/2)) (* (neg (neg (PI))) 1/2) (neg (neg (PI))) (neg (PI)) (PI) 1/2 (* (cos (* u2 -314159265359/50000000000)) (sin (* (neg (neg (PI))) 1/2))) (cos (* u2 -314159265359/50000000000)) (sin (* (neg (neg (PI))) 1/2)) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (cos (* 314159265359/50000000000 u2)) (+ (* (* (+ (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (* u2 u2)) -98696044010906577398881/5000000000000000000000) u2) u2) 1) (* (+ (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (* u2 u2)) -98696044010906577398881/5000000000000000000000) u2) (+ (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (* u2 u2)) -98696044010906577398881/5000000000000000000000) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (* (PI) 1/2)))) (sin (+ (* -314159265359/50000000000 u2) (* (PI) 1/2))) (+ (* -314159265359/50000000000 u2) (* (PI) 1/2)) (* (PI) 1/2) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (+ (sqrt u1) (* 1/2 (/ (pow u1 2) (sqrt u1)))) (sqrt u1) (* 1/2 (/ (pow u1 2) (sqrt u1))) (/ (pow u1 2) (sqrt u1)) (pow u1 2) 2 (cos (* 314159265359/50000000000 u2)) (* 314159265359/50000000000 u2) 314159265359/50000000000)

rewrite197.0ms (4.2%)

Memory
-17.7MiB live, 122.2MiB allocated; 21ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
054363
096317
1368296
02597293
17517293
Stop Event
1×saturated
1×iter-limit
1×node-limit
1×iter-limit
Counts
48 → 393
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (sin.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))) (cos.f32 (*.f32 (neg.f32 (neg.f32 (PI.f32))) #s(literal 1/2 binary32))) (*.f32 (cos.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))) (sin.f32 (*.f32 (neg.f32 (neg.f32 (PI.f32))) #s(literal 1/2 binary32))))))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
u1
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
(fma.f32 (sin.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))) (cos.f32 (*.f32 (neg.f32 (neg.f32 (PI.f32))) #s(literal 1/2 binary32))) (*.f32 (cos.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))) (sin.f32 (*.f32 (neg.f32 (neg.f32 (PI.f32))) #s(literal 1/2 binary32)))))
(sin.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32)))
(*.f32 u2 #s(literal -314159265359/50000000000 binary32))
u2
#s(literal -314159265359/50000000000 binary32)
(cos.f32 (*.f32 (neg.f32 (neg.f32 (PI.f32))) #s(literal 1/2 binary32)))
(*.f32 (neg.f32 (neg.f32 (PI.f32))) #s(literal 1/2 binary32))
(neg.f32 (neg.f32 (PI.f32)))
(neg.f32 (PI.f32))
(PI.f32)
#s(literal 1/2 binary32)
(*.f32 (cos.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))) (sin.f32 (*.f32 (neg.f32 (neg.f32 (PI.f32))) #s(literal 1/2 binary32))))
(cos.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32)))
(sin.f32 (*.f32 (neg.f32 (neg.f32 (PI.f32))) #s(literal 1/2 binary32)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)))
(sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1))
#s(approx (/ u1 (- 1 u1)) u1)
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (fma.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32))))
#s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (fma.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32)))
(fma.f32 (*.f32 (fma.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32))
(*.f32 (fma.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) u2)
(fma.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32))
(fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))
#s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)
(*.f32 u2 u2)
#s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)
#s(literal -98696044010906577398881/5000000000000000000000 binary32)
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 (PI.f32) #s(literal 1/2 binary32)))))
(sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 (PI.f32) #s(literal 1/2 binary32))))
(fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 (PI.f32) #s(literal 1/2 binary32)))
(*.f32 (PI.f32) #s(literal 1/2 binary32))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (+.f32 (sqrt.f32 u1) (*.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 u1 #s(literal 2 binary32)) (sqrt.f32 u1))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (sqrt (/ u1 (- 1 u1))) (+.f32 (sqrt.f32 u1) (*.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 u1 #s(literal 2 binary32)) (sqrt.f32 u1)))))
(+.f32 (sqrt.f32 u1) (*.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 u1 #s(literal 2 binary32)) (sqrt.f32 u1))))
(sqrt.f32 u1)
(*.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 u1 #s(literal 2 binary32)) (sqrt.f32 u1)))
(/.f32 (pow.f32 u1 #s(literal 2 binary32)) (sqrt.f32 u1))
(pow.f32 u1 #s(literal 2 binary32))
#s(literal 2 binary32)
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
#s(literal 314159265359/50000000000 binary32)
Outputs
(*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))
(-.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal -1/2 binary32) (PI.f32)))) (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (*.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))))))
(-.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal -1/2 binary32) (PI.f32)))) (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (*.f32 (neg.f32 (*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(-.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal -1/2 binary32) (PI.f32)))) (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (neg.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))))
(fma.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal -1/2 binary32) (PI.f32)))) (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))
(fma.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (cos.f32 (*.f32 #s(literal -1/2 binary32) (PI.f32))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))
(fma.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal -1/2 binary32) (PI.f32)))) (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))
(fma.f32 (*.f32 (cos.f32 (*.f32 #s(literal -1/2 binary32) (PI.f32))) (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))
(fma.f32 (*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal -1/2 binary32) (PI.f32)))) (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))
(fma.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (*.f32 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal -1/2 binary32) (PI.f32)))) (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))
(fma.f32 (*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal -1/2 binary32) (PI.f32)))) (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))
(fma.f32 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal -1/2 binary32) (PI.f32)))) (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))
(fma.f32 (cos.f32 (*.f32 #s(literal -1/2 binary32) (PI.f32))) (*.f32 (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))
(fma.f32 (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (*.f32 (cos.f32 (*.f32 #s(literal -1/2 binary32) (PI.f32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))
(fma.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (cos.f32 (*.f32 #s(literal -1/2 binary32) (PI.f32))) (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))
(fma.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal -1/2 binary32) (PI.f32)))) (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))
(+.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal -1/2 binary32) (PI.f32)))) (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))
(+.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal -1/2 binary32) (PI.f32)))) (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))
(sqrt.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32))
(fabs.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(fabs.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) u1)
(*.f32 (neg.f32 u1) (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal 1 binary32))))
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#s(literal 2 binary32)
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(fma.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (cos.f32 (*.f32 #s(literal -1/2 binary32) (PI.f32))) (*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))))
(fma.f32 (+.f32 (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 #s(literal -1/2 binary32) (PI.f32)))) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) #s(literal 1/2 binary32) (*.f32 (neg.f32 (neg.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))) (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))))
(fma.f32 (+.f32 (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 #s(literal -1/2 binary32) (PI.f32)))) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) #s(literal 1/2 binary32) (neg.f32 (neg.f32 (*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))
(fma.f32 (+.f32 (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 #s(literal -1/2 binary32) (PI.f32)))) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))))
(fma.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (*.f32 (cos.f32 (*.f32 #s(literal -1/2 binary32) (PI.f32))) (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))
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(cos.f32 (neg.f32 (*.f32 (fabs.f32 u2) #s(literal 314159265359/50000000000 binary32))))
(cos.f32 (fabs.f32 (*.f32 (fabs.f32 u2) #s(literal 314159265359/50000000000 binary32))))
(cos.f32 (*.f32 (fabs.f32 u2) #s(literal 314159265359/50000000000 binary32)))
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(*.f32 (neg.f32 u2) #s(literal -314159265359/50000000000 binary32))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(*.f32 #s(literal -314159265359/50000000000 binary32) (neg.f32 u2))
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(neg.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))
#s(literal 314159265359/50000000000 binary32)

eval70.0ms (1.5%)

Memory
31.2MiB live, 74.6MiB allocated; 5ms collecting garbage
Compiler

Compiled 6 065 to 1 902 computations (68.6% saved)

prune172.0ms (3.7%)

Memory
-18.2MiB live, 72.0MiB allocated; 9ms collecting garbage
Pruning

46 alts after pruning (41 fresh and 5 done)

PrunedKeptTotal
New40520425
Fresh142135
Picked325
Done033
Total42246468
Accuracy
99.8%
Counts
468 → 46
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.8%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (fma.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 (cbrt.f32 (PI.f32)) #s(literal 1/2 binary32)) (*.f32 u2 #s(literal -314159265359/50000000000 binary32)))))
98.8%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (fma.f32 #s(literal 314159265359/50000000000 binary32) u2 (*.f32 #s(literal 1/2 binary32) (PI.f32)))))
✓99.0%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 (PI.f32) #s(literal 1/2 binary32)))))
✓99.0%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
91.8%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (fma.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
91.8%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (fma.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) u2 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2)) u2 #s(literal 1 binary32))))
91.8%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) u2) u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32))))
▶91.8%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (fma.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32))))
90.0%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (fma.f32 #s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32))))
87.3%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 #s(approx (+ (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (* u2 u2)) -98696044010906577398881/5000000000000000000000) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32))))
79.8%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 #s(approx (* (+ (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (* u2 u2)) -98696044010906577398881/5000000000000000000000) u2) (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 5 binary32)))) u2 #s(literal 1 binary32))))
91.8%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2)) (*.f32 u2 u2)))))
91.8%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (+.f32 #s(literal 1 binary32) (*.f32 (fma.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2)))))
56.5%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(approx (+ (* (* (+ (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (* u2 u2)) -98696044010906577398881/5000000000000000000000) u2) u2) 1) (*.f32 (pow.f32 u2 #s(literal 6 binary32)) (-.f32 (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 u2 #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (pow.f32 u2 #s(literal 6 binary32)))) (+.f32 #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (pow.f32 u2 #s(literal 4 binary32)))))))))
6.5%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(approx (+ (* (* (+ (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (* u2 u2)) -98696044010906577398881/5000000000000000000000) u2) u2) 1) (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 6 binary32))))))
▶98.9%
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (+.f32 (*.f32 u1 (/.f32 #s(literal 1 binary32) u1)) (*.f32 u1 #s(literal -1 binary32)))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
91.5%
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (fma.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32))))
87.0%
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))))) #s(approx (cos (* 314159265359/50000000000 u2)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (pow.f32 u2 #s(literal 2 binary32))))))
91.7%
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (fma.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32))))
85.0%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (cos.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))))
84.9%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (-.f32 u1 #s(literal -1 binary32)) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
84.8%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 (PI.f32) #s(literal 1/2 binary32)))))
79.0%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (fma.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32))))
84.8%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 u1 (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
71.8%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) (sin.f32 (fma.f32 (PI.f32) #s(literal 1/2 binary32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))
✓71.8%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 (PI.f32) #s(literal 1/2 binary32)))))
71.9%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
85.3%
(*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 (sqrt.f32 u1) u1) #s(literal 1/2 binary32) (sqrt.f32 u1))))
85.0%
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (/.f32 (+.f32 u1 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32))) (sqrt.f32 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
90.7%
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (+.f32 (sqrt.f32 u1) (*.f32 (pow.f32 u1 #s(literal 2 binary32)) (fma.f32 u1 (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 u1) #s(literal 2 binary32)))))) (sqrt.f32 u1)) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))))))) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 (PI.f32) #s(literal 1/2 binary32)))))
84.2%
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (+.f32 (sqrt.f32 u1) (*.f32 (pow.f32 u1 #s(literal 2 binary32)) (fma.f32 u1 (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 u1) #s(literal 2 binary32)))))) (sqrt.f32 u1)) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))))))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (fma.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32))))
81.5%
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (+.f32 (sqrt.f32 u1) (*.f32 (pow.f32 u1 #s(literal 2 binary32)) (fma.f32 #s(literal 1/2 binary32) (/.f32 u1 (sqrt.f32 u1)) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))))))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (fma.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32))))
67.4%
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (fma.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32))))
▶85.0%
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) #s(approx (+ (sqrt u1) (* 1/2 (/ (pow u1 2) (sqrt u1)))) (*.f32 u1 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
71.9%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (+ (* (sin (* u2 -314159265359/50000000000)) (cos (* (neg (neg (PI))) 1/2))) (* (cos (* u2 -314159265359/50000000000)) (sin (* (neg (neg (PI))) 1/2))))) (*.f32 (sqrt.f32 u1) (fma.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (*.f32 (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))))
87.8%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1) (*.f32 (pow.f32 u1 #s(literal 2 binary32)) (fma.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 u1 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 u1)))))))
90.0%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (+.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (pow.f32 u2 #s(literal 2 binary32)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 (pow.f32 u2 #s(literal 2 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))))))
▶87.3%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (+.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (pow.f32 u2 #s(literal 2 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))))
✓80.2%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
79.9%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))))))
80.0%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) u1)))
74.9%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))))))
73.4%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))))
▶70.4%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))
✓61.5%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)))
74.5%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (+.f32 (sqrt.f32 u1) (*.f32 (pow.f32 u1 #s(literal 2 binary32)) (fma.f32 u1 (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 u1) #s(literal 2 binary32)))))) (sqrt.f32 u1)) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))))))))
Compiler

Compiled 1 987 to 1 922 computations (3.3% saved)

series81.0ms (1.7%)

Memory
-46.6MiB live, 87.5MiB allocated; 100ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05563980
Stop Event
1×iter-limit
Counts
49 → 122
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (+.f32 (*.f32 u1 (/.f32 #s(literal 1 binary32) u1)) (*.f32 u1 #s(literal -1 binary32)))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (+.f32 (*.f32 u1 (/.f32 #s(literal 1 binary32) u1)) (*.f32 u1 #s(literal -1 binary32))))))
(/.f32 u1 #s(approx (- 1 u1) (+.f32 (*.f32 u1 (/.f32 #s(literal 1 binary32) u1)) (*.f32 u1 #s(literal -1 binary32)))))
u1
#s(approx (- 1 u1) (+.f32 (*.f32 u1 (/.f32 #s(literal 1 binary32) u1)) (*.f32 u1 #s(literal -1 binary32))))
(+.f32 (*.f32 u1 (/.f32 #s(literal 1 binary32) u1)) (*.f32 u1 #s(literal -1 binary32)))
(*.f32 u1 (/.f32 #s(literal 1 binary32) u1))
(/.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
(*.f32 u1 #s(literal -1 binary32))
#s(literal -1 binary32)
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
#s(literal 314159265359/50000000000 binary32)
u2
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))
(sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))
#s(approx (/ u1 (- 1 u1)) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))
(*.f32 u1 (+.f32 #s(literal 1 binary32) u1))
(+.f32 #s(literal 1 binary32) u1)
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (fma.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32))))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
(-.f32 #s(literal 1 binary32) u1)
#s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (fma.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32)))
(fma.f32 (*.f32 (fma.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32))
(*.f32 (fma.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) u2)
(fma.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32))
(*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2)
(fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))
(*.f32 u2 u2)
#s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)
#s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)
#s(literal -98696044010906577398881/5000000000000000000000 binary32)
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (+.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (pow.f32 u2 #s(literal 2 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))))
(+.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (pow.f32 u2 #s(literal 2 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
(*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (pow.f32 u2 #s(literal 2 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (pow.f32 u2 #s(literal 2 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(pow.f32 u2 #s(literal 2 binary32))
#s(literal 2 binary32)
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) #s(approx (+ (sqrt u1) (* 1/2 (/ (pow u1 2) (sqrt u1)))) (*.f32 u1 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (sqrt (/ u1 (- 1 u1))) #s(approx (+ (sqrt u1) (* 1/2 (/ (pow u1 2) (sqrt u1)))) (*.f32 u1 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))))))
#s(approx (+ (sqrt u1) (* 1/2 (/ (pow u1 2) (sqrt u1)))) (*.f32 u1 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))))))
(*.f32 u1 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))))
(+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))))
(sqrt.f32 (/.f32 #s(literal 1 binary32) u1))
(*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))
#s(literal 1/2 binary32)
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
Outputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (pow.f32 u1 #s(literal 2 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 u1)) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1) (*.f32 (pow.f32 u1 #s(literal 2 binary32)) (fma.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 u1 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 u1)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1) (*.f32 (pow.f32 u1 #s(literal 2 binary32)) (fma.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)) (*.f32 u1 (fma.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 u1 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 u1) #s(literal 2 binary32))))))) (sqrt.f32 u1)))))))))
#s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))
#s(approx (sqrt (/ u1 (- 1 u1))) (+.f32 (sqrt.f32 u1) (*.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 u1 #s(literal 2 binary32)) (sqrt.f32 u1)))))
#s(approx (sqrt (/ u1 (- 1 u1))) (+.f32 (sqrt.f32 u1) (*.f32 (pow.f32 u1 #s(literal 2 binary32)) (fma.f32 #s(literal 1/2 binary32) (/.f32 u1 (sqrt.f32 u1)) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)))))))
#s(approx (sqrt (/ u1 (- 1 u1))) (+.f32 (sqrt.f32 u1) (*.f32 (pow.f32 u1 #s(literal 2 binary32)) (fma.f32 u1 (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 u1) #s(literal 2 binary32)))))) (sqrt.f32 u1)) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)))))))
#s(approx (/ u1 (- 1 u1)) u1)
#s(approx (/ u1 (- 1 u1)) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))
#s(approx (/ u1 (- 1 u1)) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))
#s(approx (/ u1 (- 1 u1)) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))))
#s(approx (- 1 u1) #s(literal 1 binary32))
#s(approx (- 1 u1) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u1)))
#s(approx (/ 1 u1) (/.f32 #s(literal 1 binary32) u1))
#s(approx (* u1 -1) (*.f32 #s(literal -1 binary32) u1))
#s(approx (+ 1 u1) (+.f32 #s(literal 1 binary32) u1))
#s(approx (+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt (/ u1 (- 1 u1)))))) (+.f32 (sqrt.f32 u1) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (pow.f32 u2 #s(literal 2 binary32)) (sqrt.f32 u1)))))
#s(approx (+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt (/ u1 (- 1 u1)))))) (+.f32 (sqrt.f32 u1) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (pow.f32 u2 #s(literal 2 binary32)) (sqrt.f32 u1)) (*.f32 (pow.f32 u1 #s(literal 2 binary32)) (fma.f32 #s(literal -98696044010906577398881/10000000000000000000000 binary32) (/.f32 (pow.f32 u2 #s(literal 2 binary32)) (sqrt.f32 u1)) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))))))))
#s(approx (+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt (/ u1 (- 1 u1)))))) (+.f32 (sqrt.f32 u1) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (pow.f32 u2 #s(literal 2 binary32)) (sqrt.f32 u1)) (*.f32 (pow.f32 u1 #s(literal 2 binary32)) (fma.f32 #s(literal -98696044010906577398881/10000000000000000000000 binary32) (/.f32 (pow.f32 u2 #s(literal 2 binary32)) (sqrt.f32 u1)) (fma.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)) (*.f32 u1 (fma.f32 #s(literal -98696044010906577398881/10000000000000000000000 binary32) (/.f32 (pow.f32 u2 #s(literal 2 binary32)) (sqrt.f32 u1)) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)))))))))))
#s(approx (+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt (/ u1 (- 1 u1)))))) (+.f32 (sqrt.f32 u1) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (pow.f32 u2 #s(literal 2 binary32)) (sqrt.f32 u1)) (*.f32 (pow.f32 u1 #s(literal 2 binary32)) (fma.f32 #s(literal -98696044010906577398881/10000000000000000000000 binary32) (/.f32 (pow.f32 u2 #s(literal 2 binary32)) (sqrt.f32 u1)) (fma.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)) (*.f32 u1 (fma.f32 #s(literal -98696044010906577398881/10000000000000000000000 binary32) (/.f32 (pow.f32 u2 #s(literal 2 binary32)) (sqrt.f32 u1)) (fma.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)) (*.f32 u1 (fma.f32 #s(literal -98696044010906577398881/10000000000000000000000 binary32) (/.f32 (*.f32 (pow.f32 u2 #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 u1) #s(literal 2 binary32)))))) (sqrt.f32 u1)) (*.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 u1) #s(literal 2 binary32))))) (sqrt.f32 u1))))))))))))))
#s(approx (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt (/ u1 (- 1 u1))))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (pow.f32 u2 #s(literal 2 binary32)) (sqrt.f32 u1))))
#s(approx (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt (/ u1 (- 1 u1))))) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (pow.f32 u2 #s(literal 2 binary32)) (sqrt.f32 u1)) (*.f32 #s(literal -98696044010906577398881/10000000000000000000000 binary32) (/.f32 (*.f32 (pow.f32 u1 #s(literal 2 binary32)) (pow.f32 u2 #s(literal 2 binary32))) (sqrt.f32 u1)))))
#s(approx (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt (/ u1 (- 1 u1))))) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (pow.f32 u2 #s(literal 2 binary32)) (sqrt.f32 u1)) (*.f32 (pow.f32 u1 #s(literal 2 binary32)) (fma.f32 #s(literal -98696044010906577398881/10000000000000000000000 binary32) (/.f32 (*.f32 u1 (pow.f32 u2 #s(literal 2 binary32))) (sqrt.f32 u1)) (*.f32 #s(literal -98696044010906577398881/10000000000000000000000 binary32) (/.f32 (pow.f32 u2 #s(literal 2 binary32)) (sqrt.f32 u1)))))))
#s(approx (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt (/ u1 (- 1 u1))))) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (pow.f32 u2 #s(literal 2 binary32)) (sqrt.f32 u1)) (*.f32 (pow.f32 u1 #s(literal 2 binary32)) (fma.f32 #s(literal -98696044010906577398881/10000000000000000000000 binary32) (/.f32 (pow.f32 u2 #s(literal 2 binary32)) (sqrt.f32 u1)) (*.f32 u1 (fma.f32 #s(literal -98696044010906577398881/10000000000000000000000 binary32) (/.f32 (*.f32 u1 (*.f32 (pow.f32 u2 #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 u1) #s(literal 2 binary32))))))) (sqrt.f32 u1)) (*.f32 #s(literal -98696044010906577398881/10000000000000000000000 binary32) (/.f32 (pow.f32 u2 #s(literal 2 binary32)) (sqrt.f32 u1)))))))))
#s(approx (* (pow u2 2) (sqrt (/ u1 (- 1 u1)))) (*.f32 (pow.f32 u2 #s(literal 2 binary32)) (sqrt.f32 u1)))
#s(approx (* (pow u2 2) (sqrt (/ u1 (- 1 u1)))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (pow.f32 u1 #s(literal 2 binary32)) (pow.f32 u2 #s(literal 2 binary32))) (sqrt.f32 u1)) (*.f32 (pow.f32 u2 #s(literal 2 binary32)) (sqrt.f32 u1))))
#s(approx (* (pow u2 2) (sqrt (/ u1 (- 1 u1)))) (fma.f32 (pow.f32 u1 #s(literal 2 binary32)) (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 u1 (pow.f32 u2 #s(literal 2 binary32))) (sqrt.f32 u1)) (*.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 u2 #s(literal 2 binary32)) (sqrt.f32 u1)))) (*.f32 (pow.f32 u2 #s(literal 2 binary32)) (sqrt.f32 u1))))
#s(approx (* (pow u2 2) (sqrt (/ u1 (- 1 u1)))) (fma.f32 (pow.f32 u1 #s(literal 2 binary32)) (fma.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 u2 #s(literal 2 binary32)) (sqrt.f32 u1)) (*.f32 u1 (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 u1 (*.f32 (pow.f32 u2 #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 u1) #s(literal 2 binary32))))))) (sqrt.f32 u1)) (*.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 u2 #s(literal 2 binary32)) (sqrt.f32 u1)))))) (*.f32 (pow.f32 u2 #s(literal 2 binary32)) (sqrt.f32 u1))))
#s(approx (+ (sqrt (/ 1 u1)) (* 1/2 (/ 1 (sqrt (/ 1 u1))))) (/.f32 (sqrt.f32 u1) u1))
#s(approx (+ (sqrt (/ 1 u1)) (* 1/2 (/ 1 (sqrt (/ 1 u1))))) (/.f32 (+.f32 (sqrt.f32 u1) (*.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 u1 #s(literal 2 binary32)) (sqrt.f32 u1)))) u1))
#s(approx (* 1/2 (/ 1 (sqrt (/ 1 u1)))) (*.f32 #s(literal 1/2 binary32) (/.f32 u1 (sqrt.f32 u1))))
#s(approx (/ 1 (sqrt (/ 1 u1))) (/.f32 u1 (sqrt.f32 u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 u1 (sqrt.f32 #s(literal -1 binary32)))) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 u1 (sqrt.f32 #s(literal -1 binary32)))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32)))))) (*.f32 (pow.f32 u1 #s(literal 2 binary32)) (sqrt.f32 #s(literal -1 binary32)))) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 u1 (sqrt.f32 #s(literal -1 binary32)))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32)))))) (*.f32 (pow.f32 u1 #s(literal 2 binary32)) (sqrt.f32 #s(literal -1 binary32)))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32))))) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32)))))) (*.f32 (pow.f32 u1 #s(literal 3 binary32)) (sqrt.f32 #s(literal -1 binary32)))) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32)))))))
#s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 #s(literal -1 binary32)))
#s(approx (sqrt (/ u1 (- 1 u1))) (-.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 (sqrt.f32 #s(literal -1 binary32)))))))
#s(approx (sqrt (/ u1 (- 1 u1))) (-.f32 (+.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32))))) (*.f32 (pow.f32 u1 #s(literal 2 binary32)) (sqrt.f32 #s(literal -1 binary32)))))) (/.f32 #s(literal 1/2 binary32) (*.f32 u1 (sqrt.f32 #s(literal -1 binary32))))))
#s(approx (sqrt (/ u1 (- 1 u1))) (-.f32 (+.f32 (sqrt.f32 #s(literal -1 binary32)) (fma.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32))))) (*.f32 (pow.f32 u1 #s(literal 2 binary32)) (sqrt.f32 #s(literal -1 binary32)))) (*.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32))))) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32))))) (*.f32 (pow.f32 u1 #s(literal 3 binary32)) (sqrt.f32 #s(literal -1 binary32))))))) (/.f32 #s(literal 1/2 binary32) (*.f32 u1 (sqrt.f32 #s(literal -1 binary32))))))
#s(approx (/ u1 (- 1 u1)) #s(literal -1 binary32))
#s(approx (/ u1 (- 1 u1)) (*.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1))))
#s(approx (/ u1 (- 1 u1)) (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) u1)) #s(literal 1 binary32)))
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#s(approx (+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt (/ u1 (- 1 u1)))))) (+.f32 (sqrt.f32 #s(literal -1 binary32)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (pow.f32 u2 #s(literal 2 binary32)) (sqrt.f32 #s(literal -1 binary32))) (*.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -98696044010906577398881/10000000000000000000000 binary32) (/.f32 (pow.f32 u2 #s(literal 2 binary32)) (sqrt.f32 #s(literal -1 binary32))) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -98696044010906577398881/10000000000000000000000 binary32) (/.f32 (*.f32 (pow.f32 u2 #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32))))) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32)))))) (sqrt.f32 #s(literal -1 binary32))) (*.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32))))) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32))))) (sqrt.f32 #s(literal -1 binary32))))) u1) (fma.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32))))) (sqrt.f32 #s(literal -1 binary32))) (*.f32 #s(literal 98696044010906577398881/10000000000000000000000 binary32) (/.f32 (*.f32 (pow.f32 u2 #s(literal 2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32)))))) (sqrt.f32 #s(literal -1 binary32)))))) u1) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32)))))) u1)))))
#s(approx (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt (/ u1 (- 1 u1))))) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (pow.f32 u2 #s(literal 2 binary32)) (sqrt.f32 #s(literal -1 binary32))) (*.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -98696044010906577398881/10000000000000000000000 binary32) (/.f32 (*.f32 (pow.f32 u2 #s(literal 2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32)))))) (*.f32 u1 (sqrt.f32 #s(literal -1 binary32)))) (*.f32 #s(literal -98696044010906577398881/10000000000000000000000 binary32) (/.f32 (pow.f32 u2 #s(literal 2 binary32)) (sqrt.f32 #s(literal -1 binary32))))) u1))))
#s(approx (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt (/ u1 (- 1 u1))))) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (pow.f32 u2 #s(literal 2 binary32)) (sqrt.f32 #s(literal -1 binary32))) (*.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -98696044010906577398881/10000000000000000000000 binary32) (/.f32 (pow.f32 u2 #s(literal 2 binary32)) (sqrt.f32 #s(literal -1 binary32))) (*.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal 98696044010906577398881/10000000000000000000000 binary32) (/.f32 (*.f32 (pow.f32 u2 #s(literal 2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32)))))) (sqrt.f32 #s(literal -1 binary32))) (*.f32 #s(literal 98696044010906577398881/10000000000000000000000 binary32) (/.f32 (*.f32 (pow.f32 u2 #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32))))) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32)))))) (*.f32 u1 (sqrt.f32 #s(literal -1 binary32)))))) u1))) u1))))
#s(approx (* (pow u2 2) (sqrt (/ u1 (- 1 u1)))) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (pow.f32 u2 #s(literal 2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32)))))) (*.f32 u1 (sqrt.f32 #s(literal -1 binary32)))) (*.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 u2 #s(literal 2 binary32)) (sqrt.f32 #s(literal -1 binary32))))) u1) (*.f32 (pow.f32 u2 #s(literal 2 binary32)) (sqrt.f32 #s(literal -1 binary32)))))
#s(approx (* (pow u2 2) (sqrt (/ u1 (- 1 u1)))) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (pow.f32 u2 #s(literal 2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32)))))) (sqrt.f32 #s(literal -1 binary32))) (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (pow.f32 u2 #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32))))) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32)))))) (*.f32 u1 (sqrt.f32 #s(literal -1 binary32)))))) u1) (*.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 u2 #s(literal 2 binary32)) (sqrt.f32 #s(literal -1 binary32))))) u1) (*.f32 (pow.f32 u2 #s(literal 2 binary32)) (sqrt.f32 #s(literal -1 binary32)))))
#s(approx (+ (sqrt u1) (* 1/2 (/ (pow u1 2) (sqrt u1)))) (*.f32 #s(literal -1 binary32) (*.f32 u1 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (+.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (pow.f32 u2 #s(literal 2 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (+.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (pow.f32 u2 #s(literal 2 binary32)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 (pow.f32 u2 #s(literal 2 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (+.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (pow.f32 u2 #s(literal 2 binary32)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (pow.f32 u2 #s(literal 2 binary32)) (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 (pow.f32 u2 #s(literal 2 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))))))
#s(approx (cos (* 314159265359/50000000000 u2)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (pow.f32 u2 #s(literal 2 binary32)))))
#s(approx (cos (* 314159265359/50000000000 u2)) (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 u2 #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 2 binary32))) #s(literal 98696044010906577398881/5000000000000000000000 binary32)))))
#s(approx (cos (* 314159265359/50000000000 u2)) (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 u2 #s(literal 2 binary32)) (-.f32 (*.f32 (pow.f32 u2 #s(literal 2 binary32)) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 2 binary32))))) #s(literal 98696044010906577398881/5000000000000000000000 binary32)))))
#s(approx (* 314159265359/50000000000 u2) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
#s(approx u2 u2)
#s(approx (* (+ (* (* (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) u2) -98696044010906577398881/5000000000000000000000) u2) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2))
#s(approx (* (+ (* (* (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) u2) -98696044010906577398881/5000000000000000000000) u2) (*.f32 u2 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 2 binary32))) #s(literal 98696044010906577398881/5000000000000000000000 binary32))))
#s(approx (* (+ (* (* (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) u2) -98696044010906577398881/5000000000000000000000) u2) (*.f32 u2 (-.f32 (*.f32 (pow.f32 u2 #s(literal 2 binary32)) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 2 binary32))))) #s(literal 98696044010906577398881/5000000000000000000000 binary32))))
#s(approx (+ (* (* (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) u2) -98696044010906577398881/5000000000000000000000) #s(literal -98696044010906577398881/5000000000000000000000 binary32))
#s(approx (+ (* (* (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) u2) -98696044010906577398881/5000000000000000000000) (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 2 binary32))) #s(literal 98696044010906577398881/5000000000000000000000 binary32)))
#s(approx (+ (* (* (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) u2) -98696044010906577398881/5000000000000000000000) (-.f32 (*.f32 (pow.f32 u2 #s(literal 2 binary32)) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 2 binary32))))) #s(literal 98696044010906577398881/5000000000000000000000 binary32)))
#s(approx (* (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) u2))
#s(approx (* (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) (*.f32 u2 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 2 binary32))))))
#s(approx (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))
#s(approx (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 2 binary32)))))
#s(approx (* u2 u2) (pow.f32 u2 #s(literal 2 binary32)))
#s(approx (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt (/ u1 (- 1 u1))))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (pow.f32 u2 #s(literal 2 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (pow u2 2) (sqrt (/ u1 (- 1 u1)))) (*.f32 (pow.f32 u2 #s(literal 2 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (cos (* 314159265359/50000000000 u2)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (+ (* (* (+ (* (* (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) u2) -98696044010906577398881/5000000000000000000000) u2) u2) 1) (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 6 binary32))))
#s(approx (+ (* (* (+ (* (* (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) u2) -98696044010906577398881/5000000000000000000000) u2) u2) 1) (*.f32 (pow.f32 u2 #s(literal 6 binary32)) (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 u2 #s(literal 2 binary32)))) #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))
#s(approx (+ (* (* (+ (* (* (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) u2) -98696044010906577398881/5000000000000000000000) u2) u2) 1) (*.f32 (pow.f32 u2 #s(literal 6 binary32)) (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 u2 #s(literal 2 binary32)))) (+.f32 #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (pow.f32 u2 #s(literal 4 binary32)))))))
#s(approx (+ (* (* (+ (* (* (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) u2) -98696044010906577398881/5000000000000000000000) u2) u2) 1) (*.f32 (pow.f32 u2 #s(literal 6 binary32)) (-.f32 (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 u2 #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (pow.f32 u2 #s(literal 6 binary32)))) (+.f32 #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (pow.f32 u2 #s(literal 4 binary32)))))))
#s(approx (* (+ (* (* (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) u2) -98696044010906577398881/5000000000000000000000) u2) (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 5 binary32))))
#s(approx (* (+ (* (* (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) u2) -98696044010906577398881/5000000000000000000000) u2) (*.f32 (pow.f32 u2 #s(literal 5 binary32)) (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 u2 #s(literal 2 binary32)))) #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))
#s(approx (* (+ (* (* (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) u2) -98696044010906577398881/5000000000000000000000) u2) (*.f32 (pow.f32 u2 #s(literal 5 binary32)) (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 u2 #s(literal 2 binary32)))) (+.f32 #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (pow.f32 u2 #s(literal 4 binary32)))))))
#s(approx (+ (* (* (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) u2) -98696044010906577398881/5000000000000000000000) (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 4 binary32))))
#s(approx (+ (* (* (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) u2) -98696044010906577398881/5000000000000000000000) (*.f32 (pow.f32 u2 #s(literal 4 binary32)) (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 u2 #s(literal 2 binary32)))) #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))
#s(approx (+ (* (* (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) u2) -98696044010906577398881/5000000000000000000000) (*.f32 (pow.f32 u2 #s(literal 4 binary32)) (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 u2 #s(literal 2 binary32)))) (+.f32 #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (pow.f32 u2 #s(literal 4 binary32)))))))
#s(approx (* (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 3 binary32))))
#s(approx (* (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) (*.f32 (pow.f32 u2 #s(literal 3 binary32)) (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 u2 #s(literal 2 binary32)))) #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))
#s(approx (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 2 binary32))))
#s(approx (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (*.f32 (pow.f32 u2 #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 u2 #s(literal 2 binary32)))) #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))
#s(approx (+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt (/ u1 (- 1 u1)))))) (*.f32 (pow.f32 u2 #s(literal 2 binary32)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (/.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (pow.f32 u2 #s(literal 2 binary32))))))
#s(approx (* (+ (* (* (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) u2) -98696044010906577398881/5000000000000000000000) u2) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 u2 #s(literal 5 binary32)) (-.f32 #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 u2 #s(literal 2 binary32))))))))
#s(approx (* (+ (* (* (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) u2) -98696044010906577398881/5000000000000000000000) u2) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 u2 #s(literal 5 binary32)) (-.f32 (+.f32 #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (pow.f32 u2 #s(literal 4 binary32)))) (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 u2 #s(literal 2 binary32))))))))
#s(approx (* (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 u2 #s(literal 3 binary32)) (-.f32 #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 u2 #s(literal 2 binary32))))))))
Calls

9 calls:

TimeVariablePointExpression
35.0ms
u2
@0
((* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) u1 (- 1 u1) (+ (* u1 (/ 1 u1)) (* u1 -1)) (* u1 (/ 1 u1)) (/ 1 u1) 1 (* u1 -1) -1 (cos (* 314159265359/50000000000 u2)) (* 314159265359/50000000000 u2) 314159265359/50000000000 u2 (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (* u1 (+ 1 u1)) (+ 1 u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (cos (* 314159265359/50000000000 u2)) (+ (* (* (+ (* (* (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) u2) -98696044010906577398881/5000000000000000000000) u2) u2) 1) (* (+ (* (* (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) u2) -98696044010906577398881/5000000000000000000000) u2) (+ (* (* (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) u2) -98696044010906577398881/5000000000000000000000) (* (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt (/ u1 (- 1 u1)))))) (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt (/ u1 (- 1 u1))))) (* (pow u2 2) (sqrt (/ u1 (- 1 u1)))) (pow u2 2) 2 (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (+ (sqrt u1) (* 1/2 (/ (pow u1 2) (sqrt u1)))) (* u1 (+ (sqrt (/ 1 u1)) (* 1/2 (/ 1 (sqrt (/ 1 u1)))))) (+ (sqrt (/ 1 u1)) (* 1/2 (/ 1 (sqrt (/ 1 u1))))) (sqrt (/ 1 u1)) (* 1/2 (/ 1 (sqrt (/ 1 u1)))) 1/2 (/ 1 (sqrt (/ 1 u1))))
6.0ms
u1
@inf
((* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) u1 (- 1 u1) (+ (* u1 (/ 1 u1)) (* u1 -1)) (* u1 (/ 1 u1)) (/ 1 u1) 1 (* u1 -1) -1 (cos (* 314159265359/50000000000 u2)) (* 314159265359/50000000000 u2) 314159265359/50000000000 u2 (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (* u1 (+ 1 u1)) (+ 1 u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (cos (* 314159265359/50000000000 u2)) (+ (* (* (+ (* (* (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) u2) -98696044010906577398881/5000000000000000000000) u2) u2) 1) (* (+ (* (* (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) u2) -98696044010906577398881/5000000000000000000000) u2) (+ (* (* (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) u2) -98696044010906577398881/5000000000000000000000) (* (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt (/ u1 (- 1 u1)))))) (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt (/ u1 (- 1 u1))))) (* (pow u2 2) (sqrt (/ u1 (- 1 u1)))) (pow u2 2) 2 (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (+ (sqrt u1) (* 1/2 (/ (pow u1 2) (sqrt u1)))) (* u1 (+ (sqrt (/ 1 u1)) (* 1/2 (/ 1 (sqrt (/ 1 u1)))))) (+ (sqrt (/ 1 u1)) (* 1/2 (/ 1 (sqrt (/ 1 u1))))) (sqrt (/ 1 u1)) (* 1/2 (/ 1 (sqrt (/ 1 u1)))) 1/2 (/ 1 (sqrt (/ 1 u1))))
5.0ms
u1
@-inf
((* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) u1 (- 1 u1) (+ (* u1 (/ 1 u1)) (* u1 -1)) (* u1 (/ 1 u1)) (/ 1 u1) 1 (* u1 -1) -1 (cos (* 314159265359/50000000000 u2)) (* 314159265359/50000000000 u2) 314159265359/50000000000 u2 (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (* u1 (+ 1 u1)) (+ 1 u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (cos (* 314159265359/50000000000 u2)) (+ (* (* (+ (* (* (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) u2) -98696044010906577398881/5000000000000000000000) u2) u2) 1) (* (+ (* (* (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) u2) -98696044010906577398881/5000000000000000000000) u2) (+ (* (* (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) u2) -98696044010906577398881/5000000000000000000000) (* (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt (/ u1 (- 1 u1)))))) (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt (/ u1 (- 1 u1))))) (* (pow u2 2) (sqrt (/ u1 (- 1 u1)))) (pow u2 2) 2 (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (+ (sqrt u1) (* 1/2 (/ (pow u1 2) (sqrt u1)))) (* u1 (+ (sqrt (/ 1 u1)) (* 1/2 (/ 1 (sqrt (/ 1 u1)))))) (+ (sqrt (/ 1 u1)) (* 1/2 (/ 1 (sqrt (/ 1 u1))))) (sqrt (/ 1 u1)) (* 1/2 (/ 1 (sqrt (/ 1 u1)))) 1/2 (/ 1 (sqrt (/ 1 u1))))
4.0ms
u1
@0
((* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) u1 (- 1 u1) (+ (* u1 (/ 1 u1)) (* u1 -1)) (* u1 (/ 1 u1)) (/ 1 u1) 1 (* u1 -1) -1 (cos (* 314159265359/50000000000 u2)) (* 314159265359/50000000000 u2) 314159265359/50000000000 u2 (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (* u1 (+ 1 u1)) (+ 1 u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (cos (* 314159265359/50000000000 u2)) (+ (* (* (+ (* (* (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) u2) -98696044010906577398881/5000000000000000000000) u2) u2) 1) (* (+ (* (* (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) u2) -98696044010906577398881/5000000000000000000000) u2) (+ (* (* (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) u2) -98696044010906577398881/5000000000000000000000) (* (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt (/ u1 (- 1 u1)))))) (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt (/ u1 (- 1 u1))))) (* (pow u2 2) (sqrt (/ u1 (- 1 u1)))) (pow u2 2) 2 (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (+ (sqrt u1) (* 1/2 (/ (pow u1 2) (sqrt u1)))) (* u1 (+ (sqrt (/ 1 u1)) (* 1/2 (/ 1 (sqrt (/ 1 u1)))))) (+ (sqrt (/ 1 u1)) (* 1/2 (/ 1 (sqrt (/ 1 u1))))) (sqrt (/ 1 u1)) (* 1/2 (/ 1 (sqrt (/ 1 u1)))) 1/2 (/ 1 (sqrt (/ 1 u1))))
3.0ms
u2
@-inf
((* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) u1 (- 1 u1) (+ (* u1 (/ 1 u1)) (* u1 -1)) (* u1 (/ 1 u1)) (/ 1 u1) 1 (* u1 -1) -1 (cos (* 314159265359/50000000000 u2)) (* 314159265359/50000000000 u2) 314159265359/50000000000 u2 (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (* u1 (+ 1 u1)) (+ 1 u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (cos (* 314159265359/50000000000 u2)) (+ (* (* (+ (* (* (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) u2) -98696044010906577398881/5000000000000000000000) u2) u2) 1) (* (+ (* (* (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) u2) -98696044010906577398881/5000000000000000000000) u2) (+ (* (* (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) u2) -98696044010906577398881/5000000000000000000000) (* (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt (/ u1 (- 1 u1)))))) (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt (/ u1 (- 1 u1))))) (* (pow u2 2) (sqrt (/ u1 (- 1 u1)))) (pow u2 2) 2 (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (+ (sqrt u1) (* 1/2 (/ (pow u1 2) (sqrt u1)))) (* u1 (+ (sqrt (/ 1 u1)) (* 1/2 (/ 1 (sqrt (/ 1 u1)))))) (+ (sqrt (/ 1 u1)) (* 1/2 (/ 1 (sqrt (/ 1 u1))))) (sqrt (/ 1 u1)) (* 1/2 (/ 1 (sqrt (/ 1 u1)))) 1/2 (/ 1 (sqrt (/ 1 u1))))

rewrite240.0ms (5.1%)

Memory
26.7MiB live, 212.8MiB allocated; 31ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
060498
098464
1394426
02998417
18285417
Stop Event
1×saturated
1×iter-limit
1×node-limit
1×iter-limit
Counts
49 → 356
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (+.f32 (*.f32 u1 (/.f32 #s(literal 1 binary32) u1)) (*.f32 u1 #s(literal -1 binary32)))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (+.f32 (*.f32 u1 (/.f32 #s(literal 1 binary32) u1)) (*.f32 u1 #s(literal -1 binary32))))))
(/.f32 u1 #s(approx (- 1 u1) (+.f32 (*.f32 u1 (/.f32 #s(literal 1 binary32) u1)) (*.f32 u1 #s(literal -1 binary32)))))
u1
#s(approx (- 1 u1) (+.f32 (*.f32 u1 (/.f32 #s(literal 1 binary32) u1)) (*.f32 u1 #s(literal -1 binary32))))
(+.f32 (*.f32 u1 (/.f32 #s(literal 1 binary32) u1)) (*.f32 u1 #s(literal -1 binary32)))
(*.f32 u1 (/.f32 #s(literal 1 binary32) u1))
(/.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
(*.f32 u1 #s(literal -1 binary32))
#s(literal -1 binary32)
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
#s(literal 314159265359/50000000000 binary32)
u2
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))
(sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))
#s(approx (/ u1 (- 1 u1)) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))
(*.f32 u1 (+.f32 #s(literal 1 binary32) u1))
(+.f32 #s(literal 1 binary32) u1)
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (fma.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32))))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
(-.f32 #s(literal 1 binary32) u1)
#s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (fma.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32)))
(fma.f32 (*.f32 (fma.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32))
(*.f32 (fma.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) u2)
(fma.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32))
(*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2)
(fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))
(*.f32 u2 u2)
#s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)
#s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)
#s(literal -98696044010906577398881/5000000000000000000000 binary32)
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (+.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (pow.f32 u2 #s(literal 2 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))))
(+.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (pow.f32 u2 #s(literal 2 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
(*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (pow.f32 u2 #s(literal 2 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (pow.f32 u2 #s(literal 2 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(pow.f32 u2 #s(literal 2 binary32))
#s(literal 2 binary32)
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) #s(approx (+ (sqrt u1) (* 1/2 (/ (pow u1 2) (sqrt u1)))) (*.f32 u1 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (sqrt (/ u1 (- 1 u1))) #s(approx (+ (sqrt u1) (* 1/2 (/ (pow u1 2) (sqrt u1)))) (*.f32 u1 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))))))
#s(approx (+ (sqrt u1) (* 1/2 (/ (pow u1 2) (sqrt u1)))) (*.f32 u1 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))))))
(*.f32 u1 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))))
(+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))))
(sqrt.f32 (/.f32 #s(literal 1 binary32) u1))
(*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))
#s(literal 1/2 binary32)
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
Outputs
(*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))
(sqrt.f32 (*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (-.f32 #s(literal 1 binary32) u1)))) (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (-.f32 #s(literal 1 binary32) u1))))))
(sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (-.f32 #s(literal 1 binary32) u1))))
(pow.f32 (/.f32 u1 #s(approx (- 1 u1) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32))
(fabs.f32 (neg.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (-.f32 #s(literal 1 binary32) u1))))))
(fabs.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (/.f32 #s(literal 1 binary32) #s(approx (- 1 u1) (-.f32 #s(literal 1 binary32) u1))) u1)
(*.f32 (neg.f32 u1) (/.f32 #s(literal 1 binary32) (neg.f32 #s(approx (- 1 u1) (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 #s(literal 1 binary32) (/.f32 u1 #s(approx (- 1 u1) (-.f32 #s(literal 1 binary32) u1))))
(*.f32 u1 (/.f32 #s(literal 1 binary32) #s(approx (- 1 u1) (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (neg.f32 u1) (neg.f32 #s(approx (- 1 u1) (-.f32 #s(literal 1 binary32) u1))))
(/.f32 u1 (neg.f32 (neg.f32 #s(approx (- 1 u1) (-.f32 #s(literal 1 binary32) u1)))))
(/.f32 u1 #s(approx (- 1 u1) (-.f32 #s(literal 1 binary32) u1)))
(neg.f32 (/.f32 u1 (neg.f32 #s(approx (- 1 u1) (-.f32 #s(literal 1 binary32) u1)))))
(neg.f32 (/.f32 (neg.f32 u1) #s(approx (- 1 u1) (-.f32 #s(literal 1 binary32) u1))))
u1
#s(approx (- 1 u1) (-.f32 #s(literal 1 binary32) u1))
(*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 #s(literal 1 binary32) u1)) u1)
(*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) u1) (/.f32 #s(literal 1 binary32) u1))
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)
(*.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))
(*.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32)) #s(literal 2 binary32))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) u1) u1)
(/.f32 (fma.f32 (neg.f32 u1) #s(literal 2 binary32) #s(literal 2 binary32)) #s(literal 2 binary32))
(/.f32 (fma.f32 (neg.f32 u1) u1 u1) u1)
(-.f32 (neg.f32 u1) #s(literal -1 binary32))
(-.f32 #s(literal 1 binary32) u1)
(fma.f32 (neg.f32 u1) #s(literal 1 binary32) #s(literal 1 binary32))
(fma.f32 #s(literal -1 binary32) u1 #s(literal 1 binary32))
(fma.f32 (/.f32 #s(literal 1 binary32) u1) (*.f32 (neg.f32 u1) u1) #s(literal 1 binary32))
(fma.f32 #s(literal 1 binary32) (neg.f32 u1) #s(literal 1 binary32))
(fma.f32 u1 #s(literal -1 binary32) #s(literal 1 binary32))
(+.f32 (neg.f32 u1) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (neg.f32 u1))
(neg.f32 (-.f32 u1 #s(literal 1 binary32)))
#s(literal 1 binary32)
(*.f32 (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (neg.f32 u1)))
(*.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1))
(*.f32 u1 (/.f32 (/.f32 #s(literal 1 binary32) u1) u1))
(*.f32 u1 (*.f32 (/.f32 #s(literal 1 binary32) u1) (/.f32 #s(literal 1 binary32) u1)))
(sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) u1) (/.f32 #s(literal 1 binary32) u1)))
(/.f32 (*.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 2 binary32))
(/.f32 #s(literal -2 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 u1)))
(/.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) u1))
(/.f32 (neg.f32 u1) (*.f32 (neg.f32 u1) u1))
(/.f32 #s(literal -1 binary32) (neg.f32 u1))
(/.f32 #s(literal 1 binary32) u1)
(/.f32 u1 (*.f32 u1 u1))
(pow.f32 (*.f32 (/.f32 #s(literal 1 binary32) u1) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32))
(pow.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 2 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))
(pow.f32 u1 #s(literal -1 binary32))
(fabs.f32 (/.f32 #s(literal 1 binary32) u1))
(neg.f32 (/.f32 #s(literal -1 binary32) u1))
(neg.f32 (/.f32 #s(literal 1 binary32) (neg.f32 u1)))
#s(literal 1 binary32)
(*.f32 (neg.f32 u1) #s(literal 1 binary32))
(*.f32 #s(literal -1 binary32) u1)
(*.f32 (/.f32 #s(literal 1 binary32) u1) (*.f32 (neg.f32 u1) u1))
(*.f32 #s(literal 1 binary32) (neg.f32 u1))
(*.f32 u1 #s(literal -1 binary32))
(/.f32 (*.f32 #s(literal 2 binary32) (neg.f32 u1)) #s(literal 2 binary32))
(/.f32 (*.f32 (neg.f32 u1) u1) u1)
(neg.f32 u1)
#s(literal -1 binary32)
(fma.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (cos.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sin.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))))
(sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 (PI.f32) #s(literal 1/2 binary32))))
(sin.f32 (fma.f32 (fabs.f32 u2) #s(literal 314159265359/50000000000 binary32) (*.f32 (PI.f32) #s(literal 1/2 binary32))))
(sin.f32 (fma.f32 (PI.f32) #s(literal 1/2 binary32) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(+.f32 (*.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (cos.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sin.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))))
(cos.f32 (neg.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))
(cos.f32 (neg.f32 (*.f32 (fabs.f32 u2) #s(literal 314159265359/50000000000 binary32))))
(cos.f32 (fabs.f32 (*.f32 (fabs.f32 u2) #s(literal 314159265359/50000000000 binary32))))
(cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))
(cos.f32 (*.f32 (fabs.f32 u2) #s(literal 314159265359/50000000000 binary32)))
(cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
#s(literal 314159265359/50000000000 binary32)
u2
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))))
(sqrt.f32 (*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1)))))
(sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1)))
(pow.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1)) #s(literal 1/2 binary32))
(fabs.f32 (neg.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1)))))
(fabs.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))))
#s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))
(*.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))
(*.f32 (-.f32 u1 #s(literal -1 binary32)) u1)
(*.f32 (neg.f32 u1) (-.f32 (neg.f32 u1) #s(literal 1 binary32)))
(*.f32 u1 (-.f32 u1 #s(literal -1 binary32)))
(-.f32 (*.f32 u1 u1) (neg.f32 u1))
(-.f32 u1 (*.f32 (neg.f32 u1) u1))
(fma.f32 (fabs.f32 (neg.f32 u1)) (fabs.f32 (neg.f32 u1)) u1)
(fma.f32 (*.f32 (neg.f32 u1) u1) #s(literal -1 binary32) u1)
(fma.f32 (*.f32 u1 u1) #s(literal 1 binary32) u1)
(fma.f32 (neg.f32 u1) (neg.f32 u1) u1)
(fma.f32 #s(literal -1 binary32) (*.f32 (neg.f32 u1) u1) u1)
(fma.f32 #s(literal 1 binary32) (*.f32 u1 u1) u1)
(fma.f32 u1 u1 u1)
(+.f32 (*.f32 u1 u1) u1)
(+.f32 u1 (*.f32 u1 u1))
(neg.f32 (-.f32 (neg.f32 u1) (*.f32 u1 u1)))
(*.f32 (*.f32 (-.f32 u1 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) u1)) u1)
(*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)
(*.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) u1)
(*.f32 (fma.f32 u1 u1 u1) (/.f32 #s(literal 1 binary32) u1))
(*.f32 (-.f32 u1 #s(literal -1 binary32)) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal -1 binary32)))
(*.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))
(/.f32 (*.f32 (-.f32 u1 #s(literal -1 binary32)) #s(literal 2 binary32)) #s(literal 2 binary32))
(/.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 2 binary32)) #s(literal 2 binary32))
(/.f32 (fma.f32 u1 u1 u1) u1)
(-.f32 #s(literal 1 binary32) (neg.f32 u1))
(-.f32 u1 #s(literal -1 binary32))
(+.f32 #s(literal 1 binary32) u1)
(+.f32 u1 #s(literal 1 binary32))
(neg.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)))
(*.f32 #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (fma.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (fma.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32))))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32))
(fabs.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(fabs.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) u1)
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (neg.f32 u1) (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal 1 binary32))))
(*.f32 #s(literal 1 binary32) (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 u1 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))))
(sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (neg.f32 u1) (-.f32 u1 #s(literal 1 binary32)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
(pow.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32))
(pow.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 2 binary32))
(pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1 binary32))
(fabs.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(neg.f32 (/.f32 (neg.f32 u1) (-.f32 #s(literal 1 binary32) u1)))
(neg.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32))))
(*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 #s(literal 1 binary32) u1)) u1)
(*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) u1) (/.f32 #s(literal 1 binary32) u1))
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)
(*.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))
(*.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32)) #s(literal 2 binary32))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) u1) u1)
(/.f32 (fma.f32 (neg.f32 u1) #s(literal 2 binary32) #s(literal 2 binary32)) #s(literal 2 binary32))
(/.f32 (fma.f32 (neg.f32 u1) u1 u1) u1)
(-.f32 (neg.f32 u1) #s(literal -1 binary32))
(-.f32 #s(literal 1 binary32) u1)
(fma.f32 (neg.f32 u1) #s(literal 1 binary32) #s(literal 1 binary32))
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(/.f32 (*.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) #s(literal 2 binary32))
(/.f32 (*.f32 u1 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) u1)
(/.f32 #s(literal -2 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))))
(/.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))
(/.f32 (neg.f32 u1) (*.f32 u1 (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(/.f32 u1 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) u1))
(pow.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))
(neg.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))
(neg.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))))

eval48.0ms (1%)

Memory
19.9MiB live, 109.8MiB allocated; 11ms collecting garbage
Compiler

Compiled 5 735 to 2 569 computations (55.2% saved)

prune61.0ms (1.3%)

Memory
-33.2MiB live, 108.6MiB allocated; 18ms collecting garbage
Pruning

59 alts after pruning (53 fresh and 6 done)

PrunedKeptTotal
New45226478
Fresh92736
Picked415
Done055
Total46559524
Accuracy
99.9%
Counts
524 → 59
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.8%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (fma.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 (cbrt.f32 (PI.f32)) #s(literal 1/2 binary32)) (*.f32 u2 #s(literal -314159265359/50000000000 binary32)))))
98.8%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (fma.f32 #s(literal 314159265359/50000000000 binary32) u2 (*.f32 #s(literal 1/2 binary32) (PI.f32)))))
✓99.0%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 (PI.f32) #s(literal 1/2 binary32)))))
✓99.0%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
91.8%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (fma.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
91.8%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (fma.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) u2 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2)) u2 #s(literal 1 binary32))))
✓91.8%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (fma.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32))))
91.8%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (fma.f32 (*.f32 (fma.f32 (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) u2) u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32))))
90.0%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (fma.f32 #s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32))))
87.3%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 #s(approx (+ (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (* u2 u2)) -98696044010906577398881/5000000000000000000000) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32))))
79.8%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 #s(approx (* (+ (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (* u2 u2)) -98696044010906577398881/5000000000000000000000) u2) (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 5 binary32)))) u2 #s(literal 1 binary32))))
91.7%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (/.f32 (fma.f32 (*.f32 (*.f32 (fma.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) u2) u2) u1 u1) u1)))
91.8%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (+.f32 #s(literal 1 binary32) (*.f32 (fma.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2)))))
56.5%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(approx (+ (* (* (+ (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (* u2 u2)) -98696044010906577398881/5000000000000000000000) u2) u2) 1) (*.f32 (pow.f32 u2 #s(literal 6 binary32)) (-.f32 (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 u2 #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (pow.f32 u2 #s(literal 6 binary32)))) (+.f32 #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (pow.f32 u2 #s(literal 4 binary32)))))))))
6.5%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(approx (+ (* (* (+ (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (* u2 u2)) -98696044010906577398881/5000000000000000000000) u2) u2) 1) (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 6 binary32))))))
98.9%
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (fma.f32 (/.f32 #s(literal 1 binary32) u1) (*.f32 (neg.f32 u1) u1) #s(literal 1 binary32))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
99.0%
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) u1) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.9%
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (+.f32 (*.f32 u1 (/.f32 #s(literal 1 binary32) u1)) (neg.f32 u1))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.3%
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (+.f32 (*.f32 u1 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (*.f32 u1 #s(literal -1 binary32)))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.5%
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (+.f32 (*.f32 u1 (*.f32 u1 (*.f32 (/.f32 #s(literal 1 binary32) u1) (/.f32 #s(literal 1 binary32) u1)))) (*.f32 u1 #s(literal -1 binary32)))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
91.5%
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (fma.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32))))
87.0%
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))))) #s(approx (cos (* 314159265359/50000000000 u2)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (pow.f32 u2 #s(literal 2 binary32))))))
91.7%
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (fma.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32))))
85.0%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (cos.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))))
84.9%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (-.f32 u1 #s(literal -1 binary32)) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
84.8%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 (PI.f32) #s(literal 1/2 binary32)))))
79.0%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (fma.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32))))
71.8%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) (sin.f32 (fma.f32 (PI.f32) #s(literal 1/2 binary32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))
✓71.8%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 (PI.f32) #s(literal 1/2 binary32)))))
71.9%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
85.3%
(*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 (sqrt.f32 u1) u1) #s(literal 1/2 binary32) (sqrt.f32 u1))))
85.0%
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (/.f32 (+.f32 u1 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32))) (sqrt.f32 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
90.7%
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (+.f32 (sqrt.f32 u1) (*.f32 (pow.f32 u1 #s(literal 2 binary32)) (fma.f32 u1 (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 u1) #s(literal 2 binary32)))))) (sqrt.f32 u1)) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))))))) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 (PI.f32) #s(literal 1/2 binary32)))))
67.4%
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (fma.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32))))
75.4%
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) #s(approx (+ (sqrt u1) (* 1/2 (/ (pow u1 2) (sqrt u1)))) (*.f32 u1 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))))))) #s(approx (cos (* 314159265359/50000000000 u2)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (pow.f32 u2 #s(literal 2 binary32))))))
85.0%
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) #s(approx (+ (sqrt u1) (* 1/2 (/ (pow u1 2) (sqrt u1)))) (*.f32 u1 (+.f32 (sqrt.f32 (*.f32 u1 (/.f32 (/.f32 #s(literal 1 binary32) u1) u1))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (*.f32 u1 (/.f32 (/.f32 #s(literal 1 binary32) u1) u1))))))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
71.8%
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) #s(approx (+ (sqrt u1) (* 1/2 (/ (pow u1 2) (sqrt u1)))) (*.f32 u1 #s(approx (+ (sqrt (/ 1 u1)) (* 1/2 (/ 1 (sqrt (/ 1 u1))))) (/.f32 (sqrt.f32 u1) u1))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
71.9%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (+ (* (sin (* u2 -314159265359/50000000000)) (cos (* (neg (neg (PI))) 1/2))) (* (cos (* u2 -314159265359/50000000000)) (sin (* (neg (neg (PI))) 1/2))))) (*.f32 (sqrt.f32 u1) (fma.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (*.f32 (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))))
87.3%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) u2) u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
87.3%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
87.3%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (-.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 u2 u2))))
87.3%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (+.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) u2) u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32))))
87.3%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (+.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
86.8%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (+.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(approx (* (pow u2 2) (sqrt (/ u1 (- 1 u1)))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (pow.f32 u1 #s(literal 2 binary32)) (pow.f32 u2 #s(literal 2 binary32))) (sqrt.f32 u1)) (*.f32 (pow.f32 u2 #s(literal 2 binary32)) (sqrt.f32 u1)))))))
86.2%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (+.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(approx (* (pow u2 2) (sqrt (/ u1 (- 1 u1)))) (*.f32 (pow.f32 u2 #s(literal 2 binary32)) (sqrt.f32 u1))))))
87.3%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
✓80.2%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
79.9%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))))))
80.0%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) u1)))
70.5%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))))
70.5%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (+.f32 (*.f32 u1 u1) u1))))
70.4%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (-.f32 u1 #s(literal -1 binary32)) u1))))
74.9%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))))))
73.4%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))))
70.4%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 u1 (*.f32 (fma.f32 u1 u1 u1) (/.f32 #s(literal 1 binary32) u1))))))
70.4%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 u1 (*.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))))))
19.3%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) #s(approx (* u1 (+ 1 u1)) (pow.f32 u1 #s(literal 2 binary32))))))
✓61.5%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)))
87.1%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt (/ u1 (- 1 u1)))))) (*.f32 (pow.f32 u2 #s(literal 2 binary32)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (/.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (pow.f32 u2 #s(literal 2 binary32)))))))
Compiler

Compiled 2 337 to 1 765 computations (24.5% saved)

regimes310.0ms (6.6%)

Memory
21.1MiB live, 354.1MiB allocated; 57ms collecting garbage
Counts
96 → 1
Calls
Call 1
Inputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (-.f32 u1 #s(literal -1 binary32)) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (+.f32 (*.f32 u1 u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 u1 (*.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 u1 (*.f32 (fma.f32 u1 u1 u1) (/.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) #s(approx (* u1 (+ 1 u1)) (pow.f32 u1 #s(literal 2 binary32))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 #s(approx (+ (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (* u2 u2)) -98696044010906577398881/5000000000000000000000) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (fma.f32 #s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) u2) u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (-.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 u2 u2))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (+.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) u2) u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (+.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (fma.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (+.f32 (sqrt.f32 u1) (*.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 u1 #s(literal 2 binary32)) (sqrt.f32 u1))))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(approx (+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))) (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 6 binary32))))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(approx (+ (* (* (+ (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (* u2 u2)) -98696044010906577398881/5000000000000000000000) u2) u2) 1) (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 6 binary32))))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* 314159265359/50000000000 u2)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (pow.f32 u2 #s(literal 2 binary32))))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (pow.f32 u2 #s(literal 2 binary32))))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 u2 #s(literal 2 binary32)) #s(approx (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000) #s(literal -98696044010906577398881/5000000000000000000000 binary32))))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (fma.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (fma.f32 (*.f32 (fma.f32 (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) u2) u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (fma.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (fma.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) u2) u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (fma.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (fma.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (fma.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (+.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(approx (* (pow u2 2) (sqrt (/ u1 (- 1 u1)))) (*.f32 (pow.f32 u2 #s(literal 2 binary32)) (sqrt.f32 u1))))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 (*.f32 (*.f32 (fma.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) u2) u2) #s(literal -1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (+.f32 #s(literal 1 binary32) (*.f32 (fma.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 #s(approx (* (+ (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (* u2 u2)) -98696044010906577398881/5000000000000000000000) u2) (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 5 binary32)))) u2 #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2)) (*.f32 u2 u2)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (-.f32 (*.f32 (*.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)))) #s(literal 98696044010906577398881/5000000000000000000000 binary32))))))
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (fma.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (fma.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) u2 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2)) u2 #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))))) #s(approx (cos (* 314159265359/50000000000 u2)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (pow.f32 u2 #s(literal 2 binary32))))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (+.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (pow.f32 u2 #s(literal 2 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (+.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) (*.f32 u2 u2) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))))))
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(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 (PI.f32) #s(literal 1/2 binary32)))))
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(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (cos.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))))
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(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) #s(approx (+ (sqrt u1) (* 1/2 (/ (pow u1 2) (sqrt u1)))) (*.f32 u1 #s(approx (+ (sqrt (/ 1 u1)) (* 1/2 (/ 1 (sqrt (/ 1 u1))))) (/.f32 (sqrt.f32 u1) u1))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
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(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 (PI.f32) #s(literal 1/2 binary32)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (fma.f32 #s(literal 314159265359/50000000000 binary32) u2 (*.f32 #s(literal 1/2 binary32) (PI.f32)))))
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(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
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(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (+.f32 (*.f32 u1 (/.f32 #s(literal 1 binary32) u1)) (*.f32 u1 #s(literal -1 binary32)))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (fma.f32 (/.f32 #s(literal 1 binary32) u1) (*.f32 (neg.f32 u1) u1) #s(literal 1 binary32))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt (/ u1 (- 1 u1)))))) (*.f32 (pow.f32 u2 #s(literal 2 binary32)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (/.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (pow.f32 u2 #s(literal 2 binary32)))))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) #s(approx (+ (sqrt u1) (* 1/2 (/ (pow u1 2) (sqrt u1)))) (*.f32 u1 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (+.f32 (*.f32 u1 (*.f32 u1 (*.f32 (/.f32 #s(literal 1 binary32) u1) (/.f32 #s(literal 1 binary32) u1)))) (*.f32 u1 #s(literal -1 binary32)))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) #s(approx (* u1 (+ 1 u1)) (*.f32 (pow.f32 u1 #s(literal 2 binary32)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (+.f32 (*.f32 u1 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (*.f32 u1 #s(literal -1 binary32)))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (+.f32 (sqrt.f32 u1) (*.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 u1 #s(literal 2 binary32)) (sqrt.f32 u1))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (+.f32 (sqrt.f32 u1) (*.f32 (pow.f32 u1 #s(literal 2 binary32)) (fma.f32 #s(literal 1/2 binary32) (/.f32 u1 (sqrt.f32 u1)) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))))))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (fma.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (+.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (pow.f32 u2 #s(literal 2 binary32)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 (pow.f32 u2 #s(literal 2 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) #s(approx (+ (sqrt u1) (* 1/2 (/ (pow u1 2) (sqrt u1)))) (*.f32 u1 (+.f32 (sqrt.f32 (*.f32 u1 (/.f32 (/.f32 #s(literal 1 binary32) u1) u1))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (*.f32 u1 (/.f32 (/.f32 #s(literal 1 binary32) u1) u1))))))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 u2 #s(literal 2 binary32)) (-.f32 (*.f32 (pow.f32 u2 #s(literal 2 binary32)) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 2 binary32))))) #s(literal 98696044010906577398881/5000000000000000000000 binary32))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (+.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(approx (* (pow u2 2) (sqrt (/ u1 (- 1 u1)))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (pow.f32 u1 #s(literal 2 binary32)) (pow.f32 u2 #s(literal 2 binary32))) (sqrt.f32 u1)) (*.f32 (pow.f32 u2 #s(literal 2 binary32)) (sqrt.f32 u1)))))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (+.f32 (sqrt.f32 u1) (*.f32 (pow.f32 u1 #s(literal 2 binary32)) (fma.f32 #s(literal 1/2 binary32) (/.f32 u1 (sqrt.f32 u1)) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (fma.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 (cbrt.f32 (PI.f32)) #s(literal 1/2 binary32)) (*.f32 u2 #s(literal -314159265359/50000000000 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (+.f32 (sqrt.f32 u1) (*.f32 (pow.f32 u1 #s(literal 2 binary32)) (fma.f32 u1 (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 u1) #s(literal 2 binary32)))))) (sqrt.f32 u1)) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))))))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(approx (+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))) (*.f32 (pow.f32 u2 #s(literal 6 binary32)) (-.f32 (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 u2 #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (pow.f32 u2 #s(literal 6 binary32)))) (+.f32 #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (pow.f32 u2 #s(literal 4 binary32)))))))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(approx (+ (* (* (+ (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (* u2 u2)) -98696044010906577398881/5000000000000000000000) u2) u2) 1) (*.f32 (pow.f32 u2 #s(literal 6 binary32)) (-.f32 (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 u2 #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (pow.f32 u2 #s(literal 6 binary32)))) (+.f32 #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (pow.f32 u2 #s(literal 4 binary32)))))))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (+.f32 (sqrt.f32 u1) (*.f32 (pow.f32 u1 #s(literal 2 binary32)) (fma.f32 u1 (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 u1) #s(literal 2 binary32)))))) (sqrt.f32 u1)) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))))))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (fma.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (+.f32 (sqrt.f32 u1) (*.f32 (pow.f32 u1 #s(literal 2 binary32)) (fma.f32 u1 (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 u1) #s(literal 2 binary32)))))) (sqrt.f32 u1)) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (+.f32 (sqrt.f32 u1) (*.f32 (pow.f32 u1 #s(literal 2 binary32)) (fma.f32 u1 (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 u1) #s(literal 2 binary32)))))) (sqrt.f32 u1)) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))))))) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 (PI.f32) #s(literal 1/2 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (+ (* (sin (* u2 -314159265359/50000000000)) (cos (* (neg (neg (PI))) 1/2))) (* (cos (* u2 -314159265359/50000000000)) (sin (* (neg (neg (PI))) 1/2))))) (*.f32 (sqrt.f32 u1) (fma.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (*.f32 (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1) (*.f32 (pow.f32 u1 #s(literal 2 binary32)) (fma.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 u1 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 u1)))))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (sin.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))) (cos.f32 (*.f32 (neg.f32 (neg.f32 (PI.f32))) #s(literal 1/2 binary32))) (*.f32 (cos.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))) (sin.f32 (*.f32 (neg.f32 (neg.f32 (PI.f32))) #s(literal 1/2 binary32))))))
Outputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Calls

8 calls:

76.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
72.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
34.0ms
u1
29.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
25.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Results
AccuracySegmentsBranch
99.0%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
99.0%1(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
99.0%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
99.0%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
99.0%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
99.0%1cosTheta_i
99.0%1u1
99.0%1u2
Compiler

Compiled 29 to 44 computations (-51.7% saved)

regimes170.0ms (3.6%)

Memory
7.0MiB live, 235.0MiB allocated; 28ms collecting garbage
Counts
55 → 2
Calls
Call 1
Inputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (-.f32 u1 #s(literal -1 binary32)) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (+.f32 (*.f32 u1 u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 u1 (*.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 u1 (*.f32 (fma.f32 u1 u1 u1) (/.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) #s(approx (* u1 (+ 1 u1)) (pow.f32 u1 #s(literal 2 binary32))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 #s(approx (+ (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (* u2 u2)) -98696044010906577398881/5000000000000000000000) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (fma.f32 #s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) u2) u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (-.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 u2 u2))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (+.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) u2) u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (+.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (fma.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (+.f32 (sqrt.f32 u1) (*.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 u1 #s(literal 2 binary32)) (sqrt.f32 u1))))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(approx (+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))) (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 6 binary32))))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(approx (+ (* (* (+ (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (* u2 u2)) -98696044010906577398881/5000000000000000000000) u2) u2) 1) (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 6 binary32))))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* 314159265359/50000000000 u2)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (pow.f32 u2 #s(literal 2 binary32))))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (pow.f32 u2 #s(literal 2 binary32))))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 u2 #s(literal 2 binary32)) #s(approx (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000) #s(literal -98696044010906577398881/5000000000000000000000 binary32))))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (fma.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (fma.f32 (*.f32 (fma.f32 (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) u2) u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (fma.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (fma.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) u2) u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (fma.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (fma.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (fma.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (+.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(approx (* (pow u2 2) (sqrt (/ u1 (- 1 u1)))) (*.f32 (pow.f32 u2 #s(literal 2 binary32)) (sqrt.f32 u1))))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 (*.f32 (*.f32 (fma.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) u2) u2) #s(literal -1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (+.f32 #s(literal 1 binary32) (*.f32 (fma.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 #s(approx (* (+ (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (* u2 u2)) -98696044010906577398881/5000000000000000000000) u2) (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 5 binary32)))) u2 #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2)) (*.f32 u2 u2)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (-.f32 (*.f32 (*.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)))) #s(literal 98696044010906577398881/5000000000000000000000 binary32))))))
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (fma.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (fma.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) u2 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2)) u2 #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))))) #s(approx (cos (* 314159265359/50000000000 u2)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (pow.f32 u2 #s(literal 2 binary32))))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (+.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (pow.f32 u2 #s(literal 2 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (+.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) (*.f32 u2 u2) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))))))
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (fma.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (/.f32 (fma.f32 (*.f32 (*.f32 (fma.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) u2) u2) u1 u1) u1)))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 (PI.f32) #s(literal 1/2 binary32)))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) (sin.f32 (fma.f32 (PI.f32) #s(literal 1/2 binary32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (cos.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (-.f32 u1 #s(literal -1 binary32)) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Outputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (fma.f32 (*.f32 (fma.f32 (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) u2) u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (cos.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))))
Calls

8 calls:

58.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
18.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
18.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
17.0ms
u2
16.0ms
cosTheta_i
Results
AccuracySegmentsBranch
97.6%2(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
96.9%2(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
96.4%2(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
96.4%2(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
97.2%2(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
91.8%1cosTheta_i
96.4%2u1
97.6%2u2
Compiler

Compiled 29 to 44 computations (-51.7% saved)

regimes157.0ms (3.4%)

Memory
22.3MiB live, 211.3MiB allocated; 18ms collecting garbage
Counts
52 → 2
Calls
Call 1
Inputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (-.f32 u1 #s(literal -1 binary32)) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (+.f32 (*.f32 u1 u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 u1 (*.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 u1 (*.f32 (fma.f32 u1 u1 u1) (/.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) #s(approx (* u1 (+ 1 u1)) (pow.f32 u1 #s(literal 2 binary32))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 #s(approx (+ (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (* u2 u2)) -98696044010906577398881/5000000000000000000000) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (fma.f32 #s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) u2) u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (-.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 u2 u2))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (+.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) u2) u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (+.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (fma.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (+.f32 (sqrt.f32 u1) (*.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 u1 #s(literal 2 binary32)) (sqrt.f32 u1))))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(approx (+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))) (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 6 binary32))))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(approx (+ (* (* (+ (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (* u2 u2)) -98696044010906577398881/5000000000000000000000) u2) u2) 1) (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 6 binary32))))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* 314159265359/50000000000 u2)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (pow.f32 u2 #s(literal 2 binary32))))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (pow.f32 u2 #s(literal 2 binary32))))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 u2 #s(literal 2 binary32)) #s(approx (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000) #s(literal -98696044010906577398881/5000000000000000000000 binary32))))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (fma.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (fma.f32 (*.f32 (fma.f32 (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) u2) u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (fma.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (fma.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) u2) u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (fma.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (fma.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (fma.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (+.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(approx (* (pow u2 2) (sqrt (/ u1 (- 1 u1)))) (*.f32 (pow.f32 u2 #s(literal 2 binary32)) (sqrt.f32 u1))))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 (*.f32 (*.f32 (fma.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) u2) u2) #s(literal -1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (+.f32 #s(literal 1 binary32) (*.f32 (fma.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 #s(approx (* (+ (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (* u2 u2)) -98696044010906577398881/5000000000000000000000) u2) (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 5 binary32)))) u2 #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2)) (*.f32 u2 u2)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (-.f32 (*.f32 (*.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)))) #s(literal 98696044010906577398881/5000000000000000000000 binary32))))))
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (fma.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (fma.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) u2 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2)) u2 #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))))) #s(approx (cos (* 314159265359/50000000000 u2)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (pow.f32 u2 #s(literal 2 binary32))))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (+.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (pow.f32 u2 #s(literal 2 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (+.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) (*.f32 u2 u2) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))))))
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (fma.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (/.f32 (fma.f32 (*.f32 (*.f32 (fma.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) u2) u2) u1 u1) u1)))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 (PI.f32) #s(literal 1/2 binary32)))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) (sin.f32 (fma.f32 (PI.f32) #s(literal 1/2 binary32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))
Outputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (fma.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) u2 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2)) u2 #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Calls

7 calls:

69.0ms
u2
18.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
16.0ms
u1
15.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
13.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
Results
AccuracySegmentsBranch
91.8%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
91.8%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
91.8%1u1
95.1%2(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
95.2%2(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
96.1%2(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
96.1%2u2
Compiler

Compiled 28 to 41 computations (-46.4% saved)

regimes74.0ms (1.6%)

Memory
-37.9MiB live, 149.8MiB allocated; 23ms collecting garbage
Counts
45 → 1
Calls
Call 1
Inputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (-.f32 u1 #s(literal -1 binary32)) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (+.f32 (*.f32 u1 u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 u1 (*.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 u1 (*.f32 (fma.f32 u1 u1 u1) (/.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) #s(approx (* u1 (+ 1 u1)) (pow.f32 u1 #s(literal 2 binary32))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 #s(approx (+ (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (* u2 u2)) -98696044010906577398881/5000000000000000000000) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (fma.f32 #s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) u2) u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (-.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 u2 u2))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (+.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) u2) u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (+.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (fma.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (+.f32 (sqrt.f32 u1) (*.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 u1 #s(literal 2 binary32)) (sqrt.f32 u1))))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(approx (+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))) (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 6 binary32))))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(approx (+ (* (* (+ (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (* u2 u2)) -98696044010906577398881/5000000000000000000000) u2) u2) 1) (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 6 binary32))))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* 314159265359/50000000000 u2)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (pow.f32 u2 #s(literal 2 binary32))))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (pow.f32 u2 #s(literal 2 binary32))))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 u2 #s(literal 2 binary32)) #s(approx (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000) #s(literal -98696044010906577398881/5000000000000000000000 binary32))))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (fma.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (fma.f32 (*.f32 (fma.f32 (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) u2) u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (fma.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (fma.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) u2) u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (fma.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (fma.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (fma.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (+.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(approx (* (pow u2 2) (sqrt (/ u1 (- 1 u1)))) (*.f32 (pow.f32 u2 #s(literal 2 binary32)) (sqrt.f32 u1))))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 (*.f32 (*.f32 (fma.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) u2) u2) #s(literal -1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (+.f32 #s(literal 1 binary32) (*.f32 (fma.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 #s(approx (* (+ (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (* u2 u2)) -98696044010906577398881/5000000000000000000000) u2) (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 5 binary32)))) u2 #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2)) (*.f32 u2 u2)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (-.f32 (*.f32 (*.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)))) #s(literal 98696044010906577398881/5000000000000000000000 binary32))))))
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (fma.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (fma.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) u2 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2)) u2 #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))))) #s(approx (cos (* 314159265359/50000000000 u2)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (pow.f32 u2 #s(literal 2 binary32))))))
Outputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (fma.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) u2 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2)) u2 #s(literal 1 binary32))))
Calls

5 calls:

17.0ms
u2
17.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
13.0ms
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
12.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
11.0ms
cosTheta_i
Results
AccuracySegmentsBranch
91.8%1cosTheta_i
91.8%1(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
91.8%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
91.8%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
91.8%1u2
Compiler

Compiled 19 to 28 computations (-47.4% saved)

regimes140.0ms (3%)

Memory
7.8MiB live, 199.7MiB allocated; 27ms collecting garbage
Counts
43 → 1
Calls
Call 1
Inputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (-.f32 u1 #s(literal -1 binary32)) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (+.f32 (*.f32 u1 u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 u1 (*.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 u1 (*.f32 (fma.f32 u1 u1 u1) (/.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) #s(approx (* u1 (+ 1 u1)) (pow.f32 u1 #s(literal 2 binary32))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 #s(approx (+ (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (* u2 u2)) -98696044010906577398881/5000000000000000000000) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (fma.f32 #s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) u2) u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (-.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 u2 u2))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (+.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) u2) u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (+.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (fma.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (+.f32 (sqrt.f32 u1) (*.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 u1 #s(literal 2 binary32)) (sqrt.f32 u1))))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(approx (+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))) (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 6 binary32))))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(approx (+ (* (* (+ (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (* u2 u2)) -98696044010906577398881/5000000000000000000000) u2) u2) 1) (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 6 binary32))))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* 314159265359/50000000000 u2)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (pow.f32 u2 #s(literal 2 binary32))))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (pow.f32 u2 #s(literal 2 binary32))))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 u2 #s(literal 2 binary32)) #s(approx (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000) #s(literal -98696044010906577398881/5000000000000000000000 binary32))))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (fma.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (fma.f32 (*.f32 (fma.f32 (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) u2) u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (fma.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (fma.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) u2) u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (fma.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (fma.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (fma.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (+.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(approx (* (pow u2 2) (sqrt (/ u1 (- 1 u1)))) (*.f32 (pow.f32 u2 #s(literal 2 binary32)) (sqrt.f32 u1))))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 (*.f32 (*.f32 (fma.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) u2) u2) #s(literal -1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (+.f32 #s(literal 1 binary32) (*.f32 (fma.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 #s(approx (* (+ (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (* u2 u2)) -98696044010906577398881/5000000000000000000000) u2) (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 5 binary32)))) u2 #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2)) (*.f32 u2 u2)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (-.f32 (*.f32 (*.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)))) #s(literal 98696044010906577398881/5000000000000000000000 binary32))))))
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (fma.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32))))
Outputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (fma.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
Calls

8 calls:

45.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
24.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
13.0ms
cosTheta_i
12.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
11.0ms
u1
Results
AccuracySegmentsBranch
91.8%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
91.8%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
91.8%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
91.8%1u1
91.8%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
91.8%1(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
91.8%1cosTheta_i
91.8%1u2
Compiler

Compiled 29 to 44 computations (-51.7% saved)

regimes128.0ms (2.7%)

Memory
39.4MiB live, 131.1MiB allocated; 11ms collecting garbage
Counts
34 → 1
Calls
Call 1
Inputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (-.f32 u1 #s(literal -1 binary32)) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (+.f32 (*.f32 u1 u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 u1 (*.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 u1 (*.f32 (fma.f32 u1 u1 u1) (/.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) #s(approx (* u1 (+ 1 u1)) (pow.f32 u1 #s(literal 2 binary32))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 #s(approx (+ (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (* u2 u2)) -98696044010906577398881/5000000000000000000000) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (fma.f32 #s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) u2) u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (-.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 u2 u2))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (+.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) u2) u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (+.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (fma.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (+.f32 (sqrt.f32 u1) (*.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 u1 #s(literal 2 binary32)) (sqrt.f32 u1))))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(approx (+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))) (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 6 binary32))))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(approx (+ (* (* (+ (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (* u2 u2)) -98696044010906577398881/5000000000000000000000) u2) u2) 1) (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 6 binary32))))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* 314159265359/50000000000 u2)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (pow.f32 u2 #s(literal 2 binary32))))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (pow.f32 u2 #s(literal 2 binary32))))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 u2 #s(literal 2 binary32)) #s(approx (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000) #s(literal -98696044010906577398881/5000000000000000000000 binary32))))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (fma.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (fma.f32 (*.f32 (fma.f32 (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) u2) u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (fma.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (fma.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) u2) u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (fma.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
Outputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (fma.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
Calls

8 calls:

61.0ms
u1
13.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
9.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
9.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
9.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
Results
AccuracySegmentsBranch
91.8%1(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
91.8%1cosTheta_i
91.8%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
91.8%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
91.8%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
91.8%1u1
91.8%1u2
91.8%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Compiler

Compiled 29 to 44 computations (-51.7% saved)

regimes82.0ms (1.8%)

Memory
-17.3MiB live, 170.6MiB allocated; 19ms collecting garbage
Counts
33 → 1
Calls
Call 1
Inputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (-.f32 u1 #s(literal -1 binary32)) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (+.f32 (*.f32 u1 u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 u1 (*.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 u1 (*.f32 (fma.f32 u1 u1 u1) (/.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) #s(approx (* u1 (+ 1 u1)) (pow.f32 u1 #s(literal 2 binary32))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 #s(approx (+ (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (* u2 u2)) -98696044010906577398881/5000000000000000000000) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (fma.f32 #s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) u2) u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (-.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 u2 u2))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (+.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) u2) u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (+.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (fma.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (+.f32 (sqrt.f32 u1) (*.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 u1 #s(literal 2 binary32)) (sqrt.f32 u1))))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(approx (+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))) (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 6 binary32))))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(approx (+ (* (* (+ (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (* u2 u2)) -98696044010906577398881/5000000000000000000000) u2) u2) 1) (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 6 binary32))))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* 314159265359/50000000000 u2)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (pow.f32 u2 #s(literal 2 binary32))))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (pow.f32 u2 #s(literal 2 binary32))))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 u2 #s(literal 2 binary32)) #s(approx (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000) #s(literal -98696044010906577398881/5000000000000000000000 binary32))))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (fma.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (fma.f32 (*.f32 (fma.f32 (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) u2) u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (fma.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (fma.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) u2) u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32))))
Outputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) u2) u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32))))
Calls

8 calls:

14.0ms
cosTheta_i
11.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
11.0ms
u1
11.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
9.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
Results
AccuracySegmentsBranch
91.8%1cosTheta_i
91.8%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
91.8%1(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
91.8%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
91.8%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
91.8%1u1
91.8%1u2
91.8%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Compiler

Compiled 29 to 44 computations (-51.7% saved)

regimes90.0ms (1.9%)

Memory
5.7MiB live, 142.0MiB allocated; 10ms collecting garbage
Counts
32 → 1
Calls
Call 1
Inputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (-.f32 u1 #s(literal -1 binary32)) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (+.f32 (*.f32 u1 u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 u1 (*.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 u1 (*.f32 (fma.f32 u1 u1 u1) (/.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) #s(approx (* u1 (+ 1 u1)) (pow.f32 u1 #s(literal 2 binary32))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 #s(approx (+ (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (* u2 u2)) -98696044010906577398881/5000000000000000000000) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (fma.f32 #s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) u2) u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (-.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 u2 u2))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (+.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) u2) u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (+.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (fma.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (+.f32 (sqrt.f32 u1) (*.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 u1 #s(literal 2 binary32)) (sqrt.f32 u1))))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(approx (+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))) (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 6 binary32))))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(approx (+ (* (* (+ (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (* u2 u2)) -98696044010906577398881/5000000000000000000000) u2) u2) 1) (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 6 binary32))))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* 314159265359/50000000000 u2)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (pow.f32 u2 #s(literal 2 binary32))))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (pow.f32 u2 #s(literal 2 binary32))))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 u2 #s(literal 2 binary32)) #s(approx (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000) #s(literal -98696044010906577398881/5000000000000000000000 binary32))))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (fma.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (fma.f32 (*.f32 (fma.f32 (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) u2) u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (fma.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (fma.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32))))
Outputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (fma.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32))))
Calls

8 calls:

26.0ms
u2
12.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
9.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
9.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
8.0ms
u1
Results
AccuracySegmentsBranch
91.8%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
91.8%1(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
91.8%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
91.8%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
91.8%1cosTheta_i
91.8%1u1
91.8%1u2
91.8%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Compiler

Compiled 29 to 44 computations (-51.7% saved)

regimes79.0ms (1.7%)

Memory
-12.9MiB live, 175.6MiB allocated; 15ms collecting garbage
Counts
31 → 1
Calls
Call 1
Inputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (-.f32 u1 #s(literal -1 binary32)) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (+.f32 (*.f32 u1 u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 u1 (*.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 u1 (*.f32 (fma.f32 u1 u1 u1) (/.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) #s(approx (* u1 (+ 1 u1)) (pow.f32 u1 #s(literal 2 binary32))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 #s(approx (+ (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (* u2 u2)) -98696044010906577398881/5000000000000000000000) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (fma.f32 #s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) u2) u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (-.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 u2 u2))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (+.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) u2) u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (+.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (fma.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (+.f32 (sqrt.f32 u1) (*.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 u1 #s(literal 2 binary32)) (sqrt.f32 u1))))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(approx (+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))) (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 6 binary32))))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(approx (+ (* (* (+ (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (* u2 u2)) -98696044010906577398881/5000000000000000000000) u2) u2) 1) (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 6 binary32))))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* 314159265359/50000000000 u2)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (pow.f32 u2 #s(literal 2 binary32))))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (pow.f32 u2 #s(literal 2 binary32))))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 u2 #s(literal 2 binary32)) #s(approx (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000) #s(literal -98696044010906577398881/5000000000000000000000 binary32))))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (fma.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (fma.f32 (*.f32 (fma.f32 (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) u2) u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (fma.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32))))
Outputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (fma.f32 (*.f32 (fma.f32 (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) u2) u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32))))
Calls

8 calls:

13.0ms
u2
11.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
10.0ms
cosTheta_i
9.0ms
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
9.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
Results
AccuracySegmentsBranch
91.8%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
91.8%1(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
91.8%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
91.8%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
91.8%1cosTheta_i
91.8%1u1
91.8%1u2
91.8%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Compiler

Compiled 29 to 44 computations (-51.7% saved)

regimes101.0ms (2.2%)

Memory
7.1MiB live, 106.9MiB allocated; 17ms collecting garbage
Counts
29 → 1
Calls
Call 1
Inputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (-.f32 u1 #s(literal -1 binary32)) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (+.f32 (*.f32 u1 u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 u1 (*.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 u1 (*.f32 (fma.f32 u1 u1 u1) (/.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) #s(approx (* u1 (+ 1 u1)) (pow.f32 u1 #s(literal 2 binary32))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 #s(approx (+ (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (* u2 u2)) -98696044010906577398881/5000000000000000000000) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (fma.f32 #s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) u2) u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (-.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 u2 u2))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (+.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) u2) u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (+.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (fma.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (+.f32 (sqrt.f32 u1) (*.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 u1 #s(literal 2 binary32)) (sqrt.f32 u1))))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(approx (+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))) (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 6 binary32))))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(approx (+ (* (* (+ (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (* u2 u2)) -98696044010906577398881/5000000000000000000000) u2) u2) 1) (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 6 binary32))))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* 314159265359/50000000000 u2)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (pow.f32 u2 #s(literal 2 binary32))))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (pow.f32 u2 #s(literal 2 binary32))))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 u2 #s(literal 2 binary32)) #s(approx (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000) #s(literal -98696044010906577398881/5000000000000000000000 binary32))))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (fma.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32))))
Outputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (fma.f32 #s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32))))
Calls

8 calls:

39.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
15.0ms
u2
8.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
8.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
8.0ms
u1
Results
AccuracySegmentsBranch
90.0%1(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
90.0%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
90.0%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
90.0%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
90.0%1u1
90.0%1u2
90.0%1cosTheta_i
90.0%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Compiler

Compiled 29 to 44 computations (-51.7% saved)

regimes82.0ms (1.8%)

Memory
0.6MiB live, 86.5MiB allocated; 9ms collecting garbage
Counts
15 → 1
Calls
Call 1
Inputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (-.f32 u1 #s(literal -1 binary32)) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (+.f32 (*.f32 u1 u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 u1 (*.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 u1 (*.f32 (fma.f32 u1 u1 u1) (/.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) #s(approx (* u1 (+ 1 u1)) (pow.f32 u1 #s(literal 2 binary32))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 #s(approx (+ (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (* u2 u2)) -98696044010906577398881/5000000000000000000000) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32))))
Outputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 #s(approx (+ (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (* u2 u2)) -98696044010906577398881/5000000000000000000000) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32))))
Calls

8 calls:

47.0ms
cosTheta_i
8.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
4.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
4.0ms
u2
4.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
Results
AccuracySegmentsBranch
87.3%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
87.3%1(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
87.3%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
87.3%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
87.3%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
87.3%1cosTheta_i
87.3%1u1
87.3%1u2
Compiler

Compiled 29 to 44 computations (-51.7% saved)

regimes43.0ms (0.9%)

Memory
30.0MiB live, 81.2MiB allocated; 14ms collecting garbage
Counts
14 → 1
Calls
Call 1
Inputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (-.f32 u1 #s(literal -1 binary32)) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (+.f32 (*.f32 u1 u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 u1 (*.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 u1 (*.f32 (fma.f32 u1 u1 u1) (/.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) #s(approx (* u1 (+ 1 u1)) (pow.f32 u1 #s(literal 2 binary32))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
Outputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
Calls

8 calls:

14.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
4.0ms
u2
4.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
4.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
4.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
Results
AccuracySegmentsBranch
87.3%1(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
87.3%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
87.3%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
87.3%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
87.3%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
87.3%1cosTheta_i
87.3%1u1
87.3%1u2
Compiler

Compiled 29 to 44 computations (-51.7% saved)

regimes38.0ms (0.8%)

Memory
-8.4MiB live, 82.7MiB allocated; 11ms collecting garbage
Counts
13 → 1
Calls
Call 1
Inputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (-.f32 u1 #s(literal -1 binary32)) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (+.f32 (*.f32 u1 u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 u1 (*.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 u1 (*.f32 (fma.f32 u1 u1 u1) (/.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) #s(approx (* u1 (+ 1 u1)) (pow.f32 u1 #s(literal 2 binary32))))))
Outputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
Calls

8 calls:

7.0ms
u1
7.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
4.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
4.0ms
u2
4.0ms
cosTheta_i
Results
AccuracySegmentsBranch
80.2%1(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
80.2%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
80.2%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
80.2%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
80.2%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
80.2%1cosTheta_i
80.2%1u1
80.2%1u2
Compiler

Compiled 29 to 44 computations (-51.7% saved)

regimes20.0ms (0.4%)

Memory
-3.1MiB live, 43.1MiB allocated; 4ms collecting garbage
Counts
5 → 1
Calls
Call 1
Inputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (-.f32 u1 #s(literal -1 binary32)) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (+.f32 (*.f32 u1 u1) u1))))
Outputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (+.f32 (*.f32 u1 u1) u1))))
Calls

8 calls:

5.0ms
u2
2.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
2.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
2.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
2.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
Results
AccuracySegmentsBranch
70.5%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
70.5%1(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
70.5%1u2
70.5%1cosTheta_i
70.5%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
70.5%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
70.5%1u1
70.5%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Compiler

Compiled 29 to 44 computations (-51.7% saved)

regimes18.0ms (0.4%)

Memory
-20.6MiB live, 34.4MiB allocated; 6ms collecting garbage
Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (-.f32 u1 #s(literal -1 binary32)) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))
Outputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))))
Calls

8 calls:

5.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
2.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
2.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
2.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
2.0ms
u2
Results
AccuracySegmentsBranch
70.5%1(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
70.5%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
70.5%1cosTheta_i
70.5%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
70.5%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
70.5%1u1
70.5%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
70.5%1u2
Compiler

Compiled 29 to 44 computations (-51.7% saved)

regimes8.0ms (0.2%)

Memory
23.5MiB live, 23.5MiB allocated; 0ms collecting garbage
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)))
Outputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)))
Calls

8 calls:

1.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
1.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
1.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
1.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
1.0ms
u2
Results
AccuracySegmentsBranch
61.5%1(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
61.5%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
61.5%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
61.5%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
61.5%1u1
61.5%1cosTheta_i
61.5%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
61.5%1u2
Compiler

Compiled 29 to 44 computations (-51.7% saved)

bsearch1.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
0.0ms
0.106819286942482
0.1161872148513794
Compiler

Compiled 14 to 17 computations (-21.4% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated; 0ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
0.0ms
0.30660736560821533
0.34270960092544556
Compiler

Compiled 14 to 17 computations (-21.4% saved)

derivations218.0ms (4.7%)

Memory
-24.2MiB live, 212.9MiB allocated; 23ms collecting garbage
Stop Event
1×fuel
Compiler

Compiled 154 to 104 computations (32.5% saved)

preprocess236.0ms (5%)

Memory
39.0MiB live, 425.3MiB allocated; 129ms collecting garbage
Remove

(abs u2)

(abs cosTheta_i)

Compiler

Compiled 1 468 to 1 439 computations (2% saved)

end0.0ms (0%)

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

Profiling

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