Trowbridge-Reitz Sample, near normal, slope_x

Time bar (total: 3.9s)

start0.0ms (0%)

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

analyze138.0ms (3.5%)

Memory
41.0MiB live, 229.1MiB allocated; 11ms collecting garbage
Algorithm
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)

sample824.0ms (21%)

Memory
45.2MiB live, 1 274.9MiB allocated; 192ms collecting garbage
Samples
564.0ms8 256×0valid
1.0ms0invalid
Precisions
Click to see histograms. Total time spent on operations: 353.0ms
ival-cos: 114.0ms (32.3% of total)
ival-mult!: 83.0ms (23.5% of total)
ival-sqrt: 61.0ms (17.3% of total)
ival-div!: 49.0ms (13.9% of total)
ival-sub!: 29.0ms (8.2% of total)
ival-<=: 7.0ms (2% of total)
ival-and: 5.0ms (1.4% of total)
adjust: 2.0ms (0.6% of total)
ival->: 2.0ms (0.6% of total)
ival-assert: 1.0ms (0.3% of total)
Bogosity

preprocess66.0ms (1.7%)

Memory
-16.3MiB live, 33.6MiB allocated; 19ms collecting garbage
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
036117
195117
2213117
3596115
43229115
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.7%
(*.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 22 to 22 computations (0% saved)

series9.0ms (0.2%)

Memory
18.4MiB live, 18.4MiB allocated; 0ms collecting garbage
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))) #s(hole binary32 (* (cos (* 314159265359/50000000000 u2)) (sqrt u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (* 1/2 (/ (* (pow u1 2) (cos (* 314159265359/50000000000 u2))) (sqrt u1))) (* (cos (* 314159265359/50000000000 u2)) (sqrt u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (* (cos (* 314159265359/50000000000 u2)) (sqrt u1)) (* (pow u1 2) (+ (* 1/2 (/ (cos (* 314159265359/50000000000 u2)) (sqrt u1))) (* 1/2 (/ (* u1 (cos (* 314159265359/50000000000 u2))) (sqrt u1))))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (* (cos (* 314159265359/50000000000 u2)) (sqrt u1)) (* (pow u1 2) (+ (* 1/2 (/ (cos (* 314159265359/50000000000 u2)) (sqrt u1))) (* u1 (+ (* 1/2 (/ (cos (* 314159265359/50000000000 u2)) (sqrt u1))) (* 1/2 (/ (* u1 (* (cos (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 (pow (sqrt u1) 2)))))) (sqrt u1))))))))))
#s(approx (sqrt (/ u1 (- 1 u1))) #s(hole binary32 (sqrt u1)))
#s(approx (sqrt (/ u1 (- 1 u1))) #s(hole binary32 (+ (sqrt u1) (* 1/2 (/ (pow u1 2) (sqrt u1))))))
#s(approx (sqrt (/ u1 (- 1 u1))) #s(hole binary32 (+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (/ u1 (sqrt u1))) (* 1/2 (/ 1 (sqrt u1))))))))
#s(approx (sqrt (/ u1 (- 1 u1))) #s(hole binary32 (+ (sqrt u1) (* (pow u1 2) (+ (* u1 (+ (* 1/2 (/ (* u1 (- 1 (* 1/4 (/ 1 (pow (sqrt u1) 2))))) (sqrt u1))) (* 1/2 (/ 1 (sqrt u1))))) (* 1/2 (/ 1 (sqrt u1))))))))
#s(approx (/ u1 (- 1 u1)) #s(hole binary32 u1))
#s(approx (/ u1 (- 1 u1)) #s(hole binary32 (* u1 (+ 1 u1))))
#s(approx (/ u1 (- 1 u1)) #s(hole binary32 (* u1 (+ 1 (* u1 (+ 1 u1))))))
#s(approx (/ u1 (- 1 u1)) #s(hole binary32 (* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))))
#s(approx (- 1 u1) #s(hole binary32 1))
#s(approx (- 1 u1) #s(hole binary32 (+ 1 (* -1 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))))))
#s(approx (sqrt (/ u1 (- 1 u1))) #s(hole binary32 (sqrt -1)))
#s(approx (sqrt (/ u1 (- 1 u1))) #s(hole binary32 (- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))))
#s(approx (sqrt (/ u1 (- 1 u1))) #s(hole binary32 (- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1))))))
#s(approx (sqrt (/ u1 (- 1 u1))) #s(hole binary32 (- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1))))))
#s(approx (/ u1 (- 1 u1)) #s(hole binary32 -1))
#s(approx (/ u1 (- 1 u1)) #s(hole binary32 (* -1 (+ 1 (/ 1 u1)))))
#s(approx (/ u1 (- 1 u1)) #s(hole binary32 (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)))
#s(approx (/ u1 (- 1 u1)) #s(hole binary32 (- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))))
#s(approx (- 1 u1) #s(hole binary32 (* -1 u1)))
#s(approx (- 1 u1) #s(hole binary32 (* u1 (- (/ 1 u1) 1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (* -1 (/ (+ (* 1/2 (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* u1 (sqrt -1))))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (sqrt -1))) (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (- 1 (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* u1 (sqrt -1))))) u1)) (* 1/2 (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))))
#s(approx (sqrt (/ u1 (- 1 u1))) #s(hole binary32 (+ (sqrt -1) (* -1 (/ (+ (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* u1 (sqrt -1)))) (* 1/2 (/ 1 (sqrt -1)))) u1)))))
#s(approx (sqrt (/ u1 (- 1 u1))) #s(hole binary32 (+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1))) (* -1/2 (/ (- 1 (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* u1 (sqrt -1))))) u1)) (* 1/2 (/ 1 (sqrt -1)))) u1)))))
#s(approx (/ u1 (- 1 u1)) #s(hole binary32 (- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)))
#s(approx (- 1 u1) #s(hole binary32 (* -1 (* u1 (- 1 (/ 1 u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (sqrt (/ u1 (- 1 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt (/ u1 (- 1 u1))))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ u1 (- 1 u1))))))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ u1 (- 1 u1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))))))))
#s(approx (cos (* 314159265359/50000000000 u2)) #s(hole binary32 (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))))
#s(approx (cos (* 314159265359/50000000000 u2)) #s(hole binary32 (+ 1 (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))))
#s(approx (cos (* 314159265359/50000000000 u2)) #s(hole binary32 (+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)))))
#s(approx (* 314159265359/50000000000 u2) #s(hole binary32 (* 314159265359/50000000000 u2)))
#s(approx u2 #s(hole binary32 u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (* (cos (* 314159265359/50000000000 u2)) (sqrt (/ u1 (- 1 u1))))))
#s(approx (cos (* 314159265359/50000000000 u2)) #s(hole binary32 (cos (* 314159265359/50000000000 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
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)

rewrite91.0ms (2.3%)

Memory
-4.5MiB live, 87.9MiB allocated; 7ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02551303
02631106
015961073
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
55 → 64
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
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (* (cos (* 314159265359/50000000000 u2)) (sqrt u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (* 1/2 (/ (* (pow u1 2) (cos (* 314159265359/50000000000 u2))) (sqrt u1))) (* (cos (* 314159265359/50000000000 u2)) (sqrt u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (* (cos (* 314159265359/50000000000 u2)) (sqrt u1)) (* (pow u1 2) (+ (* 1/2 (/ (cos (* 314159265359/50000000000 u2)) (sqrt u1))) (* 1/2 (/ (* u1 (cos (* 314159265359/50000000000 u2))) (sqrt u1))))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (* (cos (* 314159265359/50000000000 u2)) (sqrt u1)) (* (pow u1 2) (+ (* 1/2 (/ (cos (* 314159265359/50000000000 u2)) (sqrt u1))) (* u1 (+ (* 1/2 (/ (cos (* 314159265359/50000000000 u2)) (sqrt u1))) (* 1/2 (/ (* u1 (* (cos (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 (pow (sqrt u1) 2)))))) (sqrt u1))))))))))
#s(approx (sqrt (/ u1 (- 1 u1))) #s(hole binary32 (sqrt u1)))
#s(approx (sqrt (/ u1 (- 1 u1))) #s(hole binary32 (+ (sqrt u1) (* 1/2 (/ (pow u1 2) (sqrt u1))))))
#s(approx (sqrt (/ u1 (- 1 u1))) #s(hole binary32 (+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (/ u1 (sqrt u1))) (* 1/2 (/ 1 (sqrt u1))))))))
#s(approx (sqrt (/ u1 (- 1 u1))) #s(hole binary32 (+ (sqrt u1) (* (pow u1 2) (+ (* u1 (+ (* 1/2 (/ (* u1 (- 1 (* 1/4 (/ 1 (pow (sqrt u1) 2))))) (sqrt u1))) (* 1/2 (/ 1 (sqrt u1))))) (* 1/2 (/ 1 (sqrt u1))))))))
#s(approx (/ u1 (- 1 u1)) #s(hole binary32 u1))
#s(approx (/ u1 (- 1 u1)) #s(hole binary32 (* u1 (+ 1 u1))))
#s(approx (/ u1 (- 1 u1)) #s(hole binary32 (* u1 (+ 1 (* u1 (+ 1 u1))))))
#s(approx (/ u1 (- 1 u1)) #s(hole binary32 (* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))))
#s(approx (- 1 u1) #s(hole binary32 1))
#s(approx (- 1 u1) #s(hole binary32 (+ 1 (* -1 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))))))
#s(approx (sqrt (/ u1 (- 1 u1))) #s(hole binary32 (sqrt -1)))
#s(approx (sqrt (/ u1 (- 1 u1))) #s(hole binary32 (- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))))
#s(approx (sqrt (/ u1 (- 1 u1))) #s(hole binary32 (- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1))))))
#s(approx (sqrt (/ u1 (- 1 u1))) #s(hole binary32 (- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1))))))
#s(approx (/ u1 (- 1 u1)) #s(hole binary32 -1))
#s(approx (/ u1 (- 1 u1)) #s(hole binary32 (* -1 (+ 1 (/ 1 u1)))))
#s(approx (/ u1 (- 1 u1)) #s(hole binary32 (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)))
#s(approx (/ u1 (- 1 u1)) #s(hole binary32 (- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))))
#s(approx (- 1 u1) #s(hole binary32 (* -1 u1)))
#s(approx (- 1 u1) #s(hole binary32 (* u1 (- (/ 1 u1) 1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (* -1 (/ (+ (* 1/2 (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* u1 (sqrt -1))))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (sqrt -1))) (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (- 1 (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* u1 (sqrt -1))))) u1)) (* 1/2 (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))))
#s(approx (sqrt (/ u1 (- 1 u1))) #s(hole binary32 (+ (sqrt -1) (* -1 (/ (+ (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* u1 (sqrt -1)))) (* 1/2 (/ 1 (sqrt -1)))) u1)))))
#s(approx (sqrt (/ u1 (- 1 u1))) #s(hole binary32 (+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1))) (* -1/2 (/ (- 1 (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* u1 (sqrt -1))))) u1)) (* 1/2 (/ 1 (sqrt -1)))) u1)))))
#s(approx (/ u1 (- 1 u1)) #s(hole binary32 (- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)))
#s(approx (- 1 u1) #s(hole binary32 (* -1 (* u1 (- 1 (/ 1 u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (sqrt (/ u1 (- 1 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt (/ u1 (- 1 u1))))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ u1 (- 1 u1))))))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ u1 (- 1 u1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))))))))
#s(approx (cos (* 314159265359/50000000000 u2)) #s(hole binary32 (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))))
#s(approx (cos (* 314159265359/50000000000 u2)) #s(hole binary32 (+ 1 (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))))
#s(approx (cos (* 314159265359/50000000000 u2)) #s(hole binary32 (+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)))))
#s(approx (* 314159265359/50000000000 u2) #s(hole binary32 (* 314159265359/50000000000 u2)))
#s(approx u2 #s(hole binary32 u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (* (cos (* 314159265359/50000000000 u2)) (sqrt (/ u1 (- 1 u1))))))
#s(approx (cos (* 314159265359/50000000000 u2)) #s(hole binary32 (cos (* 314159265359/50000000000 u2))))
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))))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32))
(/.f32 (neg.f32 u1) (neg.f32 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
u1
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) u1))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 u1) u1)) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (*.f32 #s(literal 1 binary32) u1))))
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
(sin.f32 (fma.f32 u2 #s(literal 314159265359/50000000000 binary32) (/.f32 (PI.f32) #s(literal 2 binary32))))
(cos.f32 (neg.f32 (*.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))) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (/.f32 (*.f32 (*.f32 u1 u1) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 u1)) #s(literal 1/2 binary32) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 u1)) (*.f32 u1 (/.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 u1))))) (*.f32 u1 u1) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 u1)) (*.f32 u1 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 (sqrt.f32 u1) (sqrt.f32 u1)))) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 u1))))) u1 (*.f32 (/.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 u1)) #s(literal 1/2 binary32))) (*.f32 u1 u1) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
#s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))
#s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (/.f32 (*.f32 u1 u1) (sqrt.f32 u1)) #s(literal 1/2 binary32) (sqrt.f32 u1)))
#s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (fma.f32 (/.f32 u1 (sqrt.f32 u1)) #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) (sqrt.f32 u1))) (*.f32 u1 u1) (sqrt.f32 u1)))
#s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (fma.f32 (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 (sqrt.f32 u1) (sqrt.f32 u1)))) u1) (sqrt.f32 u1)) #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) (sqrt.f32 u1))) u1 (/.f32 #s(literal 1/2 binary32) (sqrt.f32 u1))) (*.f32 u1 u1) (sqrt.f32 u1)))
#s(approx (/ u1 (- 1 u1)) u1)
#s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1))
#s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 (+.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) u1))
#s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 (fma.f32 (+.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32)) u1))
#s(approx (- 1 u1) #s(literal 1 binary32))
#s(approx (- 1 u1) (+.f32 (neg.f32 u1) #s(literal 1 binary32)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (/.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) #s(literal -1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (/.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) #s(literal -1/2 binary32) (fma.f32 (/.f32 (*.f32 #s(literal 3/4 binary32) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 u1 u1))) #s(literal -1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (/.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) #s(literal -1/2 binary32) (fma.f32 (/.f32 (*.f32 #s(literal 3/4 binary32) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 u1 u1))) #s(literal -1/2 binary32) (fma.f32 (*.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (/.f32 #s(literal 5/8 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (*.f32 u1 u1) u1)))) #s(literal -1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 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 (sqrt.f32 #s(literal -1 binary32)) u1))))
#s(approx (sqrt (/ u1 (- 1 u1))) (-.f32 (+.f32 (/.f32 #s(literal -3/8 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 u1 u1))) (sqrt.f32 #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1))))
#s(approx (sqrt (/ u1 (- 1 u1))) (-.f32 (+.f32 (+.f32 (/.f32 #s(literal -5/16 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (*.f32 u1 u1) u1))) (/.f32 #s(literal -3/8 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 u1 u1)))) (sqrt.f32 #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1))))
#s(approx (/ u1 (- 1 u1)) #s(literal -1 binary32))
#s(approx (/ u1 (- 1 u1)) (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))))
#s(approx (/ u1 (- 1 u1)) (-.f32 (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)) #s(literal 1 binary32)))
#s(approx (/ u1 (- 1 u1)) (-.f32 (-.f32 (/.f32 (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))) (*.f32 u1 u1)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) u1)))
#s(approx (- 1 u1) (neg.f32 u1))
#s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (neg.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (/.f32 #s(literal 3/4 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1))))) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (neg.f32 (/.f32 (fma.f32 (/.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 #s(literal -1 binary32))) #s(literal 1/2 binary32) (neg.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (fma.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (/.f32 #s(literal 3/4 binary32) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (/.f32 #s(literal 5/8 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1))))) u1))) u1))))
#s(approx (sqrt (/ u1 (- 1 u1))) (+.f32 (sqrt.f32 #s(literal -1 binary32)) (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 3/8 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) u1))))
#s(approx (sqrt (/ u1 (- 1 u1))) (+.f32 (neg.f32 (/.f32 (+.f32 (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal -5/16 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) (/.f32 #s(literal -3/8 binary32) (sqrt.f32 #s(literal -1 binary32)))) u1)) (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) u1)) (sqrt.f32 #s(literal -1 binary32))))
#s(approx (/ u1 (- 1 u1)) (-.f32 (neg.f32 (/.f32 (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1))) u1)) #s(literal 1 binary32)))
#s(approx (- 1 u1) (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) 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))) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (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))))) (*.f32 u2 u2) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))
#s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32)))
#s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.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)))
#s(approx (* 314159265359/50000000000 u2) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
#s(approx u2 u2)
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (cos (* 314159265359/50000000000 u2)) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))

eval5.0ms (0.1%)

Memory
11.9MiB live, 11.9MiB allocated; 0ms collecting garbage
Compiler

Compiled 1 385 to 302 computations (78.2% saved)

prune17.0ms (0.4%)

Memory
-19.1MiB live, 23.8MiB allocated; 8ms collecting garbage
Pruning

16 alts after pruning (15 fresh and 1 done)

PrunedKeptTotal
New411556
Fresh000
Picked011
Done000
Total411657
Accuracy
99.4%
Counts
57 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.2%
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.6%
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.6%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (fma.f32 u2 #s(literal 314159265359/50000000000 binary32) (/.f32 (PI.f32) #s(literal 2 binary32)))))
98.7%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
93.5%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.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))))
91.5%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
88.3%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
98.6%
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
92.1%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 (+.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
88.1%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
75.0%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
90.3%
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (fma.f32 (/.f32 u1 (sqrt.f32 u1)) #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) (sqrt.f32 u1))) (*.f32 u1 u1) (sqrt.f32 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
93.6%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (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))))) (*.f32 u2 u2) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
91.6%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
88.3%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
78.1%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
Compiler

Compiled 721 to 523 computations (27.5% saved)

series45.0ms (1.1%)

Memory
17.1MiB live, 62.9MiB allocated; 15ms collecting garbage
Counts
35 → 128
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (fma.f32 u2 #s(literal 314159265359/50000000000 binary32) (/.f32 (PI.f32) #s(literal 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 u2 #s(literal 314159265359/50000000000 binary32) (/.f32 (PI.f32) #s(literal 2 binary32))))
(fma.f32 u2 #s(literal 314159265359/50000000000 binary32) (/.f32 (PI.f32) #s(literal 2 binary32)))
u2
#s(literal 314159265359/50000000000 binary32)
(/.f32 (PI.f32) #s(literal 2 binary32))
(PI.f32)
#s(literal 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 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
#s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32)))
(fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))
(-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32))
(*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2))
#s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)
(*.f32 u2 u2)
#s(literal 98696044010906577398881/5000000000000000000000 binary32)
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(fma.f32 (fma.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(fma.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
#s(literal -98696044010906577398881/5000000000000000000000 binary32)
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 (+.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 (+.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) u1)))
#s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 (+.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) u1))
(*.f32 (fma.f32 (+.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) u1)
(fma.f32 (+.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) u1)
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
Outputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2)))) #s(hole binary32 (* (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2)))) #s(hole binary32 (+ (* 1/2 (/ (* (pow u1 2) (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2)))) (sqrt u1))) (* (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2)))) #s(hole binary32 (+ (* (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt u1)) (* (pow u1 2) (+ (* 1/2 (/ (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt u1))) (* 1/2 (/ (* u1 (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2)))) (sqrt u1))))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2)))) #s(hole binary32 (+ (* (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt u1)) (* (pow u1 2) (+ (* 1/2 (/ (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt u1))) (* u1 (+ (* 1/2 (/ (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt u1))) (* 1/2 (/ (* u1 (* (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (- 1 (* 1/4 (/ 1 (pow (sqrt u1) 2)))))) (sqrt u1))))))))))
#s(approx (sqrt (/ u1 (- 1 u1))) #s(hole binary32 (sqrt u1)))
#s(approx (sqrt (/ u1 (- 1 u1))) #s(hole binary32 (+ (sqrt u1) (* 1/2 (/ (pow u1 2) (sqrt u1))))))
#s(approx (sqrt (/ u1 (- 1 u1))) #s(hole binary32 (+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (/ u1 (sqrt u1))) (* 1/2 (/ 1 (sqrt u1))))))))
#s(approx (sqrt (/ u1 (- 1 u1))) #s(hole binary32 (+ (sqrt u1) (* (pow u1 2) (+ (* u1 (+ (* 1/2 (/ (* u1 (- 1 (* 1/4 (/ 1 (pow (sqrt u1) 2))))) (sqrt u1))) (* 1/2 (/ 1 (sqrt u1))))) (* 1/2 (/ 1 (sqrt u1))))))))
#s(approx (/ u1 (- 1 u1)) #s(hole binary32 u1))
#s(approx (/ u1 (- 1 u1)) #s(hole binary32 (* u1 (+ 1 u1))))
#s(approx (/ u1 (- 1 u1)) #s(hole binary32 (* u1 (+ 1 (* u1 (+ 1 u1))))))
#s(approx (/ u1 (- 1 u1)) #s(hole binary32 (* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))))
#s(approx (- 1 u1) #s(hole binary32 1))
#s(approx (- 1 u1) #s(hole binary32 (+ 1 (* -1 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (* (cos (* 314159265359/50000000000 u2)) (sqrt u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (* 1/2 (/ (* (pow u1 2) (cos (* 314159265359/50000000000 u2))) (sqrt u1))) (* (cos (* 314159265359/50000000000 u2)) (sqrt u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (* (cos (* 314159265359/50000000000 u2)) (sqrt u1)) (* (pow u1 2) (+ (* 1/2 (/ (cos (* 314159265359/50000000000 u2)) (sqrt u1))) (* 1/2 (/ (* u1 (cos (* 314159265359/50000000000 u2))) (sqrt u1))))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (* (cos (* 314159265359/50000000000 u2)) (sqrt u1)) (* (pow u1 2) (+ (* 1/2 (/ (cos (* 314159265359/50000000000 u2)) (sqrt u1))) (* u1 (+ (* 1/2 (/ (cos (* 314159265359/50000000000 u2)) (sqrt u1))) (* 1/2 (/ (* u1 (* (cos (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 (pow (sqrt u1) 2)))))) (sqrt u1))))))))))
#s(approx (+ (* (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (+ (sqrt u1) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt u1)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt u1))))))))
#s(approx (+ (* (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (+ (sqrt u1) (+ (* (pow u1 2) (+ (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 (/ (pow u2 2) (sqrt u1))) (* 98696044010906577398881/10000000000000000000000 (/ 1 (sqrt u1))))) (* 1/2 (/ 1 (sqrt u1))))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt u1)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt u1)))))))))
#s(approx (+ (* (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (+ (sqrt u1) (+ (* (pow u1 2) (+ (* 1/2 (/ 1 (sqrt u1))) (+ (* u1 (+ (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 (/ (pow u2 2) (sqrt u1))) (* 98696044010906577398881/10000000000000000000000 (/ 1 (sqrt u1))))) (* 1/2 (/ 1 (sqrt u1))))) (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 (/ (pow u2 2) (sqrt u1))) (* 98696044010906577398881/10000000000000000000000 (/ 1 (sqrt u1)))))))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt u1)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt u1)))))))))
#s(approx (+ (* (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (+ (sqrt u1) (+ (* (pow u1 2) (+ (* 1/2 (/ 1 (sqrt u1))) (+ (* u1 (+ (* 1/2 (/ 1 (sqrt u1))) (+ (* u1 (+ (* 1/2 (/ (- 1 (* 1/4 (/ 1 (pow (sqrt u1) 2)))) (sqrt u1))) (* (pow u2 2) (+ (* -98696044010906577398881/10000000000000000000000 (/ (- 1 (* 1/4 (/ 1 (pow (sqrt u1) 2)))) (sqrt u1))) (* 9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 (/ (* (pow u2 2) (- 1 (* 1/4 (/ 1 (pow (sqrt u1) 2))))) (sqrt u1))))))) (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 (/ (pow u2 2) (sqrt u1))) (* 98696044010906577398881/10000000000000000000000 (/ 1 (sqrt u1)))))))) (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 (/ (pow u2 2) (sqrt u1))) (* 98696044010906577398881/10000000000000000000000 (/ 1 (sqrt u1)))))))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt u1)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt u1)))))))))
#s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) #s(hole binary32 (+ (* -98696044010906577398881/5000000000000000000000 (sqrt u1)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt u1))))))
#s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) #s(hole binary32 (+ (* -98696044010906577398881/5000000000000000000000 (sqrt u1)) (+ (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt u1))) (* (pow u1 2) (- (* 9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 (/ (pow u2 2) (sqrt u1))) (* 98696044010906577398881/10000000000000000000000 (/ 1 (sqrt u1)))))))))
#s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) #s(hole binary32 (+ (* -98696044010906577398881/5000000000000000000000 (sqrt u1)) (+ (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt u1))) (* (pow u1 2) (- (+ (* 9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 (/ (pow u2 2) (sqrt u1))) (* u1 (- (* 9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 (/ (pow u2 2) (sqrt u1))) (* 98696044010906577398881/10000000000000000000000 (/ 1 (sqrt u1)))))) (* 98696044010906577398881/10000000000000000000000 (/ 1 (sqrt u1)))))))))
#s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) #s(hole binary32 (+ (* -98696044010906577398881/5000000000000000000000 (sqrt u1)) (+ (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt u1))) (* (pow u1 2) (- (+ (* 9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 (/ (pow u2 2) (sqrt u1))) (* u1 (- (+ (* 9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 (/ (pow u2 2) (sqrt u1))) (* u1 (+ (* -98696044010906577398881/10000000000000000000000 (/ (- 1 (* 1/4 (/ 1 (pow (sqrt u1) 2)))) (sqrt u1))) (* 9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 (/ (* (pow u2 2) (- 1 (* 1/4 (/ 1 (pow (sqrt u1) 2))))) (sqrt u1)))))) (* 98696044010906577398881/10000000000000000000000 (/ 1 (sqrt u1)))))) (* 98696044010906577398881/10000000000000000000000 (/ 1 (sqrt u1)))))))))
#s(approx (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (* -98696044010906577398881/5000000000000000000000 (sqrt u1))))
#s(approx (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (+ (* -98696044010906577398881/5000000000000000000000 (sqrt u1)) (* -98696044010906577398881/10000000000000000000000 (/ (pow u1 2) (sqrt u1))))))
#s(approx (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (+ (* -98696044010906577398881/5000000000000000000000 (sqrt u1)) (* (pow u1 2) (- (* -98696044010906577398881/10000000000000000000000 (/ u1 (sqrt u1))) (* 98696044010906577398881/10000000000000000000000 (/ 1 (sqrt u1))))))))
#s(approx (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (+ (* -98696044010906577398881/5000000000000000000000 (sqrt u1)) (* (pow u1 2) (- (* u1 (- (* -98696044010906577398881/10000000000000000000000 (/ (* u1 (- 1 (* 1/4 (/ 1 (pow (sqrt u1) 2))))) (sqrt u1))) (* 98696044010906577398881/10000000000000000000000 (/ 1 (sqrt u1))))) (* 98696044010906577398881/10000000000000000000000 (/ 1 (sqrt u1))))))))
#s(approx (+ (* (+ 1 u1) u1) 1) #s(hole binary32 (+ 1 u1)))
#s(approx (+ (* (+ 1 u1) u1) 1) #s(hole binary32 (+ 1 (* u1 (+ 1 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2)))) #s(hole binary32 (* (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2)))) #s(hole binary32 (+ (* -1/2 (/ (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (* u1 (sqrt -1)))) (* (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2)))) #s(hole binary32 (+ (* -1/2 (/ (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2)))) #s(hole binary32 (+ (* -1/2 (/ (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1)))))))
#s(approx (sqrt (/ u1 (- 1 u1))) #s(hole binary32 (sqrt -1)))
#s(approx (sqrt (/ u1 (- 1 u1))) #s(hole binary32 (- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))))
#s(approx (sqrt (/ u1 (- 1 u1))) #s(hole binary32 (- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1))))))
#s(approx (sqrt (/ u1 (- 1 u1))) #s(hole binary32 (- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1))))))
#s(approx (/ u1 (- 1 u1)) #s(hole binary32 -1))
#s(approx (/ u1 (- 1 u1)) #s(hole binary32 (* -1 (+ 1 (/ 1 u1)))))
#s(approx (/ u1 (- 1 u1)) #s(hole binary32 (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)))
#s(approx (/ u1 (- 1 u1)) #s(hole binary32 (- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))))
#s(approx (- 1 u1) #s(hole binary32 (* -1 u1)))
#s(approx (- 1 u1) #s(hole binary32 (* u1 (- (/ 1 u1) 1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))))))
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#s(approx (+ (* (+ 1 u1) u1) 1) #s(hole binary32 (pow u1 2)))
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#s(approx (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2))) #s(hole binary32 (sin (* 1/2 (PI)))))
#s(approx (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2))) #s(hole binary32 (+ (sin (* 1/2 (PI))) (* 314159265359/50000000000 (* u2 (cos (* 1/2 (PI))))))))
#s(approx (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2))) #s(hole binary32 (+ (sin (* 1/2 (PI))) (* u2 (+ (* -98696044010906577398881/5000000000000000000000 (* u2 (sin (* 1/2 (PI))))) (* 314159265359/50000000000 (cos (* 1/2 (PI)))))))))
#s(approx (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2))) #s(hole binary32 (+ (sin (* 1/2 (PI))) (* u2 (+ (* 314159265359/50000000000 (cos (* 1/2 (PI)))) (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* u2 (cos (* 1/2 (PI))))) (* -98696044010906577398881/5000000000000000000000 (sin (* 1/2 (PI)))))))))))
#s(approx (+ (* u2 314159265359/50000000000) (/ (PI) 2)) #s(hole binary32 (* 1/2 (PI))))
#s(approx (+ (* u2 314159265359/50000000000) (/ (PI) 2)) #s(hole binary32 (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))))
#s(approx u2 #s(hole binary32 u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (sqrt (/ u1 (- 1 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt (/ u1 (- 1 u1))))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ u1 (- 1 u1))))))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ u1 (- 1 u1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))))))))
#s(approx (cos (* 314159265359/50000000000 u2)) #s(hole binary32 (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))))
#s(approx (cos (* 314159265359/50000000000 u2)) #s(hole binary32 (+ 1 (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))))
#s(approx (cos (* 314159265359/50000000000 u2)) #s(hole binary32 (+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)))))
#s(approx (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) 98696044010906577398881/5000000000000000000000) #s(hole binary32 -98696044010906577398881/5000000000000000000000))
#s(approx (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) 98696044010906577398881/5000000000000000000000) #s(hole binary32 (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))
#s(approx (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) #s(hole binary32 (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2))))
#s(approx (* u2 u2) #s(hole binary32 (pow u2 2)))
#s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) #s(hole binary32 (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))))
#s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) #s(hole binary32 (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ u1 (- 1 u1))))))))
#s(approx (* 314159265359/50000000000 u2) #s(hole binary32 (* 314159265359/50000000000 u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2)))) #s(hole binary32 (* (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))))))
#s(approx (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2))) #s(hole binary32 (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2)))))
#s(approx (+ (* u2 314159265359/50000000000) (/ (PI) 2)) #s(hole binary32 (* u2 (+ 314159265359/50000000000 (* 1/2 (/ (PI) u2))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (* (cos (* 314159265359/50000000000 u2)) (sqrt (/ u1 (- 1 u1))))))
#s(approx (cos (* 314159265359/50000000000 u2)) #s(hole binary32 (cos (* 314159265359/50000000000 u2))))
#s(approx (+ (* (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) 98696044010906577398881/5000000000000000000000) (* u2 u2)) 1) #s(hole binary32 (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 4))))
#s(approx (+ (* (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) 98696044010906577398881/5000000000000000000000) (* u2 u2)) 1) #s(hole binary32 (* (pow u2 4) (- 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* 98696044010906577398881/5000000000000000000000 (/ 1 (pow u2 2)))))))
#s(approx (+ (* (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) 98696044010906577398881/5000000000000000000000) (* u2 u2)) 1) #s(hole binary32 (* (pow u2 4) (- (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 4))) (* 98696044010906577398881/5000000000000000000000 (/ 1 (pow u2 2)))))))
#s(approx (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) 98696044010906577398881/5000000000000000000000) #s(hole binary32 (* (pow u2 2) (- 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* 98696044010906577398881/5000000000000000000000 (/ 1 (pow u2 2)))))))
#s(approx (+ (* (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 4) (sqrt (/ u1 (- 1 u1)))))))
#s(approx (+ (* (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (* (pow u2 4) (+ (* -98696044010906577398881/5000000000000000000000 (/ (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))))
#s(approx (+ (* (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (* (pow u2 4) (+ (* -98696044010906577398881/5000000000000000000000 (/ (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (+ (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (/ (sqrt (/ u1 (- 1 u1))) (pow u2 4)))))))
#s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) #s(hole binary32 (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ u1 (- 1 u1)))))))
#s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) #s(hole binary32 (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (/ (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2)))) #s(hole binary32 (* (sin (- (* 1/2 (PI)) (* -314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))))))
#s(approx (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2))) #s(hole binary32 (sin (- (* 1/2 (PI)) (* -314159265359/50000000000 u2)))))
#s(approx (+ (* u2 314159265359/50000000000) (/ (PI) 2)) #s(hole binary32 (* -1 (* u2 (- (* -1/2 (/ (PI) u2)) 314159265359/50000000000)))))
Calls

9 calls:

TimeVariablePointExpression
5.0ms
u1
@inf
((* (sqrt (/ u1 (- 1 u1))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2)))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) u1 (- 1 u1) 1 (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2))) (+ (* u2 314159265359/50000000000) (/ (PI) 2)) u2 314159265359/50000000000 (/ (PI) 2) (PI) 2 (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (cos (* 314159265359/50000000000 u2)) (+ (* (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) 98696044010906577398881/5000000000000000000000) (* u2 u2)) 1) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) 98696044010906577398881/5000000000000000000000) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2) 98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (+ (* (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (* (+ (* (+ 1 u1) u1) 1) u1) (+ (* (+ 1 u1) u1) 1) (+ 1 u1) (cos (* 314159265359/50000000000 u2)) (* 314159265359/50000000000 u2))
4.0ms
u1
@0
((* (sqrt (/ u1 (- 1 u1))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2)))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) u1 (- 1 u1) 1 (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2))) (+ (* u2 314159265359/50000000000) (/ (PI) 2)) u2 314159265359/50000000000 (/ (PI) 2) (PI) 2 (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (cos (* 314159265359/50000000000 u2)) (+ (* (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) 98696044010906577398881/5000000000000000000000) (* u2 u2)) 1) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) 98696044010906577398881/5000000000000000000000) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2) 98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (+ (* (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (* (+ (* (+ 1 u1) u1) 1) u1) (+ (* (+ 1 u1) u1) 1) (+ 1 u1) (cos (* 314159265359/50000000000 u2)) (* 314159265359/50000000000 u2))
3.0ms
u1
@-inf
((* (sqrt (/ u1 (- 1 u1))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2)))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) u1 (- 1 u1) 1 (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2))) (+ (* u2 314159265359/50000000000) (/ (PI) 2)) u2 314159265359/50000000000 (/ (PI) 2) (PI) 2 (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (cos (* 314159265359/50000000000 u2)) (+ (* (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) 98696044010906577398881/5000000000000000000000) (* u2 u2)) 1) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) 98696044010906577398881/5000000000000000000000) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2) 98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (+ (* (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (* (+ (* (+ 1 u1) u1) 1) u1) (+ (* (+ 1 u1) u1) 1) (+ 1 u1) (cos (* 314159265359/50000000000 u2)) (* 314159265359/50000000000 u2))
3.0ms
u2
@inf
((* (sqrt (/ u1 (- 1 u1))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2)))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) u1 (- 1 u1) 1 (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2))) (+ (* u2 314159265359/50000000000) (/ (PI) 2)) u2 314159265359/50000000000 (/ (PI) 2) (PI) 2 (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (cos (* 314159265359/50000000000 u2)) (+ (* (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) 98696044010906577398881/5000000000000000000000) (* u2 u2)) 1) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) 98696044010906577398881/5000000000000000000000) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2) 98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (+ (* (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (* (+ (* (+ 1 u1) u1) 1) u1) (+ (* (+ 1 u1) u1) 1) (+ 1 u1) (cos (* 314159265359/50000000000 u2)) (* 314159265359/50000000000 u2))
3.0ms
u2
@-inf
((* (sqrt (/ u1 (- 1 u1))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2)))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) u1 (- 1 u1) 1 (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2))) (+ (* u2 314159265359/50000000000) (/ (PI) 2)) u2 314159265359/50000000000 (/ (PI) 2) (PI) 2 (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (cos (* 314159265359/50000000000 u2)) (+ (* (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) 98696044010906577398881/5000000000000000000000) (* u2 u2)) 1) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) 98696044010906577398881/5000000000000000000000) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2) 98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (+ (* (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (* (+ (* (+ 1 u1) u1) 1) u1) (+ (* (+ 1 u1) u1) 1) (+ 1 u1) (cos (* 314159265359/50000000000 u2)) (* 314159265359/50000000000 u2))

rewrite265.0ms (6.7%)

Memory
11.1MiB live, 193.7MiB allocated; 29ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07355954
07804794
048934579
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
163 → 245
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (fma.f32 u2 #s(literal 314159265359/50000000000 binary32) (/.f32 (PI.f32) #s(literal 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 u2 #s(literal 314159265359/50000000000 binary32) (/.f32 (PI.f32) #s(literal 2 binary32))))
(fma.f32 u2 #s(literal 314159265359/50000000000 binary32) (/.f32 (PI.f32) #s(literal 2 binary32)))
u2
#s(literal 314159265359/50000000000 binary32)
(/.f32 (PI.f32) #s(literal 2 binary32))
(PI.f32)
#s(literal 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 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
#s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32)))
(fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))
(-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32))
(*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2))
#s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)
(*.f32 u2 u2)
#s(literal 98696044010906577398881/5000000000000000000000 binary32)
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#s(approx (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (* -98696044010906577398881/5000000000000000000000 (sqrt -1))))
#s(approx (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (+ (* -98696044010906577398881/5000000000000000000000 (sqrt -1)) (* 98696044010906577398881/10000000000000000000000 (/ 1 (* u1 (sqrt -1)))))))
#s(approx (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (+ (* -98696044010906577398881/5000000000000000000000 (sqrt -1)) (+ (* 98696044010906577398881/10000000000000000000000 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (/ 98696044010906577398881/10000000000000000000000 (* u1 (sqrt -1)))))))
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#s(approx (* (+ (* (+ 1 u1) u1) 1) u1) #s(hole binary32 (pow u1 3)))
#s(approx (* (+ (* (+ 1 u1) u1) 1) u1) #s(hole binary32 (* (pow u1 3) (+ 1 (/ 1 u1)))))
#s(approx (* (+ (* (+ 1 u1) u1) 1) u1) #s(hole binary32 (* (pow u1 3) (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))))))
#s(approx (+ (* (+ 1 u1) u1) 1) #s(hole binary32 (pow u1 2)))
#s(approx (+ (* (+ 1 u1) u1) 1) #s(hole binary32 (* (pow u1 2) (+ 1 (/ 1 u1)))))
#s(approx (+ (* (+ 1 u1) u1) 1) #s(hole binary32 (* (pow u1 2) (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))))))
#s(approx (+ 1 u1) #s(hole binary32 (* u1 (+ 1 (/ 1 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2)))) #s(hole binary32 (+ (* -1 (/ (+ (* 1/2 (/ (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1))) (* 1/2 (/ (* (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* u1 (sqrt -1))))) u1)) (* (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2)))) #s(hole binary32 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (sqrt -1))) (* -1/2 (/ (* (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (- 1 (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* u1 (sqrt -1))))) u1)) (* 1/2 (/ (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1)))) u1)) (* (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1)))))
#s(approx (sqrt (/ u1 (- 1 u1))) #s(hole binary32 (+ (sqrt -1) (* -1 (/ (+ (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* u1 (sqrt -1)))) (* 1/2 (/ 1 (sqrt -1)))) u1)))))
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#s(approx (/ u1 (- 1 u1)) #s(hole binary32 (- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)))
#s(approx (- 1 u1) #s(hole binary32 (* -1 (* u1 (- 1 (/ 1 u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (* -1 (/ (+ (* 1/2 (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* u1 (sqrt -1))))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))))
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#s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) #s(hole binary32 (+ (* -98696044010906577398881/5000000000000000000000 (sqrt -1)) (+ (* -1 (/ (- (+ (* -1 (/ (+ (* -9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 (/ (* (pow u2 2) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (sqrt -1))) (+ (* -1 (/ (+ (* -98696044010906577398881/10000000000000000000000 (/ (- 1 (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (sqrt -1))) (* 9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 (/ (* (pow u2 2) (- 1 (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (sqrt -1)))) u1)) (* 98696044010906577398881/10000000000000000000000 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1))))) u1)) (* 9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 (/ (pow u2 2) (sqrt -1)))) (* 98696044010906577398881/10000000000000000000000 (/ 1 (sqrt -1)))) u1)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt -1)))))))
#s(approx (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (+ (* -98696044010906577398881/5000000000000000000000 (sqrt -1)) (* -1 (/ (- (* -98696044010906577398881/10000000000000000000000 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* u1 (sqrt -1)))) (* 98696044010906577398881/10000000000000000000000 (/ 1 (sqrt -1)))) u1)))))
#s(approx (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (+ (* -98696044010906577398881/5000000000000000000000 (sqrt -1)) (* -1 (/ (- (* -1 (/ (+ (* 98696044010906577398881/10000000000000000000000 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1))) (* 98696044010906577398881/10000000000000000000000 (/ (- 1 (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* u1 (sqrt -1))))) u1)) (* 98696044010906577398881/10000000000000000000000 (/ 1 (sqrt -1)))) u1)))))
#s(approx (* (+ (* (+ 1 u1) u1) 1) u1) #s(hole binary32 (* -1 (* (pow u1 3) (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2)))) #s(hole binary32 (* (sin (* 1/2 (PI))) (sqrt (/ u1 (- 1 u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2)))) #s(hole binary32 (+ (* 314159265359/50000000000 (* u2 (* (cos (* 1/2 (PI))) (sqrt (/ u1 (- 1 u1)))))) (* (sin (* 1/2 (PI))) (sqrt (/ u1 (- 1 u1)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2)))) #s(hole binary32 (+ (* u2 (+ (* -98696044010906577398881/5000000000000000000000 (* u2 (* (sin (* 1/2 (PI))) (sqrt (/ u1 (- 1 u1)))))) (* 314159265359/50000000000 (* (cos (* 1/2 (PI))) (sqrt (/ u1 (- 1 u1))))))) (* (sin (* 1/2 (PI))) (sqrt (/ u1 (- 1 u1)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2)))) #s(hole binary32 (+ (* u2 (+ (* 314159265359/50000000000 (* (cos (* 1/2 (PI))) (sqrt (/ u1 (- 1 u1))))) (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* u2 (* (cos (* 1/2 (PI))) (sqrt (/ u1 (- 1 u1)))))) (* -98696044010906577398881/5000000000000000000000 (* (sin (* 1/2 (PI))) (sqrt (/ u1 (- 1 u1))))))))) (* (sin (* 1/2 (PI))) (sqrt (/ u1 (- 1 u1)))))))
#s(approx (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2))) #s(hole binary32 (sin (* 1/2 (PI)))))
#s(approx (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2))) #s(hole binary32 (+ (sin (* 1/2 (PI))) (* 314159265359/50000000000 (* u2 (cos (* 1/2 (PI))))))))
#s(approx (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2))) #s(hole binary32 (+ (sin (* 1/2 (PI))) (* u2 (+ (* -98696044010906577398881/5000000000000000000000 (* u2 (sin (* 1/2 (PI))))) (* 314159265359/50000000000 (cos (* 1/2 (PI)))))))))
#s(approx (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2))) #s(hole binary32 (+ (sin (* 1/2 (PI))) (* u2 (+ (* 314159265359/50000000000 (cos (* 1/2 (PI)))) (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* u2 (cos (* 1/2 (PI))))) (* -98696044010906577398881/5000000000000000000000 (sin (* 1/2 (PI)))))))))))
#s(approx (+ (* u2 314159265359/50000000000) (/ (PI) 2)) #s(hole binary32 (* 1/2 (PI))))
#s(approx (+ (* u2 314159265359/50000000000) (/ (PI) 2)) #s(hole binary32 (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))))
#s(approx u2 #s(hole binary32 u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (sqrt (/ u1 (- 1 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt (/ u1 (- 1 u1))))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ u1 (- 1 u1))))))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ u1 (- 1 u1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))))))))
#s(approx (cos (* 314159265359/50000000000 u2)) #s(hole binary32 (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))))
#s(approx (cos (* 314159265359/50000000000 u2)) #s(hole binary32 (+ 1 (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))))
#s(approx (cos (* 314159265359/50000000000 u2)) #s(hole binary32 (+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)))))
#s(approx (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) 98696044010906577398881/5000000000000000000000) #s(hole binary32 -98696044010906577398881/5000000000000000000000))
#s(approx (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) 98696044010906577398881/5000000000000000000000) #s(hole binary32 (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))
#s(approx (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) #s(hole binary32 (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2))))
#s(approx (* u2 u2) #s(hole binary32 (pow u2 2)))
#s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) #s(hole binary32 (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))))
#s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) #s(hole binary32 (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ u1 (- 1 u1))))))))
#s(approx (* 314159265359/50000000000 u2) #s(hole binary32 (* 314159265359/50000000000 u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2)))) #s(hole binary32 (* (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))))))
#s(approx (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2))) #s(hole binary32 (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2)))))
#s(approx (+ (* u2 314159265359/50000000000) (/ (PI) 2)) #s(hole binary32 (* u2 (+ 314159265359/50000000000 (* 1/2 (/ (PI) u2))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (* (cos (* 314159265359/50000000000 u2)) (sqrt (/ u1 (- 1 u1))))))
#s(approx (cos (* 314159265359/50000000000 u2)) #s(hole binary32 (cos (* 314159265359/50000000000 u2))))
#s(approx (+ (* (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) 98696044010906577398881/5000000000000000000000) (* u2 u2)) 1) #s(hole binary32 (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 4))))
#s(approx (+ (* (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) 98696044010906577398881/5000000000000000000000) (* u2 u2)) 1) #s(hole binary32 (* (pow u2 4) (- 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* 98696044010906577398881/5000000000000000000000 (/ 1 (pow u2 2)))))))
#s(approx (+ (* (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) 98696044010906577398881/5000000000000000000000) (* u2 u2)) 1) #s(hole binary32 (* (pow u2 4) (- (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 4))) (* 98696044010906577398881/5000000000000000000000 (/ 1 (pow u2 2)))))))
#s(approx (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) 98696044010906577398881/5000000000000000000000) #s(hole binary32 (* (pow u2 2) (- 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* 98696044010906577398881/5000000000000000000000 (/ 1 (pow u2 2)))))))
#s(approx (+ (* (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 4) (sqrt (/ u1 (- 1 u1)))))))
#s(approx (+ (* (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (* (pow u2 4) (+ (* -98696044010906577398881/5000000000000000000000 (/ (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))))
#s(approx (+ (* (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (* (pow u2 4) (+ (* -98696044010906577398881/5000000000000000000000 (/ (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (+ (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (/ (sqrt (/ u1 (- 1 u1))) (pow u2 4)))))))
#s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) #s(hole binary32 (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ u1 (- 1 u1)))))))
#s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) #s(hole binary32 (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (/ (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2)))) #s(hole binary32 (* (sin (- (* 1/2 (PI)) (* -314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))))))
#s(approx (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2))) #s(hole binary32 (sin (- (* 1/2 (PI)) (* -314159265359/50000000000 u2)))))
#s(approx (+ (* u2 314159265359/50000000000) (/ (PI) 2)) #s(hole binary32 (* -1 (* u2 (- (* -1/2 (/ (PI) u2)) 314159265359/50000000000)))))
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 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32))
(/.f32 (neg.f32 u1) (neg.f32 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
u1
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) u1))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 u1) u1)) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (*.f32 #s(literal 1 binary32) u1))))
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
(fma.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (cos.f32 (/.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sin.f32 (/.f32 (PI.f32) #s(literal 2 binary32)))))
(sin.f32 (fma.f32 #s(literal 314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32))))
(+.f32 (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (cos.f32 (/.f32 (PI.f32) #s(literal 2 binary32)))) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sin.f32 (/.f32 (PI.f32) #s(literal 2 binary32)))))
(cos.f32 (neg.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(/.f32 (-.f32 (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32)))) (-.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (/.f32 (PI.f32) #s(literal 2 binary32))))
(/.f32 (+.f32 (pow.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 3 binary32)) (pow.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) #s(literal 3 binary32))) (fma.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (-.f32 (*.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (/.f32 (PI.f32) #s(literal 2 binary32))))))
(fma.f32 #s(literal 314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))
(fma.f32 u2 #s(literal 314159265359/50000000000 binary32) (/.f32 (PI.f32) #s(literal 2 binary32)))
(+.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (/.f32 (PI.f32) #s(literal 2 binary32)))
(+.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
u2
#s(literal 314159265359/50000000000 binary32)
(/.f32 (neg.f32 (PI.f32)) #s(literal -2 binary32))
(/.f32 (PI.f32) #s(literal 2 binary32))
(PI.f32)
#s(literal 2 binary32)
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) u2) u2) #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 (*.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
#s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32)))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) u2) u2) (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) u2) u2))) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) u2) u2)))
(/.f32 (-.f32 (*.f32 (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) u2) u2) (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) u2) u2)) #s(literal 1 binary32)) (-.f32 (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) u2) u2) #s(literal 1 binary32)))
(/.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) u2) u2) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) u2) u2) (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) u2) u2)) (*.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) u2) u2)))))
(/.f32 (+.f32 (pow.f32 (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) u2) u2) #s(literal 3 binary32)) #s(literal 1 binary32)) (fma.f32 (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) u2) u2) (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) u2) u2) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) u2) u2) #s(literal 1 binary32)))))
(-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (*.f32 u2 u2)) (-.f32 (*.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32))))
(fma.f32 (*.f32 (-.f32 (*.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32))
(fma.f32 (-.f32 (*.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))
(fma.f32 (*.f32 u2 u2) (-.f32 (*.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))
(+.f32 (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) u2) u2) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) u2) u2))
(/.f32 (-.f32 (*.f32 (*.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) u2) u2) (*.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) u2) u2)) #s(literal 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 binary32)) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal 98696044010906577398881/5000000000000000000000 binary32)))
(/.f32 (-.f32 (pow.f32 (*.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) u2) u2) #s(literal 3 binary32)) #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/125000000000000000000000000000000000000000000000000000000000000000 binary32)) (fma.f32 (*.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) u2) u2) (*.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) u2) u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)))))
(-.f32 (*.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32))
(*.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) u2) u2)
(*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))
(*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2))
#s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)
(*.f32 (pow.f32 u2 #s(literal 1 binary32)) (pow.f32 u2 #s(literal 1 binary32)))
(*.f32 (fabs.f32 u2) (fabs.f32 u2))
(*.f32 (neg.f32 u2) (neg.f32 u2))
(*.f32 u2 u2)
(pow.f32 u2 #s(literal 2 binary32))
(exp.f32 (*.f32 (log.f32 u2) #s(literal 2 binary32)))
#s(literal 98696044010906577398881/5000000000000000000000 binary32)
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(fma.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (cos.f32 (/.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sin.f32 (/.f32 (PI.f32) #s(literal 2 binary32)))))
(sin.f32 (fma.f32 #s(literal 314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32))))
(+.f32 (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (cos.f32 (/.f32 (PI.f32) #s(literal 2 binary32)))) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sin.f32 (/.f32 (PI.f32) #s(literal 2 binary32)))))
(cos.f32 (neg.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 u1) (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (/.f32 (*.f32 (*.f32 u1 u1) (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) (sqrt.f32 u1)) #s(literal 1/2 binary32) (*.f32 (sqrt.f32 u1) (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 u1) (*.f32 (*.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 u1)) (*.f32 u1 (/.f32 (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 u1))))) (*.f32 u1 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 u1)) (*.f32 u1 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 (sqrt.f32 u1) (sqrt.f32 u1)))) (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) (sqrt.f32 u1))))) u1 (*.f32 (/.f32 (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 u1)) #s(literal 1/2 binary32))) (*.f32 u1 u1) (*.f32 (sqrt.f32 u1) (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))))
#s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))
#s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (/.f32 (*.f32 u1 u1) (sqrt.f32 u1)) #s(literal 1/2 binary32) (sqrt.f32 u1)))
#s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (fma.f32 (/.f32 u1 (sqrt.f32 u1)) #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) (sqrt.f32 u1))) (*.f32 u1 u1) (sqrt.f32 u1)))
#s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (fma.f32 (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 (sqrt.f32 u1) (sqrt.f32 u1)))) u1) (sqrt.f32 u1)) #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) (sqrt.f32 u1))) u1 (/.f32 #s(literal 1/2 binary32) (sqrt.f32 u1))) (*.f32 u1 u1) (sqrt.f32 u1)))
#s(approx (/ u1 (- 1 u1)) u1)
#s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1))
#s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 (+.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) u1))
#s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 (fma.f32 (+.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32)) u1))
#s(approx (- 1 u1) #s(literal 1 binary32))
#s(approx (- 1 u1) (+.f32 (neg.f32 u1) #s(literal 1 binary32)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (/.f32 (*.f32 (*.f32 u1 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 u1)) #s(literal 1/2 binary32) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)) (*.f32 u1 (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1))))) (*.f32 u1 u1) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)) (*.f32 u1 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 (sqrt.f32 u1) (sqrt.f32 u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 u1))))) u1 (*.f32 (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)) #s(literal 1/2 binary32))) (*.f32 u1 u1) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))))
#s(approx (+ (* (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (fma.f32 (fma.f32 (sqrt.f32 u1) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 u1)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (*.f32 u2 u2) (sqrt.f32 u1)))
#s(approx (+ (* (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (+.f32 (fma.f32 (fma.f32 (-.f32 (/.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 u1)) (/.f32 #s(literal 98696044010906577398881/10000000000000000000000 binary32) (sqrt.f32 u1))) (*.f32 u2 u2) (/.f32 #s(literal 1/2 binary32) (sqrt.f32 u1))) (*.f32 u1 u1) (*.f32 (fma.f32 (sqrt.f32 u1) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 u1)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (*.f32 u2 u2))) (sqrt.f32 u1)))
#s(approx (+ (* (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (+.f32 (fma.f32 (+.f32 (fma.f32 (fma.f32 (-.f32 (/.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 u1)) (/.f32 #s(literal 98696044010906577398881/10000000000000000000000 binary32) (sqrt.f32 u1))) (*.f32 u2 u2) (/.f32 #s(literal 1/2 binary32) (sqrt.f32 u1))) u1 (*.f32 (-.f32 (/.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 u1)) (/.f32 #s(literal 98696044010906577398881/10000000000000000000000 binary32) (sqrt.f32 u1))) (*.f32 u2 u2))) (/.f32 #s(literal 1/2 binary32) (sqrt.f32 u1))) (*.f32 u1 u1) (*.f32 (fma.f32 (sqrt.f32 u1) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 u1)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (*.f32 u2 u2))) (sqrt.f32 u1)))
#s(approx (+ (* (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (+.f32 (fma.f32 (+.f32 (fma.f32 (+.f32 (fma.f32 (fma.f32 (fma.f32 (/.f32 (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 (sqrt.f32 u1) (sqrt.f32 u1))))) (sqrt.f32 u1)) #s(literal 9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 binary32) (*.f32 #s(literal -98696044010906577398881/10000000000000000000000 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 (sqrt.f32 u1) (sqrt.f32 u1)))) (sqrt.f32 u1)))) (*.f32 u2 u2) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 (sqrt.f32 u1) (sqrt.f32 u1)))) (sqrt.f32 u1)) #s(literal 1/2 binary32))) u1 (*.f32 (-.f32 (/.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 u1)) (/.f32 #s(literal 98696044010906577398881/10000000000000000000000 binary32) (sqrt.f32 u1))) (*.f32 u2 u2))) (/.f32 #s(literal 1/2 binary32) (sqrt.f32 u1))) u1 (*.f32 (-.f32 (/.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 u1)) (/.f32 #s(literal 98696044010906577398881/10000000000000000000000 binary32) (sqrt.f32 u1))) (*.f32 u2 u2))) (/.f32 #s(literal 1/2 binary32) (sqrt.f32 u1))) (*.f32 u1 u1) (*.f32 (fma.f32 (sqrt.f32 u1) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 u1)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (*.f32 u2 u2))) (sqrt.f32 u1)))
#s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (fma.f32 (sqrt.f32 u1) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 u1)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))))
#s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (fma.f32 (sqrt.f32 u1) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (fma.f32 (-.f32 (/.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 u1)) (/.f32 #s(literal 98696044010906577398881/10000000000000000000000 binary32) (sqrt.f32 u1))) (*.f32 u1 u1) (*.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 u1)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))
#s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (fma.f32 (sqrt.f32 u1) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (fma.f32 (-.f32 (fma.f32 (-.f32 (/.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 u1)) (/.f32 #s(literal 98696044010906577398881/10000000000000000000000 binary32) (sqrt.f32 u1))) u1 (/.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 u1))) (/.f32 #s(literal 98696044010906577398881/10000000000000000000000 binary32) (sqrt.f32 u1))) (*.f32 u1 u1) (*.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 u1)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))
#s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (fma.f32 (sqrt.f32 u1) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (fma.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 u1)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 (-.f32 (fma.f32 (/.f32 (*.f32 u2 u2) (sqrt.f32 u1)) #s(literal 9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 binary32) (*.f32 (-.f32 (fma.f32 (fma.f32 (/.f32 (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 (sqrt.f32 u1) (sqrt.f32 u1))))) (sqrt.f32 u1)) #s(literal 9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 binary32) (*.f32 #s(literal -98696044010906577398881/10000000000000000000000 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 (sqrt.f32 u1) (sqrt.f32 u1)))) (sqrt.f32 u1)))) u1 (/.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 u1))) (/.f32 #s(literal 98696044010906577398881/10000000000000000000000 binary32) (sqrt.f32 u1))) u1)) (/.f32 #s(literal 98696044010906577398881/10000000000000000000000 binary32) (sqrt.f32 u1))) (*.f32 u1 u1)))))
#s(approx (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (*.f32 (sqrt.f32 u1) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))
#s(approx (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (fma.f32 #s(literal -98696044010906577398881/10000000000000000000000 binary32) (/.f32 (*.f32 u1 u1) (sqrt.f32 u1)) (*.f32 (sqrt.f32 u1) #s(literal -98696044010906577398881/5000000000000000000000 binary32))))
#s(approx (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (fma.f32 (-.f32 (*.f32 (/.f32 u1 (sqrt.f32 u1)) #s(literal -98696044010906577398881/10000000000000000000000 binary32)) (/.f32 #s(literal 98696044010906577398881/10000000000000000000000 binary32) (sqrt.f32 u1))) (*.f32 u1 u1) (*.f32 (sqrt.f32 u1) #s(literal -98696044010906577398881/5000000000000000000000 binary32))))
#s(approx (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (fma.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -98696044010906577398881/10000000000000000000000 binary32) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 (sqrt.f32 u1) (sqrt.f32 u1)))) u1) (sqrt.f32 u1))) (/.f32 #s(literal 98696044010906577398881/10000000000000000000000 binary32) (sqrt.f32 u1))) u1) (/.f32 #s(literal 98696044010906577398881/10000000000000000000000 binary32) (sqrt.f32 u1))) (*.f32 u1 u1) (*.f32 (sqrt.f32 u1) #s(literal -98696044010906577398881/5000000000000000000000 binary32))))
#s(approx (+ (* (+ 1 u1) u1) 1) (+.f32 #s(literal 1 binary32) u1))
#s(approx (+ (* (+ 1 u1) u1) 1) (fma.f32 (+.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (/.f32 (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) #s(literal -1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (/.f32 (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) #s(literal -1/2 binary32) (fma.f32 (*.f32 (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (/.f32 #s(literal 3/4 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 u1 u1)))) #s(literal -1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (/.f32 (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) #s(literal -1/2 binary32) (fma.f32 (*.f32 (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (/.f32 #s(literal 3/4 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 u1 u1)))) #s(literal -1/2 binary32) (fma.f32 (*.f32 (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (/.f32 #s(literal 5/8 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (*.f32 u1 u1) u1)))) #s(literal -1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))))))
#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 (sqrt.f32 #s(literal -1 binary32)) u1))))
#s(approx (sqrt (/ u1 (- 1 u1))) (-.f32 (+.f32 (/.f32 #s(literal -3/8 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 u1 u1))) (sqrt.f32 #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1))))
#s(approx (sqrt (/ u1 (- 1 u1))) (-.f32 (+.f32 (+.f32 (/.f32 #s(literal -5/16 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (*.f32 u1 u1) u1))) (/.f32 #s(literal -3/8 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 u1 u1)))) (sqrt.f32 #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1))))
#s(approx (/ u1 (- 1 u1)) #s(literal -1 binary32))
#s(approx (/ u1 (- 1 u1)) (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))))
#s(approx (/ u1 (- 1 u1)) (-.f32 (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)) #s(literal 1 binary32)))
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#s(approx (+ (* (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (+.f32 (fma.f32 (fma.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 u2 u2)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (*.f32 u2 u2) (neg.f32 (/.f32 (+.f32 (fma.f32 (-.f32 (/.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 #s(literal -1 binary32))) (/.f32 #s(literal 98696044010906577398881/10000000000000000000000 binary32) (sqrt.f32 #s(literal -1 binary32)))) (*.f32 u2 u2) (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) (neg.f32 (/.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 u2 u2) (/.f32 #s(literal 3/4 binary32) (sqrt.f32 #s(literal -1 binary32)))) #s(literal -9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 296088132032719732196643/40000000000000000000000 binary32) (sqrt.f32 #s(literal -1 binary32)))) (*.f32 u2 u2) (/.f32 #s(literal -3/8 binary32) (sqrt.f32 #s(literal -1 binary32)))) u1))) u1))) (sqrt.f32 #s(literal -1 binary32))))
#s(approx (+ (* (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (+.f32 (fma.f32 (fma.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 u2 u2)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (*.f32 u2 u2) (neg.f32 (/.f32 (+.f32 (neg.f32 (/.f32 (+.f32 (neg.f32 (/.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 u2 u2) (/.f32 #s(literal 5/8 binary32) (sqrt.f32 #s(literal -1 binary32)))) #s(literal 9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal -98696044010906577398881/16000000000000000000000 binary32) (sqrt.f32 #s(literal -1 binary32)))) (*.f32 u2 u2) (/.f32 #s(literal 5/16 binary32) (sqrt.f32 #s(literal -1 binary32)))) u1)) (fma.f32 (fma.f32 (*.f32 (*.f32 u2 u2) (/.f32 #s(literal 3/4 binary32) (sqrt.f32 #s(literal -1 binary32)))) #s(literal -9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 296088132032719732196643/40000000000000000000000 binary32) (sqrt.f32 #s(literal -1 binary32)))) (*.f32 u2 u2) (/.f32 #s(literal -3/8 binary32) (sqrt.f32 #s(literal -1 binary32))))) u1)) (fma.f32 (-.f32 (/.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 #s(literal -1 binary32))) (/.f32 #s(literal 98696044010906577398881/10000000000000000000000 binary32) (sqrt.f32 #s(literal -1 binary32)))) (*.f32 u2 u2) (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))))) u1))) (sqrt.f32 #s(literal -1 binary32))))
#s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (fma.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (fma.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 u2 u2)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (neg.f32 (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 #s(literal -1 binary32))) (/.f32 #s(literal 98696044010906577398881/10000000000000000000000 binary32) (sqrt.f32 #s(literal -1 binary32)))) u1)))))
#s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (fma.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (fma.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 u2 u2)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (neg.f32 (/.f32 (-.f32 (fma.f32 (/.f32 (*.f32 u2 u2) (sqrt.f32 #s(literal -1 binary32))) #s(literal 9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 binary32) (neg.f32 (/.f32 (fma.f32 (*.f32 (*.f32 u2 u2) (/.f32 #s(literal 3/4 binary32) (sqrt.f32 #s(literal -1 binary32)))) #s(literal -9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 296088132032719732196643/40000000000000000000000 binary32) (sqrt.f32 #s(literal -1 binary32)))) u1))) (/.f32 #s(literal 98696044010906577398881/10000000000000000000000 binary32) (sqrt.f32 #s(literal -1 binary32)))) u1)))))
#s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (fma.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (fma.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 u2 u2)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (neg.f32 (/.f32 (-.f32 (fma.f32 (/.f32 (*.f32 u2 u2) (sqrt.f32 #s(literal -1 binary32))) #s(literal 9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 binary32) (neg.f32 (/.f32 (fma.f32 (*.f32 (*.f32 u2 u2) (/.f32 #s(literal 3/4 binary32) (sqrt.f32 #s(literal -1 binary32)))) #s(literal -9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 binary32) (+.f32 (neg.f32 (/.f32 (fma.f32 (*.f32 (*.f32 u2 u2) (/.f32 #s(literal 5/8 binary32) (sqrt.f32 #s(literal -1 binary32)))) #s(literal 9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal -98696044010906577398881/16000000000000000000000 binary32) (sqrt.f32 #s(literal -1 binary32)))) u1)) (/.f32 #s(literal 296088132032719732196643/40000000000000000000000 binary32) (sqrt.f32 #s(literal -1 binary32))))) u1))) (/.f32 #s(literal 98696044010906577398881/10000000000000000000000 binary32) (sqrt.f32 #s(literal -1 binary32)))) u1)))))
#s(approx (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (fma.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (neg.f32 (/.f32 (-.f32 (/.f32 #s(literal -296088132032719732196643/40000000000000000000000 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) (/.f32 #s(literal 98696044010906577398881/10000000000000000000000 binary32) (sqrt.f32 #s(literal -1 binary32)))) u1))))
#s(approx (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (fma.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 98696044010906577398881/16000000000000000000000 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) (/.f32 #s(literal 296088132032719732196643/40000000000000000000000 binary32) (sqrt.f32 #s(literal -1 binary32)))) u1)) (/.f32 #s(literal 98696044010906577398881/10000000000000000000000 binary32) (sqrt.f32 #s(literal -1 binary32)))) u1))))
#s(approx (* (+ (* (+ 1 u1) u1) 1) u1) (neg.f32 (*.f32 (-.f32 (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)) #s(literal 1 binary32)) (*.f32 (*.f32 u1 u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.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))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.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)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 (*.f32 (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2) (*.f32 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))) u2 (*.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))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 (*.f32 (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (fma.f32 (*.f32 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) (*.f32 (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))) u2)) u2 (*.f32 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
#s(approx (cos (* 314159265359/50000000000 u2)) (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))))
#s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))))
#s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (fma.f32 (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2) (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))))) u2 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))))
#s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (fma.f32 (fma.f32 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))))) u2 (*.f32 (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 314159265359/50000000000 binary32))) u2 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))))
#s(approx (+ (* u2 314159265359/50000000000) (/ (PI) 2)) (*.f32 #s(literal 1/2 binary32) (PI.f32)))
#s(approx (+ (* u2 314159265359/50000000000) (/ (PI) 2)) (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#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))) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#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))) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #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 (fma.f32 (fma.f32 (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (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))))) (*.f32 u2 u2) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))
#s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32)))
#s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.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)))
#s(approx (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) 98696044010906577398881/5000000000000000000000) #s(literal -98696044010906577398881/5000000000000000000000 binary32))
#s(approx (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) 98696044010906577398881/5000000000000000000000) (-.f32 (*.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)))
#s(approx (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (*.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) u2) u2))
#s(approx (* u2 u2) (*.f32 u2 u2))
#s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))))
#s(approx (* 314159265359/50000000000 u2) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sin.f32 (fma.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 (cos (* 314159265359/50000000000 u2)) (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
#s(approx (+ (* u2 314159265359/50000000000) (/ (PI) 2)) (*.f32 (fma.f32 (/.f32 (PI.f32) u2) #s(literal 1/2 binary32) #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 (+ (* (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) 98696044010906577398881/5000000000000000000000) (* u2 u2)) 1) (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))
#s(approx (+ (* (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) 98696044010906577398881/5000000000000000000000) (* u2 u2)) 1) (*.f32 (-.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2))))
#s(approx (+ (* (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) 98696044010906577398881/5000000000000000000000) (* u2 u2)) 1) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2))) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (/.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2))))
#s(approx (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) 98696044010906577398881/5000000000000000000000) (*.f32 (-.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))) (*.f32 u2 u2)))
#s(approx (+ (* (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (*.f32 (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (+ (* (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (*.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 u2)) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2))))
#s(approx (+ (* (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (*.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 u2)) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (/.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2))))) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2))))
#s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (*.f32 (*.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) u2) u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (*.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 u2)) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 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 (sin.f32 (fma.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 (cos (* 314159265359/50000000000 u2)) (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
#s(approx (+ (* u2 314159265359/50000000000) (/ (PI) 2)) (neg.f32 (*.f32 (-.f32 (*.f32 (/.f32 (PI.f32) u2) #s(literal -1/2 binary32)) #s(literal 314159265359/50000000000 binary32)) u2)))

eval36.0ms (0.9%)

Memory
23.9MiB live, 68.1MiB allocated; 10ms collecting garbage
Compiler

Compiled 13 258 to 1 391 computations (89.5% saved)

prune52.0ms (1.3%)

Memory
-9.9MiB live, 75.9MiB allocated; 24ms collecting garbage
Pruning

44 alts after pruning (41 fresh and 3 done)

PrunedKeptTotal
New26534299
Fresh3710
Picked325
Done011
Total27144315
Accuracy
99.5%
Counts
315 → 44
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.2%
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
91.0%
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
91.4%
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
98.5%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (cos.f32 (/.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sin.f32 (/.f32 (PI.f32) #s(literal 2 binary32))))))
98.1%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (/.f32 (-.f32 (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32)))) (-.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (/.f32 (PI.f32) #s(literal 2 binary32))))))
98.6%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 #s(approx (+ (* u2 314159265359/50000000000) (/ (PI) 2)) (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))))
98.5%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 #s(approx (+ (* u2 314159265359/50000000000) (/ (PI) 2)) (*.f32 (fma.f32 (/.f32 (PI.f32) u2) #s(literal 1/2 binary32) #s(literal 314159265359/50000000000 binary32)) u2))))
98.7%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
93.5%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.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))))
91.5%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
91.5%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (-.f32 (*.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32))))
88.3%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
91.5%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (*.f32 u2 u2)) (-.f32 (*.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32))))))
91.5%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (+.f32 (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) u2) u2) #s(literal 1 binary32))))
5.3%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(approx (+ (* (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) 98696044010906577398881/5000000000000000000000) (* u2 u2)) 1) (*.f32 (-.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2))))))
98.5%
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))) (sin.f32 (fma.f32 u2 #s(literal 314159265359/50000000000 binary32) (/.f32 (PI.f32) #s(literal 2 binary32)))))
91.4%
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
87.3%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 (fma.f32 (+.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
92.1%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 (+.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
88.1%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
82.3%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
92.0%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 #s(approx (+ (* (+ 1 u1) u1) 1) (*.f32 (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (*.f32 u1 u1))) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
91.7%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) #s(approx (* (+ (* (+ 1 u1) u1) 1) u1) (neg.f32 (*.f32 (-.f32 (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)) #s(literal 1 binary32)) (*.f32 (*.f32 u1 u1) u1)))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
74.8%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) (sin.f32 (fma.f32 u2 #s(literal 314159265359/50000000000 binary32) (/.f32 (PI.f32) #s(literal 2 binary32)))))
75.0%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
70.0%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
82.5%
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (/.f32 (*.f32 u1 u1) (sqrt.f32 u1)) #s(literal 1/2 binary32) (sqrt.f32 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
93.6%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (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))))) (*.f32 u2 u2) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
69.9%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)))) (*.f32 u2 u2) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1))))
91.6%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) u2) u2 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
88.3%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
89.3%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 #s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (fma.f32 (sqrt.f32 u1) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 u1)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
88.3%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 #s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
77.8%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
74.8%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 u1) (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))))
78.1%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) u1)))))
78.1%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
78.0%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))))
75.3%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 (fma.f32 (+.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32)) u1))))
72.0%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1))))
63.2%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)))
69.9%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (+ (* (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (fma.f32 (fma.f32 (sqrt.f32 u1) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 u1)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (*.f32 u2 u2) (sqrt.f32 u1))))
90.8%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (+ (* (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (*.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 u2)) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (/.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2))))) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)))))
72.2%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (/.f32 (*.f32 u1 u1) (sqrt.f32 u1)) #s(literal 1/2 binary32) (sqrt.f32 u1))))
Compiler

Compiled 2 605 to 1 761 computations (32.4% saved)

series93.0ms (2.4%)

Memory
-2.6MiB live, 45.2MiB allocated; 77ms collecting garbage
Counts
37 → 126
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 #s(approx (+ (* u2 314159265359/50000000000) (/ (PI) 2)) (fma.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)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
u1
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
(sin.f32 #s(approx (+ (* u2 314159265359/50000000000) (/ (PI) 2)) (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
#s(approx (+ (* u2 314159265359/50000000000) (/ (PI) 2)) (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
#s(literal 1/2 binary32)
(PI.f32)
(*.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)) u1)))
(sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1))
#s(approx (/ u1 (- 1 u1)) u1)
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 #s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(fma.f32 #s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
#s(literal -98696044010906577398881/5000000000000000000000 binary32)
(*.f32 u2 u2)
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 #s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (fma.f32 (sqrt.f32 u1) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 u1)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(fma.f32 #s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (fma.f32 (sqrt.f32 u1) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 u1)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (fma.f32 (sqrt.f32 u1) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 u1)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))))
(fma.f32 (sqrt.f32 u1) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 u1)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))
(sqrt.f32 u1)
(*.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 u1)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))
(*.f32 (*.f32 u2 u2) (sqrt.f32 u1))
#s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1)))
#s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1))
(*.f32 (+.f32 #s(literal 1 binary32) u1) u1)
(+.f32 #s(literal 1 binary32) u1)
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
Outputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2)))) #s(hole binary32 (* (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2)))) #s(hole binary32 (+ (* 1/2 (/ (* (pow u1 2) (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2)))) (sqrt u1))) (* (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2)))) #s(hole binary32 (+ (* (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt u1)) (* (pow u1 2) (+ (* 1/2 (/ (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt u1))) (* 1/2 (/ (* u1 (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2)))) (sqrt u1))))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2)))) #s(hole binary32 (+ (* (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt u1)) (* (pow u1 2) (+ (* 1/2 (/ (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt u1))) (* u1 (+ (* 1/2 (/ (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt u1))) (* 1/2 (/ (* u1 (* (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (- 1 (* 1/4 (/ 1 (pow (sqrt u1) 2)))))) (sqrt u1))))))))))
#s(approx (sqrt (/ u1 (- 1 u1))) #s(hole binary32 (sqrt u1)))
#s(approx (sqrt (/ u1 (- 1 u1))) #s(hole binary32 (+ (sqrt u1) (* 1/2 (/ (pow u1 2) (sqrt u1))))))
#s(approx (sqrt (/ u1 (- 1 u1))) #s(hole binary32 (+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (/ u1 (sqrt u1))) (* 1/2 (/ 1 (sqrt u1))))))))
#s(approx (sqrt (/ u1 (- 1 u1))) #s(hole binary32 (+ (sqrt u1) (* (pow u1 2) (+ (* u1 (+ (* 1/2 (/ (* u1 (- 1 (* 1/4 (/ 1 (pow (sqrt u1) 2))))) (sqrt u1))) (* 1/2 (/ 1 (sqrt u1))))) (* 1/2 (/ 1 (sqrt u1))))))))
#s(approx (/ u1 (- 1 u1)) #s(hole binary32 u1))
#s(approx (/ u1 (- 1 u1)) #s(hole binary32 (* u1 (+ 1 u1))))
#s(approx (/ u1 (- 1 u1)) #s(hole binary32 (* u1 (+ 1 (* u1 (+ 1 u1))))))
#s(approx (/ u1 (- 1 u1)) #s(hole binary32 (* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))))
#s(approx (- 1 u1) #s(hole binary32 1))
#s(approx (- 1 u1) #s(hole binary32 (+ 1 (* -1 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (* (cos (* 314159265359/50000000000 u2)) (sqrt u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (* 1/2 (/ (* (pow u1 2) (cos (* 314159265359/50000000000 u2))) (sqrt u1))) (* (cos (* 314159265359/50000000000 u2)) (sqrt u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (* (cos (* 314159265359/50000000000 u2)) (sqrt u1)) (* (pow u1 2) (+ (* 1/2 (/ (cos (* 314159265359/50000000000 u2)) (sqrt u1))) (* 1/2 (/ (* u1 (cos (* 314159265359/50000000000 u2))) (sqrt u1))))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (* (cos (* 314159265359/50000000000 u2)) (sqrt u1)) (* (pow u1 2) (+ (* 1/2 (/ (cos (* 314159265359/50000000000 u2)) (sqrt u1))) (* u1 (+ (* 1/2 (/ (cos (* 314159265359/50000000000 u2)) (sqrt u1))) (* 1/2 (/ (* u1 (* (cos (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 (pow (sqrt u1) 2)))))) (sqrt u1))))))))))
#s(approx (+ (* (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (+ (sqrt u1) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt u1)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt u1))))))))
#s(approx (+ (* (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (+ (sqrt u1) (+ (* (pow u1 2) (+ (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 (/ (pow u2 2) (sqrt u1))) (* 98696044010906577398881/10000000000000000000000 (/ 1 (sqrt u1))))) (* 1/2 (/ 1 (sqrt u1))))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt u1)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt u1)))))))))
#s(approx (+ (* (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (+ (sqrt u1) (+ (* (pow u1 2) (+ (* 1/2 (/ 1 (sqrt u1))) (+ (* u1 (+ (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 (/ (pow u2 2) (sqrt u1))) (* 98696044010906577398881/10000000000000000000000 (/ 1 (sqrt u1))))) (* 1/2 (/ 1 (sqrt u1))))) (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 (/ (pow u2 2) (sqrt u1))) (* 98696044010906577398881/10000000000000000000000 (/ 1 (sqrt u1)))))))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt u1)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt u1)))))))))
#s(approx (+ (* (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (+ (sqrt u1) (+ (* (pow u1 2) (+ (* 1/2 (/ 1 (sqrt u1))) (+ (* u1 (+ (* 1/2 (/ 1 (sqrt u1))) (+ (* u1 (+ (* 1/2 (/ (- 1 (* 1/4 (/ 1 (pow (sqrt u1) 2)))) (sqrt u1))) (* (pow u2 2) (+ (* -98696044010906577398881/10000000000000000000000 (/ (- 1 (* 1/4 (/ 1 (pow (sqrt u1) 2)))) (sqrt u1))) (* 9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 (/ (* (pow u2 2) (- 1 (* 1/4 (/ 1 (pow (sqrt u1) 2))))) (sqrt u1))))))) (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 (/ (pow u2 2) (sqrt u1))) (* 98696044010906577398881/10000000000000000000000 (/ 1 (sqrt u1)))))))) (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 (/ (pow u2 2) (sqrt u1))) (* 98696044010906577398881/10000000000000000000000 (/ 1 (sqrt u1)))))))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt u1)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt u1)))))))))
#s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) #s(hole binary32 (+ (* -98696044010906577398881/5000000000000000000000 (sqrt u1)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt u1))))))
#s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) #s(hole binary32 (+ (* -98696044010906577398881/5000000000000000000000 (sqrt u1)) (+ (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt u1))) (* (pow u1 2) (- (* 9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 (/ (pow u2 2) (sqrt u1))) (* 98696044010906577398881/10000000000000000000000 (/ 1 (sqrt u1)))))))))
#s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) #s(hole binary32 (+ (* -98696044010906577398881/5000000000000000000000 (sqrt u1)) (+ (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt u1))) (* (pow u1 2) (- (+ (* 9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 (/ (pow u2 2) (sqrt u1))) (* u1 (- (* 9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 (/ (pow u2 2) (sqrt u1))) (* 98696044010906577398881/10000000000000000000000 (/ 1 (sqrt u1)))))) (* 98696044010906577398881/10000000000000000000000 (/ 1 (sqrt u1)))))))))
#s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) #s(hole binary32 (+ (* -98696044010906577398881/5000000000000000000000 (sqrt u1)) (+ (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt u1))) (* (pow u1 2) (- (+ (* 9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 (/ (pow u2 2) (sqrt u1))) (* u1 (- (+ (* 9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 (/ (pow u2 2) (sqrt u1))) (* u1 (+ (* -98696044010906577398881/10000000000000000000000 (/ (- 1 (* 1/4 (/ 1 (pow (sqrt u1) 2)))) (sqrt u1))) (* 9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 (/ (* (pow u2 2) (- 1 (* 1/4 (/ 1 (pow (sqrt u1) 2))))) (sqrt u1)))))) (* 98696044010906577398881/10000000000000000000000 (/ 1 (sqrt u1)))))) (* 98696044010906577398881/10000000000000000000000 (/ 1 (sqrt u1)))))))))
#s(approx (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (* -98696044010906577398881/5000000000000000000000 (sqrt u1))))
#s(approx (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (+ (* -98696044010906577398881/5000000000000000000000 (sqrt u1)) (* -98696044010906577398881/10000000000000000000000 (/ (pow u1 2) (sqrt u1))))))
#s(approx (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (+ (* -98696044010906577398881/5000000000000000000000 (sqrt u1)) (* (pow u1 2) (- (* -98696044010906577398881/10000000000000000000000 (/ u1 (sqrt u1))) (* 98696044010906577398881/10000000000000000000000 (/ 1 (sqrt u1))))))))
#s(approx (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (+ (* -98696044010906577398881/5000000000000000000000 (sqrt u1)) (* (pow u1 2) (- (* u1 (- (* -98696044010906577398881/10000000000000000000000 (/ (* u1 (- 1 (* 1/4 (/ 1 (pow (sqrt u1) 2))))) (sqrt u1))) (* 98696044010906577398881/10000000000000000000000 (/ 1 (sqrt u1))))) (* 98696044010906577398881/10000000000000000000000 (/ 1 (sqrt u1))))))))
#s(approx (* (* (* u2 u2) (sqrt u1)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) #s(hole binary32 (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt u1)))))
#s(approx (* (* u2 u2) (sqrt u1)) #s(hole binary32 (* (pow u2 2) (sqrt u1))))
#s(approx (+ 1 u1) #s(hole binary32 (+ 1 u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2)))) #s(hole binary32 (* (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2)))) #s(hole binary32 (+ (* -1/2 (/ (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (* u1 (sqrt -1)))) (* (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2)))) #s(hole binary32 (+ (* -1/2 (/ (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2)))) #s(hole binary32 (+ (* -1/2 (/ (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1)))))))
#s(approx (sqrt (/ u1 (- 1 u1))) #s(hole binary32 (sqrt -1)))
#s(approx (sqrt (/ u1 (- 1 u1))) #s(hole binary32 (- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))))
#s(approx (sqrt (/ u1 (- 1 u1))) #s(hole binary32 (- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1))))))
#s(approx (sqrt (/ u1 (- 1 u1))) #s(hole binary32 (- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1))))))
#s(approx (/ u1 (- 1 u1)) #s(hole binary32 -1))
#s(approx (/ u1 (- 1 u1)) #s(hole binary32 (* -1 (+ 1 (/ 1 u1)))))
#s(approx (/ u1 (- 1 u1)) #s(hole binary32 (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)))
#s(approx (/ u1 (- 1 u1)) #s(hole binary32 (- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))))
#s(approx (- 1 u1) #s(hole binary32 (* -1 u1)))
#s(approx (- 1 u1) #s(hole binary32 (* u1 (- (/ 1 u1) 1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))
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#s(approx (sqrt u1) #s(hole binary32 (* u1 (sqrt (/ 1 u1)))))
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#s(approx (* (* u2 u2) (sqrt u1)) #s(hole binary32 (* u1 (* (pow u2 2) (sqrt (/ 1 u1))))))
#s(approx (* (+ 1 u1) u1) #s(hole binary32 (pow u1 2)))
#s(approx (* (+ 1 u1) u1) #s(hole binary32 (* (pow u1 2) (+ 1 (/ 1 u1)))))
#s(approx (+ 1 u1) #s(hole binary32 (* u1 (+ 1 (/ 1 u1)))))
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#s(approx (- 1 u1) #s(hole binary32 (* -1 (* u1 (- 1 (/ 1 u1))))))
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#s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) #s(hole binary32 (+ (* -98696044010906577398881/5000000000000000000000 (sqrt -1)) (+ (* -1 (/ (- (+ (* -1 (/ (+ (* -9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 (/ (* (pow u2 2) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (sqrt -1))) (+ (* -1 (/ (+ (* -98696044010906577398881/10000000000000000000000 (/ (- 1 (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (sqrt -1))) (* 9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 (/ (* (pow u2 2) (- 1 (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (sqrt -1)))) u1)) (* 98696044010906577398881/10000000000000000000000 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1))))) u1)) (* 9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 (/ (pow u2 2) (sqrt -1)))) (* 98696044010906577398881/10000000000000000000000 (/ 1 (sqrt -1)))) u1)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt -1)))))))
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#s(approx (sqrt u1) #s(hole binary32 (* -1 (* u1 (sqrt (/ 1 u1))))))
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#s(approx (* (* u2 u2) (sqrt u1)) #s(hole binary32 (* -1 (* u1 (* (pow u2 2) (sqrt (/ 1 u1)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2)))) #s(hole binary32 (* (sin (* 1/2 (PI))) (sqrt (/ u1 (- 1 u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2)))) #s(hole binary32 (+ (* 314159265359/50000000000 (* u2 (* (cos (* 1/2 (PI))) (sqrt (/ u1 (- 1 u1)))))) (* (sin (* 1/2 (PI))) (sqrt (/ u1 (- 1 u1)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2)))) #s(hole binary32 (+ (* u2 (+ (* -98696044010906577398881/5000000000000000000000 (* u2 (* (sin (* 1/2 (PI))) (sqrt (/ u1 (- 1 u1)))))) (* 314159265359/50000000000 (* (cos (* 1/2 (PI))) (sqrt (/ u1 (- 1 u1))))))) (* (sin (* 1/2 (PI))) (sqrt (/ u1 (- 1 u1)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2)))) #s(hole binary32 (+ (* u2 (+ (* 314159265359/50000000000 (* (cos (* 1/2 (PI))) (sqrt (/ u1 (- 1 u1))))) (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* u2 (* (cos (* 1/2 (PI))) (sqrt (/ u1 (- 1 u1)))))) (* -98696044010906577398881/5000000000000000000000 (* (sin (* 1/2 (PI))) (sqrt (/ u1 (- 1 u1))))))))) (* (sin (* 1/2 (PI))) (sqrt (/ u1 (- 1 u1)))))))
#s(approx (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2))) #s(hole binary32 (sin (* 1/2 (PI)))))
#s(approx (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2))) #s(hole binary32 (+ (sin (* 1/2 (PI))) (* 314159265359/50000000000 (* u2 (cos (* 1/2 (PI))))))))
#s(approx (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2))) #s(hole binary32 (+ (sin (* 1/2 (PI))) (* u2 (+ (* -98696044010906577398881/5000000000000000000000 (* u2 (sin (* 1/2 (PI))))) (* 314159265359/50000000000 (cos (* 1/2 (PI)))))))))
#s(approx (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2))) #s(hole binary32 (+ (sin (* 1/2 (PI))) (* u2 (+ (* 314159265359/50000000000 (cos (* 1/2 (PI)))) (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* u2 (cos (* 1/2 (PI))))) (* -98696044010906577398881/5000000000000000000000 (sin (* 1/2 (PI)))))))))))
#s(approx (+ (* u2 314159265359/50000000000) (/ (PI) 2)) #s(hole binary32 (* 1/2 (PI))))
#s(approx (+ (* u2 314159265359/50000000000) (/ (PI) 2)) #s(hole binary32 (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))))
#s(approx (* 314159265359/50000000000 u2) #s(hole binary32 (* 314159265359/50000000000 u2)))
#s(approx u2 #s(hole binary32 u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (sqrt (/ u1 (- 1 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt (/ u1 (- 1 u1))))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ u1 (- 1 u1))))))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ u1 (- 1 u1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))))))))
#s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) #s(hole binary32 (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))))
#s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) #s(hole binary32 (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ u1 (- 1 u1))))))))
#s(approx (* u2 u2) #s(hole binary32 (pow u2 2)))
#s(approx (cos (* 314159265359/50000000000 u2)) #s(hole binary32 (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))))
#s(approx (cos (* 314159265359/50000000000 u2)) #s(hole binary32 (+ 1 (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))))
#s(approx (cos (* 314159265359/50000000000 u2)) #s(hole binary32 (+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2)))) #s(hole binary32 (* (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))))))
#s(approx (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2))) #s(hole binary32 (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2)))))
#s(approx (+ (* u2 314159265359/50000000000) (/ (PI) 2)) #s(hole binary32 (* u2 (+ 314159265359/50000000000 (* 1/2 (/ (PI) u2))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (* (cos (* 314159265359/50000000000 u2)) (sqrt (/ u1 (- 1 u1))))))
#s(approx (+ (* (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 4) (sqrt (/ u1 (- 1 u1)))))))
#s(approx (+ (* (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (* (pow u2 4) (+ (* -98696044010906577398881/5000000000000000000000 (/ (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))))
#s(approx (+ (* (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (* (pow u2 4) (+ (* -98696044010906577398881/5000000000000000000000 (/ (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (+ (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (/ (sqrt (/ u1 (- 1 u1))) (pow u2 4)))))))
#s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) #s(hole binary32 (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ u1 (- 1 u1)))))))
#s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) #s(hole binary32 (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (/ (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))))
#s(approx (+ (* (sqrt u1) -98696044010906577398881/5000000000000000000000) (* (* (* u2 u2) (sqrt u1)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000)) #s(hole binary32 (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (/ (sqrt u1) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt u1))))))
#s(approx (cos (* 314159265359/50000000000 u2)) #s(hole binary32 (cos (* 314159265359/50000000000 u2))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2)))) #s(hole binary32 (* (sin (- (* 1/2 (PI)) (* -314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))))))
#s(approx (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2))) #s(hole binary32 (sin (- (* 1/2 (PI)) (* -314159265359/50000000000 u2)))))
#s(approx (+ (* u2 314159265359/50000000000) (/ (PI) 2)) #s(hole binary32 (* -1 (* u2 (- (* -1/2 (/ (PI) u2)) 314159265359/50000000000)))))
Calls

9 calls:

TimeVariablePointExpression
72.0ms
u2
@-inf
((* (sqrt (/ u1 (- 1 u1))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2)))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) u1 (- 1 u1) 1 (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2))) (+ (* u2 314159265359/50000000000) (/ (PI) 2)) (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2)) 1/2 (PI) (* 314159265359/50000000000 u2) 314159265359/50000000000 u2 (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (+ (* (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) -98696044010906577398881/5000000000000000000000 (* u2 u2) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (+ (* (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (+ (* (sqrt u1) -98696044010906577398881/5000000000000000000000) (* (* (* u2 u2) (sqrt u1)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000)) (sqrt u1) (* (* (* u2 u2) (sqrt u1)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (* (* u2 u2) (sqrt u1)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (* (+ 1 u1) u1) (+ 1 u1) (cos (* 314159265359/50000000000 u2)))
5.0ms
u1
@inf
((* (sqrt (/ u1 (- 1 u1))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2)))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) u1 (- 1 u1) 1 (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2))) (+ (* u2 314159265359/50000000000) (/ (PI) 2)) (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2)) 1/2 (PI) (* 314159265359/50000000000 u2) 314159265359/50000000000 u2 (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (+ (* (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) -98696044010906577398881/5000000000000000000000 (* u2 u2) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (+ (* (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (+ (* (sqrt u1) -98696044010906577398881/5000000000000000000000) (* (* (* u2 u2) (sqrt u1)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000)) (sqrt u1) (* (* (* u2 u2) (sqrt u1)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (* (* u2 u2) (sqrt u1)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (* (+ 1 u1) u1) (+ 1 u1) (cos (* 314159265359/50000000000 u2)))
3.0ms
u2
@inf
((* (sqrt (/ u1 (- 1 u1))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2)))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) u1 (- 1 u1) 1 (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2))) (+ (* u2 314159265359/50000000000) (/ (PI) 2)) (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2)) 1/2 (PI) (* 314159265359/50000000000 u2) 314159265359/50000000000 u2 (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (+ (* (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) -98696044010906577398881/5000000000000000000000 (* u2 u2) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (+ (* (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (+ (* (sqrt u1) -98696044010906577398881/5000000000000000000000) (* (* (* u2 u2) (sqrt u1)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000)) (sqrt u1) (* (* (* u2 u2) (sqrt u1)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (* (* u2 u2) (sqrt u1)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (* (+ 1 u1) u1) (+ 1 u1) (cos (* 314159265359/50000000000 u2)))
3.0ms
u1
@-inf
((* (sqrt (/ u1 (- 1 u1))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2)))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) u1 (- 1 u1) 1 (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2))) (+ (* u2 314159265359/50000000000) (/ (PI) 2)) (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2)) 1/2 (PI) (* 314159265359/50000000000 u2) 314159265359/50000000000 u2 (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (+ (* (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) -98696044010906577398881/5000000000000000000000 (* u2 u2) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (+ (* (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (+ (* (sqrt u1) -98696044010906577398881/5000000000000000000000) (* (* (* u2 u2) (sqrt u1)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000)) (sqrt u1) (* (* (* u2 u2) (sqrt u1)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (* (* u2 u2) (sqrt u1)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (* (+ 1 u1) u1) (+ 1 u1) (cos (* 314159265359/50000000000 u2)))
2.0ms
u1
@0
((* (sqrt (/ u1 (- 1 u1))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2)))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) u1 (- 1 u1) 1 (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2))) (+ (* u2 314159265359/50000000000) (/ (PI) 2)) (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2)) 1/2 (PI) (* 314159265359/50000000000 u2) 314159265359/50000000000 u2 (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (+ (* (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) -98696044010906577398881/5000000000000000000000 (* u2 u2) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (+ (* (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (+ (* (sqrt u1) -98696044010906577398881/5000000000000000000000) (* (* (* u2 u2) (sqrt u1)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000)) (sqrt u1) (* (* (* u2 u2) (sqrt u1)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (* (* u2 u2) (sqrt u1)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (* (+ 1 u1) u1) (+ 1 u1) (cos (* 314159265359/50000000000 u2)))

rewrite247.0ms (6.3%)

Memory
41.9MiB live, 175.0MiB allocated; 37ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07386116
07784893
049154687
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
163 → 230
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 #s(approx (+ (* u2 314159265359/50000000000) (/ (PI) 2)) (fma.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)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
u1
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
(sin.f32 #s(approx (+ (* u2 314159265359/50000000000) (/ (PI) 2)) (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
#s(approx (+ (* u2 314159265359/50000000000) (/ (PI) 2)) (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
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#s(approx (sqrt u1) #s(hole binary32 (* u1 (sqrt (/ 1 u1)))))
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#s(approx (+ 1 u1) #s(hole binary32 (* u1 (+ 1 (/ 1 u1)))))
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#s(approx (sqrt u1) #s(hole binary32 (* -1 (* u1 (sqrt (/ 1 u1))))))
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#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2)))) #s(hole binary32 (* (sin (* 1/2 (PI))) (sqrt (/ u1 (- 1 u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2)))) #s(hole binary32 (+ (* 314159265359/50000000000 (* u2 (* (cos (* 1/2 (PI))) (sqrt (/ u1 (- 1 u1)))))) (* (sin (* 1/2 (PI))) (sqrt (/ u1 (- 1 u1)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2)))) #s(hole binary32 (+ (* u2 (+ (* -98696044010906577398881/5000000000000000000000 (* u2 (* (sin (* 1/2 (PI))) (sqrt (/ u1 (- 1 u1)))))) (* 314159265359/50000000000 (* (cos (* 1/2 (PI))) (sqrt (/ u1 (- 1 u1))))))) (* (sin (* 1/2 (PI))) (sqrt (/ u1 (- 1 u1)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2)))) #s(hole binary32 (+ (* u2 (+ (* 314159265359/50000000000 (* (cos (* 1/2 (PI))) (sqrt (/ u1 (- 1 u1))))) (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* u2 (* (cos (* 1/2 (PI))) (sqrt (/ u1 (- 1 u1)))))) (* -98696044010906577398881/5000000000000000000000 (* (sin (* 1/2 (PI))) (sqrt (/ u1 (- 1 u1))))))))) (* (sin (* 1/2 (PI))) (sqrt (/ u1 (- 1 u1)))))))
#s(approx (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2))) #s(hole binary32 (sin (* 1/2 (PI)))))
#s(approx (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2))) #s(hole binary32 (+ (sin (* 1/2 (PI))) (* 314159265359/50000000000 (* u2 (cos (* 1/2 (PI))))))))
#s(approx (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2))) #s(hole binary32 (+ (sin (* 1/2 (PI))) (* u2 (+ (* -98696044010906577398881/5000000000000000000000 (* u2 (sin (* 1/2 (PI))))) (* 314159265359/50000000000 (cos (* 1/2 (PI)))))))))
#s(approx (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2))) #s(hole binary32 (+ (sin (* 1/2 (PI))) (* u2 (+ (* 314159265359/50000000000 (cos (* 1/2 (PI)))) (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* u2 (cos (* 1/2 (PI))))) (* -98696044010906577398881/5000000000000000000000 (sin (* 1/2 (PI)))))))))))
#s(approx (+ (* u2 314159265359/50000000000) (/ (PI) 2)) #s(hole binary32 (* 1/2 (PI))))
#s(approx (+ (* u2 314159265359/50000000000) (/ (PI) 2)) #s(hole binary32 (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))))
#s(approx (* 314159265359/50000000000 u2) #s(hole binary32 (* 314159265359/50000000000 u2)))
#s(approx u2 #s(hole binary32 u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (sqrt (/ u1 (- 1 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt (/ u1 (- 1 u1))))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ u1 (- 1 u1))))))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ u1 (- 1 u1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))))))))
#s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) #s(hole binary32 (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))))
#s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) #s(hole binary32 (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ u1 (- 1 u1))))))))
#s(approx (* u2 u2) #s(hole binary32 (pow u2 2)))
#s(approx (cos (* 314159265359/50000000000 u2)) #s(hole binary32 (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))))
#s(approx (cos (* 314159265359/50000000000 u2)) #s(hole binary32 (+ 1 (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))))
#s(approx (cos (* 314159265359/50000000000 u2)) #s(hole binary32 (+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2)))) #s(hole binary32 (* (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))))))
#s(approx (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2))) #s(hole binary32 (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2)))))
#s(approx (+ (* u2 314159265359/50000000000) (/ (PI) 2)) #s(hole binary32 (* u2 (+ 314159265359/50000000000 (* 1/2 (/ (PI) u2))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (* (cos (* 314159265359/50000000000 u2)) (sqrt (/ u1 (- 1 u1))))))
#s(approx (+ (* (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 4) (sqrt (/ u1 (- 1 u1)))))))
#s(approx (+ (* (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (* (pow u2 4) (+ (* -98696044010906577398881/5000000000000000000000 (/ (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))))
#s(approx (+ (* (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (* (pow u2 4) (+ (* -98696044010906577398881/5000000000000000000000 (/ (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (+ (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (/ (sqrt (/ u1 (- 1 u1))) (pow u2 4)))))))
#s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) #s(hole binary32 (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ u1 (- 1 u1)))))))
#s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) #s(hole binary32 (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (/ (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))))
#s(approx (+ (* (sqrt u1) -98696044010906577398881/5000000000000000000000) (* (* (* u2 u2) (sqrt u1)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000)) #s(hole binary32 (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (/ (sqrt u1) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt u1))))))
#s(approx (cos (* 314159265359/50000000000 u2)) #s(hole binary32 (cos (* 314159265359/50000000000 u2))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2)))) #s(hole binary32 (* (sin (- (* 1/2 (PI)) (* -314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))))))
#s(approx (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2))) #s(hole binary32 (sin (- (* 1/2 (PI)) (* -314159265359/50000000000 u2)))))
#s(approx (+ (* u2 314159265359/50000000000) (/ (PI) 2)) #s(hole binary32 (* -1 (* u2 (- (* -1/2 (/ (PI) u2)) 314159265359/50000000000)))))
Outputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 #s(approx (+ (* u2 314159265359/50000000000) (/ (PI) 2)) (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))))
(*.f32 (sin.f32 #s(approx (+ (* u2 314159265359/50000000000) (/ (PI) 2)) (fma.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))))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32))
(/.f32 (neg.f32 u1) (neg.f32 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
u1
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) u1))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 u1) u1)) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (*.f32 #s(literal 1 binary32) u1))))
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
(sin.f32 #s(approx (+ (* u2 314159265359/50000000000) (/ (PI) 2)) (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
#s(approx (+ (* u2 314159265359/50000000000) (/ (PI) 2)) (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 (-.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)) (*.f32 #s(literal 1/2 binary32) (PI.f32))) (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (-.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 (-.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)) (*.f32 #s(literal 1/2 binary32) (PI.f32))) (*.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2) (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))
(/.f32 (+.f32 (pow.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)) #s(literal 3 binary32)) (pow.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 3 binary32))) (fma.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)) (*.f32 #s(literal 1/2 binary32) (PI.f32)) (-.f32 (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))))
(/.f32 (-.f32 (pow.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)) #s(literal 3 binary32)) (pow.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2) #s(literal 3 binary32))) (fma.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)) (*.f32 #s(literal 1/2 binary32) (PI.f32)) (fma.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2) (*.f32 #s(literal -314159265359/50000000000 binary32) u2) (*.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)) (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))))
(-.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)) (*.f32 #s(literal -314159265359/50000000000 binary32) u2))
(fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(fma.f32 (PI.f32) #s(literal 1/2 binary32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(fma.f32 #s(literal 314159265359/50000000000 binary32) u2 (*.f32 #s(literal 1/2 binary32) (PI.f32)))
(fma.f32 u2 #s(literal 314159265359/50000000000 binary32) (*.f32 #s(literal 1/2 binary32) (PI.f32)))
(+.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(+.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (*.f32 #s(literal 1/2 binary32) (PI.f32)))
#s(literal 1/2 binary32)
(PI.f32)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
#s(literal 314159265359/50000000000 binary32)
u2
#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))
(pow.f32 #s(approx (/ u1 (- 1 u1)) u1) #s(literal 1/2 binary32))
#s(approx (/ u1 (- 1 u1)) u1)
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 u2 u2) #s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(/.f32 (-.f32 (*.f32 (*.f32 (*.f32 u2 u2) #s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))) (*.f32 (*.f32 u2 u2) #s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (*.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))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (-.f32 (*.f32 (*.f32 u2 u2) #s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(/.f32 (+.f32 (pow.f32 (*.f32 (*.f32 u2 u2) #s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))) #s(literal 3 binary32)) (pow.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 3 binary32))) (fma.f32 (*.f32 (*.f32 u2 u2) #s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))) (*.f32 (*.f32 u2 u2) #s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))) (-.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 (*.f32 (*.f32 u2 u2) #s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))))
(fma.f32 (*.f32 #s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) u2) u2 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(fma.f32 (*.f32 u2 u2) #s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(fma.f32 #s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(+.f32 (*.f32 (*.f32 u2 u2) #s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(+.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 u2 u2) #s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))))
#s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(*.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))) #s(literal -98696044010906577398881/5000000000000000000000 binary32))
#s(literal -98696044010906577398881/5000000000000000000000 binary32)
(*.f32 (pow.f32 u2 #s(literal 1 binary32)) (pow.f32 u2 #s(literal 1 binary32)))
(*.f32 (fabs.f32 u2) (fabs.f32 u2))
(*.f32 (neg.f32 u2) (neg.f32 u2))
(*.f32 u2 u2)
(pow.f32 u2 #s(literal 2 binary32))
(exp.f32 (*.f32 (log.f32 u2) #s(literal 2 binary32)))
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#s(approx (+ (* (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (+.f32 (fma.f32 (+.f32 (fma.f32 (+.f32 (fma.f32 (fma.f32 (fma.f32 (/.f32 (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 (sqrt.f32 u1) (sqrt.f32 u1))))) (sqrt.f32 u1)) #s(literal 9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 binary32) (*.f32 #s(literal -98696044010906577398881/10000000000000000000000 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 (sqrt.f32 u1) (sqrt.f32 u1)))) (sqrt.f32 u1)))) (*.f32 u2 u2) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 (sqrt.f32 u1) (sqrt.f32 u1)))) (sqrt.f32 u1)) #s(literal 1/2 binary32))) u1 (*.f32 (-.f32 (/.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 u1)) (/.f32 #s(literal 98696044010906577398881/10000000000000000000000 binary32) (sqrt.f32 u1))) (*.f32 u2 u2))) (/.f32 #s(literal 1/2 binary32) (sqrt.f32 u1))) u1 (*.f32 (-.f32 (/.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 u1)) (/.f32 #s(literal 98696044010906577398881/10000000000000000000000 binary32) (sqrt.f32 u1))) (*.f32 u2 u2))) (/.f32 #s(literal 1/2 binary32) (sqrt.f32 u1))) (*.f32 u1 u1) (*.f32 (fma.f32 (sqrt.f32 u1) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 u1)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (*.f32 u2 u2))) (sqrt.f32 u1)))
#s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (fma.f32 (sqrt.f32 u1) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 u1)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))))
#s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (fma.f32 (sqrt.f32 u1) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (sqrt.f32 u1) (*.f32 (-.f32 (/.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 u1)) (/.f32 #s(literal 98696044010906577398881/10000000000000000000000 binary32) (sqrt.f32 u1))) (*.f32 u1 u1)))))
#s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (fma.f32 (sqrt.f32 u1) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (fma.f32 (-.f32 (fma.f32 (-.f32 (/.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 u1)) (/.f32 #s(literal 98696044010906577398881/10000000000000000000000 binary32) (sqrt.f32 u1))) u1 (/.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 u1))) (/.f32 #s(literal 98696044010906577398881/10000000000000000000000 binary32) (sqrt.f32 u1))) (*.f32 u1 u1) (*.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 u1)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))
#s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (fma.f32 (sqrt.f32 u1) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (sqrt.f32 u1) (*.f32 (-.f32 (fma.f32 (/.f32 (*.f32 u2 u2) (sqrt.f32 u1)) #s(literal 9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 binary32) (*.f32 (-.f32 (fma.f32 (fma.f32 (/.f32 (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 (sqrt.f32 u1) (sqrt.f32 u1))))) (sqrt.f32 u1)) #s(literal 9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 binary32) (*.f32 #s(literal -98696044010906577398881/10000000000000000000000 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 (sqrt.f32 u1) (sqrt.f32 u1)))) (sqrt.f32 u1)))) u1 (/.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 u1))) (/.f32 #s(literal 98696044010906577398881/10000000000000000000000 binary32) (sqrt.f32 u1))) u1)) (/.f32 #s(literal 98696044010906577398881/10000000000000000000000 binary32) (sqrt.f32 u1))) (*.f32 u1 u1)))))
#s(approx (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (*.f32 (sqrt.f32 u1) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))
#s(approx (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (fma.f32 #s(literal -98696044010906577398881/10000000000000000000000 binary32) (/.f32 (*.f32 u1 u1) (sqrt.f32 u1)) (*.f32 (sqrt.f32 u1) #s(literal -98696044010906577398881/5000000000000000000000 binary32))))
#s(approx (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (fma.f32 (-.f32 (*.f32 (/.f32 u1 (sqrt.f32 u1)) #s(literal -98696044010906577398881/10000000000000000000000 binary32)) (/.f32 #s(literal 98696044010906577398881/10000000000000000000000 binary32) (sqrt.f32 u1))) (*.f32 u1 u1) (*.f32 (sqrt.f32 u1) #s(literal -98696044010906577398881/5000000000000000000000 binary32))))
#s(approx (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (fma.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -98696044010906577398881/10000000000000000000000 binary32) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 (sqrt.f32 u1) (sqrt.f32 u1)))) u1) (sqrt.f32 u1))) (/.f32 #s(literal 98696044010906577398881/10000000000000000000000 binary32) (sqrt.f32 u1))) u1) (/.f32 #s(literal 98696044010906577398881/10000000000000000000000 binary32) (sqrt.f32 u1))) (*.f32 u1 u1) (*.f32 (sqrt.f32 u1) #s(literal -98696044010906577398881/5000000000000000000000 binary32))))
#s(approx (* (* (* u2 u2) (sqrt u1)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (*.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 u1)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))
#s(approx (* (* u2 u2) (sqrt u1)) (*.f32 (*.f32 u2 u2) (sqrt.f32 u1)))
#s(approx (+ 1 u1) (+.f32 #s(literal 1 binary32) u1))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (/.f32 (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) #s(literal -1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (/.f32 (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) #s(literal -1/2 binary32) (fma.f32 (*.f32 (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (/.f32 #s(literal 3/4 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 u1 u1)))) #s(literal -1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (/.f32 (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) #s(literal -1/2 binary32) (fma.f32 (*.f32 (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (/.f32 #s(literal 3/4 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 u1 u1)))) #s(literal -1/2 binary32) (fma.f32 (*.f32 (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (/.f32 #s(literal 5/8 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (*.f32 u1 u1) u1)))) #s(literal -1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))))))
#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 (sqrt.f32 #s(literal -1 binary32)) u1))))
#s(approx (sqrt (/ u1 (- 1 u1))) (-.f32 (+.f32 (/.f32 #s(literal -3/8 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 u1 u1))) (sqrt.f32 #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1))))
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#s(approx (/ u1 (- 1 u1)) #s(literal -1 binary32))
#s(approx (/ u1 (- 1 u1)) (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))))
#s(approx (/ u1 (- 1 u1)) (-.f32 (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)) #s(literal 1 binary32)))
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#s(approx (- 1 u1) (neg.f32 u1))
#s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1))
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#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) #s(literal -1/2 binary32) (fma.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 #s(literal 3/4 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 u1 u1)))) #s(literal -1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) #s(literal -1/2 binary32) (fma.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 #s(literal 3/4 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 u1 u1)))) #s(literal -1/2 binary32) (fma.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 #s(literal 5/8 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (*.f32 u1 u1) u1)))) #s(literal -1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))))))
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#s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (fma.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (sqrt.f32 #s(literal -1 binary32)) (neg.f32 (/.f32 (-.f32 (fma.f32 (/.f32 (*.f32 u2 u2) (sqrt.f32 #s(literal -1 binary32))) #s(literal 9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 binary32) (neg.f32 (/.f32 (fma.f32 (*.f32 (*.f32 u2 u2) (/.f32 #s(literal 3/4 binary32) (sqrt.f32 #s(literal -1 binary32)))) #s(literal -9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 296088132032719732196643/40000000000000000000000 binary32) (sqrt.f32 #s(literal -1 binary32)))) u1))) (/.f32 #s(literal 98696044010906577398881/10000000000000000000000 binary32) (sqrt.f32 #s(literal -1 binary32)))) u1)))))
#s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (fma.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (sqrt.f32 #s(literal -1 binary32)) (neg.f32 (/.f32 (-.f32 (fma.f32 (/.f32 (*.f32 u2 u2) (sqrt.f32 #s(literal -1 binary32))) #s(literal 9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 binary32) (neg.f32 (/.f32 (fma.f32 (*.f32 (*.f32 u2 u2) (/.f32 #s(literal 3/4 binary32) (sqrt.f32 #s(literal -1 binary32)))) #s(literal -9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 binary32) (+.f32 (neg.f32 (/.f32 (fma.f32 (*.f32 (*.f32 u2 u2) (/.f32 #s(literal 5/8 binary32) (sqrt.f32 #s(literal -1 binary32)))) #s(literal 9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal -98696044010906577398881/16000000000000000000000 binary32) (sqrt.f32 #s(literal -1 binary32)))) u1)) (/.f32 #s(literal 296088132032719732196643/40000000000000000000000 binary32) (sqrt.f32 #s(literal -1 binary32))))) u1))) (/.f32 #s(literal 98696044010906577398881/10000000000000000000000 binary32) (sqrt.f32 #s(literal -1 binary32)))) u1)))))
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#s(approx (+ (* (sqrt u1) -98696044010906577398881/5000000000000000000000) (* (* (* u2 u2) (sqrt u1)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000)) (*.f32 (neg.f32 u1) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)) (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))))
#s(approx (sqrt u1) (neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)) u1)))
#s(approx (* (* (* u2 u2) (sqrt u1)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (*.f32 (*.f32 #s(literal -9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) u1) (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)) (*.f32 u2 u2))))
#s(approx (* (* u2 u2) (sqrt u1)) (*.f32 (neg.f32 u1) (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)) (*.f32 u2 u2))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.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))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.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)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 (*.f32 (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2) (*.f32 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))) u2 (*.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))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 (*.f32 (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (fma.f32 (*.f32 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) (*.f32 (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))) u2)) u2 (*.f32 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
#s(approx (cos (* 314159265359/50000000000 u2)) (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))))
#s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))))
#s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (fma.f32 (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2) (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))))) u2 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))))
#s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (fma.f32 (fma.f32 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))))) u2 (*.f32 (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 314159265359/50000000000 binary32))) u2 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))))
#s(approx (+ (* u2 314159265359/50000000000) (/ (PI) 2)) (*.f32 #s(literal 1/2 binary32) (PI.f32)))
#s(approx (+ (* u2 314159265359/50000000000) (/ (PI) 2)) (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#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))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#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))) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #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 (fma.f32 (fma.f32 (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (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))))) (*.f32 u2 u2) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))))
#s(approx (* u2 u2) (*.f32 u2 u2))
#s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))
#s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32)))
#s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.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)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sin.f32 (fma.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 (cos (* 314159265359/50000000000 u2)) (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
#s(approx (+ (* u2 314159265359/50000000000) (/ (PI) 2)) (*.f32 (fma.f32 (/.f32 (PI.f32) u2) #s(literal 1/2 binary32) #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 (+ (* (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (*.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (+ (* (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (*.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 u2)) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2))))
#s(approx (+ (* (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (*.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 u2)) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (/.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2))))) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2))))
#s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (*.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (*.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 u2)) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2)))
#s(approx (+ (* (sqrt u1) -98696044010906577398881/5000000000000000000000) (* (* (* u2 u2) (sqrt u1)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000)) (*.f32 (fma.f32 (/.f32 (sqrt.f32 u1) (*.f32 u2 u2)) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (sqrt.f32 u1) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (*.f32 u2 u2)))
#s(approx (cos (* 314159265359/50000000000 u2)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sin.f32 (fma.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 (cos (* 314159265359/50000000000 u2)) (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
#s(approx (+ (* u2 314159265359/50000000000) (/ (PI) 2)) (neg.f32 (*.f32 (-.f32 (*.f32 (/.f32 (PI.f32) u2) #s(literal -1/2 binary32)) #s(literal 314159265359/50000000000 binary32)) u2)))

eval67.0ms (1.7%)

Memory
-38.1MiB live, 53.6MiB allocated; 45ms collecting garbage
Compiler

Compiled 13 931 to 1 325 computations (90.5% saved)

prune42.0ms (1.1%)

Memory
24.0MiB live, 68.7MiB allocated; 10ms collecting garbage
Pruning

47 alts after pruning (40 fresh and 7 done)

PrunedKeptTotal
New23313246
Fresh92736
Picked145
Done033
Total24347290
Accuracy
99.5%
Counts
290 → 47
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.2%
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
91.0%
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
91.4%
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
98.6%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 #s(approx (+ (* u2 314159265359/50000000000) (/ (PI) 2)) (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))))
98.1%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 #s(approx (+ (* u2 314159265359/50000000000) (/ (PI) 2)) (/.f32 (-.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)) (*.f32 #s(literal 1/2 binary32) (PI.f32))) (*.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2) (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))))
98.5%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 #s(approx (+ (* u2 314159265359/50000000000) (/ (PI) 2)) (*.f32 (fma.f32 (/.f32 (PI.f32) u2) #s(literal 1/2 binary32) #s(literal 314159265359/50000000000 binary32)) u2))))
98.7%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
93.5%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.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))))
91.5%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
91.5%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (-.f32 (*.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32))))
88.3%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
91.5%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (*.f32 u2 u2)) (-.f32 (*.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32))))))
91.5%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (+.f32 (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) u2) u2) #s(literal 1 binary32))))
5.3%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(approx (+ (* (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) 98696044010906577398881/5000000000000000000000) (* u2 u2)) 1) (*.f32 (-.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2))))))
98.6%
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))) (sin.f32 #s(approx (+ (* u2 314159265359/50000000000) (/ (PI) 2)) (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))))
91.4%
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
92.1%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 (+.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
88.0%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1))) (fma.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (cos.f32 (/.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sin.f32 (/.f32 (PI.f32) #s(literal 2 binary32))))))
88.1%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
83.7%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.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))))
82.3%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
79.7%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
92.0%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 #s(approx (+ (* (+ 1 u1) u1) 1) (*.f32 (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (*.f32 u1 u1))) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
88.0%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) #s(approx (* (+ 1 u1) u1) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) (*.f32 u1 u1))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
74.8%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) (sin.f32 (fma.f32 u2 #s(literal 314159265359/50000000000 binary32) (/.f32 (PI.f32) #s(literal 2 binary32)))))
75.0%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
70.0%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
82.5%
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (/.f32 (*.f32 u1 u1) (sqrt.f32 u1)) #s(literal 1/2 binary32) (sqrt.f32 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
74.8%
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (sin.f32 #s(approx (+ (* u2 314159265359/50000000000) (/ (PI) 2)) (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))))
93.6%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (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))))) (*.f32 u2 u2) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
69.9%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)))) (*.f32 u2 u2) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1))))
91.6%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) u2) u2 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
69.9%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 #s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (fma.f32 (sqrt.f32 u1) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 u1)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))) (*.f32 u2 u2) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))))
89.3%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 #s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (fma.f32 (sqrt.f32 u1) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (sqrt.f32 u1)))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
88.3%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 #s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
83.1%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 #s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 (+.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) u1))))) (*.f32 u2 u2) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 (+.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) u1)))))
68.1%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 #s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))) (*.f32 u2 u2) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))))
87.5%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 #s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) #s(approx (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (*.f32 (sqrt.f32 u1) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
77.8%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
78.1%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) u1)))))
78.1%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
78.0%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))))
75.3%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 (fma.f32 (+.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32)) u1))))
72.0%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1))))
63.2%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)))
90.8%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (+ (* (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (*.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 u2)) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (/.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2))))) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)))))
72.2%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (/.f32 (*.f32 u1 u1) (sqrt.f32 u1)) #s(literal 1/2 binary32) (sqrt.f32 u1))))
Compiler

Compiled 2 866 to 1 879 computations (34.4% saved)

series31.0ms (0.8%)

Memory
-1.4MiB live, 43.4MiB allocated; 10ms collecting garbage
Counts
48 → 124
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))) (sin.f32 #s(approx (+ (* u2 314159265359/50000000000) (/ (PI) 2)) (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))))
(sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1))))
(/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))
u1
#s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #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) u1)
#s(literal 1 binary32)
(sin.f32 #s(approx (+ (* u2 314159265359/50000000000) (/ (PI) 2)) (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
#s(approx (+ (* u2 314159265359/50000000000) (/ (PI) 2)) (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
#s(literal 1/2 binary32)
(PI.f32)
(*.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 (+.f32 #s(literal 1 binary32) u1) u1))))
(sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1)))
#s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1))
(*.f32 (+.f32 #s(literal 1 binary32) u1) u1)
(+.f32 #s(literal 1 binary32) u1)
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1))
#s(approx (/ u1 (- 1 u1)) u1)
#s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32)))
(fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))
(-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32))
(*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2))
#s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)
(*.f32 u2 u2)
#s(literal 98696044010906577398881/5000000000000000000000 binary32)
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 #s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (fma.f32 (sqrt.f32 u1) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (sqrt.f32 u1)))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(fma.f32 #s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (fma.f32 (sqrt.f32 u1) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (sqrt.f32 u1)))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (fma.f32 (sqrt.f32 u1) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (sqrt.f32 u1))))
(fma.f32 (sqrt.f32 u1) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (sqrt.f32 u1)))
(sqrt.f32 u1)
#s(literal -98696044010906577398881/5000000000000000000000 binary32)
(*.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (sqrt.f32 u1))
(*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 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)
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) (sin.f32 (fma.f32 u2 #s(literal 314159265359/50000000000 binary32) (/.f32 (PI.f32) #s(literal 2 binary32)))))
(sin.f32 (fma.f32 u2 #s(literal 314159265359/50000000000 binary32) (/.f32 (PI.f32) #s(literal 2 binary32))))
(fma.f32 u2 #s(literal 314159265359/50000000000 binary32) (/.f32 (PI.f32) #s(literal 2 binary32)))
(/.f32 (PI.f32) #s(literal 2 binary32))
#s(literal 2 binary32)
Outputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2)))) #s(hole binary32 (* (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2)))) #s(hole binary32 (+ (* 1/2 (/ (* (pow u1 2) (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2)))) (sqrt u1))) (* (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2)))) #s(hole binary32 (+ (* (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt u1)) (* (pow u1 2) (+ (* 1/2 (/ (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt u1))) (* 1/2 (/ (* u1 (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2)))) (sqrt u1))))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2)))) #s(hole binary32 (+ (* (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt u1)) (* (pow u1 2) (+ (* 1/2 (/ (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt u1))) (* u1 (+ (* 1/2 (/ (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt u1))) (* 1/2 (/ (* u1 (* (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (- 1 (* 1/4 (/ 1 (pow (sqrt u1) 2)))))) (sqrt u1))))))))))
#s(approx (sqrt (/ u1 (- 1 u1))) #s(hole binary32 (sqrt u1)))
#s(approx (sqrt (/ u1 (- 1 u1))) #s(hole binary32 (+ (sqrt u1) (* 1/2 (/ (pow u1 2) (sqrt u1))))))
#s(approx (sqrt (/ u1 (- 1 u1))) #s(hole binary32 (+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (/ u1 (sqrt u1))) (* 1/2 (/ 1 (sqrt u1))))))))
#s(approx (sqrt (/ u1 (- 1 u1))) #s(hole binary32 (+ (sqrt u1) (* (pow u1 2) (+ (* u1 (+ (* 1/2 (/ (* u1 (- 1 (* 1/4 (/ 1 (pow (sqrt u1) 2))))) (sqrt u1))) (* 1/2 (/ 1 (sqrt u1))))) (* 1/2 (/ 1 (sqrt u1))))))))
#s(approx (/ u1 (- 1 u1)) #s(hole binary32 u1))
#s(approx (/ u1 (- 1 u1)) #s(hole binary32 (* u1 (+ 1 u1))))
#s(approx (/ u1 (- 1 u1)) #s(hole binary32 (* u1 (+ 1 (* u1 (+ 1 u1))))))
#s(approx (/ u1 (- 1 u1)) #s(hole binary32 (* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))))
#s(approx (- 1 u1) #s(hole binary32 1))
#s(approx (- 1 u1) #s(hole binary32 (+ 1 (* -1 u1))))
#s(approx (- (/ 1 u1) 1) #s(hole binary32 (/ 1 u1)))
#s(approx (- (/ 1 u1) 1) #s(hole binary32 (/ (+ 1 (* -1 u1)) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (* (cos (* 314159265359/50000000000 u2)) (sqrt u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (* 1/2 (/ (* (pow u1 2) (cos (* 314159265359/50000000000 u2))) (sqrt u1))) (* (cos (* 314159265359/50000000000 u2)) (sqrt u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (* (cos (* 314159265359/50000000000 u2)) (sqrt u1)) (* (pow u1 2) (+ (* 1/2 (/ (cos (* 314159265359/50000000000 u2)) (sqrt u1))) (* 1/2 (/ (* u1 (cos (* 314159265359/50000000000 u2))) (sqrt u1))))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (* (cos (* 314159265359/50000000000 u2)) (sqrt u1)) (* (pow u1 2) (+ (* 1/2 (/ (cos (* 314159265359/50000000000 u2)) (sqrt u1))) (* u1 (+ (* 1/2 (/ (cos (* 314159265359/50000000000 u2)) (sqrt u1))) (* 1/2 (/ (* u1 (* (cos (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 (pow (sqrt u1) 2)))))) (sqrt u1))))))))))
#s(approx (+ 1 u1) #s(hole binary32 (+ 1 u1)))
#s(approx (+ (* (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (+ (sqrt u1) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt u1)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt u1))))))))
#s(approx (+ (* (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (+ (sqrt u1) (+ (* (pow u1 2) (+ (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 (/ (pow u2 2) (sqrt u1))) (* 98696044010906577398881/10000000000000000000000 (/ 1 (sqrt u1))))) (* 1/2 (/ 1 (sqrt u1))))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt u1)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt u1)))))))))
#s(approx (+ (* (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (+ (sqrt u1) (+ (* (pow u1 2) (+ (* 1/2 (/ 1 (sqrt u1))) (+ (* u1 (+ (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 (/ (pow u2 2) (sqrt u1))) (* 98696044010906577398881/10000000000000000000000 (/ 1 (sqrt u1))))) (* 1/2 (/ 1 (sqrt u1))))) (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 (/ (pow u2 2) (sqrt u1))) (* 98696044010906577398881/10000000000000000000000 (/ 1 (sqrt u1)))))))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt u1)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt u1)))))))))
#s(approx (+ (* (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (+ (sqrt u1) (+ (* (pow u1 2) (+ (* 1/2 (/ 1 (sqrt u1))) (+ (* u1 (+ (* 1/2 (/ 1 (sqrt u1))) (+ (* u1 (+ (* 1/2 (/ (- 1 (* 1/4 (/ 1 (pow (sqrt u1) 2)))) (sqrt u1))) (* (pow u2 2) (+ (* -98696044010906577398881/10000000000000000000000 (/ (- 1 (* 1/4 (/ 1 (pow (sqrt u1) 2)))) (sqrt u1))) (* 9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 (/ (* (pow u2 2) (- 1 (* 1/4 (/ 1 (pow (sqrt u1) 2))))) (sqrt u1))))))) (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 (/ (pow u2 2) (sqrt u1))) (* 98696044010906577398881/10000000000000000000000 (/ 1 (sqrt u1)))))))) (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 (/ (pow u2 2) (sqrt u1))) (* 98696044010906577398881/10000000000000000000000 (/ 1 (sqrt u1)))))))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt u1)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt u1)))))))))
#s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) #s(hole binary32 (+ (* -98696044010906577398881/5000000000000000000000 (sqrt u1)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt u1))))))
#s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) #s(hole binary32 (+ (* -98696044010906577398881/5000000000000000000000 (sqrt u1)) (+ (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt u1))) (* (pow u1 2) (- (* 9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 (/ (pow u2 2) (sqrt u1))) (* 98696044010906577398881/10000000000000000000000 (/ 1 (sqrt u1)))))))))
#s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) #s(hole binary32 (+ (* -98696044010906577398881/5000000000000000000000 (sqrt u1)) (+ (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt u1))) (* (pow u1 2) (- (+ (* 9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 (/ (pow u2 2) (sqrt u1))) (* u1 (- (* 9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 (/ (pow u2 2) (sqrt u1))) (* 98696044010906577398881/10000000000000000000000 (/ 1 (sqrt u1)))))) (* 98696044010906577398881/10000000000000000000000 (/ 1 (sqrt u1)))))))))
#s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) #s(hole binary32 (+ (* -98696044010906577398881/5000000000000000000000 (sqrt u1)) (+ (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt u1))) (* (pow u1 2) (- (+ (* 9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 (/ (pow u2 2) (sqrt u1))) (* u1 (- (+ (* 9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 (/ (pow u2 2) (sqrt u1))) (* u1 (+ (* -98696044010906577398881/10000000000000000000000 (/ (- 1 (* 1/4 (/ 1 (pow (sqrt u1) 2)))) (sqrt u1))) (* 9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 (/ (* (pow u2 2) (- 1 (* 1/4 (/ 1 (pow (sqrt u1) 2))))) (sqrt u1)))))) (* 98696044010906577398881/10000000000000000000000 (/ 1 (sqrt u1)))))) (* 98696044010906577398881/10000000000000000000000 (/ 1 (sqrt u1)))))))))
#s(approx (* (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (sqrt u1)) #s(hole binary32 (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2)))) #s(hole binary32 (* (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2)))) #s(hole binary32 (+ (* -1/2 (/ (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (* u1 (sqrt -1)))) (* (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2)))) #s(hole binary32 (+ (* -1/2 (/ (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2)))) #s(hole binary32 (+ (* -1/2 (/ (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1)))))))
#s(approx (sqrt (/ u1 (- 1 u1))) #s(hole binary32 (sqrt -1)))
#s(approx (sqrt (/ u1 (- 1 u1))) #s(hole binary32 (- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))))
#s(approx (sqrt (/ u1 (- 1 u1))) #s(hole binary32 (- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1))))))
#s(approx (sqrt (/ u1 (- 1 u1))) #s(hole binary32 (- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1))))))
#s(approx (/ u1 (- 1 u1)) #s(hole binary32 -1))
#s(approx (/ u1 (- 1 u1)) #s(hole binary32 (* -1 (+ 1 (/ 1 u1)))))
#s(approx (/ u1 (- 1 u1)) #s(hole binary32 (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)))
#s(approx (/ u1 (- 1 u1)) #s(hole binary32 (- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))))
#s(approx (- 1 u1) #s(hole binary32 (* -1 u1)))
#s(approx (- 1 u1) #s(hole binary32 (* u1 (- (/ 1 u1) 1))))
#s(approx (- (/ 1 u1) 1) #s(hole binary32 (- (/ 1 u1) 1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))))))
#s(approx (* (+ 1 u1) u1) #s(hole binary32 (pow u1 2)))
#s(approx (* (+ 1 u1) u1) #s(hole binary32 (* (pow u1 2) (+ 1 (/ 1 u1)))))
#s(approx (+ 1 u1) #s(hole binary32 (* u1 (+ 1 (/ 1 u1)))))
#s(approx (+ (* (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (+ (sqrt -1) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt -1)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt -1))))))))
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#s(approx (sqrt u1) #s(hole binary32 (* u1 (sqrt (/ 1 u1)))))
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#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2)))) #s(hole binary32 (* (sin (* 1/2 (PI))) (sqrt (/ u1 (- 1 u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2)))) #s(hole binary32 (+ (* 314159265359/50000000000 (* u2 (* (cos (* 1/2 (PI))) (sqrt (/ u1 (- 1 u1)))))) (* (sin (* 1/2 (PI))) (sqrt (/ u1 (- 1 u1)))))))
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#s(approx (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2))) #s(hole binary32 (sin (* 1/2 (PI)))))
#s(approx (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2))) #s(hole binary32 (+ (sin (* 1/2 (PI))) (* 314159265359/50000000000 (* u2 (cos (* 1/2 (PI))))))))
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#s(approx (+ (* u2 314159265359/50000000000) (/ (PI) 2)) #s(hole binary32 (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))))
#s(approx (* 314159265359/50000000000 u2) #s(hole binary32 (* 314159265359/50000000000 u2)))
#s(approx u2 #s(hole binary32 u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (sqrt (/ u1 (- 1 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt (/ u1 (- 1 u1))))))))
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#s(approx (cos (* 314159265359/50000000000 u2)) #s(hole binary32 (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))))
#s(approx (cos (* 314159265359/50000000000 u2)) #s(hole binary32 (+ 1 (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))))
#s(approx (cos (* 314159265359/50000000000 u2)) #s(hole binary32 (+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)))))
#s(approx (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) 98696044010906577398881/5000000000000000000000) #s(hole binary32 -98696044010906577398881/5000000000000000000000))
#s(approx (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) 98696044010906577398881/5000000000000000000000) #s(hole binary32 (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))
#s(approx (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) #s(hole binary32 (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2))))
#s(approx (* u2 u2) #s(hole binary32 (pow u2 2)))
#s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) #s(hole binary32 (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))))
#s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) #s(hole binary32 (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ u1 (- 1 u1))))))))
#s(approx (+ (* (sqrt u1) -98696044010906577398881/5000000000000000000000) (* (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (sqrt u1))) #s(hole binary32 (* -98696044010906577398881/5000000000000000000000 (sqrt u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2)))) #s(hole binary32 (* (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))))))
#s(approx (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2))) #s(hole binary32 (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2)))))
#s(approx (+ (* u2 314159265359/50000000000) (/ (PI) 2)) #s(hole binary32 (* u2 (+ 314159265359/50000000000 (* 1/2 (/ (PI) u2))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (* (cos (* 314159265359/50000000000 u2)) (sqrt (/ u1 (- 1 u1))))))
#s(approx (cos (* 314159265359/50000000000 u2)) #s(hole binary32 (cos (* 314159265359/50000000000 u2))))
#s(approx (+ (* (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) 98696044010906577398881/5000000000000000000000) (* u2 u2)) 1) #s(hole binary32 (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 4))))
#s(approx (+ (* (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) 98696044010906577398881/5000000000000000000000) (* u2 u2)) 1) #s(hole binary32 (* (pow u2 4) (- 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* 98696044010906577398881/5000000000000000000000 (/ 1 (pow u2 2)))))))
#s(approx (+ (* (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) 98696044010906577398881/5000000000000000000000) (* u2 u2)) 1) #s(hole binary32 (* (pow u2 4) (- (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 4))) (* 98696044010906577398881/5000000000000000000000 (/ 1 (pow u2 2)))))))
#s(approx (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) 98696044010906577398881/5000000000000000000000) #s(hole binary32 (* (pow u2 2) (- 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* 98696044010906577398881/5000000000000000000000 (/ 1 (pow u2 2)))))))
#s(approx (+ (* (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 4) (sqrt (/ u1 (- 1 u1)))))))
#s(approx (+ (* (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (* (pow u2 4) (+ (* -98696044010906577398881/5000000000000000000000 (/ (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))))
#s(approx (+ (* (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (* (pow u2 4) (+ (* -98696044010906577398881/5000000000000000000000 (/ (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (+ (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (/ (sqrt (/ u1 (- 1 u1))) (pow u2 4)))))))
#s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) #s(hole binary32 (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ u1 (- 1 u1)))))))
#s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) #s(hole binary32 (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (/ (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))))
#s(approx (+ (* (sqrt u1) -98696044010906577398881/5000000000000000000000) (* (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (sqrt u1))) #s(hole binary32 (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (/ (sqrt u1) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2)))) #s(hole binary32 (* (sin (- (* 1/2 (PI)) (* -314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))))))
#s(approx (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2))) #s(hole binary32 (sin (- (* 1/2 (PI)) (* -314159265359/50000000000 u2)))))
#s(approx (+ (* u2 314159265359/50000000000) (/ (PI) 2)) #s(hole binary32 (* -1 (* u2 (- (* -1/2 (/ (PI) u2)) 314159265359/50000000000)))))
Calls

9 calls:

TimeVariablePointExpression
12.0ms
u2
@inf
((* (sqrt (/ u1 (- 1 u1))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2)))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) u1 (- 1 u1) (* (- (/ 1 u1) 1) u1) (- (/ 1 u1) 1) (/ 1 u1) 1 (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2))) (+ (* u2 314159265359/50000000000) (/ (PI) 2)) (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2)) 1/2 (PI) (* 314159265359/50000000000 u2) 314159265359/50000000000 u2 (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (* (+ 1 u1) u1) (+ 1 u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (cos (* 314159265359/50000000000 u2)) (+ (* (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) 98696044010906577398881/5000000000000000000000) (* u2 u2)) 1) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) 98696044010906577398881/5000000000000000000000) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2) 98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (+ (* (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (+ (* (sqrt u1) -98696044010906577398881/5000000000000000000000) (* (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (sqrt u1))) (sqrt u1) -98696044010906577398881/5000000000000000000000 (* (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (sqrt u1)) (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2)))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2))) (+ (* u2 314159265359/50000000000) (/ (PI) 2)) (/ (PI) 2) 2)
3.0ms
u2
@-inf
((* (sqrt (/ u1 (- 1 u1))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2)))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) u1 (- 1 u1) (* (- (/ 1 u1) 1) u1) (- (/ 1 u1) 1) (/ 1 u1) 1 (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2))) (+ (* u2 314159265359/50000000000) (/ (PI) 2)) (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2)) 1/2 (PI) (* 314159265359/50000000000 u2) 314159265359/50000000000 u2 (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (* (+ 1 u1) u1) (+ 1 u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (cos (* 314159265359/50000000000 u2)) (+ (* (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) 98696044010906577398881/5000000000000000000000) (* u2 u2)) 1) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) 98696044010906577398881/5000000000000000000000) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2) 98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (+ (* (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (+ (* (sqrt u1) -98696044010906577398881/5000000000000000000000) (* (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (sqrt u1))) (sqrt u1) -98696044010906577398881/5000000000000000000000 (* (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (sqrt u1)) (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2)))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2))) (+ (* u2 314159265359/50000000000) (/ (PI) 2)) (/ (PI) 2) 2)
3.0ms
u1
@-inf
((* (sqrt (/ u1 (- 1 u1))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2)))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) u1 (- 1 u1) (* (- (/ 1 u1) 1) u1) (- (/ 1 u1) 1) (/ 1 u1) 1 (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2))) (+ (* u2 314159265359/50000000000) (/ (PI) 2)) (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2)) 1/2 (PI) (* 314159265359/50000000000 u2) 314159265359/50000000000 u2 (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (* (+ 1 u1) u1) (+ 1 u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (cos (* 314159265359/50000000000 u2)) (+ (* (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) 98696044010906577398881/5000000000000000000000) (* u2 u2)) 1) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) 98696044010906577398881/5000000000000000000000) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2) 98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (+ (* (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (+ (* (sqrt u1) -98696044010906577398881/5000000000000000000000) (* (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (sqrt u1))) (sqrt u1) -98696044010906577398881/5000000000000000000000 (* (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (sqrt u1)) (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2)))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2))) (+ (* u2 314159265359/50000000000) (/ (PI) 2)) (/ (PI) 2) 2)
2.0ms
u1
@0
((* (sqrt (/ u1 (- 1 u1))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2)))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) u1 (- 1 u1) (* (- (/ 1 u1) 1) u1) (- (/ 1 u1) 1) (/ 1 u1) 1 (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2))) (+ (* u2 314159265359/50000000000) (/ (PI) 2)) (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2)) 1/2 (PI) (* 314159265359/50000000000 u2) 314159265359/50000000000 u2 (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (* (+ 1 u1) u1) (+ 1 u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (cos (* 314159265359/50000000000 u2)) (+ (* (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) 98696044010906577398881/5000000000000000000000) (* u2 u2)) 1) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) 98696044010906577398881/5000000000000000000000) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2) 98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (+ (* (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (+ (* (sqrt u1) -98696044010906577398881/5000000000000000000000) (* (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (sqrt u1))) (sqrt u1) -98696044010906577398881/5000000000000000000000 (* (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (sqrt u1)) (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2)))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2))) (+ (* u2 314159265359/50000000000) (/ (PI) 2)) (/ (PI) 2) 2)
2.0ms
u2
@0
((* (sqrt (/ u1 (- 1 u1))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2)))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) u1 (- 1 u1) (* (- (/ 1 u1) 1) u1) (- (/ 1 u1) 1) (/ 1 u1) 1 (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2))) (+ (* u2 314159265359/50000000000) (/ (PI) 2)) (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2)) 1/2 (PI) (* 314159265359/50000000000 u2) 314159265359/50000000000 u2 (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (* (+ 1 u1) u1) (+ 1 u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (cos (* 314159265359/50000000000 u2)) (+ (* (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) 98696044010906577398881/5000000000000000000000) (* u2 u2)) 1) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) 98696044010906577398881/5000000000000000000000) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2) 98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (+ (* (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (+ (* (sqrt u1) -98696044010906577398881/5000000000000000000000) (* (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (sqrt u1))) (sqrt u1) -98696044010906577398881/5000000000000000000000 (* (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (sqrt u1)) (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2)))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2))) (+ (* u2 314159265359/50000000000) (/ (PI) 2)) (/ (PI) 2) 2)

rewrite229.0ms (5.8%)

Memory
0.5MiB live, 176.8MiB allocated; 52ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07265860
07764767
047454580
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
172 → 264
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))) (sin.f32 #s(approx (+ (* u2 314159265359/50000000000) (/ (PI) 2)) (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))))
(sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1))))
(/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))
u1
#s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #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) u1)
#s(literal 1 binary32)
(sin.f32 #s(approx (+ (* u2 314159265359/50000000000) (/ (PI) 2)) (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
#s(approx (+ (* u2 314159265359/50000000000) (/ (PI) 2)) (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
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#s(approx (* 314159265359/50000000000 u2) #s(hole binary32 (* 314159265359/50000000000 u2)))
#s(approx u2 #s(hole binary32 u2))
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#s(approx (cos (* 314159265359/50000000000 u2)) #s(hole binary32 (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))))
#s(approx (cos (* 314159265359/50000000000 u2)) #s(hole binary32 (+ 1 (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))))
#s(approx (cos (* 314159265359/50000000000 u2)) #s(hole binary32 (+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)))))
#s(approx (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) 98696044010906577398881/5000000000000000000000) #s(hole binary32 -98696044010906577398881/5000000000000000000000))
#s(approx (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) 98696044010906577398881/5000000000000000000000) #s(hole binary32 (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))
#s(approx (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) #s(hole binary32 (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2))))
#s(approx (* u2 u2) #s(hole binary32 (pow u2 2)))
#s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) #s(hole binary32 (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))))
#s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) #s(hole binary32 (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ u1 (- 1 u1))))))))
#s(approx (+ (* (sqrt u1) -98696044010906577398881/5000000000000000000000) (* (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (sqrt u1))) #s(hole binary32 (* -98696044010906577398881/5000000000000000000000 (sqrt u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2)))) #s(hole binary32 (* (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))))))
#s(approx (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2))) #s(hole binary32 (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2)))))
#s(approx (+ (* u2 314159265359/50000000000) (/ (PI) 2)) #s(hole binary32 (* u2 (+ 314159265359/50000000000 (* 1/2 (/ (PI) u2))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (* (cos (* 314159265359/50000000000 u2)) (sqrt (/ u1 (- 1 u1))))))
#s(approx (cos (* 314159265359/50000000000 u2)) #s(hole binary32 (cos (* 314159265359/50000000000 u2))))
#s(approx (+ (* (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) 98696044010906577398881/5000000000000000000000) (* u2 u2)) 1) #s(hole binary32 (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 4))))
#s(approx (+ (* (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) 98696044010906577398881/5000000000000000000000) (* u2 u2)) 1) #s(hole binary32 (* (pow u2 4) (- 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* 98696044010906577398881/5000000000000000000000 (/ 1 (pow u2 2)))))))
#s(approx (+ (* (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) 98696044010906577398881/5000000000000000000000) (* u2 u2)) 1) #s(hole binary32 (* (pow u2 4) (- (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 4))) (* 98696044010906577398881/5000000000000000000000 (/ 1 (pow u2 2)))))))
#s(approx (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) 98696044010906577398881/5000000000000000000000) #s(hole binary32 (* (pow u2 2) (- 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* 98696044010906577398881/5000000000000000000000 (/ 1 (pow u2 2)))))))
#s(approx (+ (* (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 4) (sqrt (/ u1 (- 1 u1)))))))
#s(approx (+ (* (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (* (pow u2 4) (+ (* -98696044010906577398881/5000000000000000000000 (/ (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))))
#s(approx (+ (* (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (* (pow u2 4) (+ (* -98696044010906577398881/5000000000000000000000 (/ (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (+ (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (/ (sqrt (/ u1 (- 1 u1))) (pow u2 4)))))))
#s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) #s(hole binary32 (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ u1 (- 1 u1)))))))
#s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) #s(hole binary32 (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (/ (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))))
#s(approx (+ (* (sqrt u1) -98696044010906577398881/5000000000000000000000) (* (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (sqrt u1))) #s(hole binary32 (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (/ (sqrt u1) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2)))) #s(hole binary32 (* (sin (- (* 1/2 (PI)) (* -314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))))))
#s(approx (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2))) #s(hole binary32 (sin (- (* 1/2 (PI)) (* -314159265359/50000000000 u2)))))
#s(approx (+ (* u2 314159265359/50000000000) (/ (PI) 2)) #s(hole binary32 (* -1 (* u2 (- (* -1/2 (/ (PI) u2)) 314159265359/50000000000)))))
Outputs
(*.f32 (sin.f32 #s(approx (+ (* u2 314159265359/50000000000) (/ (PI) 2)) (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))))
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))) (sin.f32 #s(approx (+ (* u2 314159265359/50000000000) (/ (PI) 2)) (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))))
(sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1))))
(/.f32 (sqrt.f32 u1) (sqrt.f32 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1))))
(pow.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1))) #s(literal 1/2 binary32))
(/.f32 (neg.f32 u1) (neg.f32 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1))))
(/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))
u1
#s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1))
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)
(*.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))
(/.f32 (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) u1) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))
(/.f32 (-.f32 (pow.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 3 binary32)) #s(literal 1 binary32)) (fma.f32 (/.f32 #s(literal 1 binary32) u1) (/.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) (*.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) (neg.f32 u1))
(/.f32 #s(literal 1 binary32) u1)
(pow.f32 u1 #s(literal -1 binary32))
#s(literal 1 binary32)
(sin.f32 #s(approx (+ (* u2 314159265359/50000000000) (/ (PI) 2)) (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
#s(approx (+ (* u2 314159265359/50000000000) (/ (PI) 2)) (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 (-.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)) (*.f32 #s(literal 1/2 binary32) (PI.f32))) (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (-.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 (-.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)) (*.f32 #s(literal 1/2 binary32) (PI.f32))) (*.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2) (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))
(/.f32 (+.f32 (pow.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)) #s(literal 3 binary32)) (pow.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 3 binary32))) (fma.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)) (*.f32 #s(literal 1/2 binary32) (PI.f32)) (-.f32 (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))))
(/.f32 (-.f32 (pow.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)) #s(literal 3 binary32)) (pow.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2) #s(literal 3 binary32))) (fma.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)) (*.f32 #s(literal 1/2 binary32) (PI.f32)) (fma.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2) (*.f32 #s(literal -314159265359/50000000000 binary32) u2) (*.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)) (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))))
(-.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)) (*.f32 #s(literal -314159265359/50000000000 binary32) u2))
(fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(fma.f32 (PI.f32) #s(literal 1/2 binary32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(fma.f32 #s(literal 314159265359/50000000000 binary32) u2 (*.f32 #s(literal 1/2 binary32) (PI.f32)))
(fma.f32 u2 #s(literal 314159265359/50000000000 binary32) (*.f32 #s(literal 1/2 binary32) (PI.f32)))
(+.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(+.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (*.f32 #s(literal 1/2 binary32) (PI.f32)))
#s(literal 1/2 binary32)
(PI.f32)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
#s(literal 314159265359/50000000000 binary32)
u2
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1))))
(sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1)))
(pow.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1)) #s(literal 1/2 binary32))
#s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1))
(*.f32 (+.f32 #s(literal 1 binary32) u1) u1)
(*.f32 u1 (+.f32 #s(literal 1 binary32) u1))
(fma.f32 #s(literal 1 binary32) u1 (*.f32 u1 u1))
(fma.f32 u1 #s(literal 1 binary32) (*.f32 u1 u1))
(+.f32 (*.f32 #s(literal 1 binary32) u1) (*.f32 u1 u1))
(+.f32 (*.f32 u1 #s(literal 1 binary32)) (*.f32 u1 u1))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (-.f32 #s(literal 1 binary32) u1))
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 u1) u1)) (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 u1 u1) (*.f32 #s(literal 1 binary32) u1))))
(+.f32 #s(literal 1 binary32) u1)
(+.f32 u1 #s(literal 1 binary32))
(*.f32 #s(approx (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2))) (fma.f32 (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2))) (fma.f32 (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1))
(pow.f32 #s(approx (/ u1 (- 1 u1)) u1) #s(literal 1/2 binary32))
#s(approx (/ u1 (- 1 u1)) u1)
#s(approx (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2))) (fma.f32 (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32)))
(/.f32 (-.f32 (*.f32 (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) u2) u2) (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) u2) u2)) #s(literal 1 binary32)) (-.f32 (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) u2) u2) #s(literal 1 binary32)))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) u2) u2) (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) u2) u2))) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) u2) u2)))
(/.f32 (+.f32 (pow.f32 (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) u2) u2) #s(literal 3 binary32)) #s(literal 1 binary32)) (fma.f32 (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) u2) u2) (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) u2) u2) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) u2) u2) #s(literal 1 binary32)))))
(/.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) u2) u2) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) u2) u2) (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) u2) u2)) (*.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) u2) u2)))))
(-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (*.f32 u2 u2)) (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 98696044010906577398881/5000000000000000000000 binary32))))
(fma.f32 (*.f32 (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32))
(fma.f32 (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))
(fma.f32 (*.f32 u2 u2) (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))
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#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 u1) (*.f32 (*.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 u1)) (*.f32 u1 (/.f32 (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 u1))))) (*.f32 u1 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 u1)) (*.f32 u1 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 (sqrt.f32 u1) (sqrt.f32 u1)))) (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) (sqrt.f32 u1))))) u1 (*.f32 (/.f32 (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 u1)) #s(literal 1/2 binary32))) (*.f32 u1 u1) (*.f32 (sqrt.f32 u1) (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))))
#s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))
#s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (/.f32 (*.f32 u1 u1) (sqrt.f32 u1)) #s(literal 1/2 binary32) (sqrt.f32 u1)))
#s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (fma.f32 (/.f32 u1 (sqrt.f32 u1)) #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) (sqrt.f32 u1))) (*.f32 u1 u1) (sqrt.f32 u1)))
#s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (fma.f32 (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 (sqrt.f32 u1) (sqrt.f32 u1)))) u1) (sqrt.f32 u1)) #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) (sqrt.f32 u1))) u1 (/.f32 #s(literal 1/2 binary32) (sqrt.f32 u1))) (*.f32 u1 u1) (sqrt.f32 u1)))
#s(approx (/ u1 (- 1 u1)) u1)
#s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1))
#s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 (+.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) u1))
#s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 (fma.f32 (+.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32)) u1))
#s(approx (- 1 u1) #s(literal 1 binary32))
#s(approx (- 1 u1) (+.f32 (neg.f32 u1) #s(literal 1 binary32)))
#s(approx (- (/ 1 u1) 1) (/.f32 #s(literal 1 binary32) u1))
#s(approx (- (/ 1 u1) 1) (/.f32 (+.f32 (neg.f32 u1) #s(literal 1 binary32)) u1))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (/.f32 (*.f32 (*.f32 u1 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 u1)) #s(literal 1/2 binary32) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)) (*.f32 u1 (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1))))) (*.f32 u1 u1) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)) (*.f32 u1 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 (sqrt.f32 u1) (sqrt.f32 u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 u1))))) u1 (*.f32 (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)) #s(literal 1/2 binary32))) (*.f32 u1 u1) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))))
#s(approx (+ 1 u1) (+.f32 #s(literal 1 binary32) u1))
#s(approx (+ (* (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (fma.f32 (fma.f32 (sqrt.f32 u1) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 u1)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (*.f32 u2 u2) (sqrt.f32 u1)))
#s(approx (+ (* (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (+.f32 (fma.f32 (fma.f32 (-.f32 (/.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 u1)) (/.f32 #s(literal 98696044010906577398881/10000000000000000000000 binary32) (sqrt.f32 u1))) (*.f32 u2 u2) (/.f32 #s(literal 1/2 binary32) (sqrt.f32 u1))) (*.f32 u1 u1) (*.f32 (fma.f32 (sqrt.f32 u1) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 u1)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (*.f32 u2 u2))) (sqrt.f32 u1)))
#s(approx (+ (* (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (+.f32 (fma.f32 (+.f32 (fma.f32 (fma.f32 (-.f32 (/.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 u1)) (/.f32 #s(literal 98696044010906577398881/10000000000000000000000 binary32) (sqrt.f32 u1))) (*.f32 u2 u2) (/.f32 #s(literal 1/2 binary32) (sqrt.f32 u1))) u1 (*.f32 (-.f32 (/.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 u1)) (/.f32 #s(literal 98696044010906577398881/10000000000000000000000 binary32) (sqrt.f32 u1))) (*.f32 u2 u2))) (/.f32 #s(literal 1/2 binary32) (sqrt.f32 u1))) (*.f32 u1 u1) (*.f32 (fma.f32 (sqrt.f32 u1) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 u1)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (*.f32 u2 u2))) (sqrt.f32 u1)))
#s(approx (+ (* (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (+.f32 (fma.f32 (+.f32 (fma.f32 (+.f32 (fma.f32 (fma.f32 (fma.f32 (/.f32 (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 (sqrt.f32 u1) (sqrt.f32 u1))))) (sqrt.f32 u1)) #s(literal 9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 binary32) (*.f32 #s(literal -98696044010906577398881/10000000000000000000000 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 (sqrt.f32 u1) (sqrt.f32 u1)))) (sqrt.f32 u1)))) (*.f32 u2 u2) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 (sqrt.f32 u1) (sqrt.f32 u1)))) (sqrt.f32 u1)) #s(literal 1/2 binary32))) u1 (*.f32 (-.f32 (/.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 u1)) (/.f32 #s(literal 98696044010906577398881/10000000000000000000000 binary32) (sqrt.f32 u1))) (*.f32 u2 u2))) (/.f32 #s(literal 1/2 binary32) (sqrt.f32 u1))) u1 (*.f32 (-.f32 (/.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 u1)) (/.f32 #s(literal 98696044010906577398881/10000000000000000000000 binary32) (sqrt.f32 u1))) (*.f32 u2 u2))) (/.f32 #s(literal 1/2 binary32) (sqrt.f32 u1))) (*.f32 u1 u1) (*.f32 (fma.f32 (sqrt.f32 u1) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 u1)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (*.f32 u2 u2))) (sqrt.f32 u1)))
#s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (fma.f32 (sqrt.f32 u1) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 u1)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))))
#s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (fma.f32 (sqrt.f32 u1) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (sqrt.f32 u1) (*.f32 (-.f32 (/.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 u1)) (/.f32 #s(literal 98696044010906577398881/10000000000000000000000 binary32) (sqrt.f32 u1))) (*.f32 u1 u1)))))
#s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (fma.f32 (sqrt.f32 u1) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (fma.f32 (-.f32 (fma.f32 (-.f32 (/.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 u1)) (/.f32 #s(literal 98696044010906577398881/10000000000000000000000 binary32) (sqrt.f32 u1))) u1 (/.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 u1))) (/.f32 #s(literal 98696044010906577398881/10000000000000000000000 binary32) (sqrt.f32 u1))) (*.f32 u1 u1) (*.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 u1)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))
#s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (fma.f32 (sqrt.f32 u1) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (sqrt.f32 u1) (*.f32 (-.f32 (fma.f32 (/.f32 (*.f32 u2 u2) (sqrt.f32 u1)) #s(literal 9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 binary32) (*.f32 (-.f32 (fma.f32 (fma.f32 (/.f32 (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 (sqrt.f32 u1) (sqrt.f32 u1))))) (sqrt.f32 u1)) #s(literal 9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 binary32) (*.f32 #s(literal -98696044010906577398881/10000000000000000000000 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 (sqrt.f32 u1) (sqrt.f32 u1)))) (sqrt.f32 u1)))) u1 (/.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 u1))) (/.f32 #s(literal 98696044010906577398881/10000000000000000000000 binary32) (sqrt.f32 u1))) u1)) (/.f32 #s(literal 98696044010906577398881/10000000000000000000000 binary32) (sqrt.f32 u1))) (*.f32 u1 u1)))))
#s(approx (* (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (sqrt u1)) (*.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 u1)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (/.f32 (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) #s(literal -1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (/.f32 (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) #s(literal -1/2 binary32) (fma.f32 (*.f32 (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (/.f32 #s(literal 3/4 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 u1 u1)))) #s(literal -1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (/.f32 (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) #s(literal -1/2 binary32) (fma.f32 (*.f32 (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (/.f32 #s(literal 3/4 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 u1 u1)))) #s(literal -1/2 binary32) (fma.f32 (*.f32 (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (/.f32 #s(literal 5/8 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (*.f32 u1 u1) u1)))) #s(literal -1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))))))
#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 (sqrt.f32 #s(literal -1 binary32)) u1))))
#s(approx (sqrt (/ u1 (- 1 u1))) (-.f32 (+.f32 (/.f32 #s(literal -3/8 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 u1 u1))) (sqrt.f32 #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1))))
#s(approx (sqrt (/ u1 (- 1 u1))) (-.f32 (+.f32 (+.f32 (/.f32 #s(literal -5/16 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (*.f32 u1 u1) u1))) (/.f32 #s(literal -3/8 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 u1 u1)))) (sqrt.f32 #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1))))
#s(approx (/ u1 (- 1 u1)) #s(literal -1 binary32))
#s(approx (/ u1 (- 1 u1)) (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))))
#s(approx (/ u1 (- 1 u1)) (-.f32 (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)) #s(literal 1 binary32)))
#s(approx (/ u1 (- 1 u1)) (-.f32 (-.f32 (/.f32 (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))) (*.f32 u1 u1)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) u1)))
#s(approx (- 1 u1) (neg.f32 u1))
#s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #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))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
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#s(approx (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2))) (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))))
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#s(approx (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2))) (fma.f32 (fma.f32 (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2) (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))))) u2 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))))
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#s(approx (* 314159265359/50000000000 u2) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
#s(approx u2 u2)
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#s(approx (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2))) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))
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#s(approx (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2))) (fma.f32 (-.f32 (*.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)))
#s(approx (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) 98696044010906577398881/5000000000000000000000) #s(literal -98696044010906577398881/5000000000000000000000 binary32))
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#s(approx (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))
#s(approx (* u2 u2) (*.f32 u2 u2))
#s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
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#s(approx (+ (* (sqrt u1) -98696044010906577398881/5000000000000000000000) (* (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (sqrt u1))) (*.f32 (sqrt.f32 u1) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sin.f32 (fma.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 (+ (* u2 314159265359/50000000000) (/ (PI) 2))) (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
#s(approx (+ (* u2 314159265359/50000000000) (/ (PI) 2)) (*.f32 (fma.f32 (/.f32 (PI.f32) u2) #s(literal 1/2 binary32) #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 (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (+ (* (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) 98696044010906577398881/5000000000000000000000) (* u2 u2)) 1) (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))
#s(approx (+ (* (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) 98696044010906577398881/5000000000000000000000) (* u2 u2)) 1) (*.f32 (-.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2))))
#s(approx (+ (* (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) 98696044010906577398881/5000000000000000000000) (* u2 u2)) 1) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2))) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (/.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2))))
#s(approx (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) 98696044010906577398881/5000000000000000000000) (*.f32 (-.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))) (*.f32 u2 u2)))
#s(approx (+ (* (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (*.f32 (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (+ (* (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (*.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 u2)) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2))))
#s(approx (+ (* (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (*.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 u2)) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (/.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2))))) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2))))
#s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (*.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (*.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 u2)) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2)))
#s(approx (+ (* (sqrt u1) -98696044010906577398881/5000000000000000000000) (* (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (sqrt u1))) (*.f32 (fma.f32 (/.f32 (sqrt.f32 u1) (*.f32 u2 u2)) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (sqrt.f32 u1) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (*.f32 u2 u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sin.f32 (fma.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 (+ (* u2 314159265359/50000000000) (/ (PI) 2))) (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
#s(approx (+ (* u2 314159265359/50000000000) (/ (PI) 2)) (neg.f32 (*.f32 (-.f32 (*.f32 (/.f32 (PI.f32) u2) #s(literal -1/2 binary32)) #s(literal 314159265359/50000000000 binary32)) u2)))

eval43.0ms (1.1%)

Memory
6.8MiB live, 59.5MiB allocated; 17ms collecting garbage
Compiler

Compiled 10 605 to 1 291 computations (87.8% saved)

prune49.0ms (1.2%)

Memory
33.9MiB live, 77.1MiB allocated; 9ms collecting garbage
Pruning

56 alts after pruning (45 fresh and 11 done)

PrunedKeptTotal
New20315218
Fresh53035
Picked145
Done077
Total20956265
Accuracy
99.5%
Counts
265 → 56
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.2%
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
91.0%
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
91.4%
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
98.6%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 #s(approx (+ (* u2 314159265359/50000000000) (/ (PI) 2)) (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))))
98.1%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 #s(approx (+ (* u2 314159265359/50000000000) (/ (PI) 2)) (/.f32 (-.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)) (*.f32 #s(literal 1/2 binary32) (PI.f32))) (*.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2) (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))))
98.5%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 #s(approx (+ (* u2 314159265359/50000000000) (/ (PI) 2)) (*.f32 (fma.f32 (/.f32 (PI.f32) u2) #s(literal 1/2 binary32) #s(literal 314159265359/50000000000 binary32)) u2))))
98.7%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
93.5%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.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))))
91.5%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
91.5%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (-.f32 (*.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32))))
88.3%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
91.5%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (+.f32 (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) u2) u2) #s(literal 1 binary32))))
98.2%
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (/.f32 (-.f32 (pow.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 3 binary32)) #s(literal 1 binary32)) (fma.f32 (/.f32 #s(literal 1 binary32) u1) (/.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))))) u1)))) (sin.f32 #s(approx (+ (* u2 314159265359/50000000000) (/ (PI) 2)) (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))))
98.6%
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))) (sin.f32 #s(approx (+ (* u2 314159265359/50000000000) (/ (PI) 2)) (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))))
91.4%
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
92.1%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 (+.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
88.1%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
83.7%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.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))))
82.3%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
79.7%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
92.0%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 #s(approx (+ (* (+ 1 u1) u1) 1) (*.f32 (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (*.f32 u1 u1))) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
88.0%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) #s(approx (* (+ 1 u1) u1) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) (*.f32 u1 u1))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
74.8%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) (fma.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (cos.f32 (/.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sin.f32 (/.f32 (PI.f32) #s(literal 2 binary32))))))
74.8%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) (sin.f32 (fma.f32 u2 #s(literal 314159265359/50000000000 binary32) (/.f32 (PI.f32) #s(literal 2 binary32)))))
75.0%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
71.2%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2))) (fma.f32 (-.f32 (*.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))))
68.1%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2))) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
70.0%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
70.0%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32))))
70.0%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 #s(approx (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) 98696044010906577398881/5000000000000000000000) (*.f32 (-.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))) (*.f32 u2 u2))) (*.f32 u2 u2) #s(literal 1 binary32))))
70.0%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (*.f32 u2 u2)) (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 98696044010906577398881/5000000000000000000000 binary32))))))
70.0%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (+.f32 (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) u2) u2) #s(literal 1 binary32))))
5.3%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) #s(approx (+ (* (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) 98696044010906577398881/5000000000000000000000) (* u2 u2)) 1) (*.f32 (-.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2))))))
10.6%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) #s(approx (+ (* (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) 98696044010906577398881/5000000000000000000000) (* u2 u2)) 1) (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))
82.5%
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (/.f32 (*.f32 u1 u1) (sqrt.f32 u1)) #s(literal 1/2 binary32) (sqrt.f32 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
74.8%
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (sin.f32 #s(approx (+ (* u2 314159265359/50000000000) (/ (PI) 2)) (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))))
93.6%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (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))))) (*.f32 u2 u2) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
69.9%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)))) (*.f32 u2 u2) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1))))
91.6%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) u2) u2 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
89.3%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 #s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (fma.f32 (sqrt.f32 u1) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (sqrt.f32 u1)))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
88.3%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 #s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
83.1%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 #s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 (+.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) u1))))) (*.f32 u2 u2) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 (+.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) u1)))))
68.1%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 #s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))) (*.f32 u2 u2) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))))
87.5%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 #s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) #s(approx (+ (* (sqrt u1) -98696044010906577398881/5000000000000000000000) (* (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (sqrt u1))) (*.f32 (sqrt.f32 u1) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
77.8%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
78.1%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) u1)))))
78.1%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
78.0%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))))
72.1%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 #s(literal 1 binary32) (*.f32 u1 u1)))))
75.3%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 (fma.f32 (+.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32)) u1))))
72.0%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (-.f32 #s(literal 1 binary32) u1)) u1))))
72.0%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1))))
18.8%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) #s(approx (* (+ 1 u1) u1) (*.f32 u1 u1)))))
63.2%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)))
90.8%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (+ (* (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (*.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 u2)) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (/.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2))))) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)))))
72.2%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (/.f32 (*.f32 u1 u1) (sqrt.f32 u1)) #s(literal 1/2 binary32) (sqrt.f32 u1))))
Compiler

Compiled 4 290 to 1 553 computations (63.8% saved)

regimes289.0ms (7.4%)

Memory
-45.7MiB live, 286.2MiB allocated; 188ms collecting garbage
Counts
78 → 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)) #s(approx (* (+ 1 u1) u1) (*.f32 u1 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) 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 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 #s(literal 1 binary32) (*.f32 u1 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2))) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 #s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))) (*.f32 u2 u2) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (/.f32 (*.f32 u1 u1) (sqrt.f32 u1)) #s(literal 1/2 binary32) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (-.f32 #s(literal 1 binary32) u1)) u1))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) #s(approx (+ (* (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) 98696044010906577398881/5000000000000000000000) (* u2 u2)) 1) (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 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 (fma.f32 (fma.f32 (+.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32)) u1))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 #s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) #s(approx (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (*.f32 (sqrt.f32 u1) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 #s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) #s(approx (+ (* (sqrt u1) -98696044010906577398881/5000000000000000000000) (* (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (sqrt u1))) (*.f32 (sqrt.f32 u1) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (+.f32 (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) u2) u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (*.f32 u2 u2)) (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 98696044010906577398881/5000000000000000000000 binary32))))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) #s(approx (+ (* (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) 98696044010906577398881/5000000000000000000000) (* u2 u2)) 1) (*.f32 (-.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2))))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 #s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (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 (-.f32 (*.f32 (*.f32 #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 (*.f32 #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 (-.f32 (*.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (+ (* (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (fma.f32 (fma.f32 (sqrt.f32 u1) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 u1)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (*.f32 u2 u2) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 #s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (fma.f32 (sqrt.f32 u1) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 u1)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))) (*.f32 u2 u2) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)))) (*.f32 u2 u2) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 #s(approx (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) 98696044010906577398881/5000000000000000000000) (*.f32 (-.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))) (*.f32 u2 u2))) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (+.f32 (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 #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)) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (*.f32 u2 u2)) (-.f32 (*.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32))))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2))) (fma.f32 (-.f32 (*.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 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #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)) #s(approx (+ (* (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) 98696044010906577398881/5000000000000000000000) (* u2 u2)) 1) (*.f32 (-.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 #s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (fma.f32 (sqrt.f32 u1) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (sqrt.f32 u1)))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 #s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (fma.f32 (sqrt.f32 u1) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 u1)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.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 #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (/.f32 (*.f32 u1 u1) (sqrt.f32 u1)) #s(literal 1/2 binary32) (sqrt.f32 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #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))) (fma.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) u2) u2 (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 (*.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))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 #s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 (+.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) u1))))) (*.f32 u2 u2) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 (+.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) u1)))))
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 (fma.f32 (+.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 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 u1) (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (sin.f32 #s(approx (+ (* u2 314159265359/50000000000) (/ (PI) 2)) (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) (sin.f32 (fma.f32 u2 #s(literal 314159265359/50000000000 binary32) (/.f32 (PI.f32) #s(literal 2 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 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))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 (+.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 #s(approx (+ (* u2 314159265359/50000000000) (/ (PI) 2)) (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (fma.f32 u2 #s(literal 314159265359/50000000000 binary32) (/.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) #s(approx (* (+ 1 u1) u1) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) (*.f32 u1 u1))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 #s(approx (+ (* u2 314159265359/50000000000) (/ (PI) 2)) (*.f32 (fma.f32 (/.f32 (PI.f32) u2) #s(literal 1/2 binary32) #s(literal 314159265359/50000000000 binary32)) u2))))
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.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 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))) (sin.f32 #s(approx (+ (* u2 314159265359/50000000000) (/ (PI) 2)) (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))))
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))) (sin.f32 (fma.f32 u2 #s(literal 314159265359/50000000000 binary32) (/.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) #s(approx (* (+ (* (+ 1 u1) u1) 1) u1) (neg.f32 (*.f32 (-.f32 (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)) #s(literal 1 binary32)) (*.f32 (*.f32 u1 u1) u1)))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (fma.f32 (/.f32 u1 (sqrt.f32 u1)) #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) (sqrt.f32 u1))) (*.f32 u1 u1) (sqrt.f32 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 #s(approx (+ (* (+ 1 u1) u1) 1) (*.f32 (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (*.f32 u1 u1))) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (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))))) (*.f32 u2 u2) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (+ (* (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (*.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 u2)) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (/.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2))))) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 #s(approx (+ (* u2 314159265359/50000000000) (/ (PI) 2)) (/.f32 (-.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)) (*.f32 #s(literal 1/2 binary32) (PI.f32))) (*.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2) (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (/.f32 (-.f32 (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32)))) (-.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (/.f32 (PI.f32) #s(literal 2 binary32))))))
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (/.f32 (-.f32 (pow.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 3 binary32)) #s(literal 1 binary32)) (fma.f32 (/.f32 #s(literal 1 binary32) u1) (/.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))))) u1)))) (sin.f32 #s(approx (+ (* u2 314159265359/50000000000) (/ (PI) 2)) (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) (fma.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (cos.f32 (/.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sin.f32 (/.f32 (PI.f32) #s(literal 2 binary32))))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1))) (fma.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (cos.f32 (/.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sin.f32 (/.f32 (PI.f32) #s(literal 2 binary32))))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (cos.f32 (/.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sin.f32 (/.f32 (PI.f32) #s(literal 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:

130.0ms
cosTheta_i
24.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
23.0ms
u1
23.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
20.0ms
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
Results
AccuracySegmentsBranch
98.7%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
98.7%1(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
98.7%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
98.7%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
98.7%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.7%1cosTheta_i
98.7%1u1
98.7%1u2
Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes128.0ms (3.3%)

Memory
-36.5MiB live, 207.5MiB allocated; 17ms collecting garbage
Counts
56 → 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)) #s(approx (* (+ 1 u1) u1) (*.f32 u1 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) 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 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 #s(literal 1 binary32) (*.f32 u1 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2))) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 #s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))) (*.f32 u2 u2) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (/.f32 (*.f32 u1 u1) (sqrt.f32 u1)) #s(literal 1/2 binary32) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (-.f32 #s(literal 1 binary32) u1)) u1))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) #s(approx (+ (* (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) 98696044010906577398881/5000000000000000000000) (* u2 u2)) 1) (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 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 (fma.f32 (fma.f32 (+.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32)) u1))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 #s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) #s(approx (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (*.f32 (sqrt.f32 u1) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 #s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) #s(approx (+ (* (sqrt u1) -98696044010906577398881/5000000000000000000000) (* (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (sqrt u1))) (*.f32 (sqrt.f32 u1) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (+.f32 (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) u2) u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (*.f32 u2 u2)) (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 98696044010906577398881/5000000000000000000000 binary32))))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) #s(approx (+ (* (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) 98696044010906577398881/5000000000000000000000) (* u2 u2)) 1) (*.f32 (-.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2))))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 #s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (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 (-.f32 (*.f32 (*.f32 #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 (*.f32 #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 (-.f32 (*.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (+ (* (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (fma.f32 (fma.f32 (sqrt.f32 u1) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 u1)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (*.f32 u2 u2) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 #s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (fma.f32 (sqrt.f32 u1) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 u1)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))) (*.f32 u2 u2) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)))) (*.f32 u2 u2) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 #s(approx (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) 98696044010906577398881/5000000000000000000000) (*.f32 (-.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))) (*.f32 u2 u2))) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (+.f32 (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 #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)) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (*.f32 u2 u2)) (-.f32 (*.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32))))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2))) (fma.f32 (-.f32 (*.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 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #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)) #s(approx (+ (* (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) 98696044010906577398881/5000000000000000000000) (* u2 u2)) 1) (*.f32 (-.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 #s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (fma.f32 (sqrt.f32 u1) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (sqrt.f32 u1)))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 #s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (fma.f32 (sqrt.f32 u1) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 u1)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.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 #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (/.f32 (*.f32 u1 u1) (sqrt.f32 u1)) #s(literal 1/2 binary32) (sqrt.f32 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #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))) (fma.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) u2) u2 (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 (*.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))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 #s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 (+.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) u1))))) (*.f32 u2 u2) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 (+.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) u1)))))
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 (fma.f32 (+.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 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 u1) (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (sin.f32 #s(approx (+ (* u2 314159265359/50000000000) (/ (PI) 2)) (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) (sin.f32 (fma.f32 u2 #s(literal 314159265359/50000000000 binary32) (/.f32 (PI.f32) #s(literal 2 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Outputs
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 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)) (fma.f32 (-.f32 (*.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:

18.0ms
u2
17.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
16.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
16.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
16.0ms
cosTheta_i
Results
AccuracySegmentsBranch
97.7%2(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
97.7%2(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
97.7%2(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
97.7%2(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
97.9%2(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
93.5%1cosTheta_i
97.7%2u1
97.7%2u2
Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes105.0ms (2.7%)

Memory
19.9MiB live, 156.9MiB allocated; 8ms 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)) #s(approx (* (+ 1 u1) u1) (*.f32 u1 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) 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 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 #s(literal 1 binary32) (*.f32 u1 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2))) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 #s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))) (*.f32 u2 u2) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (/.f32 (*.f32 u1 u1) (sqrt.f32 u1)) #s(literal 1/2 binary32) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (-.f32 #s(literal 1 binary32) u1)) u1))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) #s(approx (+ (* (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) 98696044010906577398881/5000000000000000000000) (* u2 u2)) 1) (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 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 (fma.f32 (fma.f32 (+.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32)) u1))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 #s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) #s(approx (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (*.f32 (sqrt.f32 u1) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 #s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) #s(approx (+ (* (sqrt u1) -98696044010906577398881/5000000000000000000000) (* (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (sqrt u1))) (*.f32 (sqrt.f32 u1) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (+.f32 (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) u2) u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (*.f32 u2 u2)) (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 98696044010906577398881/5000000000000000000000 binary32))))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) #s(approx (+ (* (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) 98696044010906577398881/5000000000000000000000) (* u2 u2)) 1) (*.f32 (-.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2))))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 #s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (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 (-.f32 (*.f32 (*.f32 #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 (*.f32 #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 (-.f32 (*.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (+ (* (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (fma.f32 (fma.f32 (sqrt.f32 u1) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 u1)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (*.f32 u2 u2) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 #s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (fma.f32 (sqrt.f32 u1) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 u1)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))) (*.f32 u2 u2) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)))) (*.f32 u2 u2) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 #s(approx (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) 98696044010906577398881/5000000000000000000000) (*.f32 (-.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))) (*.f32 u2 u2))) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (+.f32 (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 #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)) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (*.f32 u2 u2)) (-.f32 (*.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32))))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2))) (fma.f32 (-.f32 (*.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 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #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)) #s(approx (+ (* (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) 98696044010906577398881/5000000000000000000000) (* u2 u2)) 1) (*.f32 (-.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 #s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (fma.f32 (sqrt.f32 u1) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (sqrt.f32 u1)))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 #s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (fma.f32 (sqrt.f32 u1) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 u1)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.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 #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (/.f32 (*.f32 u1 u1) (sqrt.f32 u1)) #s(literal 1/2 binary32) (sqrt.f32 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #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))) (fma.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) u2) u2 (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 (*.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))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 #s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 (+.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) u1))))) (*.f32 u2 u2) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 (+.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) u1)))))
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 (fma.f32 (+.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 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 u1) (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (sin.f32 #s(approx (+ (* u2 314159265359/50000000000) (/ (PI) 2)) (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) (sin.f32 (fma.f32 u2 #s(literal 314159265359/50000000000 binary32) (/.f32 (PI.f32) #s(literal 2 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
Outputs
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 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)) (fma.f32 (-.f32 (*.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

7 calls:

16.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
15.0ms
u2
14.0ms
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
14.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
14.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
Results
AccuracySegmentsBranch
93.5%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
93.5%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
93.5%1u1
96.9%2(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
97.0%2(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
97.0%2u2
97.2%2(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Compiler

Compiled 31 to 41 computations (-32.3% saved)

regimes57.0ms (1.5%)

Memory
-4.0MiB live, 95.4MiB allocated; 6ms collecting garbage
Counts
50 → 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)) #s(approx (* (+ 1 u1) u1) (*.f32 u1 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) 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 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 #s(literal 1 binary32) (*.f32 u1 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2))) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 #s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))) (*.f32 u2 u2) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (/.f32 (*.f32 u1 u1) (sqrt.f32 u1)) #s(literal 1/2 binary32) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (-.f32 #s(literal 1 binary32) u1)) u1))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) #s(approx (+ (* (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) 98696044010906577398881/5000000000000000000000) (* u2 u2)) 1) (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 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 (fma.f32 (fma.f32 (+.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32)) u1))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 #s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) #s(approx (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (*.f32 (sqrt.f32 u1) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 #s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) #s(approx (+ (* (sqrt u1) -98696044010906577398881/5000000000000000000000) (* (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (sqrt u1))) (*.f32 (sqrt.f32 u1) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (+.f32 (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) u2) u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (*.f32 u2 u2)) (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 98696044010906577398881/5000000000000000000000 binary32))))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) #s(approx (+ (* (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) 98696044010906577398881/5000000000000000000000) (* u2 u2)) 1) (*.f32 (-.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2))))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 #s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (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 (-.f32 (*.f32 (*.f32 #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 (*.f32 #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 (-.f32 (*.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (+ (* (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (fma.f32 (fma.f32 (sqrt.f32 u1) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 u1)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (*.f32 u2 u2) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 #s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (fma.f32 (sqrt.f32 u1) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 u1)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))) (*.f32 u2 u2) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)))) (*.f32 u2 u2) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 #s(approx (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) 98696044010906577398881/5000000000000000000000) (*.f32 (-.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))) (*.f32 u2 u2))) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (+.f32 (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 #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)) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (*.f32 u2 u2)) (-.f32 (*.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32))))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2))) (fma.f32 (-.f32 (*.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 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #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)) #s(approx (+ (* (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) 98696044010906577398881/5000000000000000000000) (* u2 u2)) 1) (*.f32 (-.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 #s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (fma.f32 (sqrt.f32 u1) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (sqrt.f32 u1)))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 #s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (fma.f32 (sqrt.f32 u1) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 u1)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.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 #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (/.f32 (*.f32 u1 u1) (sqrt.f32 u1)) #s(literal 1/2 binary32) (sqrt.f32 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #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))) (fma.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) u2) u2 (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 (*.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))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 #s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 (+.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) u1))))) (*.f32 u2 u2) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 (+.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) u1)))))
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 (fma.f32 (+.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 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 (-.f32 (*.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

4 calls:

15.0ms
u2
14.0ms
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
13.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
12.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
Results
AccuracySegmentsBranch
93.5%1(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
93.5%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
93.5%1u2
93.5%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Compiler

Compiled 19 to 25 computations (-31.6% saved)

regimes110.0ms (2.8%)

Memory
-1.0MiB live, 144.6MiB allocated; 18ms collecting garbage
Counts
46 → 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)) #s(approx (* (+ 1 u1) u1) (*.f32 u1 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) 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 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 #s(literal 1 binary32) (*.f32 u1 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2))) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 #s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))) (*.f32 u2 u2) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (/.f32 (*.f32 u1 u1) (sqrt.f32 u1)) #s(literal 1/2 binary32) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (-.f32 #s(literal 1 binary32) u1)) u1))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) #s(approx (+ (* (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) 98696044010906577398881/5000000000000000000000) (* u2 u2)) 1) (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 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 (fma.f32 (fma.f32 (+.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32)) u1))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 #s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) #s(approx (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (*.f32 (sqrt.f32 u1) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 #s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) #s(approx (+ (* (sqrt u1) -98696044010906577398881/5000000000000000000000) (* (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (sqrt u1))) (*.f32 (sqrt.f32 u1) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (+.f32 (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) u2) u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (*.f32 u2 u2)) (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 98696044010906577398881/5000000000000000000000 binary32))))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) #s(approx (+ (* (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) 98696044010906577398881/5000000000000000000000) (* u2 u2)) 1) (*.f32 (-.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2))))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 #s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (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 (-.f32 (*.f32 (*.f32 #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 (*.f32 #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 (-.f32 (*.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (+ (* (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (fma.f32 (fma.f32 (sqrt.f32 u1) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 u1)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (*.f32 u2 u2) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 #s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (fma.f32 (sqrt.f32 u1) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 u1)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))) (*.f32 u2 u2) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)))) (*.f32 u2 u2) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 #s(approx (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) 98696044010906577398881/5000000000000000000000) (*.f32 (-.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))) (*.f32 u2 u2))) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (+.f32 (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 #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)) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (*.f32 u2 u2)) (-.f32 (*.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32))))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2))) (fma.f32 (-.f32 (*.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 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #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)) #s(approx (+ (* (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) 98696044010906577398881/5000000000000000000000) (* u2 u2)) 1) (*.f32 (-.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 #s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (fma.f32 (sqrt.f32 u1) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (sqrt.f32 u1)))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 #s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (fma.f32 (sqrt.f32 u1) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 u1)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.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 #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (/.f32 (*.f32 u1 u1) (sqrt.f32 u1)) #s(literal 1/2 binary32) (sqrt.f32 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #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))) (fma.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) u2) u2 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
Outputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) u2) u2 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
Calls

8 calls:

22.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
13.0ms
cosTheta_i
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)))
12.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
Results
AccuracySegmentsBranch
91.6%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
91.6%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
91.6%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
91.6%1cosTheta_i
91.6%1u1
91.6%1u2
91.6%1(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
91.6%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes100.0ms (2.6%)

Memory
34.3MiB live, 171.0MiB allocated; 9ms 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)) #s(approx (* (+ 1 u1) u1) (*.f32 u1 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) 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 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 #s(literal 1 binary32) (*.f32 u1 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2))) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 #s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))) (*.f32 u2 u2) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (/.f32 (*.f32 u1 u1) (sqrt.f32 u1)) #s(literal 1/2 binary32) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (-.f32 #s(literal 1 binary32) u1)) u1))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) #s(approx (+ (* (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) 98696044010906577398881/5000000000000000000000) (* u2 u2)) 1) (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 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 (fma.f32 (fma.f32 (+.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32)) u1))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 #s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) #s(approx (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (*.f32 (sqrt.f32 u1) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 #s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) #s(approx (+ (* (sqrt u1) -98696044010906577398881/5000000000000000000000) (* (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (sqrt u1))) (*.f32 (sqrt.f32 u1) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (+.f32 (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) u2) u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (*.f32 u2 u2)) (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 98696044010906577398881/5000000000000000000000 binary32))))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) #s(approx (+ (* (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) 98696044010906577398881/5000000000000000000000) (* u2 u2)) 1) (*.f32 (-.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2))))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 #s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (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 (-.f32 (*.f32 (*.f32 #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 (*.f32 #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 (-.f32 (*.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (+ (* (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (fma.f32 (fma.f32 (sqrt.f32 u1) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 u1)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (*.f32 u2 u2) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 #s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (fma.f32 (sqrt.f32 u1) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 u1)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))) (*.f32 u2 u2) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)))) (*.f32 u2 u2) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 #s(approx (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) 98696044010906577398881/5000000000000000000000) (*.f32 (-.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))) (*.f32 u2 u2))) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (+.f32 (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 #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)) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (*.f32 u2 u2)) (-.f32 (*.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32))))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2))) (fma.f32 (-.f32 (*.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 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #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)) #s(approx (+ (* (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) 98696044010906577398881/5000000000000000000000) (* u2 u2)) 1) (*.f32 (-.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 #s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (fma.f32 (sqrt.f32 u1) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (sqrt.f32 u1)))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 #s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (fma.f32 (sqrt.f32 u1) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 u1)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.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 #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (/.f32 (*.f32 u1 u1) (sqrt.f32 u1)) #s(literal 1/2 binary32) (sqrt.f32 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 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)) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (*.f32 u2 u2)) (-.f32 (*.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32))))))
Calls

8 calls:

14.0ms
cosTheta_i
14.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
12.0ms
(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)))
12.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
Results
AccuracySegmentsBranch
91.5%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
91.5%1u2
91.5%1(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
91.5%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
91.5%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
91.5%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
91.5%1cosTheta_i
91.5%1u1
Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes84.0ms (2.1%)

Memory
-3.9MiB live, 142.1MiB allocated; 9ms collecting garbage
Counts
36 → 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)) #s(approx (* (+ 1 u1) u1) (*.f32 u1 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) 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 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 #s(literal 1 binary32) (*.f32 u1 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2))) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 #s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))) (*.f32 u2 u2) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (/.f32 (*.f32 u1 u1) (sqrt.f32 u1)) #s(literal 1/2 binary32) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (-.f32 #s(literal 1 binary32) u1)) u1))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) #s(approx (+ (* (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) 98696044010906577398881/5000000000000000000000) (* u2 u2)) 1) (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 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 (fma.f32 (fma.f32 (+.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32)) u1))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 #s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) #s(approx (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (*.f32 (sqrt.f32 u1) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 #s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) #s(approx (+ (* (sqrt u1) -98696044010906577398881/5000000000000000000000) (* (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (sqrt u1))) (*.f32 (sqrt.f32 u1) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (+.f32 (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) u2) u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (*.f32 u2 u2)) (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 98696044010906577398881/5000000000000000000000 binary32))))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) #s(approx (+ (* (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) 98696044010906577398881/5000000000000000000000) (* u2 u2)) 1) (*.f32 (-.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2))))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 #s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (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 (-.f32 (*.f32 (*.f32 #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 (*.f32 #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 (-.f32 (*.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (+ (* (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (fma.f32 (fma.f32 (sqrt.f32 u1) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 u1)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (*.f32 u2 u2) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 #s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (fma.f32 (sqrt.f32 u1) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 u1)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))) (*.f32 u2 u2) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)))) (*.f32 u2 u2) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 #s(approx (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) 98696044010906577398881/5000000000000000000000) (*.f32 (-.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))) (*.f32 u2 u2))) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (+.f32 (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 #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)) (+.f32 (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) u2) u2) #s(literal 1 binary32))))
Calls

8 calls:

11.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
11.0ms
u2
10.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
10.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
10.0ms
u1
Results
AccuracySegmentsBranch
91.5%1cosTheta_i
91.5%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
91.5%1u2
91.5%1(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
91.5%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
91.5%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
91.5%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
91.5%1u1
Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes82.0ms (2.1%)

Memory
-7.3MiB live, 137.4MiB allocated; 9ms collecting garbage
Counts
35 → 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)) #s(approx (* (+ 1 u1) u1) (*.f32 u1 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) 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 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 #s(literal 1 binary32) (*.f32 u1 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2))) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 #s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))) (*.f32 u2 u2) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (/.f32 (*.f32 u1 u1) (sqrt.f32 u1)) #s(literal 1/2 binary32) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (-.f32 #s(literal 1 binary32) u1)) u1))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) #s(approx (+ (* (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) 98696044010906577398881/5000000000000000000000) (* u2 u2)) 1) (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 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 (fma.f32 (fma.f32 (+.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32)) u1))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 #s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) #s(approx (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (*.f32 (sqrt.f32 u1) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 #s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) #s(approx (+ (* (sqrt u1) -98696044010906577398881/5000000000000000000000) (* (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (sqrt u1))) (*.f32 (sqrt.f32 u1) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (+.f32 (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) u2) u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (*.f32 u2 u2)) (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 98696044010906577398881/5000000000000000000000 binary32))))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) #s(approx (+ (* (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) 98696044010906577398881/5000000000000000000000) (* u2 u2)) 1) (*.f32 (-.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2))))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 #s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (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 (-.f32 (*.f32 (*.f32 #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 (*.f32 #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 (-.f32 (*.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (+ (* (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (fma.f32 (fma.f32 (sqrt.f32 u1) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 u1)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (*.f32 u2 u2) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 #s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (fma.f32 (sqrt.f32 u1) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 u1)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))) (*.f32 u2 u2) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)))) (*.f32 u2 u2) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 #s(approx (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) 98696044010906577398881/5000000000000000000000) (*.f32 (-.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))) (*.f32 u2 u2))) (*.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 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
Calls

8 calls:

12.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
12.0ms
u1
11.0ms
cosTheta_i
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)))
Results
AccuracySegmentsBranch
91.5%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
91.5%1(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
91.5%1cosTheta_i
91.5%1u2
91.5%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
91.5%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
91.5%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
91.5%1u1
Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes73.0ms (1.9%)

Memory
-26.4MiB live, 118.2MiB allocated; 12ms 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)) #s(approx (* (+ 1 u1) u1) (*.f32 u1 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) 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 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 #s(literal 1 binary32) (*.f32 u1 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2))) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 #s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))) (*.f32 u2 u2) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (/.f32 (*.f32 u1 u1) (sqrt.f32 u1)) #s(literal 1/2 binary32) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (-.f32 #s(literal 1 binary32) u1)) u1))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) #s(approx (+ (* (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) 98696044010906577398881/5000000000000000000000) (* u2 u2)) 1) (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 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 (fma.f32 (fma.f32 (+.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32)) u1))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 #s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) #s(approx (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (*.f32 (sqrt.f32 u1) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 #s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) #s(approx (+ (* (sqrt u1) -98696044010906577398881/5000000000000000000000) (* (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (sqrt u1))) (*.f32 (sqrt.f32 u1) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (+.f32 (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) u2) u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (*.f32 u2 u2)) (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 98696044010906577398881/5000000000000000000000 binary32))))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) #s(approx (+ (* (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) 98696044010906577398881/5000000000000000000000) (* u2 u2)) 1) (*.f32 (-.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2))))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 #s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (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 (-.f32 (*.f32 (*.f32 #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 (-.f32 (*.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32))))
Calls

8 calls:

12.0ms
cosTheta_i
10.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
10.0ms
u2
8.0ms
u1
8.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Results
AccuracySegmentsBranch
91.5%1cosTheta_i
91.5%1(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
91.5%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
91.5%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
91.5%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
91.5%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
91.5%1u1
91.5%1u2
Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes67.0ms (1.7%)

Memory
15.4MiB live, 107.2MiB allocated; 7ms collecting garbage
Counts
28 → 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)) #s(approx (* (+ 1 u1) u1) (*.f32 u1 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) 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 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 #s(literal 1 binary32) (*.f32 u1 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2))) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 #s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))) (*.f32 u2 u2) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (/.f32 (*.f32 u1 u1) (sqrt.f32 u1)) #s(literal 1/2 binary32) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (-.f32 #s(literal 1 binary32) u1)) u1))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) #s(approx (+ (* (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) 98696044010906577398881/5000000000000000000000) (* u2 u2)) 1) (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 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 (fma.f32 (fma.f32 (+.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32)) u1))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 #s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) #s(approx (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (*.f32 (sqrt.f32 u1) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 #s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) #s(approx (+ (* (sqrt u1) -98696044010906577398881/5000000000000000000000) (* (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (sqrt u1))) (*.f32 (sqrt.f32 u1) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (+.f32 (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) u2) u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (*.f32 u2 u2)) (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 98696044010906577398881/5000000000000000000000 binary32))))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) #s(approx (+ (* (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) 98696044010906577398881/5000000000000000000000) (* u2 u2)) 1) (*.f32 (-.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2))))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 #s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
Outputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 #s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
Calls

8 calls:

10.0ms
u2
10.0ms
(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
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
8.0ms
u1
Results
AccuracySegmentsBranch
88.3%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
88.3%1cosTheta_i
88.3%1u2
88.3%1(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
88.3%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
88.3%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
88.3%1u1
88.3%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes65.0ms (1.7%)

Memory
-6.4MiB live, 93.3MiB allocated; 11ms collecting garbage
Counts
26 → 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)) #s(approx (* (+ 1 u1) u1) (*.f32 u1 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) 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 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 #s(literal 1 binary32) (*.f32 u1 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2))) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 #s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))) (*.f32 u2 u2) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (/.f32 (*.f32 u1 u1) (sqrt.f32 u1)) #s(literal 1/2 binary32) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (-.f32 #s(literal 1 binary32) u1)) u1))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) #s(approx (+ (* (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) 98696044010906577398881/5000000000000000000000) (* u2 u2)) 1) (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 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 (fma.f32 (fma.f32 (+.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32)) u1))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 #s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) #s(approx (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (*.f32 (sqrt.f32 u1) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 #s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) #s(approx (+ (* (sqrt u1) -98696044010906577398881/5000000000000000000000) (* (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (sqrt u1))) (*.f32 (sqrt.f32 u1) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (+.f32 (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) u2) u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (*.f32 u2 u2)) (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 98696044010906577398881/5000000000000000000000 binary32))))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) #s(approx (+ (* (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) 98696044010906577398881/5000000000000000000000) (* u2 u2)) 1) (*.f32 (-.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2))))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #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 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
Calls

8 calls:

12.0ms
cosTheta_i
10.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
7.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
7.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
7.0ms
u1
Results
AccuracySegmentsBranch
88.3%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
88.3%1cosTheta_i
88.3%1u2
88.3%1(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
88.3%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
88.3%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
88.3%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
88.3%1u1
Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes39.0ms (1%)

Memory
25.6MiB live, 71.7MiB allocated; 2ms collecting garbage
Counts
15 → 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)) #s(approx (* (+ 1 u1) u1) (*.f32 u1 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) 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 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 #s(literal 1 binary32) (*.f32 u1 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2))) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 #s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))) (*.f32 u2 u2) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (/.f32 (*.f32 u1 u1) (sqrt.f32 u1)) #s(literal 1/2 binary32) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (-.f32 #s(literal 1 binary32) u1)) u1))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) #s(approx (+ (* (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) 98696044010906577398881/5000000000000000000000) (* u2 u2)) 1) (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 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 (fma.f32 (fma.f32 (+.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32)) u1))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
Outputs
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
Calls

8 calls:

6.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
5.0ms
u2
5.0ms
(*.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)))
4.0ms
u1
Results
AccuracySegmentsBranch
84.7%2(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
84.7%2(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
84.9%2(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
79.7%1cosTheta_i
84.7%2u2
84.8%2(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
84.8%2(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
84.8%2u1
Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes38.0ms (1%)

Memory
-27.1MiB live, 64.8MiB allocated; 7ms collecting garbage
Counts
14 → 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)) #s(approx (* (+ 1 u1) u1) (*.f32 u1 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) 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 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 #s(literal 1 binary32) (*.f32 u1 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2))) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 #s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))) (*.f32 u2 u2) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (/.f32 (*.f32 u1 u1) (sqrt.f32 u1)) #s(literal 1/2 binary32) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (-.f32 #s(literal 1 binary32) u1)) u1))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) #s(approx (+ (* (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) 98696044010906577398881/5000000000000000000000) (* u2 u2)) 1) (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 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 (fma.f32 (fma.f32 (+.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32)) u1))))
Outputs
#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)) u1)) #s(approx (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2))) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
Calls

8 calls:

7.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
6.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
4.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
4.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
4.0ms
cosTheta_i
Results
AccuracySegmentsBranch
78.1%1cosTheta_i
82.1%2(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
82.1%2(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
82.1%2u2
81.4%2(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
81.4%2(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
81.4%2u1
81.9%2(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes21.0ms (0.5%)

Memory
-16.9MiB live, 36.0MiB allocated; 5ms collecting garbage
Counts
6 → 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)) #s(approx (* (+ 1 u1) u1) (*.f32 u1 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) 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 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 #s(literal 1 binary32) (*.f32 u1 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
Outputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
Calls

7 calls:

6.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
2.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
2.0ms
u2
2.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
2.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
Results
AccuracySegmentsBranch
78.1%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
78.1%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
78.1%1u1
78.1%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
78.1%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
78.1%1(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
78.1%1u2
Compiler

Compiled 31 to 41 computations (-32.3% saved)

regimes13.0ms (0.3%)

Memory
30.2MiB live, 30.2MiB allocated; 0ms collecting garbage
Counts
3 → 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)) #s(approx (* (+ 1 u1) u1) (*.f32 u1 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1))))
Outputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1))))
Calls

8 calls:

2.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
2.0ms
cosTheta_i
2.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
2.0ms
u2
2.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
Results
AccuracySegmentsBranch
72.0%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
72.0%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
72.0%1cosTheta_i
72.0%1u1
72.0%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
72.0%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
72.0%1(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
72.0%1u2
Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes13.0ms (0.3%)

Memory
-20.4MiB live, 25.8MiB allocated; 2ms collecting garbage
Accuracy

Total -14.2b remaining (-120.8%)

Threshold costs -14.2b (-120.8%)

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

8 calls:

3.0ms
u1
2.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
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
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
Results
AccuracySegmentsBranch
63.2%1(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
63.2%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
63.2%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
63.2%1u1
63.2%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
63.2%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
63.2%1u2
63.2%1cosTheta_i
Compiler

Compiled 32 to 44 computations (-37.5% saved)

bsearch1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.015100470744073391
0.015557318925857544
Compiler

Compiled 14 to 17 computations (-21.4% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.00017690472304821014
0.00017793972801882774
Compiler

Compiled 14 to 17 computations (-21.4% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0303498525172472
0.030972274020314217
Compiler

Compiled 14 to 17 computations (-21.4% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
0.0ms
0.0018462525913491845
0.0020664038602262735
Compiler

Compiled 14 to 17 computations (-21.4% saved)

derivations144.0ms (3.7%)

Memory
33.9MiB live, 178.5MiB allocated; 9ms collecting garbage
Stop Event
fuel
Compiler

Compiled 524 to 102 computations (80.5% saved)

preprocess150.0ms (3.8%)

Memory
-0.9MiB live, 325.9MiB allocated; 27ms collecting garbage
Remove

(abs u2)

(abs cosTheta_i)

Compiler

Compiled 2 631 to 1 529 computations (41.9% saved)

end0.0ms (0%)

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

Profiling

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