Trowbridge-Reitz Sample, near normal, slope_x

Time bar (total: 2.9s)

start0.0ms (0%)

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

analyze146.0ms (5.1%)

Memory
11.9MiB live, 294.8MiB allocated; 25ms collecting garbage
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%0%100%0%0%0%0
0%0%0%100%0%0%0%1
0%0%0%100%0%0%0%2
0%0%0%100%0%0%0%3
0%0%0%100%0%0%0%4
0%0%0%100%0%0%0%5
18.7%0%0%100%0%0%0%6
28.1%0%0%100%0%0%0%7
32.8%0%0%100%0%0%0%8
49.2%0%0%100%0%0%0%9
57.4%0%0%100%0%0%0%10
61.5%0%0%100%0%0%0%11
71.8%0%0%100%0%0%0%12
Compiler

Compiled 35 to 25 computations (28.6% saved)

sample777.0ms (27.2%)

Memory
35.5MiB live, 1 465.9MiB allocated; 218ms collecting garbage
Samples
571.0ms8 250×0valid
1.0ms6×1valid
0.0ms4×0invalid
Precisions
Click to see histograms. Total time spent on operations: 350.0ms
ival-cos: 124.0ms (35.4% of total)
ival-mult!: 78.0ms (22.3% of total)
ival-sqrt: 62.0ms (17.7% of total)
ival-div!: 44.0ms (12.6% of total)
ival-sub!: 28.0ms (8% of total)
ival-<=: 5.0ms (1.4% of total)
ival-and: 4.0ms (1.1% of total)
adjust: 2.0ms (0.6% of total)
ival->: 2.0ms (0.6% of total)
ival-assert: 1.0ms (0.3% of total)
const: 0.0ms (0% of total)
Bogosity

preprocess57.0ms (2%)

Memory
-25.7MiB live, 66.1MiB allocated; 6ms collecting garbage
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
036117
195117
2213117
3595115
43207115
Stop Event
1×node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.0%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Symmetry

(abs cosTheta_i)

(abs u2)

Compiler

Compiled 20 to 22 computations (-10% saved)

series9.0ms (0.3%)

Memory
20.6MiB live, 20.6MiB 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)

rewrite95.0ms (3.3%)

Memory
-0.4MiB live, 102.7MiB allocated; 12ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02551303
02631106
015961073
Stop Event
1×iter-limit
1×iter-limit
1×node-limit
1×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 (0.2%)

Memory
13.8MiB live, 13.8MiB allocated; 0ms collecting garbage
Compiler

Compiled 698 to 302 computations (56.7% saved)

prune10.0ms (0.3%)

Memory
-24.3MiB live, 22.0MiB allocated; 2ms collecting garbage
Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New431356
Fresh000
Picked011
Done000
Total431457
Accuracy
99.6%
Counts
57 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.6%
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
▶98.8%
(*.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)))
▶98.8%
(*.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)))))
✓99.0%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
93.7%
(*.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))))
▶91.8%
(*.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))))
88.9%
(*.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))))
98.7%
(*.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)))
90.4%
(*.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)))
▶85.5%
(*.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)))
72.2%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
92.0%
(*.f32 #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))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
89.0%
#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)))))
▶80.7%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
Compiler

Compiled 436 to 439 computations (-0.7% saved)

series23.0ms (0.8%)

Memory
4.0MiB live, 49.8MiB allocated; 2ms collecting garbage
Counts
35 → 91
Calls
Call 1
Inputs
(*.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)))
(sqrt.f32 (/.f32 u1 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) u1))))
(/.f32 u1 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) u1)))
u1
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) u1))
(-.f32 #s(literal 1 binary32) (*.f32 u1 u1))
#s(literal 1 binary32)
(*.f32 u1 u1)
(+.f32 #s(literal 1 binary32) u1)
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
#s(literal 314159265359/50000000000 binary32)
u2
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(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 (/.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)
(*.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 (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)))))
(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))
(PI.f32)
#s(literal 2 binary32)
Outputs
#s(approx (* (sqrt (/ u1 (/ (- 1 (* u1 u1)) (+ 1 u1)))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (* (cos (* 314159265359/50000000000 u2)) (sqrt u1))))
#s(approx (* (sqrt (/ u1 (/ (- 1 (* u1 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 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 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 u1)) (+ 1 u1)))) #s(hole binary32 (sqrt u1)))
#s(approx (sqrt (/ u1 (/ (- 1 (* u1 u1)) (+ 1 u1)))) #s(hole binary32 (+ (sqrt u1) (* 1/2 (/ (pow u1 2) (sqrt u1))))))
#s(approx (sqrt (/ u1 (/ (- 1 (* u1 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 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 u1)) (+ 1 u1))) #s(hole binary32 u1))
#s(approx (/ u1 (/ (- 1 (* u1 u1)) (+ 1 u1))) #s(hole binary32 (* u1 (+ 1 u1))))
#s(approx (/ u1 (/ (- 1 (* u1 u1)) (+ 1 u1))) #s(hole binary32 (* u1 (+ 1 (* u1 (+ 1 u1))))))
#s(approx (/ u1 (/ (- 1 (* u1 u1)) (+ 1 u1))) #s(hole binary32 (* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))))
#s(approx (/ (- 1 (* u1 u1)) (+ 1 u1)) #s(hole binary32 1))
#s(approx (/ (- 1 (* u1 u1)) (+ 1 u1)) #s(hole binary32 (+ 1 (* -1 u1))))
#s(approx (- 1 (* u1 u1)) #s(hole binary32 (+ 1 (* -1 (pow u1 2)))))
#s(approx (* u1 u1) #s(hole binary32 (pow u1 2)))
#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 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 u1)) (+ 1 u1)))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))
#s(approx (* (sqrt (/ u1 (/ (- 1 (* u1 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 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 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 u1)) (+ 1 u1)))) #s(hole binary32 (sqrt -1)))
#s(approx (sqrt (/ u1 (/ (- 1 (* u1 u1)) (+ 1 u1)))) #s(hole binary32 (- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))))
#s(approx (sqrt (/ u1 (/ (- 1 (* u1 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 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 u1)) (+ 1 u1))) #s(hole binary32 -1))
#s(approx (/ u1 (/ (- 1 (* u1 u1)) (+ 1 u1))) #s(hole binary32 (* -1 (+ 1 (/ 1 u1)))))
#s(approx (/ u1 (/ (- 1 (* u1 u1)) (+ 1 u1))) #s(hole binary32 (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)))
#s(approx (/ u1 (/ (- 1 (* u1 u1)) (+ 1 u1))) #s(hole binary32 (- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))))
#s(approx (/ (- 1 (* u1 u1)) (+ 1 u1)) #s(hole binary32 (* -1 u1)))
#s(approx (/ (- 1 (* u1 u1)) (+ 1 u1)) #s(hole binary32 (* u1 (- (/ 1 u1) 1))))
#s(approx (- 1 (* u1 u1)) #s(hole binary32 (* -1 (pow u1 2))))
#s(approx (- 1 (* u1 u1)) #s(hole binary32 (* (pow u1 2) (- (/ 1 (pow u1 2)) 1))))
#s(approx (+ 1 u1) #s(hole binary32 (* u1 (+ 1 (/ 1 u1)))))
#s(approx (* (+ 1 u1) u1) #s(hole binary32 (* (pow u1 2) (+ 1 (/ 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 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 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 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 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 u1)) (+ 1 u1))) #s(hole binary32 (- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)))
#s(approx (/ (- 1 (* u1 u1)) (+ 1 u1)) #s(hole binary32 (* -1 (* 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 u1)) (+ 1 u1)))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2))))))
#s(approx (* (sqrt (/ u1 (/ (- 1 (* u1 u1)) (+ 1 u1)))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))))))))
#s(approx (* (sqrt (/ u1 (/ (- 1 (* u1 u1)) (+ 1 u1)))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))))))))))
#s(approx (* (sqrt (/ u1 (/ (- 1 (* u1 u1)) (+ 1 u1)))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2))))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 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 (* 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)) 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 (* (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 (* (sqrt (/ u1 (/ (- 1 (* u1 u1)) (+ 1 u1)))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (* (cos (* 314159265359/50000000000 u2)) (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))))))
#s(approx (cos (* 314159265359/50000000000 u2)) #s(hole binary32 (cos (* 314159265359/50000000000 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)) 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 (* (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))) (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
u2
@inf
((* (sqrt (/ u1 (/ (- 1 (* u1 u1)) (+ 1 u1)))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (/ (- 1 (* u1 u1)) (+ 1 u1)))) (/ u1 (/ (- 1 (* u1 u1)) (+ 1 u1))) u1 (/ (- 1 (* u1 u1)) (+ 1 u1)) (- 1 (* u1 u1)) 1 (* u1 u1) (+ 1 u1) (cos (* 314159265359/50000000000 u2)) (* 314159265359/50000000000 u2) 314159265359/50000000000 u2 (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (* (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))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (* (+ 1 u1) u1) (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2)))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2))) (+ (* u2 314159265359/50000000000) (/ (PI) 2)) (/ (PI) 2) (PI) 2)
3.0ms
u2
@-inf
((* (sqrt (/ u1 (/ (- 1 (* u1 u1)) (+ 1 u1)))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (/ (- 1 (* u1 u1)) (+ 1 u1)))) (/ u1 (/ (- 1 (* u1 u1)) (+ 1 u1))) u1 (/ (- 1 (* u1 u1)) (+ 1 u1)) (- 1 (* u1 u1)) 1 (* u1 u1) (+ 1 u1) (cos (* 314159265359/50000000000 u2)) (* 314159265359/50000000000 u2) 314159265359/50000000000 u2 (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (* (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))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (* (+ 1 u1) u1) (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2)))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2))) (+ (* u2 314159265359/50000000000) (/ (PI) 2)) (/ (PI) 2) (PI) 2)
3.0ms
u1
@inf
((* (sqrt (/ u1 (/ (- 1 (* u1 u1)) (+ 1 u1)))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (/ (- 1 (* u1 u1)) (+ 1 u1)))) (/ u1 (/ (- 1 (* u1 u1)) (+ 1 u1))) u1 (/ (- 1 (* u1 u1)) (+ 1 u1)) (- 1 (* u1 u1)) 1 (* u1 u1) (+ 1 u1) (cos (* 314159265359/50000000000 u2)) (* 314159265359/50000000000 u2) 314159265359/50000000000 u2 (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (* (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))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (* (+ 1 u1) u1) (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2)))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2))) (+ (* u2 314159265359/50000000000) (/ (PI) 2)) (/ (PI) 2) (PI) 2)
3.0ms
u2
@0
((* (sqrt (/ u1 (/ (- 1 (* u1 u1)) (+ 1 u1)))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (/ (- 1 (* u1 u1)) (+ 1 u1)))) (/ u1 (/ (- 1 (* u1 u1)) (+ 1 u1))) u1 (/ (- 1 (* u1 u1)) (+ 1 u1)) (- 1 (* u1 u1)) 1 (* u1 u1) (+ 1 u1) (cos (* 314159265359/50000000000 u2)) (* 314159265359/50000000000 u2) 314159265359/50000000000 u2 (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (* (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))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (* (+ 1 u1) u1) (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2)))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2))) (+ (* u2 314159265359/50000000000) (/ (PI) 2)) (/ (PI) 2) (PI) 2)
2.0ms
u1
@-inf
((* (sqrt (/ u1 (/ (- 1 (* u1 u1)) (+ 1 u1)))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (/ (- 1 (* u1 u1)) (+ 1 u1)))) (/ u1 (/ (- 1 (* u1 u1)) (+ 1 u1))) u1 (/ (- 1 (* u1 u1)) (+ 1 u1)) (- 1 (* u1 u1)) 1 (* u1 u1) (+ 1 u1) (cos (* 314159265359/50000000000 u2)) (* 314159265359/50000000000 u2) 314159265359/50000000000 u2 (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (* (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))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (* (+ 1 u1) u1) (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2)))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2))) (+ (* u2 314159265359/50000000000) (/ (PI) 2)) (/ (PI) 2) (PI) 2)

rewrite121.0ms (4.2%)

Memory
5.9MiB live, 148.8MiB allocated; 7ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04893307
05322680
029402583
Stop Event
1×iter-limit
1×iter-limit
1×node-limit
1×iter-limit
Counts
126 → 196
Calls
Call 1
Inputs
(*.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)))
(sqrt.f32 (/.f32 u1 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) u1))))
(/.f32 u1 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) u1)))
u1
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) u1))
(-.f32 #s(literal 1 binary32) (*.f32 u1 u1))
#s(literal 1 binary32)
(*.f32 u1 u1)
(+.f32 #s(literal 1 binary32) u1)
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
#s(literal 314159265359/50000000000 binary32)
u2
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(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 (/.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)
(*.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 (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)))))
(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))
(PI.f32)
#s(literal 2 binary32)
#s(approx (* (sqrt (/ u1 (/ (- 1 (* u1 u1)) (+ 1 u1)))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (* (cos (* 314159265359/50000000000 u2)) (sqrt u1))))
#s(approx (* (sqrt (/ u1 (/ (- 1 (* u1 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 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 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 u1)) (+ 1 u1)))) #s(hole binary32 (sqrt u1)))
#s(approx (sqrt (/ u1 (/ (- 1 (* u1 u1)) (+ 1 u1)))) #s(hole binary32 (+ (sqrt u1) (* 1/2 (/ (pow u1 2) (sqrt u1))))))
#s(approx (sqrt (/ u1 (/ (- 1 (* u1 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 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 u1)) (+ 1 u1))) #s(hole binary32 u1))
#s(approx (/ u1 (/ (- 1 (* u1 u1)) (+ 1 u1))) #s(hole binary32 (* u1 (+ 1 u1))))
#s(approx (/ u1 (/ (- 1 (* u1 u1)) (+ 1 u1))) #s(hole binary32 (* u1 (+ 1 (* u1 (+ 1 u1))))))
#s(approx (/ u1 (/ (- 1 (* u1 u1)) (+ 1 u1))) #s(hole binary32 (* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))))
#s(approx (/ (- 1 (* u1 u1)) (+ 1 u1)) #s(hole binary32 1))
#s(approx (/ (- 1 (* u1 u1)) (+ 1 u1)) #s(hole binary32 (+ 1 (* -1 u1))))
#s(approx (- 1 (* u1 u1)) #s(hole binary32 (+ 1 (* -1 (pow u1 2)))))
#s(approx (* u1 u1) #s(hole binary32 (pow u1 2)))
#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 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 u1)) (+ 1 u1)))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))
#s(approx (* (sqrt (/ u1 (/ (- 1 (* u1 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 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 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 u1)) (+ 1 u1)))) #s(hole binary32 (sqrt -1)))
#s(approx (sqrt (/ u1 (/ (- 1 (* u1 u1)) (+ 1 u1)))) #s(hole binary32 (- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))))
#s(approx (sqrt (/ u1 (/ (- 1 (* u1 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 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 u1)) (+ 1 u1))) #s(hole binary32 -1))
#s(approx (/ u1 (/ (- 1 (* u1 u1)) (+ 1 u1))) #s(hole binary32 (* -1 (+ 1 (/ 1 u1)))))
#s(approx (/ u1 (/ (- 1 (* u1 u1)) (+ 1 u1))) #s(hole binary32 (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)))
#s(approx (/ u1 (/ (- 1 (* u1 u1)) (+ 1 u1))) #s(hole binary32 (- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))))
#s(approx (/ (- 1 (* u1 u1)) (+ 1 u1)) #s(hole binary32 (* -1 u1)))
#s(approx (/ (- 1 (* u1 u1)) (+ 1 u1)) #s(hole binary32 (* u1 (- (/ 1 u1) 1))))
#s(approx (- 1 (* u1 u1)) #s(hole binary32 (* -1 (pow u1 2))))
#s(approx (- 1 (* u1 u1)) #s(hole binary32 (* (pow u1 2) (- (/ 1 (pow u1 2)) 1))))
#s(approx (+ 1 u1) #s(hole binary32 (* u1 (+ 1 (/ 1 u1)))))
#s(approx (* (+ 1 u1) u1) #s(hole binary32 (* (pow u1 2) (+ 1 (/ 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 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 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 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 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 u1)) (+ 1 u1))) #s(hole binary32 (- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)))
#s(approx (/ (- 1 (* u1 u1)) (+ 1 u1)) #s(hole binary32 (* -1 (* 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 u1)) (+ 1 u1)))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2))))))
#s(approx (* (sqrt (/ u1 (/ (- 1 (* u1 u1)) (+ 1 u1)))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))))))))
#s(approx (* (sqrt (/ u1 (/ (- 1 (* u1 u1)) (+ 1 u1)))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))))))))))
#s(approx (* (sqrt (/ u1 (/ (- 1 (* u1 u1)) (+ 1 u1)))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2))))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 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 (* 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)) 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 (* (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 (* (sqrt (/ u1 (/ (- 1 (* u1 u1)) (+ 1 u1)))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (* (cos (* 314159265359/50000000000 u2)) (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))))))
#s(approx (cos (* 314159265359/50000000000 u2)) #s(hole binary32 (cos (* 314159265359/50000000000 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)) 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 (* (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))) (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 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 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))
(/.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 (*.f32 u1 u1) u1)) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (*.f32 #s(literal 1 binary32) u1))))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (neg.f32 (+.f32 #s(literal 1 binary32) u1)))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) u1))
(-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1)))
(-.f32 #s(literal 1 binary32) u1)
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 u1) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) (*.f32 u1 u1)))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 u1 u1) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (fma.f32 (*.f32 u1 u1) (*.f32 u1 u1) (*.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
(-.f32 #s(literal 1 binary32) (*.f32 u1 u1))
(+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 u1) u1))
#s(literal 1 binary32)
(*.f32 (fabs.f32 u1) (fabs.f32 u1))
(*.f32 (neg.f32 u1) (neg.f32 u1))
(*.f32 (*.f32 (sqrt.f32 u1) (sqrt.f32 u1)) (*.f32 (sqrt.f32 u1) (sqrt.f32 u1)))
(*.f32 u1 u1)
(pow.f32 u1 #s(literal 2 binary32))
(exp.f32 (*.f32 (log.f32 u1) #s(literal 2 binary32)))
(/.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 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (-.f32 #s(literal 1 binary32) u1))
(+.f32 #s(literal 1 binary32) u1)
(+.f32 u1 #s(literal 1 binary32))
(fma.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (cos.f32 (/.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sin.f32 (/.f32 (PI.f32) #s(literal 2 binary32)))))
(sin.f32 (fma.f32 u2 #s(literal 314159265359/50000000000 binary32) (/.f32 (PI.f32) #s(literal 2 binary32))))
(+.f32 (*.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (cos.f32 (/.f32 (PI.f32) #s(literal 2 binary32)))) (*.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sin.f32 (/.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))) (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 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))
(/.f32 (neg.f32 u1) (neg.f32 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 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 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (neg.f32 (+.f32 #s(literal 1 binary32) u1)))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) u1))
(-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1)))
(-.f32 #s(literal 1 binary32) u1)
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#s(approx (sqrt (/ u1 (/ (- 1 (* u1 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 u1)) (+ 1 u1)) (neg.f32 u1))
#s(approx (/ (- 1 (* u1 u1)) (+ 1 u1)) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1))
#s(approx (- 1 (* u1 u1)) (neg.f32 (*.f32 u1 u1)))
#s(approx (- 1 (* u1 u1)) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal 1 binary32)) (*.f32 u1 u1)))
#s(approx (+ 1 u1) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1))
#s(approx (* (+ 1 u1) u1) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) (*.f32 u1 u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (fma.f32 (PI.f32) #s(literal 1/2 binary32) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) #s(literal 1/2 binary32) (*.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)) (sin.f32 (fma.f32 (PI.f32) #s(literal 1/2 binary32) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) #s(literal 1/2 binary32) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) #s(literal -1/2 binary32) (fma.f32 (*.f32 (sin.f32 (fma.f32 (PI.f32) #s(literal 1/2 binary32) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (/.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 (PI.f32) #s(literal 1/2 binary32) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) #s(literal 1/2 binary32) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) #s(literal -1/2 binary32) (fma.f32 (*.f32 (sin.f32 (fma.f32 (PI.f32) #s(literal 1/2 binary32) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (/.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 (PI.f32) #s(literal 1/2 binary32) (*.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)) (sin.f32 (fma.f32 (PI.f32) #s(literal 1/2 binary32) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (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 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 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 u1)) (+ 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))) (fma.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (fma.f32 (PI.f32) #s(literal 1/2 binary32) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (neg.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) #s(literal 1/2 binary32) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (sin.f32 (fma.f32 (PI.f32) #s(literal 1/2 binary32) (*.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)) (sin.f32 (fma.f32 (PI.f32) #s(literal 1/2 binary32) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (neg.f32 (/.f32 (fma.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) #s(literal 1/2 binary32) (*.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 (sin.f32 (fma.f32 (PI.f32) #s(literal 1/2 binary32) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (/.f32 #s(literal 3/4 binary32) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (sin.f32 (fma.f32 (PI.f32) #s(literal 1/2 binary32) (*.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))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))) (*.f32 u2 u2) (sqrt.f32 (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 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 (*.f32 (+.f32 #s(literal 1 binary32) u1) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (*.f32 (sqrt.f32 (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (*.f32 u2 u2) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))) (*.f32 u2 u2) (sqrt.f32 (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 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 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 (* 314159265359/50000000000 u2) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
#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 (fma.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.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 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.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)) 98696044010906577398881/5000000000000000000000) #s(literal -98696044010906577398881/5000000000000000000000 binary32))
#s(approx (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) 98696044010906577398881/5000000000000000000000) (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)))
#s(approx (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))
#s(approx (* u2 u2) (*.f32 u2 u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sin.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (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 (PI.f32) #s(literal 1/2 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (*.f32 (cos.f32 (*.f32 (PI.f32) #s(literal 1/2 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 (*.f32 (cos.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2) (*.f32 (sin.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))) u2 (*.f32 (sin.f32 (*.f32 (PI.f32) #s(literal 1/2 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 (sin.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) (*.f32 (cos.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))) u2 (*.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) u2 (*.f32 (sin.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
#s(approx (cos (* 314159265359/50000000000 u2)) (sin.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))))
#s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (cos.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (sin.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))))
#s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (fma.f32 (cos.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2) (sin.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))))) u2 (sin.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))))
#s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (fma.f32 (fma.f32 (sin.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) (cos.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))))) u2 (*.f32 (cos.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) #s(literal 314159265359/50000000000 binary32))) u2 (sin.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))))
#s(approx (+ (* u2 314159265359/50000000000) (/ (PI) 2)) (*.f32 (PI.f32) #s(literal 1/2 binary32)))
#s(approx (+ (* u2 314159265359/50000000000) (/ (PI) 2)) (fma.f32 (PI.f32) #s(literal 1/2 binary32) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
#s(approx (cos (* 314159265359/50000000000 u2)) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#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 (+ (* (- (* 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 (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sin.f32 (fma.f32 (PI.f32) #s(literal 1/2 binary32) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (cos (* 314159265359/50000000000 u2)) (sin.f32 (fma.f32 (PI.f32) #s(literal 1/2 binary32) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
#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 (sin.f32 (fma.f32 (PI.f32) #s(literal 1/2 binary32) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (cos (* 314159265359/50000000000 u2)) (sin.f32 (fma.f32 (PI.f32) #s(literal 1/2 binary32) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
#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)))

eval16.0ms (0.5%)

Memory
-2.6MiB live, 43.7MiB allocated; 2ms collecting garbage
Compiler

Compiled 2 178 to 827 computations (62% saved)

prune24.0ms (0.8%)

Memory
12.4MiB live, 58.9MiB allocated; 2ms collecting garbage
Pruning

36 alts after pruning (32 fresh and 4 done)

PrunedKeptTotal
New13726163
Fresh268
Picked235
Done011
Total14136177
Accuracy
99.7%
Counts
177 → 36
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.6%
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
▶98.8%
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 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)))
98.7%
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 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))))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
93.6%
(*.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 (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))))
98.7%
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 #s(approx (- 1 (* u1 u1)) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal 1 binary32)) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓98.8%
(*.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))) (sin.f32 #s(approx (+ (* u2 314159265359/50000000000) (/ (PI) 2)) (fma.f32 (PI.f32) #s(literal 1/2 binary32) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
✓99.0%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
93.7%
(*.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))))
91.8%
(*.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))))
91.8%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) 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))))
88.9%
(*.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))))
91.8%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) 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))))
91.8%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (/.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)))))
▶91.8%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (*.f32 u2 u2)) (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 98696044010906577398881/5000000000000000000000 binary32))))))
91.8%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (+.f32 (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) 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)) #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))))))
5.2%
(*.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))))))
10.6%
(*.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 (*.f32 u2 u2) (*.f32 u2 u2)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))
▶98.7%
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (/ (- 1 (* u1 u1)) (+ 1 u1)) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.7%
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
85.6%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 #s(literal 1 binary32) (*.f32 u1 u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
90.4%
(*.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)))
85.4%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1))) (sin.f32 (fma.f32 u2 #s(literal 314159265359/50000000000 binary32) (/.f32 (PI.f32) #s(literal 2 binary32)))))
✓85.5%
(*.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)))
81.7%
(*.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))))
77.5%
(*.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))))
85.4%
(*.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)))
72.2%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
92.0%
(*.f32 #s(approx (sqrt (/ u1 (/ (- 1 (* u1 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))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
85.8%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (/.f32 (*.f32 (sin.f32 (fma.f32 (PI.f32) #s(literal 1/2 binary32) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (*.f32 u1 u1)) (sqrt.f32 u1)) #s(literal 1/2 binary32) (*.f32 (sin.f32 (fma.f32 (PI.f32) #s(literal 1/2 binary32) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 u1))))
88.8%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))
89.0%
#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)))))
▶72.2%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sin.f32 (fma.f32 (PI.f32) #s(literal 1/2 binary32) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 u1)))
▶80.7%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
✓80.7%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
Compiler

Compiled 1 390 to 1 348 computations (3% saved)

series29.0ms (1%)

Memory
-29.6MiB live, 67.3MiB allocated; 5ms collecting garbage
Counts
46 → 93
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 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)))
(sqrt.f32 (/.f32 u1 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (-.f32 #s(literal 1 binary32) u1)))))
(/.f32 u1 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (-.f32 #s(literal 1 binary32) u1))))
u1
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (-.f32 #s(literal 1 binary32) u1)))
(-.f32 #s(literal 1 binary32) (*.f32 u1 u1))
#s(literal 1 binary32)
(*.f32 u1 u1)
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (-.f32 #s(literal 1 binary32) u1))
(-.f32 #s(literal 1 binary32) u1)
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
#s(literal 314159265359/50000000000 binary32)
u2
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
(sqrt.f32 (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))
(/.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))
(*.f32 (+.f32 #s(literal 1 binary32) u1) u1)
(+.f32 #s(literal 1 binary32) u1)
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (*.f32 u2 u2)) (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 98696044010906577398881/5000000000000000000000 binary32))))))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.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 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)))))
(-.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 (neg.f32 (*.f32 u2 u2)) (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)))
(neg.f32 (*.f32 u2 u2))
(*.f32 u2 u2)
(-.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 98696044010906577398881/5000000000000000000000 binary32))
(*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))
#s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)
#s(literal 98696044010906577398881/5000000000000000000000 binary32)
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sin.f32 (fma.f32 (PI.f32) #s(literal 1/2 binary32) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 u1)))
(*.f32 (sin.f32 (fma.f32 (PI.f32) #s(literal 1/2 binary32) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 u1))
(sin.f32 (fma.f32 (PI.f32) #s(literal 1/2 binary32) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(fma.f32 (PI.f32) #s(literal 1/2 binary32) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(PI.f32)
#s(literal 1/2 binary32)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(sqrt.f32 u1)
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (/ (- 1 (* u1 u1)) (+ 1 u1)) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 (/.f32 u1 #s(approx (/ (- 1 (* u1 u1)) (+ 1 u1)) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1))))
(/.f32 u1 #s(approx (/ (- 1 (* u1 u1)) (+ 1 u1)) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))
#s(approx (/ (- 1 (* u1 u1)) (+ 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)
Outputs
#s(approx (* (sqrt (/ u1 (/ (- 1 (* u1 u1)) (/ (- 1 (* u1 u1)) (- 1 u1))))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (* (cos (* 314159265359/50000000000 u2)) (sqrt u1))))
#s(approx (* (sqrt (/ u1 (/ (- 1 (* u1 u1)) (/ (- 1 (* u1 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 u1)) (/ (- 1 (* u1 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 u1)) (/ (- 1 (* u1 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 u1)) (/ (- 1 (* u1 u1)) (- 1 u1))))) #s(hole binary32 (sqrt u1)))
#s(approx (sqrt (/ u1 (/ (- 1 (* u1 u1)) (/ (- 1 (* u1 u1)) (- 1 u1))))) #s(hole binary32 (+ (sqrt u1) (* 1/2 (/ (pow u1 2) (sqrt u1))))))
#s(approx (sqrt (/ u1 (/ (- 1 (* u1 u1)) (/ (- 1 (* u1 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 u1)) (/ (- 1 (* u1 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 u1)) (/ (- 1 (* u1 u1)) (- 1 u1)))) #s(hole binary32 u1))
#s(approx (/ u1 (/ (- 1 (* u1 u1)) (/ (- 1 (* u1 u1)) (- 1 u1)))) #s(hole binary32 (* u1 (+ 1 u1))))
#s(approx (/ u1 (/ (- 1 (* u1 u1)) (/ (- 1 (* u1 u1)) (- 1 u1)))) #s(hole binary32 (* u1 (+ 1 (* u1 (+ 1 u1))))))
#s(approx (/ u1 (/ (- 1 (* u1 u1)) (/ (- 1 (* u1 u1)) (- 1 u1)))) #s(hole binary32 (* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))))
#s(approx (/ (- 1 (* u1 u1)) (/ (- 1 (* u1 u1)) (- 1 u1))) #s(hole binary32 1))
#s(approx (/ (- 1 (* u1 u1)) (/ (- 1 (* u1 u1)) (- 1 u1))) #s(hole binary32 (+ 1 (* -1 u1))))
#s(approx (- 1 (* u1 u1)) #s(hole binary32 (+ 1 (* -1 (pow u1 2)))))
#s(approx (* u1 u1) #s(hole binary32 (pow u1 2)))
#s(approx (/ (- 1 (* u1 u1)) (- 1 u1)) #s(hole binary32 (+ 1 u1)))
#s(approx (* (sin (+ (* (PI) 1/2) (* u2 314159265359/50000000000))) (sqrt u1)) #s(hole binary32 (* (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt 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 u1)) (/ (- 1 (* u1 u1)) (- 1 u1))))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))
#s(approx (* (sqrt (/ u1 (/ (- 1 (* u1 u1)) (/ (- 1 (* u1 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 u1)) (/ (- 1 (* u1 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 u1)) (/ (- 1 (* u1 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 u1)) (/ (- 1 (* u1 u1)) (- 1 u1))))) #s(hole binary32 (sqrt -1)))
#s(approx (sqrt (/ u1 (/ (- 1 (* u1 u1)) (/ (- 1 (* u1 u1)) (- 1 u1))))) #s(hole binary32 (- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))))
#s(approx (sqrt (/ u1 (/ (- 1 (* u1 u1)) (/ (- 1 (* u1 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 u1)) (/ (- 1 (* u1 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 u1)) (/ (- 1 (* u1 u1)) (- 1 u1)))) #s(hole binary32 -1))
#s(approx (/ u1 (/ (- 1 (* u1 u1)) (/ (- 1 (* u1 u1)) (- 1 u1)))) #s(hole binary32 (* -1 (+ 1 (/ 1 u1)))))
#s(approx (/ u1 (/ (- 1 (* u1 u1)) (/ (- 1 (* u1 u1)) (- 1 u1)))) #s(hole binary32 (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)))
#s(approx (/ u1 (/ (- 1 (* u1 u1)) (/ (- 1 (* u1 u1)) (- 1 u1)))) #s(hole binary32 (- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))))
#s(approx (/ (- 1 (* u1 u1)) (/ (- 1 (* u1 u1)) (- 1 u1))) #s(hole binary32 (* -1 u1)))
#s(approx (/ (- 1 (* u1 u1)) (/ (- 1 (* u1 u1)) (- 1 u1))) #s(hole binary32 (* u1 (- (/ 1 u1) 1))))
#s(approx (- 1 (* u1 u1)) #s(hole binary32 (* -1 (pow u1 2))))
#s(approx (- 1 (* u1 u1)) #s(hole binary32 (* (pow u1 2) (- (/ 1 (pow u1 2)) 1))))
#s(approx (/ (- 1 (* u1 u1)) (- 1 u1)) #s(hole binary32 (* u1 (+ 1 (/ 1 u1)))))
#s(approx (* (+ 1 u1) u1) #s(hole binary32 (* (pow u1 2) (+ 1 (/ 1 u1)))))
#s(approx (* (sin (+ (* (PI) 1/2) (* u2 314159265359/50000000000))) (sqrt u1)) #s(hole binary32 (* u1 (* (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt (/ 1 u1))))))
#s(approx (sqrt u1) #s(hole binary32 (* u1 (sqrt (/ 1 u1)))))
#s(approx (- (/ 1 u1) 1) #s(hole binary32 (- (/ 1 u1) 1)))
#s(approx (* (sqrt (/ u1 (/ (- 1 (* u1 u1)) (/ (- 1 (* u1 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 u1)) (/ (- 1 (* u1 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 u1)) (/ (- 1 (* u1 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 u1)) (/ (- 1 (* u1 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 u1)) (/ (- 1 (* u1 u1)) (- 1 u1)))) #s(hole binary32 (- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)))
#s(approx (/ (- 1 (* u1 u1)) (/ (- 1 (* u1 u1)) (- 1 u1))) #s(hole binary32 (* -1 (* u1 (- 1 (/ 1 u1))))))
#s(approx (* (sin (+ (* (PI) 1/2) (* u2 314159265359/50000000000))) (sqrt u1)) #s(hole binary32 (* -1 (* u1 (* (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt (/ 1 u1)))))))
#s(approx (sqrt u1) #s(hole binary32 (* -1 (* u1 (sqrt (/ 1 u1))))))
#s(approx (* (sqrt (/ u1 (/ (- 1 (* u1 u1)) (/ (- 1 (* u1 u1)) (- 1 u1))))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (sqrt (/ u1 (- 1 u1)))))
#s(approx (* (sqrt (/ u1 (/ (- 1 (* u1 u1)) (/ (- 1 (* u1 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 u1)) (/ (- 1 (* u1 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 u1)) (/ (- 1 (* u1 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 (* (neg (* u2 u2)) (- (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) 98696044010906577398881/5000000000000000000000)) #s(hole binary32 (* 98696044010906577398881/5000000000000000000000 (pow u2 2))))
#s(approx (* (neg (* u2 u2)) (- (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) 98696044010906577398881/5000000000000000000000)) #s(hole binary32 (* (pow u2 2) (+ 98696044010906577398881/5000000000000000000000 (* -9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2))))))
#s(approx (neg (* u2 u2)) #s(hole binary32 (* -1 (pow u2 2))))
#s(approx (* u2 u2) #s(hole binary32 (pow u2 2)))
#s(approx (- (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) 98696044010906577398881/5000000000000000000000) #s(hole binary32 -98696044010906577398881/5000000000000000000000))
#s(approx (- (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) 98696044010906577398881/5000000000000000000000) #s(hole binary32 (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))
#s(approx (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) #s(hole binary32 (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2))))
#s(approx (* (sin (+ (* (PI) 1/2) (* u2 314159265359/50000000000))) (sqrt u1)) #s(hole binary32 (* (sin (* 1/2 (PI))) (sqrt u1))))
#s(approx (* (sin (+ (* (PI) 1/2) (* u2 314159265359/50000000000))) (sqrt u1)) #s(hole binary32 (+ (* 314159265359/50000000000 (* u2 (* (cos (* 1/2 (PI))) (sqrt u1)))) (* (sin (* 1/2 (PI))) (sqrt u1)))))
#s(approx (* (sin (+ (* (PI) 1/2) (* u2 314159265359/50000000000))) (sqrt u1)) #s(hole binary32 (+ (* u2 (+ (* -98696044010906577398881/5000000000000000000000 (* u2 (* (sin (* 1/2 (PI))) (sqrt u1)))) (* 314159265359/50000000000 (* (cos (* 1/2 (PI))) (sqrt u1))))) (* (sin (* 1/2 (PI))) (sqrt u1)))))
#s(approx (* (sin (+ (* (PI) 1/2) (* u2 314159265359/50000000000))) (sqrt u1)) #s(hole binary32 (+ (* u2 (+ (* 314159265359/50000000000 (* (cos (* 1/2 (PI))) (sqrt u1))) (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* u2 (* (cos (* 1/2 (PI))) (sqrt u1)))) (* -98696044010906577398881/5000000000000000000000 (* (sin (* 1/2 (PI))) (sqrt u1))))))) (* (sin (* 1/2 (PI))) (sqrt u1)))))
#s(approx (sin (+ (* (PI) 1/2) (* u2 314159265359/50000000000))) #s(hole binary32 (sin (* 1/2 (PI)))))
#s(approx (sin (+ (* (PI) 1/2) (* u2 314159265359/50000000000))) #s(hole binary32 (+ (sin (* 1/2 (PI))) (* 314159265359/50000000000 (* u2 (cos (* 1/2 (PI))))))))
#s(approx (sin (+ (* (PI) 1/2) (* u2 314159265359/50000000000))) #s(hole binary32 (+ (sin (* 1/2 (PI))) (* u2 (+ (* -98696044010906577398881/5000000000000000000000 (* u2 (sin (* 1/2 (PI))))) (* 314159265359/50000000000 (cos (* 1/2 (PI)))))))))
#s(approx (sin (+ (* (PI) 1/2) (* u2 314159265359/50000000000))) #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 (+ (* (PI) 1/2) (* u2 314159265359/50000000000)) #s(hole binary32 (* 1/2 (PI))))
#s(approx (+ (* (PI) 1/2) (* u2 314159265359/50000000000)) #s(hole binary32 (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))))
#s(approx (* (sqrt (/ u1 (/ (- 1 (* u1 u1)) (+ 1 u1)))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2))))))
#s(approx (* (sqrt (/ u1 (/ (- 1 (* u1 u1)) (+ 1 u1)))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))))))))
#s(approx (* (sqrt (/ u1 (/ (- 1 (* u1 u1)) (+ 1 u1)))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))))))))))
#s(approx (* (sqrt (/ u1 (/ (- 1 (* u1 u1)) (+ 1 u1)))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2))))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2))))))))))))
#s(approx (* (sqrt (/ u1 (/ (- 1 (* u1 u1)) (/ (- 1 (* u1 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 (- 1 (* (neg (* u2 u2)) (- (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) 98696044010906577398881/5000000000000000000000))) #s(hole binary32 (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 4))))
#s(approx (- 1 (* (neg (* u2 u2)) (- (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) 98696044010906577398881/5000000000000000000000))) #s(hole binary32 (* (pow u2 4) (- 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* 98696044010906577398881/5000000000000000000000 (/ 1 (pow u2 2)))))))
#s(approx (- 1 (* (neg (* u2 u2)) (- (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) 98696044010906577398881/5000000000000000000000))) #s(hole binary32 (* (pow u2 4) (- (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 4))) (* 98696044010906577398881/5000000000000000000000 (/ 1 (pow u2 2)))))))
#s(approx (* (neg (* u2 u2)) (- (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) 98696044010906577398881/5000000000000000000000)) #s(hole binary32 (* -9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 4))))
#s(approx (* (neg (* u2 u2)) (- (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) 98696044010906577398881/5000000000000000000000)) #s(hole binary32 (* (pow u2 4) (- (* 98696044010906577398881/5000000000000000000000 (/ 1 (pow u2 2))) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000))))
#s(approx (- (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) 98696044010906577398881/5000000000000000000000) #s(hole binary32 (* (pow u2 2) (- 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* 98696044010906577398881/5000000000000000000000 (/ 1 (pow u2 2)))))))
#s(approx (sin (+ (* (PI) 1/2) (* u2 314159265359/50000000000))) #s(hole binary32 (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2)))))
#s(approx (+ (* (PI) 1/2) (* u2 314159265359/50000000000)) #s(hole binary32 (* u2 (+ 314159265359/50000000000 (* 1/2 (/ (PI) u2))))))
#s(approx (* (sqrt (/ u1 (/ (- 1 (* u1 u1)) (+ 1 u1)))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (* (cos (* 314159265359/50000000000 u2)) (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))))))
#s(approx (* (sin (+ (* (PI) 1/2) (* u2 314159265359/50000000000))) (sqrt u1)) #s(hole binary32 (* (sin (- (* 1/2 (PI)) (* -314159265359/50000000000 u2))) (sqrt u1))))
#s(approx (sin (+ (* (PI) 1/2) (* u2 314159265359/50000000000))) #s(hole binary32 (sin (- (* 1/2 (PI)) (* -314159265359/50000000000 u2)))))
#s(approx (+ (* (PI) 1/2) (* u2 314159265359/50000000000)) #s(hole binary32 (* -1 (* u2 (- (* -1/2 (/ (PI) u2)) 314159265359/50000000000)))))
Calls

9 calls:

TimeVariablePointExpression
6.0ms
u1
@-inf
((* (sqrt (/ u1 (/ (- 1 (* u1 u1)) (/ (- 1 (* u1 u1)) (- 1 u1))))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (/ (- 1 (* u1 u1)) (/ (- 1 (* u1 u1)) (- 1 u1))))) (/ u1 (/ (- 1 (* u1 u1)) (/ (- 1 (* u1 u1)) (- 1 u1)))) u1 (/ (- 1 (* u1 u1)) (/ (- 1 (* u1 u1)) (- 1 u1))) (- 1 (* u1 u1)) 1 (* u1 u1) (/ (- 1 (* u1 u1)) (- 1 u1)) (- 1 u1) (cos (* 314159265359/50000000000 u2)) (* 314159265359/50000000000 u2) 314159265359/50000000000 u2 (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ (* (+ 1 u1) u1) (- 1 (* u1 u1)))) (/ (* (+ 1 u1) u1) (- 1 (* u1 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)) (- 1 (* (neg (* u2 u2)) (- (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) 98696044010906577398881/5000000000000000000000))) (* (neg (* u2 u2)) (- (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) 98696044010906577398881/5000000000000000000000)) (neg (* u2 u2)) (* u2 u2) (- (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) 98696044010906577398881/5000000000000000000000) (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (* (sin (+ (* (PI) 1/2) (* u2 314159265359/50000000000))) (sqrt u1)) (sin (+ (* (PI) 1/2) (* u2 314159265359/50000000000))) (+ (* (PI) 1/2) (* u2 314159265359/50000000000)) (PI) 1/2 (* u2 314159265359/50000000000) (sqrt u1) (* (sqrt (/ u1 (/ (- 1 (* u1 u1)) (+ 1 u1)))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (/ (- 1 (* u1 u1)) (+ 1 u1)))) (/ u1 (/ (- 1 (* u1 u1)) (+ 1 u1))) (/ (- 1 (* u1 u1)) (+ 1 u1)) (* (- (/ 1 u1) 1) u1) (- (/ 1 u1) 1) (/ 1 u1))
5.0ms
u1
@inf
((* (sqrt (/ u1 (/ (- 1 (* u1 u1)) (/ (- 1 (* u1 u1)) (- 1 u1))))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (/ (- 1 (* u1 u1)) (/ (- 1 (* u1 u1)) (- 1 u1))))) (/ u1 (/ (- 1 (* u1 u1)) (/ (- 1 (* u1 u1)) (- 1 u1)))) u1 (/ (- 1 (* u1 u1)) (/ (- 1 (* u1 u1)) (- 1 u1))) (- 1 (* u1 u1)) 1 (* u1 u1) (/ (- 1 (* u1 u1)) (- 1 u1)) (- 1 u1) (cos (* 314159265359/50000000000 u2)) (* 314159265359/50000000000 u2) 314159265359/50000000000 u2 (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ (* (+ 1 u1) u1) (- 1 (* u1 u1)))) (/ (* (+ 1 u1) u1) (- 1 (* u1 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)) (- 1 (* (neg (* u2 u2)) (- (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) 98696044010906577398881/5000000000000000000000))) (* (neg (* u2 u2)) (- (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) 98696044010906577398881/5000000000000000000000)) (neg (* u2 u2)) (* u2 u2) (- (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) 98696044010906577398881/5000000000000000000000) (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (* (sin (+ (* (PI) 1/2) (* u2 314159265359/50000000000))) (sqrt u1)) (sin (+ (* (PI) 1/2) (* u2 314159265359/50000000000))) (+ (* (PI) 1/2) (* u2 314159265359/50000000000)) (PI) 1/2 (* u2 314159265359/50000000000) (sqrt u1) (* (sqrt (/ u1 (/ (- 1 (* u1 u1)) (+ 1 u1)))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (/ (- 1 (* u1 u1)) (+ 1 u1)))) (/ u1 (/ (- 1 (* u1 u1)) (+ 1 u1))) (/ (- 1 (* u1 u1)) (+ 1 u1)) (* (- (/ 1 u1) 1) u1) (- (/ 1 u1) 1) (/ 1 u1))
4.0ms
u2
@inf
((* (sqrt (/ u1 (/ (- 1 (* u1 u1)) (/ (- 1 (* u1 u1)) (- 1 u1))))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (/ (- 1 (* u1 u1)) (/ (- 1 (* u1 u1)) (- 1 u1))))) (/ u1 (/ (- 1 (* u1 u1)) (/ (- 1 (* u1 u1)) (- 1 u1)))) u1 (/ (- 1 (* u1 u1)) (/ (- 1 (* u1 u1)) (- 1 u1))) (- 1 (* u1 u1)) 1 (* u1 u1) (/ (- 1 (* u1 u1)) (- 1 u1)) (- 1 u1) (cos (* 314159265359/50000000000 u2)) (* 314159265359/50000000000 u2) 314159265359/50000000000 u2 (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ (* (+ 1 u1) u1) (- 1 (* u1 u1)))) (/ (* (+ 1 u1) u1) (- 1 (* u1 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)) (- 1 (* (neg (* u2 u2)) (- (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) 98696044010906577398881/5000000000000000000000))) (* (neg (* u2 u2)) (- (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) 98696044010906577398881/5000000000000000000000)) (neg (* u2 u2)) (* u2 u2) (- (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) 98696044010906577398881/5000000000000000000000) (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (* (sin (+ (* (PI) 1/2) (* u2 314159265359/50000000000))) (sqrt u1)) (sin (+ (* (PI) 1/2) (* u2 314159265359/50000000000))) (+ (* (PI) 1/2) (* u2 314159265359/50000000000)) (PI) 1/2 (* u2 314159265359/50000000000) (sqrt u1) (* (sqrt (/ u1 (/ (- 1 (* u1 u1)) (+ 1 u1)))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (/ (- 1 (* u1 u1)) (+ 1 u1)))) (/ u1 (/ (- 1 (* u1 u1)) (+ 1 u1))) (/ (- 1 (* u1 u1)) (+ 1 u1)) (* (- (/ 1 u1) 1) u1) (- (/ 1 u1) 1) (/ 1 u1))
3.0ms
u2
@-inf
((* (sqrt (/ u1 (/ (- 1 (* u1 u1)) (/ (- 1 (* u1 u1)) (- 1 u1))))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (/ (- 1 (* u1 u1)) (/ (- 1 (* u1 u1)) (- 1 u1))))) (/ u1 (/ (- 1 (* u1 u1)) (/ (- 1 (* u1 u1)) (- 1 u1)))) u1 (/ (- 1 (* u1 u1)) (/ (- 1 (* u1 u1)) (- 1 u1))) (- 1 (* u1 u1)) 1 (* u1 u1) (/ (- 1 (* u1 u1)) (- 1 u1)) (- 1 u1) (cos (* 314159265359/50000000000 u2)) (* 314159265359/50000000000 u2) 314159265359/50000000000 u2 (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ (* (+ 1 u1) u1) (- 1 (* u1 u1)))) (/ (* (+ 1 u1) u1) (- 1 (* u1 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)) (- 1 (* (neg (* u2 u2)) (- (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) 98696044010906577398881/5000000000000000000000))) (* (neg (* u2 u2)) (- (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) 98696044010906577398881/5000000000000000000000)) (neg (* u2 u2)) (* u2 u2) (- (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) 98696044010906577398881/5000000000000000000000) (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (* (sin (+ (* (PI) 1/2) (* u2 314159265359/50000000000))) (sqrt u1)) (sin (+ (* (PI) 1/2) (* u2 314159265359/50000000000))) (+ (* (PI) 1/2) (* u2 314159265359/50000000000)) (PI) 1/2 (* u2 314159265359/50000000000) (sqrt u1) (* (sqrt (/ u1 (/ (- 1 (* u1 u1)) (+ 1 u1)))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (/ (- 1 (* u1 u1)) (+ 1 u1)))) (/ u1 (/ (- 1 (* u1 u1)) (+ 1 u1))) (/ (- 1 (* u1 u1)) (+ 1 u1)) (* (- (/ 1 u1) 1) u1) (- (/ 1 u1) 1) (/ 1 u1))
3.0ms
u1
@0
((* (sqrt (/ u1 (/ (- 1 (* u1 u1)) (/ (- 1 (* u1 u1)) (- 1 u1))))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (/ (- 1 (* u1 u1)) (/ (- 1 (* u1 u1)) (- 1 u1))))) (/ u1 (/ (- 1 (* u1 u1)) (/ (- 1 (* u1 u1)) (- 1 u1)))) u1 (/ (- 1 (* u1 u1)) (/ (- 1 (* u1 u1)) (- 1 u1))) (- 1 (* u1 u1)) 1 (* u1 u1) (/ (- 1 (* u1 u1)) (- 1 u1)) (- 1 u1) (cos (* 314159265359/50000000000 u2)) (* 314159265359/50000000000 u2) 314159265359/50000000000 u2 (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ (* (+ 1 u1) u1) (- 1 (* u1 u1)))) (/ (* (+ 1 u1) u1) (- 1 (* u1 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)) (- 1 (* (neg (* u2 u2)) (- (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) 98696044010906577398881/5000000000000000000000))) (* (neg (* u2 u2)) (- (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) 98696044010906577398881/5000000000000000000000)) (neg (* u2 u2)) (* u2 u2) (- (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) 98696044010906577398881/5000000000000000000000) (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (* (sin (+ (* (PI) 1/2) (* u2 314159265359/50000000000))) (sqrt u1)) (sin (+ (* (PI) 1/2) (* u2 314159265359/50000000000))) (+ (* (PI) 1/2) (* u2 314159265359/50000000000)) (PI) 1/2 (* u2 314159265359/50000000000) (sqrt u1) (* (sqrt (/ u1 (/ (- 1 (* u1 u1)) (+ 1 u1)))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (/ (- 1 (* u1 u1)) (+ 1 u1)))) (/ u1 (/ (- 1 (* u1 u1)) (+ 1 u1))) (/ (- 1 (* u1 u1)) (+ 1 u1)) (* (- (/ 1 u1) 1) u1) (- (/ 1 u1) 1) (/ 1 u1))

rewrite119.0ms (4.2%)

Memory
11.7MiB live, 153.9MiB allocated; 7ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04673235
05252418
026472359
Stop Event
1×iter-limit
1×iter-limit
1×node-limit
1×iter-limit
Counts
139 → 240
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 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)))
(sqrt.f32 (/.f32 u1 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (-.f32 #s(literal 1 binary32) u1)))))
(/.f32 u1 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (-.f32 #s(literal 1 binary32) u1))))
u1
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (-.f32 #s(literal 1 binary32) u1)))
(-.f32 #s(literal 1 binary32) (*.f32 u1 u1))
#s(literal 1 binary32)
(*.f32 u1 u1)
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (-.f32 #s(literal 1 binary32) u1))
(-.f32 #s(literal 1 binary32) u1)
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
#s(literal 314159265359/50000000000 binary32)
u2
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
(sqrt.f32 (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))
(/.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))
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(+.f32 #s(literal 1 binary32) u1)
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (*.f32 u2 u2)) (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 98696044010906577398881/5000000000000000000000 binary32))))))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
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(-.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 (neg.f32 (*.f32 u2 u2)) (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)))
(neg.f32 (*.f32 u2 u2))
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(*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))
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#s(literal 98696044010906577398881/5000000000000000000000 binary32)
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sin.f32 (fma.f32 (PI.f32) #s(literal 1/2 binary32) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 u1)))
(*.f32 (sin.f32 (fma.f32 (PI.f32) #s(literal 1/2 binary32) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 u1))
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(fma.f32 (PI.f32) #s(literal 1/2 binary32) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(PI.f32)
#s(literal 1/2 binary32)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(sqrt.f32 u1)
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (/ (- 1 (* u1 u1)) (+ 1 u1)) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 (/.f32 u1 #s(approx (/ (- 1 (* u1 u1)) (+ 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 u1)) (/ (- 1 (* u1 u1)) (- 1 u1))))) #s(hole binary32 (+ (sqrt u1) (* 1/2 (/ (pow u1 2) (sqrt u1))))))
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#s(approx (* (sqrt (/ u1 (/ (- 1 (* u1 u1)) (/ (- 1 (* u1 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 u1)) (/ (- 1 (* u1 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 u1)) (/ (- 1 (* u1 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 u1)) (/ (- 1 (* u1 u1)) (- 1 u1))))) #s(hole binary32 (sqrt -1)))
#s(approx (sqrt (/ u1 (/ (- 1 (* u1 u1)) (/ (- 1 (* u1 u1)) (- 1 u1))))) #s(hole binary32 (- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))))
#s(approx (sqrt (/ u1 (/ (- 1 (* u1 u1)) (/ (- 1 (* u1 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 u1)) (/ (- 1 (* u1 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 u1)) (/ (- 1 (* u1 u1)) (- 1 u1)))) #s(hole binary32 -1))
#s(approx (/ u1 (/ (- 1 (* u1 u1)) (/ (- 1 (* u1 u1)) (- 1 u1)))) #s(hole binary32 (* -1 (+ 1 (/ 1 u1)))))
#s(approx (/ u1 (/ (- 1 (* u1 u1)) (/ (- 1 (* u1 u1)) (- 1 u1)))) #s(hole binary32 (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)))
#s(approx (/ u1 (/ (- 1 (* u1 u1)) (/ (- 1 (* u1 u1)) (- 1 u1)))) #s(hole binary32 (- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))))
#s(approx (/ (- 1 (* u1 u1)) (/ (- 1 (* u1 u1)) (- 1 u1))) #s(hole binary32 (* -1 u1)))
#s(approx (/ (- 1 (* u1 u1)) (/ (- 1 (* u1 u1)) (- 1 u1))) #s(hole binary32 (* u1 (- (/ 1 u1) 1))))
#s(approx (- 1 (* u1 u1)) #s(hole binary32 (* -1 (pow u1 2))))
#s(approx (- 1 (* u1 u1)) #s(hole binary32 (* (pow u1 2) (- (/ 1 (pow u1 2)) 1))))
#s(approx (/ (- 1 (* u1 u1)) (- 1 u1)) #s(hole binary32 (* u1 (+ 1 (/ 1 u1)))))
#s(approx (* (+ 1 u1) u1) #s(hole binary32 (* (pow u1 2) (+ 1 (/ 1 u1)))))
#s(approx (* (sin (+ (* (PI) 1/2) (* u2 314159265359/50000000000))) (sqrt u1)) #s(hole binary32 (* u1 (* (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt (/ 1 u1))))))
#s(approx (sqrt u1) #s(hole binary32 (* u1 (sqrt (/ 1 u1)))))
#s(approx (- (/ 1 u1) 1) #s(hole binary32 (- (/ 1 u1) 1)))
#s(approx (* (sqrt (/ u1 (/ (- 1 (* u1 u1)) (/ (- 1 (* u1 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 u1)) (/ (- 1 (* u1 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 u1)) (/ (- 1 (* u1 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 u1)) (/ (- 1 (* u1 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 u1)) (/ (- 1 (* u1 u1)) (- 1 u1)))) #s(hole binary32 (- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)))
#s(approx (/ (- 1 (* u1 u1)) (/ (- 1 (* u1 u1)) (- 1 u1))) #s(hole binary32 (* -1 (* u1 (- 1 (/ 1 u1))))))
#s(approx (* (sin (+ (* (PI) 1/2) (* u2 314159265359/50000000000))) (sqrt u1)) #s(hole binary32 (* -1 (* u1 (* (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt (/ 1 u1)))))))
#s(approx (sqrt u1) #s(hole binary32 (* -1 (* u1 (sqrt (/ 1 u1))))))
#s(approx (* (sqrt (/ u1 (/ (- 1 (* u1 u1)) (/ (- 1 (* u1 u1)) (- 1 u1))))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (sqrt (/ u1 (- 1 u1)))))
#s(approx (* (sqrt (/ u1 (/ (- 1 (* u1 u1)) (/ (- 1 (* u1 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 u1)) (/ (- 1 (* u1 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 u1)) (/ (- 1 (* u1 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 (* (neg (* u2 u2)) (- (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) 98696044010906577398881/5000000000000000000000)) #s(hole binary32 (* 98696044010906577398881/5000000000000000000000 (pow u2 2))))
#s(approx (* (neg (* u2 u2)) (- (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) 98696044010906577398881/5000000000000000000000)) #s(hole binary32 (* (pow u2 2) (+ 98696044010906577398881/5000000000000000000000 (* -9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2))))))
#s(approx (neg (* u2 u2)) #s(hole binary32 (* -1 (pow u2 2))))
#s(approx (* u2 u2) #s(hole binary32 (pow u2 2)))
#s(approx (- (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) 98696044010906577398881/5000000000000000000000) #s(hole binary32 -98696044010906577398881/5000000000000000000000))
#s(approx (- (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) 98696044010906577398881/5000000000000000000000) #s(hole binary32 (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))
#s(approx (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) #s(hole binary32 (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2))))
#s(approx (* (sin (+ (* (PI) 1/2) (* u2 314159265359/50000000000))) (sqrt u1)) #s(hole binary32 (* (sin (* 1/2 (PI))) (sqrt u1))))
#s(approx (* (sin (+ (* (PI) 1/2) (* u2 314159265359/50000000000))) (sqrt u1)) #s(hole binary32 (+ (* 314159265359/50000000000 (* u2 (* (cos (* 1/2 (PI))) (sqrt u1)))) (* (sin (* 1/2 (PI))) (sqrt u1)))))
#s(approx (* (sin (+ (* (PI) 1/2) (* u2 314159265359/50000000000))) (sqrt u1)) #s(hole binary32 (+ (* u2 (+ (* -98696044010906577398881/5000000000000000000000 (* u2 (* (sin (* 1/2 (PI))) (sqrt u1)))) (* 314159265359/50000000000 (* (cos (* 1/2 (PI))) (sqrt u1))))) (* (sin (* 1/2 (PI))) (sqrt u1)))))
#s(approx (* (sin (+ (* (PI) 1/2) (* u2 314159265359/50000000000))) (sqrt u1)) #s(hole binary32 (+ (* u2 (+ (* 314159265359/50000000000 (* (cos (* 1/2 (PI))) (sqrt u1))) (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* u2 (* (cos (* 1/2 (PI))) (sqrt u1)))) (* -98696044010906577398881/5000000000000000000000 (* (sin (* 1/2 (PI))) (sqrt u1))))))) (* (sin (* 1/2 (PI))) (sqrt u1)))))
#s(approx (sin (+ (* (PI) 1/2) (* u2 314159265359/50000000000))) #s(hole binary32 (sin (* 1/2 (PI)))))
#s(approx (sin (+ (* (PI) 1/2) (* u2 314159265359/50000000000))) #s(hole binary32 (+ (sin (* 1/2 (PI))) (* 314159265359/50000000000 (* u2 (cos (* 1/2 (PI))))))))
#s(approx (sin (+ (* (PI) 1/2) (* u2 314159265359/50000000000))) #s(hole binary32 (+ (sin (* 1/2 (PI))) (* u2 (+ (* -98696044010906577398881/5000000000000000000000 (* u2 (sin (* 1/2 (PI))))) (* 314159265359/50000000000 (cos (* 1/2 (PI)))))))))
#s(approx (sin (+ (* (PI) 1/2) (* u2 314159265359/50000000000))) #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 (+ (* (PI) 1/2) (* u2 314159265359/50000000000)) #s(hole binary32 (* 1/2 (PI))))
#s(approx (+ (* (PI) 1/2) (* u2 314159265359/50000000000)) #s(hole binary32 (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))))
#s(approx (* (sqrt (/ u1 (/ (- 1 (* u1 u1)) (+ 1 u1)))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2))))))
#s(approx (* (sqrt (/ u1 (/ (- 1 (* u1 u1)) (+ 1 u1)))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))))))))
#s(approx (* (sqrt (/ u1 (/ (- 1 (* u1 u1)) (+ 1 u1)))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))))))))))
#s(approx (* (sqrt (/ u1 (/ (- 1 (* u1 u1)) (+ 1 u1)))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2))))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2))))))))))))
#s(approx (* (sqrt (/ u1 (/ (- 1 (* u1 u1)) (/ (- 1 (* u1 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 (- 1 (* (neg (* u2 u2)) (- (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) 98696044010906577398881/5000000000000000000000))) #s(hole binary32 (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 4))))
#s(approx (- 1 (* (neg (* u2 u2)) (- (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) 98696044010906577398881/5000000000000000000000))) #s(hole binary32 (* (pow u2 4) (- 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* 98696044010906577398881/5000000000000000000000 (/ 1 (pow u2 2)))))))
#s(approx (- 1 (* (neg (* u2 u2)) (- (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) 98696044010906577398881/5000000000000000000000))) #s(hole binary32 (* (pow u2 4) (- (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 4))) (* 98696044010906577398881/5000000000000000000000 (/ 1 (pow u2 2)))))))
#s(approx (* (neg (* u2 u2)) (- (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) 98696044010906577398881/5000000000000000000000)) #s(hole binary32 (* -9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 4))))
#s(approx (* (neg (* u2 u2)) (- (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) 98696044010906577398881/5000000000000000000000)) #s(hole binary32 (* (pow u2 4) (- (* 98696044010906577398881/5000000000000000000000 (/ 1 (pow u2 2))) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000))))
#s(approx (- (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) 98696044010906577398881/5000000000000000000000) #s(hole binary32 (* (pow u2 2) (- 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* 98696044010906577398881/5000000000000000000000 (/ 1 (pow u2 2)))))))
#s(approx (sin (+ (* (PI) 1/2) (* u2 314159265359/50000000000))) #s(hole binary32 (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2)))))
#s(approx (+ (* (PI) 1/2) (* u2 314159265359/50000000000)) #s(hole binary32 (* u2 (+ 314159265359/50000000000 (* 1/2 (/ (PI) u2))))))
#s(approx (* (sqrt (/ u1 (/ (- 1 (* u1 u1)) (+ 1 u1)))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (* (cos (* 314159265359/50000000000 u2)) (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))))))
#s(approx (* (sin (+ (* (PI) 1/2) (* u2 314159265359/50000000000))) (sqrt u1)) #s(hole binary32 (* (sin (- (* 1/2 (PI)) (* -314159265359/50000000000 u2))) (sqrt u1))))
#s(approx (sin (+ (* (PI) 1/2) (* u2 314159265359/50000000000))) #s(hole binary32 (sin (- (* 1/2 (PI)) (* -314159265359/50000000000 u2)))))
#s(approx (+ (* (PI) 1/2) (* u2 314159265359/50000000000)) #s(hole binary32 (* -1 (* u2 (- (* -1/2 (/ (PI) u2)) 314159265359/50000000000)))))
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 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))
(/.f32 (neg.f32 u1) (neg.f32 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
u1
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (-.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 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (neg.f32 (+.f32 #s(literal 1 binary32) u1)))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) u1))
(-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1)))
(-.f32 #s(literal 1 binary32) u1)
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 u1) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) (*.f32 u1 u1)))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 u1 u1) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (fma.f32 (*.f32 u1 u1) (*.f32 u1 u1) (*.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
(-.f32 #s(literal 1 binary32) (*.f32 u1 u1))
(+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 u1) u1))
#s(literal 1 binary32)
(*.f32 (fabs.f32 u1) (fabs.f32 u1))
(*.f32 (neg.f32 u1) (neg.f32 u1))
(*.f32 (*.f32 (sqrt.f32 u1) (sqrt.f32 u1)) (*.f32 (sqrt.f32 u1) (sqrt.f32 u1)))
(*.f32 u1 u1)
(pow.f32 u1 #s(literal 2 binary32))
(exp.f32 (*.f32 (log.f32 u1) #s(literal 2 binary32)))
(/.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 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (neg.f32 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (-.f32 #s(literal 1 binary32) u1))
(-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) (/.f32 (*.f32 u1 u1) (-.f32 #s(literal 1 binary32) u1)))
(+.f32 #s(literal 1 binary32) u1)
(+.f32 u1 #s(literal 1 binary32))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (-.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 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (neg.f32 (+.f32 #s(literal 1 binary32) u1)))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) u1))
(-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1)))
(-.f32 #s(literal 1 binary32) u1)
(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)
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#s(approx (* 314159265359/50000000000 u2) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
#s(approx u2 u2)
#s(approx (* (neg (* u2 u2)) (- (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) 98696044010906577398881/5000000000000000000000)) (*.f32 (*.f32 u2 u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)))
#s(approx (* (neg (* u2 u2)) (- (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) 98696044010906577398881/5000000000000000000000)) (*.f32 (fma.f32 #s(literal -9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2)))
#s(approx (neg (* u2 u2)) (*.f32 (neg.f32 u2) u2))
#s(approx (* u2 u2) (*.f32 u2 u2))
#s(approx (- (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) 98696044010906577398881/5000000000000000000000) #s(literal -98696044010906577398881/5000000000000000000000 binary32))
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#s(approx (* (sin (+ (* (PI) 1/2) (* u2 314159265359/50000000000))) (sqrt u1)) (*.f32 (sin.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (sqrt.f32 u1)))
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#s(approx (sin (+ (* (PI) 1/2) (* u2 314159265359/50000000000))) (sin.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))))
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#s(approx (sin (+ (* (PI) 1/2) (* u2 314159265359/50000000000))) (fma.f32 (fma.f32 (fma.f32 (sin.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) (cos.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))))) u2 (*.f32 (cos.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) #s(literal 314159265359/50000000000 binary32))) u2 (sin.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))))
#s(approx (+ (* (PI) 1/2) (* u2 314159265359/50000000000)) (*.f32 (PI.f32) #s(literal 1/2 binary32)))
#s(approx (+ (* (PI) 1/2) (* u2 314159265359/50000000000)) (fma.f32 (PI.f32) #s(literal 1/2 binary32) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (/ (- 1 (* u1 u1)) (/ (- 1 (* u1 u1)) (- 1 u1))))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 u1 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))
#s(approx (* (sqrt (/ u1 (/ (- 1 (* u1 u1)) (/ (- 1 (* u1 u1)) (- 1 u1))))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (sqrt.f32 (*.f32 u1 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))) (*.f32 u2 u2)) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (*.f32 u1 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))))
#s(approx (* (sqrt (/ u1 (/ (- 1 (* u1 u1)) (/ (- 1 (* u1 u1)) (- 1 u1))))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 (sqrt.f32 (*.f32 u1 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 (sqrt.f32 (*.f32 u1 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))) (*.f32 u2 u2)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (*.f32 u2 u2) (sqrt.f32 (*.f32 u1 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))))
#s(approx (* (sqrt (/ u1 (/ (- 1 (* u1 u1)) (/ (- 1 (* u1 u1)) (- 1 u1))))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 (fma.f32 (sqrt.f32 (*.f32 u1 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 (sqrt.f32 (*.f32 u1 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))) (*.f32 u2 u2)) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))) (*.f32 u2 u2) (*.f32 (sqrt.f32 (*.f32 u1 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2) (sqrt.f32 (*.f32 u1 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))))
#s(approx (* (sqrt (/ u1 (/ (- 1 (* u1 u1)) (/ (- 1 (* u1 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))))
#s(approx (- 1 (* (neg (* u2 u2)) (- (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) 98696044010906577398881/5000000000000000000000))) (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))
#s(approx (- 1 (* (neg (* u2 u2)) (- (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) 98696044010906577398881/5000000000000000000000))) (*.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 (- 1 (* (neg (* u2 u2)) (- (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) 98696044010906577398881/5000000000000000000000))) (*.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 (* (neg (* u2 u2)) (- (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) 98696044010906577398881/5000000000000000000000)) (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) #s(literal -9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))
#s(approx (* (neg (* u2 u2)) (- (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) 98696044010906577398881/5000000000000000000000)) (*.f32 (-.f32 (/.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2))))
#s(approx (- (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) 98696044010906577398881/5000000000000000000000) (*.f32 (-.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))) (*.f32 u2 u2)))
#s(approx (sin (+ (* (PI) 1/2) (* u2 314159265359/50000000000))) (sin.f32 (fma.f32 (PI.f32) #s(literal 1/2 binary32) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
#s(approx (+ (* (PI) 1/2) (* u2 314159265359/50000000000)) (*.f32 (fma.f32 (/.f32 (PI.f32) u2) #s(literal 1/2 binary32) #s(literal 314159265359/50000000000 binary32)) u2))
#s(approx (* (sqrt (/ u1 (/ (- 1 (* u1 u1)) (/ (- 1 (* u1 u1)) (- 1 u1))))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (*.f32 u1 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
#s(approx (* (sin (+ (* (PI) 1/2) (* u2 314159265359/50000000000))) (sqrt u1)) (*.f32 (sin.f32 (fma.f32 (PI.f32) #s(literal 1/2 binary32) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 u1)))
#s(approx (sin (+ (* (PI) 1/2) (* u2 314159265359/50000000000))) (sin.f32 (fma.f32 (PI.f32) #s(literal 1/2 binary32) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
#s(approx (+ (* (PI) 1/2) (* u2 314159265359/50000000000)) (neg.f32 (*.f32 (-.f32 (*.f32 (/.f32 (PI.f32) u2) #s(literal -1/2 binary32)) #s(literal 314159265359/50000000000 binary32)) u2)))

eval20.0ms (0.7%)

Memory
7.0MiB live, 52.9MiB allocated; 2ms collecting garbage
Compiler

Compiled 2 842 to 1 068 computations (62.4% saved)

prune30.0ms (1%)

Memory
25.8MiB live, 72.2MiB allocated; 2ms collecting garbage
Pruning

45 alts after pruning (39 fresh and 6 done)

PrunedKeptTotal
New18324207
Fresh121527
Picked325
Done044
Total19845243
Accuracy
99.7%
Counts
243 → 45
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶98.6%
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.5%
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 #s(approx (/ (- 1 (* u1 u1)) (/ (- 1 (* u1 u1)) (- 1 u1))) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
88.7%
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 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 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
93.6%
(*.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 (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))))
▶98.7%
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 #s(approx (- 1 (* u1 u1)) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal 1 binary32)) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓98.8%
(*.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))) (sin.f32 #s(approx (+ (* u2 314159265359/50000000000) (/ (PI) 2)) (fma.f32 (PI.f32) #s(literal 1/2 binary32) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
✓99.0%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
▶93.7%
(*.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))))
91.8%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) 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))))
91.8%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) 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))))
88.9%
(*.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))))
91.8%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) 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))))
91.8%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2)) (*.f32 (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2)))) (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2))))))
91.8%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 #s(literal 1 binary32) #s(approx (* (neg (* u2 u2)) (- (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) 98696044010906577398881/5000000000000000000000)) (*.f32 (fma.f32 #s(literal -9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2))))))
91.8%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 #s(literal 1 binary32) #s(approx (* (neg (* u2 u2)) (- (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) 98696044010906577398881/5000000000000000000000)) (*.f32 (-.f32 (/.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)))))))
88.9%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 #s(literal 1 binary32) #s(approx (* (neg (* u2 u2)) (- (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) 98696044010906577398881/5000000000000000000000)) (*.f32 (*.f32 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)) #s(approx (- 1 (* (neg (* u2 u2)) (- (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) 98696044010906577398881/5000000000000000000000))) (*.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))))))
5.2%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(approx (- 1 (* (neg (* u2 u2)) (- (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) 98696044010906577398881/5000000000000000000000))) (*.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 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(approx (- 1 (* (neg (* u2 u2)) (- (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) 98696044010906577398881/5000000000000000000000))) (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))
▶88.7%
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (/ (- 1 (* u1 u1)) (+ 1 u1)) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #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))))
98.7%
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
90.4%
(*.f32 (sqrt.f32 #s(approx (/ u1 (/ (- 1 (* u1 u1)) (/ (- 1 (* u1 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)))
72.2%
(*.f32 (sqrt.f32 #s(approx (/ u1 (/ (- 1 (* u1 u1)) (/ (- 1 (* u1 u1)) (- 1 u1)))) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
85.4%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1))) (sin.f32 (fma.f32 u2 #s(literal 314159265359/50000000000 binary32) (/.f32 (PI.f32) #s(literal 2 binary32)))))
✓85.5%
(*.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)))
81.7%
(*.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))))
77.5%
(*.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))))
85.4%
(*.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)))
92.0%
(*.f32 #s(approx (sqrt (/ u1 (/ (- 1 (* u1 u1)) (/ (- 1 (* u1 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))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
89.0%
#s(approx (* (sqrt (/ u1 (/ (- 1 (* u1 u1)) (/ (- 1 (* u1 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)))))
88.7%
#s(approx (* (sqrt (/ u1 (/ (- 1 (* u1 u1)) (/ (- 1 (* u1 u1)) (- 1 u1))))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (sqrt.f32 (*.f32 u1 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))) (*.f32 u2 u2)) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (*.f32 u1 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))))
80.6%
#s(approx (* (sqrt (/ u1 (/ (- 1 (* u1 u1)) (/ (- 1 (* u1 u1)) (- 1 u1))))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 u1 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))
85.8%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (/.f32 (*.f32 (sin.f32 (fma.f32 (PI.f32) #s(literal 1/2 binary32) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (*.f32 u1 u1)) (sqrt.f32 u1)) #s(literal 1/2 binary32) (*.f32 (sin.f32 (fma.f32 (PI.f32) #s(literal 1/2 binary32) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 u1))))
88.8%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))
80.6%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
✓72.2%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sin.f32 (fma.f32 (PI.f32) #s(literal 1/2 binary32) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 u1)))
72.2%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sin.f32 (fma.f32 u2 #s(literal 314159265359/50000000000 binary32) (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (sqrt.f32 u1)))
62.4%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sin.f32 #s(approx (+ (* (PI) 1/2) (* u2 314159265359/50000000000)) (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (sqrt.f32 u1)))
80.7%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (fma.f32 u1 #s(literal 1 binary32) (*.f32 u1 u1)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
✓80.7%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
80.6%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 #s(approx (* (+ 1 u1) u1) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) (*.f32 u1 u1))) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
✓80.7%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
▶80.6%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))
72.0%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (* (sin (+ (* (PI) 1/2) (* u2 314159265359/50000000000))) (sqrt u1)) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)) (sin.f32 (fma.f32 (PI.f32) #s(literal 1/2 binary32) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))) u1)))
Compiler

Compiled 1 895 to 1 815 computations (4.2% saved)

series35.0ms (1.2%)

Memory
-29.1MiB live, 69.3MiB allocated; 12ms collecting garbage
Counts
48 → 122
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 #s(approx (- 1 (* u1 u1)) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal 1 binary32)) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 (/.f32 u1 (/.f32 #s(approx (- 1 (* u1 u1)) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal 1 binary32)) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))))
(/.f32 u1 (/.f32 #s(approx (- 1 (* u1 u1)) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal 1 binary32)) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1)))
u1
(/.f32 #s(approx (- 1 (* u1 u1)) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal 1 binary32)) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))
#s(approx (- 1 (* u1 u1)) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal 1 binary32)) (*.f32 u1 u1)))
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal 1 binary32)) (*.f32 u1 u1))
(-.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (*.f32 u1 u1))
#s(literal 1 binary32)
(*.f32 u1 u1)
(+.f32 #s(literal 1 binary32) u1)
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
#s(literal 314159265359/50000000000 binary32)
u2
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))
(sqrt.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
(*.f32 (+.f32 #s(literal 1 binary32) u1) (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))
(/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))
(-.f32 #s(literal 1 binary32) (*.f32 u1 u1))
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (/ (- 1 (* u1 u1)) (+ 1 u1)) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #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))))
(sqrt.f32 (/.f32 u1 #s(approx (/ (- 1 (* u1 u1)) (+ 1 u1)) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1))))
(/.f32 u1 #s(approx (/ (- 1 (* u1 u1)) (+ 1 u1)) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))
#s(approx (/ (- 1 (* u1 u1)) (+ 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(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))
(fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))
(*.f32 u2 u2)
#s(literal -98696044010906577398881/5000000000000000000000 binary32)
(*.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))))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
(-.f32 #s(literal 1 binary32) u1)
#s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.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)))
(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 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32))
(*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2))
(fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))
#s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)
#s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)
#s(literal 98696044010906577398881/5000000000000000000000 binary32)
(*.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 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(sqrt.f32 u1)
(sqrt.f32 (-.f32 #s(literal 1 binary32) u1))
Outputs
#s(approx (* (sqrt (/ u1 (/ (- 1 (* u1 u1)) (+ 1 u1)))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (* (cos (* 314159265359/50000000000 u2)) (sqrt u1))))
#s(approx (* (sqrt (/ u1 (/ (- 1 (* u1 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 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 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 u1)) (+ 1 u1)))) #s(hole binary32 (sqrt u1)))
#s(approx (sqrt (/ u1 (/ (- 1 (* u1 u1)) (+ 1 u1)))) #s(hole binary32 (+ (sqrt u1) (* 1/2 (/ (pow u1 2) (sqrt u1))))))
#s(approx (sqrt (/ u1 (/ (- 1 (* u1 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 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 u1)) (+ 1 u1))) #s(hole binary32 u1))
#s(approx (/ u1 (/ (- 1 (* u1 u1)) (+ 1 u1))) #s(hole binary32 (* u1 (+ 1 u1))))
#s(approx (/ u1 (/ (- 1 (* u1 u1)) (+ 1 u1))) #s(hole binary32 (* u1 (+ 1 (* u1 (+ 1 u1))))))
#s(approx (/ u1 (/ (- 1 (* u1 u1)) (+ 1 u1))) #s(hole binary32 (* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))))
#s(approx (/ (- 1 (* u1 u1)) (+ 1 u1)) #s(hole binary32 1))
#s(approx (/ (- 1 (* u1 u1)) (+ 1 u1)) #s(hole binary32 (+ 1 (* -1 u1))))
#s(approx (- 1 (* u1 u1)) #s(hole binary32 (+ 1 (* -1 (pow u1 2)))))
#s(approx (- (/ 1 (* u1 u1)) 1) #s(hole binary32 (/ 1 (pow u1 2))))
#s(approx (- (/ 1 (* u1 u1)) 1) #s(hole binary32 (/ (+ 1 (* -1 (pow u1 2))) (pow u1 2))))
#s(approx (* u1 u1) #s(hole binary32 (pow u1 2)))
#s(approx (+ 1 u1) #s(hole binary32 (+ 1 u1)))
#s(approx (/ u1 (- 1 (* u1 u1))) #s(hole binary32 (* u1 (+ 1 (pow u1 2)))))
#s(approx (/ u1 (- 1 (* u1 u1))) #s(hole binary32 (* u1 (+ 1 (* (pow u1 2) (+ 1 (pow u1 2)))))))
#s(approx (/ u1 (- 1 (* u1 u1))) #s(hole binary32 (* u1 (+ 1 (* (pow u1 2) (+ 1 (* (pow u1 2) (+ 1 (pow u1 2)))))))))
#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) (sqrt (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (* 1/2 (* u1 (* (cos (* 314159265359/50000000000 u2)) (sqrt u1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt u1)))))
#s(approx (* (/ (sqrt u1) (sqrt (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (* u1 (- (* -1 (* u1 (+ (* -1/4 (* (cos (* 314159265359/50000000000 u2)) (sqrt u1))) (* -1/8 (* (cos (* 314159265359/50000000000 u2)) (sqrt u1)))))) (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt u1))))) (* (cos (* 314159265359/50000000000 u2)) (sqrt u1)))))
#s(approx (* (/ (sqrt u1) (sqrt (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (* u1 (- (* u1 (- (* -1 (* u1 (+ (* -1/8 (* (cos (* 314159265359/50000000000 u2)) (sqrt u1))) (* 1/2 (+ (* -1/4 (* (cos (* 314159265359/50000000000 u2)) (sqrt u1))) (* -1/8 (* (cos (* 314159265359/50000000000 u2)) (sqrt u1)))))))) (+ (* -1/4 (* (cos (* 314159265359/50000000000 u2)) (sqrt u1))) (* -1/8 (* (cos (* 314159265359/50000000000 u2)) (sqrt u1)))))) (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt u1))))) (* (cos (* 314159265359/50000000000 u2)) (sqrt u1)))))
#s(approx (/ (sqrt u1) (sqrt (- 1 u1))) #s(hole binary32 (+ (sqrt u1) (* 1/2 (* u1 (sqrt u1))))))
#s(approx (/ (sqrt u1) (sqrt (- 1 u1))) #s(hole binary32 (+ (sqrt u1) (* u1 (- (* -1 (* u1 (+ (* -1/4 (sqrt u1)) (* -1/8 (sqrt u1))))) (* -1/2 (sqrt u1)))))))
#s(approx (/ (sqrt u1) (sqrt (- 1 u1))) #s(hole binary32 (+ (sqrt u1) (* u1 (- (* u1 (- (* -1 (* u1 (+ (* -1/8 (sqrt u1)) (* 1/2 (+ (* -1/4 (sqrt u1)) (* -1/8 (sqrt u1))))))) (+ (* -1/4 (sqrt u1)) (* -1/8 (sqrt u1))))) (* -1/2 (sqrt u1)))))))
#s(approx (sqrt (- 1 u1)) #s(hole binary32 (+ 1 (* -1/2 u1))))
#s(approx (sqrt (- 1 u1)) #s(hole binary32 (+ 1 (* u1 (- (* -1/8 u1) 1/2)))))
#s(approx (sqrt (- 1 u1)) #s(hole binary32 (+ 1 (* u1 (- (* u1 (- (* -1/16 u1) 1/8)) 1/2)))))
#s(approx (* (sqrt (/ u1 (/ (- 1 (* u1 u1)) (+ 1 u1)))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))
#s(approx (* (sqrt (/ u1 (/ (- 1 (* u1 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 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 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 u1)) (+ 1 u1)))) #s(hole binary32 (sqrt -1)))
#s(approx (sqrt (/ u1 (/ (- 1 (* u1 u1)) (+ 1 u1)))) #s(hole binary32 (- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))))
#s(approx (sqrt (/ u1 (/ (- 1 (* u1 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 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 u1)) (+ 1 u1))) #s(hole binary32 -1))
#s(approx (/ u1 (/ (- 1 (* u1 u1)) (+ 1 u1))) #s(hole binary32 (* -1 (+ 1 (/ 1 u1)))))
#s(approx (/ u1 (/ (- 1 (* u1 u1)) (+ 1 u1))) #s(hole binary32 (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)))
#s(approx (/ u1 (/ (- 1 (* u1 u1)) (+ 1 u1))) #s(hole binary32 (- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))))
#s(approx (/ (- 1 (* u1 u1)) (+ 1 u1)) #s(hole binary32 (* -1 u1)))
#s(approx (/ (- 1 (* u1 u1)) (+ 1 u1)) #s(hole binary32 (* u1 (- (/ 1 u1) 1))))
#s(approx (- 1 (* u1 u1)) #s(hole binary32 (* -1 (pow u1 2))))
#s(approx (- 1 (* u1 u1)) #s(hole binary32 (* (pow u1 2) (- (/ 1 (pow u1 2)) 1))))
#s(approx (- (/ 1 (* u1 u1)) 1) #s(hole binary32 (- (/ 1 (pow u1 2)) 1)))
#s(approx (+ 1 u1) #s(hole binary32 (* u1 (+ 1 (/ 1 u1)))))
#s(approx (/ u1 (- 1 (* u1 u1))) #s(hole binary32 (/ -1 u1)))
#s(approx (/ u1 (- 1 (* u1 u1))) #s(hole binary32 (* -1 (/ (+ 1 (/ 1 (pow u1 2))) u1))))
#s(approx (/ u1 (- 1 (* u1 u1))) #s(hole binary32 (/ (- (* -1 (/ (+ 1 (/ 1 (pow u1 2))) (pow u1 2))) 1) u1)))
#s(approx (/ u1 (- 1 (* u1 u1))) #s(hole binary32 (/ (- (* -1 (/ (+ 1 (/ 1 (pow u1 2))) (pow u1 4))) (+ 1 (/ 1 (pow u1 2)))) u1)))
#s(approx (- (/ 1 u1) 1) #s(hole binary32 (- (/ 1 u1) 1)))
#s(approx (* (/ (sqrt u1) (sqrt (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt (/ 1 u1))) (sqrt (/ -1 u1)))))
#s(approx (* (/ (sqrt u1) (sqrt (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt (/ 1 u1))) (* (pow u1 2) (pow (sqrt (/ -1 u1)) 3)))) (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt (/ 1 u1))) (sqrt (/ -1 u1))))))
#s(approx (* (/ (sqrt u1) (sqrt (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (- (+ (* -1 (/ (+ (* -1/4 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt (/ 1 u1))) (pow (sqrt (/ -1 u1)) 5))) (* -1/8 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt (/ 1 u1))) (pow (sqrt (/ -1 u1)) 5)))) (pow u1 4))) (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt (/ 1 u1))) (sqrt (/ -1 u1)))) (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt (/ 1 u1))) (* (pow u1 2) (pow (sqrt (/ -1 u1)) 3)))))))
#s(approx (* (/ (sqrt u1) (sqrt (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (- (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1/4 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt (/ 1 u1))) (pow (sqrt (/ -1 u1)) 5))) (* -1/8 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt (/ 1 u1))) (pow (sqrt (/ -1 u1)) 5)))) (pow (sqrt (/ -1 u1)) 2))) (* 1/8 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt (/ 1 u1))) (pow (sqrt (/ -1 u1)) 7)))) (pow u1 6))) (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt (/ 1 u1))) (sqrt (/ -1 u1)))) (+ (* -1/4 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt (/ 1 u1))) (* (pow u1 4) (pow (sqrt (/ -1 u1)) 5)))) (+ (* -1/8 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt (/ 1 u1))) (* (pow u1 4) (pow (sqrt (/ -1 u1)) 5)))) (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt (/ 1 u1))) (* (pow u1 2) (pow (sqrt (/ -1 u1)) 3)))))))))
#s(approx (/ (sqrt u1) (sqrt (- 1 u1))) #s(hole binary32 (/ (sqrt (/ 1 u1)) (sqrt (/ -1 u1)))))
#s(approx (/ (sqrt u1) (sqrt (- 1 u1))) #s(hole binary32 (+ (* -1/2 (/ (sqrt (/ 1 u1)) (* (pow u1 2) (pow (sqrt (/ -1 u1)) 3)))) (/ (sqrt (/ 1 u1)) (sqrt (/ -1 u1))))))
#s(approx (/ (sqrt u1) (sqrt (- 1 u1))) #s(hole binary32 (- (+ (* -1 (/ (+ (* -1/4 (/ (sqrt (/ 1 u1)) (pow (sqrt (/ -1 u1)) 5))) (* -1/8 (/ (sqrt (/ 1 u1)) (pow (sqrt (/ -1 u1)) 5)))) (pow u1 4))) (/ (sqrt (/ 1 u1)) (sqrt (/ -1 u1)))) (* 1/2 (/ (sqrt (/ 1 u1)) (* (pow u1 2) (pow (sqrt (/ -1 u1)) 3)))))))
#s(approx (/ (sqrt u1) (sqrt (- 1 u1))) #s(hole binary32 (- (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1/4 (/ (sqrt (/ 1 u1)) (pow (sqrt (/ -1 u1)) 5))) (* -1/8 (/ (sqrt (/ 1 u1)) (pow (sqrt (/ -1 u1)) 5)))) (pow (sqrt (/ -1 u1)) 2))) (* 1/8 (/ (sqrt (/ 1 u1)) (pow (sqrt (/ -1 u1)) 7)))) (pow u1 6))) (/ (sqrt (/ 1 u1)) (sqrt (/ -1 u1)))) (+ (* -1/4 (/ (sqrt (/ 1 u1)) (* (pow u1 4) (pow (sqrt (/ -1 u1)) 5)))) (+ (* -1/8 (/ (sqrt (/ 1 u1)) (* (pow u1 4) (pow (sqrt (/ -1 u1)) 5)))) (* 1/2 (/ (sqrt (/ 1 u1)) (* (pow u1 2) (pow (sqrt (/ -1 u1)) 3)))))))))
#s(approx (sqrt u1) #s(hole binary32 (* u1 (sqrt (/ 1 u1)))))
#s(approx (sqrt (- 1 u1)) #s(hole binary32 (* u1 (sqrt (/ -1 u1)))))
#s(approx (sqrt (- 1 u1)) #s(hole binary32 (* u1 (+ (sqrt (/ -1 u1)) (* 1/2 (/ 1 (* (pow u1 2) (sqrt (/ -1 u1)))))))))
#s(approx (sqrt (- 1 u1)) #s(hole binary32 (* u1 (- (+ (sqrt (/ -1 u1)) (/ 1/2 (* (pow u1 2) (sqrt (/ -1 u1))))) (/ 1/8 (* (pow u1 4) (pow (sqrt (/ -1 u1)) 3)))))))
#s(approx (sqrt (- 1 u1)) #s(hole binary32 (* u1 (- (+ (sqrt (/ -1 u1)) (+ (/ 1/2 (* (pow u1 2) (sqrt (/ -1 u1)))) (* 1/16 (/ 1 (* (pow u1 6) (pow (sqrt (/ -1 u1)) 5)))))) (* 1/8 (/ 1 (* (pow u1 4) (pow (sqrt (/ -1 u1)) 3))))))))
#s(approx (* (sqrt (/ u1 (/ (- 1 (* u1 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 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 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 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 u1)) (+ 1 u1))) #s(hole binary32 (- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)))
#s(approx (/ (- 1 (* u1 u1)) (+ 1 u1)) #s(hole binary32 (* -1 (* u1 (- 1 (/ 1 u1))))))
#s(approx (/ u1 (- 1 (* u1 u1))) #s(hole binary32 (* -1 (/ (+ 1 (+ (/ 1 (pow u1 2)) (/ 1 (pow u1 4)))) u1))))
#s(approx (/ u1 (- 1 (* u1 u1))) #s(hole binary32 (* -1 (/ (+ 1 (+ (/ 1 (pow u1 2)) (+ (/ 1 (pow u1 4)) (/ 1 (pow u1 6))))) u1))))
#s(approx (sqrt u1) #s(hole binary32 (* -1 (* u1 (sqrt (/ 1 u1))))))
#s(approx (sqrt (- 1 u1)) #s(hole binary32 (* -1 (* u1 (sqrt (/ -1 u1))))))
#s(approx (sqrt (- 1 u1)) #s(hole binary32 (* -1 (* u1 (+ (sqrt (/ -1 u1)) (* 1/2 (/ 1 (* (pow u1 2) (sqrt (/ -1 u1))))))))))
#s(approx (sqrt (- 1 u1)) #s(hole binary32 (* -1 (* u1 (- (+ (sqrt (/ -1 u1)) (/ 1/2 (* (pow u1 2) (sqrt (/ -1 u1))))) (/ 1/8 (* (pow u1 4) (pow (sqrt (/ -1 u1)) 3))))))))
#s(approx (sqrt (- 1 u1)) #s(hole binary32 (* -1 (* u1 (- (+ (sqrt (/ -1 u1)) (+ (/ 1/2 (* (pow u1 2) (sqrt (/ -1 u1)))) (* 1/16 (/ 1 (* (pow u1 6) (pow (sqrt (/ -1 u1)) 5)))))) (* 1/8 (/ 1 (* (pow u1 4) (pow (sqrt (/ -1 u1)) 3)))))))))
#s(approx (* (sqrt (/ u1 (/ (- 1 (* u1 u1)) (+ 1 u1)))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2))))))
#s(approx (* (sqrt (/ u1 (/ (- 1 (* u1 u1)) (+ 1 u1)))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))))))))
#s(approx (* (sqrt (/ u1 (/ (- 1 (* u1 u1)) (+ 1 u1)))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))))))))))
#s(approx (* (sqrt (/ u1 (/ (- 1 (* u1 u1)) (+ 1 u1)))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2))))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 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 (* 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 (* u2 u2) #s(hole binary32 (pow u2 2)))
#s(approx (- (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (* u2 u2)) 98696044010906577398881/5000000000000000000000) #s(hole binary32 -98696044010906577398881/5000000000000000000000))
#s(approx (- (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (* u2 u2)) 98696044010906577398881/5000000000000000000000) #s(hole binary32 (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))
#s(approx (- (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (* u2 u2)) 98696044010906577398881/5000000000000000000000) #s(hole binary32 (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)))
#s(approx (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (* u2 u2)) #s(hole binary32 (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2))))
#s(approx (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (* u2 u2)) #s(hole binary32 (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))))))
#s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) #s(hole binary32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000))
#s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) #s(hole binary32 (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))))
#s(approx (* (/ (sqrt u1) (sqrt (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (/ (sqrt u1) (sqrt (- 1 u1)))))
#s(approx (* (/ (sqrt u1) (sqrt (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (* -98696044010906577398881/5000000000000000000000 (/ (* (pow u2 2) (sqrt u1)) (sqrt (- 1 u1)))) (/ (sqrt u1) (sqrt (- 1 u1))))))
#s(approx (* (/ (sqrt u1) (sqrt (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (/ (sqrt u1) (sqrt (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ (* (pow u2 2) (sqrt u1)) (sqrt (- 1 u1)))))) (/ (sqrt u1) (sqrt (- 1 u1))))))
#s(approx (* (/ (sqrt u1) (sqrt (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (/ (sqrt u1) (sqrt (- 1 u1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (/ (* (pow u2 2) (sqrt u1)) (sqrt (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ (sqrt u1) (sqrt (- 1 u1)))))))) (/ (sqrt u1) (sqrt (- 1 u1))))))
#s(approx (* (sqrt (/ u1 (/ (- 1 (* u1 u1)) (+ 1 u1)))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (* (cos (* 314159265359/50000000000 u2)) (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))))))
#s(approx (cos (* 314159265359/50000000000 u2)) #s(hole binary32 (cos (* 314159265359/50000000000 u2))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (* (cos (* 314159265359/50000000000 u2)) (sqrt (/ u1 (- 1 u1))))))
#s(approx (+ (* (* u2 u2) -98696044010906577398881/5000000000000000000000) 1) #s(hole binary32 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))))
#s(approx (+ (* (* u2 u2) -98696044010906577398881/5000000000000000000000) 1) #s(hole binary32 (* (pow u2 2) (- (/ 1 (pow u2 2)) 98696044010906577398881/5000000000000000000000))))
#s(approx (+ (* (- (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (* u2 u2)) 98696044010906577398881/5000000000000000000000) (* u2 u2)) 1) #s(hole binary32 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 6))))
#s(approx (+ (* (- (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (* u2 u2)) 98696044010906577398881/5000000000000000000000) (* u2 u2)) 1) #s(hole binary32 (* (pow u2 6) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))))
#s(approx (+ (* (- (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (* u2 u2)) 98696044010906577398881/5000000000000000000000) (* u2 u2)) 1) #s(hole binary32 (* (pow u2 6) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) (+ 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (/ 98696044010906577398881/5000000000000000000000 (pow u2 4)))))))
#s(approx (+ (* (- (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (* u2 u2)) 98696044010906577398881/5000000000000000000000) (* u2 u2)) 1) #s(hole binary32 (* (pow u2 6) (- (+ (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) (/ 1 (pow u2 6))) (+ 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (/ 98696044010906577398881/5000000000000000000000 (pow u2 4)))))))
#s(approx (- (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (* u2 u2)) 98696044010906577398881/5000000000000000000000) #s(hole binary32 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 4))))
#s(approx (- (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (* u2 u2)) 98696044010906577398881/5000000000000000000000) #s(hole binary32 (* (pow u2 4) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))))
#s(approx (- (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (* u2 u2)) 98696044010906577398881/5000000000000000000000) #s(hole binary32 (* (pow u2 4) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) (+ 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (/ 98696044010906577398881/5000000000000000000000 (pow u2 4)))))))
#s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) #s(hole binary32 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))))
#s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) #s(hole binary32 (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))))
#s(approx (* (/ (sqrt u1) (sqrt (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt u1)) (sqrt (- 1 u1)))))
Calls

9 calls:

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

rewrite151.0ms (5.3%)

Memory
21.0MiB live, 157.6MiB allocated; 8ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06384332
06963512
038883432
Stop Event
1×iter-limit
1×iter-limit
1×node-limit
1×iter-limit
Counts
170 → 287
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 #s(approx (- 1 (* u1 u1)) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal 1 binary32)) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 (/.f32 u1 (/.f32 #s(approx (- 1 (* u1 u1)) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal 1 binary32)) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))))
(/.f32 u1 (/.f32 #s(approx (- 1 (* u1 u1)) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal 1 binary32)) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1)))
u1
(/.f32 #s(approx (- 1 (* u1 u1)) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal 1 binary32)) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))
#s(approx (- 1 (* u1 u1)) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal 1 binary32)) (*.f32 u1 u1)))
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal 1 binary32)) (*.f32 u1 u1))
(-.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (*.f32 u1 u1))
#s(literal 1 binary32)
(*.f32 u1 u1)
(+.f32 #s(literal 1 binary32) u1)
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
#s(literal 314159265359/50000000000 binary32)
u2
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))
(sqrt.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
(*.f32 (+.f32 #s(literal 1 binary32) u1) (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))
(/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))
(-.f32 #s(literal 1 binary32) (*.f32 u1 u1))
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (/ (- 1 (* u1 u1)) (+ 1 u1)) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #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))))
(sqrt.f32 (/.f32 u1 #s(approx (/ (- 1 (* u1 u1)) (+ 1 u1)) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1))))
(/.f32 u1 #s(approx (/ (- 1 (* u1 u1)) (+ 1 u1)) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))
#s(approx (/ (- 1 (* u1 u1)) (+ 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(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))
(fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))
(*.f32 u2 u2)
#s(literal -98696044010906577398881/5000000000000000000000 binary32)
(*.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))))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
(-.f32 #s(literal 1 binary32) u1)
#s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.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)))
(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 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32))
(*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2))
(fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))
#s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)
#s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)
#s(literal 98696044010906577398881/5000000000000000000000 binary32)
(*.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 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(sqrt.f32 u1)
(sqrt.f32 (-.f32 #s(literal 1 binary32) u1))
#s(approx (* (sqrt (/ u1 (/ (- 1 (* u1 u1)) (+ 1 u1)))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (* (cos (* 314159265359/50000000000 u2)) (sqrt u1))))
#s(approx (* (sqrt (/ u1 (/ (- 1 (* u1 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 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 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 u1)) (+ 1 u1)))) #s(hole binary32 (sqrt u1)))
#s(approx (sqrt (/ u1 (/ (- 1 (* u1 u1)) (+ 1 u1)))) #s(hole binary32 (+ (sqrt u1) (* 1/2 (/ (pow u1 2) (sqrt u1))))))
#s(approx (sqrt (/ u1 (/ (- 1 (* u1 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 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 u1)) (+ 1 u1))) #s(hole binary32 u1))
#s(approx (/ u1 (/ (- 1 (* u1 u1)) (+ 1 u1))) #s(hole binary32 (* u1 (+ 1 u1))))
#s(approx (/ u1 (/ (- 1 (* u1 u1)) (+ 1 u1))) #s(hole binary32 (* u1 (+ 1 (* u1 (+ 1 u1))))))
#s(approx (/ u1 (/ (- 1 (* u1 u1)) (+ 1 u1))) #s(hole binary32 (* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))))
#s(approx (/ (- 1 (* u1 u1)) (+ 1 u1)) #s(hole binary32 1))
#s(approx (/ (- 1 (* u1 u1)) (+ 1 u1)) #s(hole binary32 (+ 1 (* -1 u1))))
#s(approx (- 1 (* u1 u1)) #s(hole binary32 (+ 1 (* -1 (pow u1 2)))))
#s(approx (- (/ 1 (* u1 u1)) 1) #s(hole binary32 (/ 1 (pow u1 2))))
#s(approx (- (/ 1 (* u1 u1)) 1) #s(hole binary32 (/ (+ 1 (* -1 (pow u1 2))) (pow u1 2))))
#s(approx (* u1 u1) #s(hole binary32 (pow u1 2)))
#s(approx (+ 1 u1) #s(hole binary32 (+ 1 u1)))
#s(approx (/ u1 (- 1 (* u1 u1))) #s(hole binary32 (* u1 (+ 1 (pow u1 2)))))
#s(approx (/ u1 (- 1 (* u1 u1))) #s(hole binary32 (* u1 (+ 1 (* (pow u1 2) (+ 1 (pow u1 2)))))))
#s(approx (/ u1 (- 1 (* u1 u1))) #s(hole binary32 (* u1 (+ 1 (* (pow u1 2) (+ 1 (* (pow u1 2) (+ 1 (pow u1 2)))))))))
#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) (sqrt (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (* 1/2 (* u1 (* (cos (* 314159265359/50000000000 u2)) (sqrt u1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt u1)))))
#s(approx (* (/ (sqrt u1) (sqrt (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (* u1 (- (* -1 (* u1 (+ (* -1/4 (* (cos (* 314159265359/50000000000 u2)) (sqrt u1))) (* -1/8 (* (cos (* 314159265359/50000000000 u2)) (sqrt u1)))))) (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt u1))))) (* (cos (* 314159265359/50000000000 u2)) (sqrt u1)))))
#s(approx (* (/ (sqrt u1) (sqrt (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (* u1 (- (* u1 (- (* -1 (* u1 (+ (* -1/8 (* (cos (* 314159265359/50000000000 u2)) (sqrt u1))) (* 1/2 (+ (* -1/4 (* (cos (* 314159265359/50000000000 u2)) (sqrt u1))) (* -1/8 (* (cos (* 314159265359/50000000000 u2)) (sqrt u1)))))))) (+ (* -1/4 (* (cos (* 314159265359/50000000000 u2)) (sqrt u1))) (* -1/8 (* (cos (* 314159265359/50000000000 u2)) (sqrt u1)))))) (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt u1))))) (* (cos (* 314159265359/50000000000 u2)) (sqrt u1)))))
#s(approx (/ (sqrt u1) (sqrt (- 1 u1))) #s(hole binary32 (+ (sqrt u1) (* 1/2 (* u1 (sqrt u1))))))
#s(approx (/ (sqrt u1) (sqrt (- 1 u1))) #s(hole binary32 (+ (sqrt u1) (* u1 (- (* -1 (* u1 (+ (* -1/4 (sqrt u1)) (* -1/8 (sqrt u1))))) (* -1/2 (sqrt u1)))))))
#s(approx (/ (sqrt u1) (sqrt (- 1 u1))) #s(hole binary32 (+ (sqrt u1) (* u1 (- (* u1 (- (* -1 (* u1 (+ (* -1/8 (sqrt u1)) (* 1/2 (+ (* -1/4 (sqrt u1)) (* -1/8 (sqrt u1))))))) (+ (* -1/4 (sqrt u1)) (* -1/8 (sqrt u1))))) (* -1/2 (sqrt u1)))))))
#s(approx (sqrt (- 1 u1)) #s(hole binary32 (+ 1 (* -1/2 u1))))
#s(approx (sqrt (- 1 u1)) #s(hole binary32 (+ 1 (* u1 (- (* -1/8 u1) 1/2)))))
#s(approx (sqrt (- 1 u1)) #s(hole binary32 (+ 1 (* u1 (- (* u1 (- (* -1/16 u1) 1/8)) 1/2)))))
#s(approx (* (sqrt (/ u1 (/ (- 1 (* u1 u1)) (+ 1 u1)))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))
#s(approx (* (sqrt (/ u1 (/ (- 1 (* u1 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 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 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 u1)) (+ 1 u1)))) #s(hole binary32 (sqrt -1)))
#s(approx (sqrt (/ u1 (/ (- 1 (* u1 u1)) (+ 1 u1)))) #s(hole binary32 (- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))))
#s(approx (sqrt (/ u1 (/ (- 1 (* u1 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 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 u1)) (+ 1 u1))) #s(hole binary32 -1))
#s(approx (/ u1 (/ (- 1 (* u1 u1)) (+ 1 u1))) #s(hole binary32 (* -1 (+ 1 (/ 1 u1)))))
#s(approx (/ u1 (/ (- 1 (* u1 u1)) (+ 1 u1))) #s(hole binary32 (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)))
#s(approx (/ u1 (/ (- 1 (* u1 u1)) (+ 1 u1))) #s(hole binary32 (- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))))
#s(approx (/ (- 1 (* u1 u1)) (+ 1 u1)) #s(hole binary32 (* -1 u1)))
#s(approx (/ (- 1 (* u1 u1)) (+ 1 u1)) #s(hole binary32 (* u1 (- (/ 1 u1) 1))))
#s(approx (- 1 (* u1 u1)) #s(hole binary32 (* -1 (pow u1 2))))
#s(approx (- 1 (* u1 u1)) #s(hole binary32 (* (pow u1 2) (- (/ 1 (pow u1 2)) 1))))
#s(approx (- (/ 1 (* u1 u1)) 1) #s(hole binary32 (- (/ 1 (pow u1 2)) 1)))
#s(approx (+ 1 u1) #s(hole binary32 (* u1 (+ 1 (/ 1 u1)))))
#s(approx (/ u1 (- 1 (* u1 u1))) #s(hole binary32 (/ -1 u1)))
#s(approx (/ u1 (- 1 (* u1 u1))) #s(hole binary32 (* -1 (/ (+ 1 (/ 1 (pow u1 2))) u1))))
#s(approx (/ u1 (- 1 (* u1 u1))) #s(hole binary32 (/ (- (* -1 (/ (+ 1 (/ 1 (pow u1 2))) (pow u1 2))) 1) u1)))
#s(approx (/ u1 (- 1 (* u1 u1))) #s(hole binary32 (/ (- (* -1 (/ (+ 1 (/ 1 (pow u1 2))) (pow u1 4))) (+ 1 (/ 1 (pow u1 2)))) u1)))
#s(approx (- (/ 1 u1) 1) #s(hole binary32 (- (/ 1 u1) 1)))
#s(approx (* (/ (sqrt u1) (sqrt (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt (/ 1 u1))) (sqrt (/ -1 u1)))))
#s(approx (* (/ (sqrt u1) (sqrt (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt (/ 1 u1))) (* (pow u1 2) (pow (sqrt (/ -1 u1)) 3)))) (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt (/ 1 u1))) (sqrt (/ -1 u1))))))
#s(approx (* (/ (sqrt u1) (sqrt (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (- (+ (* -1 (/ (+ (* -1/4 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt (/ 1 u1))) (pow (sqrt (/ -1 u1)) 5))) (* -1/8 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt (/ 1 u1))) (pow (sqrt (/ -1 u1)) 5)))) (pow u1 4))) (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt (/ 1 u1))) (sqrt (/ -1 u1)))) (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt (/ 1 u1))) (* (pow u1 2) (pow (sqrt (/ -1 u1)) 3)))))))
#s(approx (* (/ (sqrt u1) (sqrt (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (- (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1/4 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt (/ 1 u1))) (pow (sqrt (/ -1 u1)) 5))) (* -1/8 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt (/ 1 u1))) (pow (sqrt (/ -1 u1)) 5)))) (pow (sqrt (/ -1 u1)) 2))) (* 1/8 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt (/ 1 u1))) (pow (sqrt (/ -1 u1)) 7)))) (pow u1 6))) (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt (/ 1 u1))) (sqrt (/ -1 u1)))) (+ (* -1/4 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt (/ 1 u1))) (* (pow u1 4) (pow (sqrt (/ -1 u1)) 5)))) (+ (* -1/8 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt (/ 1 u1))) (* (pow u1 4) (pow (sqrt (/ -1 u1)) 5)))) (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt (/ 1 u1))) (* (pow u1 2) (pow (sqrt (/ -1 u1)) 3)))))))))
#s(approx (/ (sqrt u1) (sqrt (- 1 u1))) #s(hole binary32 (/ (sqrt (/ 1 u1)) (sqrt (/ -1 u1)))))
#s(approx (/ (sqrt u1) (sqrt (- 1 u1))) #s(hole binary32 (+ (* -1/2 (/ (sqrt (/ 1 u1)) (* (pow u1 2) (pow (sqrt (/ -1 u1)) 3)))) (/ (sqrt (/ 1 u1)) (sqrt (/ -1 u1))))))
#s(approx (/ (sqrt u1) (sqrt (- 1 u1))) #s(hole binary32 (- (+ (* -1 (/ (+ (* -1/4 (/ (sqrt (/ 1 u1)) (pow (sqrt (/ -1 u1)) 5))) (* -1/8 (/ (sqrt (/ 1 u1)) (pow (sqrt (/ -1 u1)) 5)))) (pow u1 4))) (/ (sqrt (/ 1 u1)) (sqrt (/ -1 u1)))) (* 1/2 (/ (sqrt (/ 1 u1)) (* (pow u1 2) (pow (sqrt (/ -1 u1)) 3)))))))
#s(approx (/ (sqrt u1) (sqrt (- 1 u1))) #s(hole binary32 (- (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1/4 (/ (sqrt (/ 1 u1)) (pow (sqrt (/ -1 u1)) 5))) (* -1/8 (/ (sqrt (/ 1 u1)) (pow (sqrt (/ -1 u1)) 5)))) (pow (sqrt (/ -1 u1)) 2))) (* 1/8 (/ (sqrt (/ 1 u1)) (pow (sqrt (/ -1 u1)) 7)))) (pow u1 6))) (/ (sqrt (/ 1 u1)) (sqrt (/ -1 u1)))) (+ (* -1/4 (/ (sqrt (/ 1 u1)) (* (pow u1 4) (pow (sqrt (/ -1 u1)) 5)))) (+ (* -1/8 (/ (sqrt (/ 1 u1)) (* (pow u1 4) (pow (sqrt (/ -1 u1)) 5)))) (* 1/2 (/ (sqrt (/ 1 u1)) (* (pow u1 2) (pow (sqrt (/ -1 u1)) 3)))))))))
#s(approx (sqrt u1) #s(hole binary32 (* u1 (sqrt (/ 1 u1)))))
#s(approx (sqrt (- 1 u1)) #s(hole binary32 (* u1 (sqrt (/ -1 u1)))))
#s(approx (sqrt (- 1 u1)) #s(hole binary32 (* u1 (+ (sqrt (/ -1 u1)) (* 1/2 (/ 1 (* (pow u1 2) (sqrt (/ -1 u1)))))))))
#s(approx (sqrt (- 1 u1)) #s(hole binary32 (* u1 (- (+ (sqrt (/ -1 u1)) (/ 1/2 (* (pow u1 2) (sqrt (/ -1 u1))))) (/ 1/8 (* (pow u1 4) (pow (sqrt (/ -1 u1)) 3)))))))
#s(approx (sqrt (- 1 u1)) #s(hole binary32 (* u1 (- (+ (sqrt (/ -1 u1)) (+ (/ 1/2 (* (pow u1 2) (sqrt (/ -1 u1)))) (* 1/16 (/ 1 (* (pow u1 6) (pow (sqrt (/ -1 u1)) 5)))))) (* 1/8 (/ 1 (* (pow u1 4) (pow (sqrt (/ -1 u1)) 3))))))))
#s(approx (* (sqrt (/ u1 (/ (- 1 (* u1 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 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 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 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 u1)) (+ 1 u1))) #s(hole binary32 (- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)))
#s(approx (/ (- 1 (* u1 u1)) (+ 1 u1)) #s(hole binary32 (* -1 (* u1 (- 1 (/ 1 u1))))))
#s(approx (/ u1 (- 1 (* u1 u1))) #s(hole binary32 (* -1 (/ (+ 1 (+ (/ 1 (pow u1 2)) (/ 1 (pow u1 4)))) u1))))
#s(approx (/ u1 (- 1 (* u1 u1))) #s(hole binary32 (* -1 (/ (+ 1 (+ (/ 1 (pow u1 2)) (+ (/ 1 (pow u1 4)) (/ 1 (pow u1 6))))) u1))))
#s(approx (sqrt u1) #s(hole binary32 (* -1 (* u1 (sqrt (/ 1 u1))))))
#s(approx (sqrt (- 1 u1)) #s(hole binary32 (* -1 (* u1 (sqrt (/ -1 u1))))))
#s(approx (sqrt (- 1 u1)) #s(hole binary32 (* -1 (* u1 (+ (sqrt (/ -1 u1)) (* 1/2 (/ 1 (* (pow u1 2) (sqrt (/ -1 u1))))))))))
#s(approx (sqrt (- 1 u1)) #s(hole binary32 (* -1 (* u1 (- (+ (sqrt (/ -1 u1)) (/ 1/2 (* (pow u1 2) (sqrt (/ -1 u1))))) (/ 1/8 (* (pow u1 4) (pow (sqrt (/ -1 u1)) 3))))))))
#s(approx (sqrt (- 1 u1)) #s(hole binary32 (* -1 (* u1 (- (+ (sqrt (/ -1 u1)) (+ (/ 1/2 (* (pow u1 2) (sqrt (/ -1 u1)))) (* 1/16 (/ 1 (* (pow u1 6) (pow (sqrt (/ -1 u1)) 5)))))) (* 1/8 (/ 1 (* (pow u1 4) (pow (sqrt (/ -1 u1)) 3)))))))))
#s(approx (* (sqrt (/ u1 (/ (- 1 (* u1 u1)) (+ 1 u1)))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2))))))
#s(approx (* (sqrt (/ u1 (/ (- 1 (* u1 u1)) (+ 1 u1)))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))))))))
#s(approx (* (sqrt (/ u1 (/ (- 1 (* u1 u1)) (+ 1 u1)))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))))))))))
#s(approx (* (sqrt (/ u1 (/ (- 1 (* u1 u1)) (+ 1 u1)))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2))))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 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 (* 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 (* u2 u2) #s(hole binary32 (pow u2 2)))
#s(approx (- (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (* u2 u2)) 98696044010906577398881/5000000000000000000000) #s(hole binary32 -98696044010906577398881/5000000000000000000000))
#s(approx (- (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (* u2 u2)) 98696044010906577398881/5000000000000000000000) #s(hole binary32 (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))
#s(approx (- (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (* u2 u2)) 98696044010906577398881/5000000000000000000000) #s(hole binary32 (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)))
#s(approx (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (* u2 u2)) #s(hole binary32 (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2))))
#s(approx (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (* u2 u2)) #s(hole binary32 (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))))))
#s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) #s(hole binary32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000))
#s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) #s(hole binary32 (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))))
#s(approx (* (/ (sqrt u1) (sqrt (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (/ (sqrt u1) (sqrt (- 1 u1)))))
#s(approx (* (/ (sqrt u1) (sqrt (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (* -98696044010906577398881/5000000000000000000000 (/ (* (pow u2 2) (sqrt u1)) (sqrt (- 1 u1)))) (/ (sqrt u1) (sqrt (- 1 u1))))))
#s(approx (* (/ (sqrt u1) (sqrt (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (/ (sqrt u1) (sqrt (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ (* (pow u2 2) (sqrt u1)) (sqrt (- 1 u1)))))) (/ (sqrt u1) (sqrt (- 1 u1))))))
#s(approx (* (/ (sqrt u1) (sqrt (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (/ (sqrt u1) (sqrt (- 1 u1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (/ (* (pow u2 2) (sqrt u1)) (sqrt (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ (sqrt u1) (sqrt (- 1 u1)))))))) (/ (sqrt u1) (sqrt (- 1 u1))))))
#s(approx (* (sqrt (/ u1 (/ (- 1 (* u1 u1)) (+ 1 u1)))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (* (cos (* 314159265359/50000000000 u2)) (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))))))
#s(approx (cos (* 314159265359/50000000000 u2)) #s(hole binary32 (cos (* 314159265359/50000000000 u2))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (* (cos (* 314159265359/50000000000 u2)) (sqrt (/ u1 (- 1 u1))))))
#s(approx (+ (* (* u2 u2) -98696044010906577398881/5000000000000000000000) 1) #s(hole binary32 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))))
#s(approx (+ (* (* u2 u2) -98696044010906577398881/5000000000000000000000) 1) #s(hole binary32 (* (pow u2 2) (- (/ 1 (pow u2 2)) 98696044010906577398881/5000000000000000000000))))
#s(approx (+ (* (- (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (* u2 u2)) 98696044010906577398881/5000000000000000000000) (* u2 u2)) 1) #s(hole binary32 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 6))))
#s(approx (+ (* (- (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (* u2 u2)) 98696044010906577398881/5000000000000000000000) (* u2 u2)) 1) #s(hole binary32 (* (pow u2 6) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))))
#s(approx (+ (* (- (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (* u2 u2)) 98696044010906577398881/5000000000000000000000) (* u2 u2)) 1) #s(hole binary32 (* (pow u2 6) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) (+ 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (/ 98696044010906577398881/5000000000000000000000 (pow u2 4)))))))
#s(approx (+ (* (- (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (* u2 u2)) 98696044010906577398881/5000000000000000000000) (* u2 u2)) 1) #s(hole binary32 (* (pow u2 6) (- (+ (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) (/ 1 (pow u2 6))) (+ 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (/ 98696044010906577398881/5000000000000000000000 (pow u2 4)))))))
#s(approx (- (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (* u2 u2)) 98696044010906577398881/5000000000000000000000) #s(hole binary32 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 4))))
#s(approx (- (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (* u2 u2)) 98696044010906577398881/5000000000000000000000) #s(hole binary32 (* (pow u2 4) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))))
#s(approx (- (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (* u2 u2)) 98696044010906577398881/5000000000000000000000) #s(hole binary32 (* (pow u2 4) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) (+ 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (/ 98696044010906577398881/5000000000000000000000 (pow u2 4)))))))
#s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) #s(hole binary32 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))))
#s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) #s(hole binary32 (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))))
#s(approx (* (/ (sqrt u1) (sqrt (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt u1)) (sqrt (- 1 u1)))))
Outputs
(*.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (*.f32 (/.f32 u1 #s(approx (- 1 (* u1 u1)) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal 1 binary32)) (*.f32 u1 u1)))) (+.f32 #s(literal 1 binary32) u1))))
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 #s(approx (- 1 (* u1 u1)) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal 1 binary32)) (*.f32 u1 u1)))) (+.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(sqrt.f32 (*.f32 (/.f32 u1 #s(approx (- 1 (* u1 u1)) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal 1 binary32)) (*.f32 u1 u1)))) (+.f32 #s(literal 1 binary32) u1)))
(/.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(approx (- 1 (* u1 u1)) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal 1 binary32)) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))))
(pow.f32 (*.f32 (/.f32 u1 #s(approx (- 1 (* u1 u1)) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal 1 binary32)) (*.f32 u1 u1)))) (+.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32))
(*.f32 (/.f32 u1 #s(approx (- 1 (* u1 u1)) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal 1 binary32)) (*.f32 u1 u1)))) (+.f32 #s(literal 1 binary32) u1))
(/.f32 (neg.f32 u1) (neg.f32 (/.f32 #s(approx (- 1 (* u1 u1)) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal 1 binary32)) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))))
(/.f32 u1 (/.f32 #s(approx (- 1 (* u1 u1)) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal 1 binary32)) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1)))
u1
(/.f32 (neg.f32 #s(approx (- 1 (* u1 u1)) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal 1 binary32)) (*.f32 u1 u1)))) (neg.f32 (+.f32 #s(literal 1 binary32) u1)))
(/.f32 #s(approx (- 1 (* u1 u1)) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal 1 binary32)) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))
#s(approx (- 1 (* u1 u1)) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal 1 binary32)) (*.f32 u1 u1)))
(*.f32 (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal 1 binary32)) u1) u1)
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal 1 binary32)) (*.f32 u1 u1))
(*.f32 (*.f32 u1 u1) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal 1 binary32)))
(/.f32 (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1))) #s(literal 1 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal 1 binary32)))
(/.f32 (-.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal 3 binary32)) #s(literal 1 binary32)) (fma.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal 1 binary32)))))
(-.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal 1 binary32))
(/.f32 (/.f32 #s(literal 1 binary32) u1) u1)
(/.f32 #s(literal -1 binary32) (neg.f32 (*.f32 u1 u1)))
(/.f32 #s(literal 1 binary32) (*.f32 u1 u1))
(pow.f32 (*.f32 u1 u1) #s(literal -1 binary32))
(pow.f32 u1 #s(literal -2 binary32))
#s(literal 1 binary32)
(*.f32 (fabs.f32 u1) (fabs.f32 u1))
(*.f32 (neg.f32 u1) (neg.f32 u1))
(*.f32 (*.f32 (sqrt.f32 u1) (sqrt.f32 u1)) (*.f32 (sqrt.f32 u1) (sqrt.f32 u1)))
(*.f32 u1 u1)
(pow.f32 u1 #s(literal 2 binary32))
(exp.f32 (*.f32 (log.f32 u1) #s(literal 2 binary32)))
(/.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 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (-.f32 #s(literal 1 binary32) u1))
(+.f32 #s(literal 1 binary32) u1)
(+.f32 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 u1)) (+ 1 u1)))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) u1)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (neg.f32 (sqrt.f32 u1)) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (sqrt.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 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 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))
(*.f32 (+.f32 #s(literal 1 binary32) u1) (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))
(*.f32 u1 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))
(/.f32 (neg.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) u1)) (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))
(/.f32 (neg.f32 u1) (neg.f32 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
(/.f32 (neg.f32 u1) (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))
(/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 u1) (*.f32 u1 u1))) (fma.f32 u1 u1 #s(literal 1 binary32)))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 u1 u1) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (fma.f32 (*.f32 u1 u1) (*.f32 u1 u1) (*.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
(-.f32 #s(literal 1 binary32) (*.f32 u1 u1))
(+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 u1) u1))
(*.f32 #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))) (sqrt.f32 (/.f32 u1 #s(approx (/ (- 1 (* u1 u1)) (+ 1 u1)) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))))
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (/ (- 1 (* u1 u1)) (+ 1 u1)) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #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))))
(sqrt.f32 (/.f32 u1 #s(approx (/ (- 1 (* u1 u1)) (+ 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 u1)) (+ 1 u1)) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1))))
(pow.f32 (/.f32 u1 #s(approx (/ (- 1 (* u1 u1)) (+ 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 u1)) (+ 1 u1)) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1))))
(/.f32 u1 #s(approx (/ (- 1 (* u1 u1)) (+ 1 u1)) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))
#s(approx (/ (- 1 (* u1 u1)) (+ 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(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))
(/.f32 (-.f32 (*.f32 (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #s(literal 1 binary32)) (-.f32 (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32))))
(/.f32 (+.f32 (pow.f32 (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 3 binary32)) #s(literal 1 binary32)) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))))
(/.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32))))))
(-.f32 #s(literal 1 binary32) (*.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)))
(fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))
(fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32))
(fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))
(+.f32 (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) #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)))
#s(literal -98696044010906577398881/5000000000000000000000 binary32)
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#s(approx (sqrt (/ u1 (/ (- 1 (* u1 u1)) (+ 1 u1)))) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) u1) (/.f32 #s(literal -1 binary32) u1))))
#s(approx (sqrt (/ u1 (/ (- 1 (* u1 u1)) (+ 1 u1)))) (fma.f32 (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)) (*.f32 (pow.f32 (/.f32 #s(literal -1 binary32) u1) #s(literal 3/2 binary32)) (*.f32 u1 u1))) #s(literal -1/2 binary32) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) u1) (/.f32 #s(literal -1 binary32) u1)))))
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#s(approx (sqrt u1) (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)) u1))
#s(approx (sqrt (- 1 u1)) (*.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) u1)) u1))
#s(approx (sqrt (- 1 u1)) (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) u1)) (*.f32 u1 u1))) (sqrt.f32 (/.f32 #s(literal -1 binary32) u1))) u1))
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#s(approx (* (sqrt (/ u1 (/ (- 1 (* u1 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))))
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#s(approx (sqrt (/ u1 (/ (- 1 (* u1 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))))
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#s(approx (/ (- 1 (* u1 u1)) (+ 1 u1)) (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) u1)))
#s(approx (/ u1 (- 1 (* u1 u1))) (neg.f32 (/.f32 (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 u1) (*.f32 u1 u1)))) u1)))
#s(approx (/ u1 (- 1 (* u1 u1))) (neg.f32 (/.f32 (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal 1 binary32)) (+.f32 (pow.f32 u1 #s(literal -6 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 u1) (*.f32 u1 u1))))) u1)))
#s(approx (sqrt u1) (neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)) u1)))
#s(approx (sqrt (- 1 u1)) (neg.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) u1)) u1)))
#s(approx (sqrt (- 1 u1)) (neg.f32 (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) u1)) (*.f32 u1 u1))) (sqrt.f32 (/.f32 #s(literal -1 binary32) u1))) u1)))
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#s(approx (* (sqrt (/ u1 (/ (- 1 (* u1 u1)) (+ 1 u1)))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
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#s(approx (* (sqrt (/ u1 (/ (- 1 (* u1 u1)) (+ 1 u1)))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 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 u1)) (+ 1 u1)))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (fma.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2))) (*.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 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32)))
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#s(approx (* 314159265359/50000000000 u2) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
#s(approx u2 u2)
#s(approx (* (sqrt (/ u1 (/ (- 1 (* u1 u1)) (+ 1 u1)))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (/ (- 1 (* u1 u1)) (+ 1 u1)))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (/ (- 1 (* u1 u1)) (+ 1 u1)))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 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 u1)) (+ 1 u1)))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (fma.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* u2 u2) (*.f32 u2 u2))
#s(approx (- (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (* u2 u2)) 98696044010906577398881/5000000000000000000000) #s(literal -98696044010906577398881/5000000000000000000000 binary32))
#s(approx (- (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (* u2 u2)) 98696044010906577398881/5000000000000000000000) (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)))
#s(approx (- (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (* u2 u2)) 98696044010906577398881/5000000000000000000000) (-.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)))
#s(approx (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (* u2 u2)) (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))
#s(approx (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (* u2 u2)) (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2))
#s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))
#s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))
#s(approx (* (sqrt (/ u1 (/ (- 1 (* u1 u1)) (+ 1 u1)))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (/ (- 1 (* u1 u1)) (+ 1 u1)))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (/ (- 1 (* u1 u1)) (+ 1 u1)))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 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 u1)) (+ 1 u1)))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (fma.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (/ (- 1 (* u1 u1)) (+ 1 u1)))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
#s(approx (cos (* 314159265359/50000000000 u2)) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (/ (- 1 (* u1 u1)) (+ 1 u1)))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
#s(approx (+ (* (* u2 u2) -98696044010906577398881/5000000000000000000000) 1) (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))
#s(approx (+ (* (* u2 u2) -98696044010906577398881/5000000000000000000000) 1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2)))
#s(approx (+ (* (- (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (* u2 u2)) 98696044010906577398881/5000000000000000000000) (* u2 u2)) 1) (*.f32 (pow.f32 u2 #s(literal 6 binary32)) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))
#s(approx (+ (* (- (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (* u2 u2)) 98696044010906577398881/5000000000000000000000) (* u2 u2)) 1) (*.f32 (-.f32 (/.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) (pow.f32 u2 #s(literal 6 binary32))))
#s(approx (+ (* (- (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (* u2 u2)) 98696044010906577398881/5000000000000000000000) (* u2 u2)) 1) (*.f32 (-.f32 (-.f32 (/.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) (/.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)))) (pow.f32 u2 #s(literal 6 binary32))))
#s(approx (+ (* (- (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (* u2 u2)) 98696044010906577398881/5000000000000000000000) (* u2 u2)) 1) (*.f32 (-.f32 (-.f32 (+.f32 (pow.f32 u2 #s(literal -6 binary32)) (/.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2))) #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) (/.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)))) (pow.f32 u2 #s(literal 6 binary32))))
#s(approx (- (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (* u2 u2)) 98696044010906577398881/5000000000000000000000) (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))
#s(approx (- (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (* u2 u2)) 98696044010906577398881/5000000000000000000000) (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) (-.f32 (/.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))
#s(approx (- (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (* u2 u2)) 98696044010906577398881/5000000000000000000000) (*.f32 (-.f32 (-.f32 (/.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) (/.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)))) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2))))
#s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))
#s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (*.f32 (-.f32 (/.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2)))
#s(approx (* (sqrt (/ u1 (/ (- 1 (* u1 u1)) (+ 1 u1)))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))

eval27.0ms (1%)

Memory
4.5MiB live, 55.5MiB allocated; 7ms collecting garbage
Compiler

Compiled 3 361 to 1 378 computations (59% saved)

prune44.0ms (1.5%)

Memory
-5.8MiB live, 86.7MiB allocated; 3ms collecting garbage
Pruning

54 alts after pruning (45 fresh and 9 done)

PrunedKeptTotal
New22421245
Fresh102434
Picked145
Done156
Total23654290
Accuracy
99.7%
Counts
290 → 54
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.6%
(/.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
✓98.6%
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
91.5%
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) 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))))
88.5%
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 #s(approx (/ (- 1 (* u1 u1)) (+ 1 u1)) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #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))))
87.6%
(*.f32 (/.f32 (sqrt.f32 u1) #s(approx (sqrt (- 1 u1)) (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.1%
(*.f32 (/.f32 #s(approx (sqrt u1) (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)) u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
93.6%
(*.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 (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))))
98.7%
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 #s(approx (- 1 (* u1 u1)) (*.f32 (/.f32 (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1))) #s(literal 1 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal 1 binary32))) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.5%
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 #s(approx (- 1 (* u1 u1)) (*.f32 (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal 1 binary32)) u1) u1)) (+.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓98.8%
(*.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))) (sin.f32 #s(approx (+ (* u2 314159265359/50000000000) (/ (PI) 2)) (fma.f32 (PI.f32) #s(literal 1/2 binary32) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
✓99.0%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
93.7%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (+.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2))) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
✓93.7%
(*.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))))
91.8%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) 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))))
93.7%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (-.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32))))
91.8%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32))))
88.9%
(*.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))))
80.5%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 #s(approx (- (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (* u2 u2)) 98696044010906577398881/5000000000000000000000) (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))) (*.f32 u2 u2) #s(literal 1 binary32))))
91.8%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 #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))))
93.8%
(*.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 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32))))))
91.8%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 #s(literal 1 binary32) #s(approx (* (neg (* u2 u2)) (- (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) 98696044010906577398881/5000000000000000000000)) (*.f32 (fma.f32 #s(literal -9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2))))))
91.8%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 #s(literal 1 binary32) #s(approx (* (neg (* u2 u2)) (- (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) 98696044010906577398881/5000000000000000000000)) (*.f32 (-.f32 (/.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)))))))
88.9%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 #s(literal 1 binary32) #s(approx (* (neg (* u2 u2)) (- (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) 98696044010906577398881/5000000000000000000000)) (*.f32 (*.f32 u2 u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32))))))
93.8%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (+.f32 (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) u2) u2) #s(literal 1 binary32))))
91.5%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(approx (- 1 (* (neg (* u2 u2)) (- (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) 98696044010906577398881/5000000000000000000000))) (*.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))))))
5.2%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(approx (- 1 (* (neg (* u2 u2)) (- (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) 98696044010906577398881/5000000000000000000000))) (*.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 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(approx (- 1 (* (neg (* u2 u2)) (- (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) 98696044010906577398881/5000000000000000000000))) (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))
6.6%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(approx (+ (* (- (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (* u2 u2)) 98696044010906577398881/5000000000000000000000) (* u2 u2)) 1) (*.f32 (pow.f32 u2 #s(literal 6 binary32)) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))
✓88.7%
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (/ (- 1 (* u1 u1)) (+ 1 u1)) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #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))))
88.6%
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (/ (- 1 (* u1 u1)) (+ 1 u1)) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))) #s(approx (cos (* 314159265359/50000000000 u2)) (/.f32 (-.f32 (*.f32 (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #s(literal 1 binary32)) (-.f32 (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))))
66.2%
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (/ (- 1 (* u1 u1)) (+ 1 u1)) (*.f32 #s(approx (- (/ 1 u1) 1) (/.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))))
98.7%
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.7%
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 #s(approx (- 1 (* u1 u1)) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal 1 binary32)) (*.f32 u1 u1)))) (+.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
72.2%
(*.f32 (sqrt.f32 #s(approx (/ u1 (/ (- 1 (* u1 u1)) (/ (- 1 (* u1 u1)) (- 1 u1)))) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
85.4%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1))) (sin.f32 (fma.f32 u2 #s(literal 314159265359/50000000000 binary32) (/.f32 (PI.f32) #s(literal 2 binary32)))))
✓85.5%
(*.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)))
81.7%
(*.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))))
77.5%
(*.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))))
85.4%
(*.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)))
92.0%
(*.f32 #s(approx (sqrt (/ u1 (/ (- 1 (* u1 u1)) (/ (- 1 (* u1 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))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
80.6%
#s(approx (* (sqrt (/ u1 (/ (- 1 (* u1 u1)) (/ (- 1 (* u1 u1)) (- 1 u1))))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 u1 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))
89.0%
#s(approx (* (sqrt (/ u1 (/ (- 1 (* u1 u1)) (+ 1 u1)))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
80.5%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
80.3%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) u1)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))
✓72.2%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sin.f32 (fma.f32 (PI.f32) #s(literal 1/2 binary32) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 u1)))
72.2%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sin.f32 (fma.f32 u2 #s(literal 314159265359/50000000000 binary32) (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (sqrt.f32 u1)))
62.4%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sin.f32 #s(approx (+ (* (PI) 1/2) (* u2 314159265359/50000000000)) (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (sqrt.f32 u1)))
80.6%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 #s(approx (* (+ 1 u1) u1) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) (*.f32 u1 u1))) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
✓80.7%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
80.5%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (/.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 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))
✓80.6%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))
77.0%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) #s(approx (/ u1 (- 1 (* u1 u1))) (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1)))))
72.0%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (* (sin (+ (* (PI) 1/2) (* u2 314159265359/50000000000))) (sqrt u1)) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)) (sin.f32 (fma.f32 (PI.f32) #s(literal 1/2 binary32) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))) u1)))
Compiler

Compiled 2 196 to 1 590 computations (27.6% saved)

regimes166.0ms (5.8%)

Memory
1.9MiB live, 286.4MiB allocated; 20ms collecting garbage
Counts
85 → 1
Calls
Call 1
Inputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) #s(approx (/ u1 (- 1 (* u1 u1))) (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
#s(approx (* (sqrt (/ u1 (/ (- 1 (* u1 u1)) (/ (- 1 (* u1 u1)) (- 1 u1))))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 u1 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 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))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) u1)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (fma.f32 u1 #s(literal 1 binary32) (*.f32 u1 u1)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
(*.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))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 #s(literal 1 binary32) #s(approx (* (neg (* u2 u2)) (- (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) 98696044010906577398881/5000000000000000000000)) (*.f32 (*.f32 u2 u2) #s(literal 98696044010906577398881/5000000000000000000000 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 (*.f32 u2 u2) (*.f32 u2 u2)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(approx (- 1 (* (neg (* u2 u2)) (- (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) 98696044010906577398881/5000000000000000000000))) (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (/ (- 1 (* u1 u1)) (+ 1 u1)) (*.f32 #s(approx (- (/ 1 u1) 1) (/.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 #s(approx (* (+ 1 u1) u1) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) (*.f32 u1 u1))) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (/ (- 1 (* u1 u1)) (+ 1 u1)) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #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 (*.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 u1)) (+ 1 u1)))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (/ (- 1 (* u1 u1)) (/ (- 1 (* u1 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)) (-.f32 #s(literal 1 binary32) #s(approx (* (neg (* u2 u2)) (- (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) 98696044010906577398881/5000000000000000000000)) (*.f32 (fma.f32 #s(literal -9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2))))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.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 (/.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))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) 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))))
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 #s(approx (/ (- 1 (* u1 u1)) (+ 1 u1)) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #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))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) 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 (/.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 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 98696044010906577398881/5000000000000000000000 binary32))))))
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) 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))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(approx (+ (* (- (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (* u2 u2)) 98696044010906577398881/5000000000000000000000) (* u2 u2)) 1) (*.f32 (pow.f32 u2 #s(literal 6 binary32)) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 #s(approx (- (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (* u2 u2)) 98696044010906577398881/5000000000000000000000) (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 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))))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(approx (- 1 (* (neg (* u2 u2)) (- (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) 98696044010906577398881/5000000000000000000000))) (*.f32 (-.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2))))))
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#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sin.f32 #s(approx (+ (* (PI) 1/2) (* u2 314159265359/50000000000)) (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (sqrt.f32 u1)))
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#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))
#s(approx (* (sqrt (/ u1 (/ (- 1 (* u1 u1)) (/ (- 1 (* u1 u1)) (- 1 u1))))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (sqrt.f32 (*.f32 u1 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))) (*.f32 u2 u2)) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (*.f32 u1 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))))
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#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sin.f32 (fma.f32 u2 #s(literal 314159265359/50000000000 binary32) (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (sqrt.f32 u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sin.f32 (fma.f32 (PI.f32) #s(literal 1/2 binary32) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 u1)))
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(*.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 (+.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))))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(approx (- 1 (* (neg (* u2 u2)) (- (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) 98696044010906577398881/5000000000000000000000))) (*.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))))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 #s(literal 1 binary32) (*.f32 u1 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 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (/.f32 (sqrt.f32 u1) #s(approx (sqrt (- 1 u1)) (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32)))) (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)))
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(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 #s(approx (+ (* u2 314159265359/50000000000) (/ (PI) 2)) (fma.f32 (PI.f32) #s(literal 1/2 binary32) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) 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))) #s(approx (* (sin (+ (* (PI) 1/2) (* u2 314159265359/50000000000))) (sqrt u1)) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)) (sin.f32 (fma.f32 (PI.f32) #s(literal 1/2 binary32) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))) u1)))
(*.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)))
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(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 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 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (/.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)))))
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(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 #s(approx (- 1 (* u1 u1)) (*.f32 (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal 1 binary32)) u1) u1)) (+.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 #s(approx (- 1 (* u1 u1)) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #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 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 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))))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 #s(approx (- 1 (* u1 u1)) (*.f32 (/.f32 (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1))) #s(literal 1 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal 1 binary32))) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 #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))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 #s(approx (sqrt (/ u1 (/ (- 1 (* u1 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))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 #s(approx (sqrt (/ u1 (/ (- 1 (* u1 u1)) (/ (- 1 (* u1 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))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (/.f32 (*.f32 (sin.f32 (fma.f32 (PI.f32) #s(literal 1/2 binary32) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (*.f32 u1 u1)) (sqrt.f32 u1)) #s(literal 1/2 binary32) (*.f32 (sin.f32 (fma.f32 (PI.f32) #s(literal 1/2 binary32) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 u1))))
Outputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Calls

8 calls:

22.0ms
u1
21.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
21.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
20.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
20.0ms
u2
Results
AccuracySegmentsBranch
99.0%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
99.0%1(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
99.0%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
99.0%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
99.0%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
99.0%1cosTheta_i
99.0%1u1
99.0%1u2
Compiler

Compiled 29 to 44 computations (-51.7% saved)

regimes106.0ms (3.7%)

Memory
7.4MiB live, 198.9MiB allocated; 14ms collecting garbage
Counts
52 → 2
Calls
Call 1
Inputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) #s(approx (/ u1 (- 1 (* u1 u1))) (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
#s(approx (* (sqrt (/ u1 (/ (- 1 (* u1 u1)) (/ (- 1 (* u1 u1)) (- 1 u1))))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 u1 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 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))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) u1)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (fma.f32 u1 #s(literal 1 binary32) (*.f32 u1 u1)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
(*.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))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 #s(literal 1 binary32) #s(approx (* (neg (* u2 u2)) (- (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) 98696044010906577398881/5000000000000000000000)) (*.f32 (*.f32 u2 u2) #s(literal 98696044010906577398881/5000000000000000000000 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 (*.f32 u2 u2) (*.f32 u2 u2)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(approx (- 1 (* (neg (* u2 u2)) (- (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) 98696044010906577398881/5000000000000000000000))) (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (/ (- 1 (* u1 u1)) (+ 1 u1)) (*.f32 #s(approx (- (/ 1 u1) 1) (/.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 #s(approx (* (+ 1 u1) u1) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) (*.f32 u1 u1))) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (/ (- 1 (* u1 u1)) (+ 1 u1)) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #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 (*.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 u1)) (+ 1 u1)))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (/ (- 1 (* u1 u1)) (/ (- 1 (* u1 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)) (-.f32 #s(literal 1 binary32) #s(approx (* (neg (* u2 u2)) (- (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) 98696044010906577398881/5000000000000000000000)) (*.f32 (fma.f32 #s(literal -9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2))))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.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 (/.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))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) 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))))
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 #s(approx (/ (- 1 (* u1 u1)) (+ 1 u1)) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #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))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) 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 (/.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 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 98696044010906577398881/5000000000000000000000 binary32))))))
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) 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))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(approx (+ (* (- (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (* u2 u2)) 98696044010906577398881/5000000000000000000000) (* u2 u2)) 1) (*.f32 (pow.f32 u2 #s(literal 6 binary32)) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 #s(approx (- (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (* u2 u2)) 98696044010906577398881/5000000000000000000000) (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 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))))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(approx (- 1 (* (neg (* u2 u2)) (- (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) 98696044010906577398881/5000000000000000000000))) (*.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 (/.f32 u1 (-.f32 #s(literal 1 binary32) 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 #s(literal 1 binary32) #s(approx (* (neg (* u2 u2)) (- (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) 98696044010906577398881/5000000000000000000000)) (*.f32 (-.f32 (/.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.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 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (-.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (+.f32 (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) u2) u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (*.f32 u2 u2)) (-.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (/.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 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 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 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sin.f32 #s(approx (+ (* (PI) 1/2) (* u2 314159265359/50000000000)) (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (sqrt.f32 u1)))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 #s(approx (/ u1 (/ (- 1 (* u1 u1)) (/ (- 1 (* u1 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 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 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 u2 u2) (sqrt.f32 (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))
#s(approx (* (sqrt (/ u1 (/ (- 1 (* u1 u1)) (/ (- 1 (* u1 u1)) (- 1 u1))))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (sqrt.f32 (*.f32 u1 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))) (*.f32 u2 u2)) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (*.f32 u1 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 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 (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 u2 #s(literal 314159265359/50000000000 binary32) (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (sqrt.f32 u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sin.f32 (fma.f32 (PI.f32) #s(literal 1/2 binary32) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 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)) (+.f32 (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) u2) u2) #s(literal 1 binary32))))
Calls

8 calls:

15.0ms
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
14.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
14.0ms
cosTheta_i
13.0ms
u2
12.0ms
u1
Results
AccuracySegmentsBranch
97.4%2(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
97.4%2(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
93.8%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
93.8%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
97.5%2(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
93.8%1cosTheta_i
93.8%1u1
97.4%2u2
Compiler

Compiled 29 to 44 computations (-51.7% saved)

regimes51.0ms (1.8%)

Memory
-3.8MiB live, 87.1MiB allocated; 4ms collecting garbage
Counts
51 → 1
Calls
Call 1
Inputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) #s(approx (/ u1 (- 1 (* u1 u1))) (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
#s(approx (* (sqrt (/ u1 (/ (- 1 (* u1 u1)) (/ (- 1 (* u1 u1)) (- 1 u1))))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 u1 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 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))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) u1)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (fma.f32 u1 #s(literal 1 binary32) (*.f32 u1 u1)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
(*.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))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 #s(literal 1 binary32) #s(approx (* (neg (* u2 u2)) (- (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) 98696044010906577398881/5000000000000000000000)) (*.f32 (*.f32 u2 u2) #s(literal 98696044010906577398881/5000000000000000000000 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 (*.f32 u2 u2) (*.f32 u2 u2)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(approx (- 1 (* (neg (* u2 u2)) (- (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) 98696044010906577398881/5000000000000000000000))) (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (/ (- 1 (* u1 u1)) (+ 1 u1)) (*.f32 #s(approx (- (/ 1 u1) 1) (/.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 #s(approx (* (+ 1 u1) u1) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) (*.f32 u1 u1))) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (/ (- 1 (* u1 u1)) (+ 1 u1)) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #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 (*.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 u1)) (+ 1 u1)))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (/ (- 1 (* u1 u1)) (/ (- 1 (* u1 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)) (-.f32 #s(literal 1 binary32) #s(approx (* (neg (* u2 u2)) (- (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) 98696044010906577398881/5000000000000000000000)) (*.f32 (fma.f32 #s(literal -9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2))))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.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 (/.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))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) 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))))
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 #s(approx (/ (- 1 (* u1 u1)) (+ 1 u1)) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #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))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) 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 (/.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 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 98696044010906577398881/5000000000000000000000 binary32))))))
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) 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))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(approx (+ (* (- (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (* u2 u2)) 98696044010906577398881/5000000000000000000000) (* u2 u2)) 1) (*.f32 (pow.f32 u2 #s(literal 6 binary32)) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 #s(approx (- (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (* u2 u2)) 98696044010906577398881/5000000000000000000000) (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 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))))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(approx (- 1 (* (neg (* u2 u2)) (- (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) 98696044010906577398881/5000000000000000000000))) (*.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 (/.f32 u1 (-.f32 #s(literal 1 binary32) 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 #s(literal 1 binary32) #s(approx (* (neg (* u2 u2)) (- (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) 98696044010906577398881/5000000000000000000000)) (*.f32 (-.f32 (/.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.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 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (-.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (+.f32 (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) u2) u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (*.f32 u2 u2)) (-.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (/.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 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 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 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sin.f32 #s(approx (+ (* (PI) 1/2) (* u2 314159265359/50000000000)) (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (sqrt.f32 u1)))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 #s(approx (/ u1 (/ (- 1 (* u1 u1)) (/ (- 1 (* u1 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 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 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 u2 u2) (sqrt.f32 (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))
#s(approx (* (sqrt (/ u1 (/ (- 1 (* u1 u1)) (/ (- 1 (* u1 u1)) (- 1 u1))))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (sqrt.f32 (*.f32 u1 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))) (*.f32 u2 u2)) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (*.f32 u1 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 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 (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 u2 #s(literal 314159265359/50000000000 binary32) (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (sqrt.f32 u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sin.f32 (fma.f32 (PI.f32) #s(literal 1/2 binary32) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 u1)))
Outputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (+.f32 (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) u2) u2) #s(literal 1 binary32))))
Calls

4 calls:

13.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
13.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
11.0ms
u2
11.0ms
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
Results
AccuracySegmentsBranch
93.8%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
93.8%1u2
93.8%1(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
93.8%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Compiler

Compiled 18 to 25 computations (-38.9% saved)

regimes79.0ms (2.8%)

Memory
-14.1MiB live, 128.1MiB allocated; 8ms collecting garbage
Counts
38 → 1
Calls
Call 1
Inputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) #s(approx (/ u1 (- 1 (* u1 u1))) (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
#s(approx (* (sqrt (/ u1 (/ (- 1 (* u1 u1)) (/ (- 1 (* u1 u1)) (- 1 u1))))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 u1 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 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))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) u1)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (fma.f32 u1 #s(literal 1 binary32) (*.f32 u1 u1)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
(*.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))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 #s(literal 1 binary32) #s(approx (* (neg (* u2 u2)) (- (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) 98696044010906577398881/5000000000000000000000)) (*.f32 (*.f32 u2 u2) #s(literal 98696044010906577398881/5000000000000000000000 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 (*.f32 u2 u2) (*.f32 u2 u2)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(approx (- 1 (* (neg (* u2 u2)) (- (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) 98696044010906577398881/5000000000000000000000))) (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (/ (- 1 (* u1 u1)) (+ 1 u1)) (*.f32 #s(approx (- (/ 1 u1) 1) (/.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 #s(approx (* (+ 1 u1) u1) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) (*.f32 u1 u1))) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (/ (- 1 (* u1 u1)) (+ 1 u1)) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #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 (*.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 u1)) (+ 1 u1)))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (/ (- 1 (* u1 u1)) (/ (- 1 (* u1 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)) (-.f32 #s(literal 1 binary32) #s(approx (* (neg (* u2 u2)) (- (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) 98696044010906577398881/5000000000000000000000)) (*.f32 (fma.f32 #s(literal -9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2))))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.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 (/.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))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) 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))))
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 #s(approx (/ (- 1 (* u1 u1)) (+ 1 u1)) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #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))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) 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 (/.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 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 98696044010906577398881/5000000000000000000000 binary32))))))
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) 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))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(approx (+ (* (- (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (* u2 u2)) 98696044010906577398881/5000000000000000000000) (* u2 u2)) 1) (*.f32 (pow.f32 u2 #s(literal 6 binary32)) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 #s(approx (- (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (* u2 u2)) 98696044010906577398881/5000000000000000000000) (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 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))))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(approx (- 1 (* (neg (* u2 u2)) (- (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) 98696044010906577398881/5000000000000000000000))) (*.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 (/.f32 u1 (-.f32 #s(literal 1 binary32) 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 #s(literal 1 binary32) #s(approx (* (neg (* u2 u2)) (- (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) 98696044010906577398881/5000000000000000000000)) (*.f32 (-.f32 (/.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.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 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (-.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.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))))
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

8 calls:

12.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
10.0ms
u1
10.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
9.0ms
cosTheta_i
9.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Results
AccuracySegmentsBranch
93.7%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
93.7%1u2
93.7%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
93.7%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
93.7%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
93.7%1cosTheta_i
93.7%1u1
93.7%1(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
Compiler

Compiled 29 to 44 computations (-51.7% saved)

regimes75.0ms (2.6%)

Memory
36.4MiB live, 127.3MiB allocated; 4ms collecting garbage
Counts
37 → 1
Calls
Call 1
Inputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) #s(approx (/ u1 (- 1 (* u1 u1))) (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
#s(approx (* (sqrt (/ u1 (/ (- 1 (* u1 u1)) (/ (- 1 (* u1 u1)) (- 1 u1))))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 u1 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 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))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) u1)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (fma.f32 u1 #s(literal 1 binary32) (*.f32 u1 u1)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
(*.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))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 #s(literal 1 binary32) #s(approx (* (neg (* u2 u2)) (- (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) 98696044010906577398881/5000000000000000000000)) (*.f32 (*.f32 u2 u2) #s(literal 98696044010906577398881/5000000000000000000000 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 (*.f32 u2 u2) (*.f32 u2 u2)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(approx (- 1 (* (neg (* u2 u2)) (- (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) 98696044010906577398881/5000000000000000000000))) (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (/ (- 1 (* u1 u1)) (+ 1 u1)) (*.f32 #s(approx (- (/ 1 u1) 1) (/.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 #s(approx (* (+ 1 u1) u1) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) (*.f32 u1 u1))) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (/ (- 1 (* u1 u1)) (+ 1 u1)) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #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 (*.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 u1)) (+ 1 u1)))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (/ (- 1 (* u1 u1)) (/ (- 1 (* u1 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)) (-.f32 #s(literal 1 binary32) #s(approx (* (neg (* u2 u2)) (- (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) 98696044010906577398881/5000000000000000000000)) (*.f32 (fma.f32 #s(literal -9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2))))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.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 (/.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))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) 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))))
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 #s(approx (/ (- 1 (* u1 u1)) (+ 1 u1)) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #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))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) 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 (/.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 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 98696044010906577398881/5000000000000000000000 binary32))))))
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) 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))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(approx (+ (* (- (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (* u2 u2)) 98696044010906577398881/5000000000000000000000) (* u2 u2)) 1) (*.f32 (pow.f32 u2 #s(literal 6 binary32)) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 #s(approx (- (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (* u2 u2)) 98696044010906577398881/5000000000000000000000) (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 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))))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(approx (- 1 (* (neg (* u2 u2)) (- (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) 98696044010906577398881/5000000000000000000000))) (*.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 (/.f32 u1 (-.f32 #s(literal 1 binary32) 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 #s(literal 1 binary32) #s(approx (* (neg (* u2 u2)) (- (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) 98696044010906577398881/5000000000000000000000)) (*.f32 (-.f32 (/.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.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 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (-.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32))))
Outputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (-.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32))))
Calls

8 calls:

10.0ms
u1
10.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
9.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
9.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
9.0ms
cosTheta_i
Results
AccuracySegmentsBranch
93.7%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
93.7%1u2
93.7%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
93.7%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
93.7%1cosTheta_i
93.7%1u1
93.7%1(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
93.7%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Compiler

Compiled 29 to 44 computations (-51.7% saved)

regimes75.0ms (2.6%)

Memory
-10.6MiB live, 131.2MiB allocated; 8ms collecting garbage
Counts
36 → 1
Calls
Call 1
Inputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) #s(approx (/ u1 (- 1 (* u1 u1))) (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
#s(approx (* (sqrt (/ u1 (/ (- 1 (* u1 u1)) (/ (- 1 (* u1 u1)) (- 1 u1))))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 u1 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 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))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) u1)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (fma.f32 u1 #s(literal 1 binary32) (*.f32 u1 u1)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
(*.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))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 #s(literal 1 binary32) #s(approx (* (neg (* u2 u2)) (- (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) 98696044010906577398881/5000000000000000000000)) (*.f32 (*.f32 u2 u2) #s(literal 98696044010906577398881/5000000000000000000000 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 (*.f32 u2 u2) (*.f32 u2 u2)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(approx (- 1 (* (neg (* u2 u2)) (- (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) 98696044010906577398881/5000000000000000000000))) (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (/ (- 1 (* u1 u1)) (+ 1 u1)) (*.f32 #s(approx (- (/ 1 u1) 1) (/.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 #s(approx (* (+ 1 u1) u1) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) (*.f32 u1 u1))) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (/ (- 1 (* u1 u1)) (+ 1 u1)) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #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 (*.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 u1)) (+ 1 u1)))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (/ (- 1 (* u1 u1)) (/ (- 1 (* u1 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)) (-.f32 #s(literal 1 binary32) #s(approx (* (neg (* u2 u2)) (- (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) 98696044010906577398881/5000000000000000000000)) (*.f32 (fma.f32 #s(literal -9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2))))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.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 (/.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))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) 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))))
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 #s(approx (/ (- 1 (* u1 u1)) (+ 1 u1)) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #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))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) 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 (/.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 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 98696044010906577398881/5000000000000000000000 binary32))))))
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) 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))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(approx (+ (* (- (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (* u2 u2)) 98696044010906577398881/5000000000000000000000) (* u2 u2)) 1) (*.f32 (pow.f32 u2 #s(literal 6 binary32)) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 #s(approx (- (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (* u2 u2)) 98696044010906577398881/5000000000000000000000) (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 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))))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(approx (- 1 (* (neg (* u2 u2)) (- (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) 98696044010906577398881/5000000000000000000000))) (*.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 (/.f32 u1 (-.f32 #s(literal 1 binary32) 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 #s(literal 1 binary32) #s(approx (* (neg (* u2 u2)) (- (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) 98696044010906577398881/5000000000000000000000)) (*.f32 (-.f32 (/.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.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 (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))))
Outputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 #s(literal 1 binary32) #s(approx (* (neg (* u2 u2)) (- (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) 98696044010906577398881/5000000000000000000000)) (*.f32 (-.f32 (/.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)))))))
Calls

8 calls:

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

Compiled 29 to 44 computations (-51.7% saved)

regimes71.0ms (2.5%)

Memory
-8.3MiB live, 132.7MiB allocated; 8ms collecting garbage
Counts
34 → 1
Calls
Call 1
Inputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) #s(approx (/ u1 (- 1 (* u1 u1))) (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
#s(approx (* (sqrt (/ u1 (/ (- 1 (* u1 u1)) (/ (- 1 (* u1 u1)) (- 1 u1))))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 u1 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 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))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) u1)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (fma.f32 u1 #s(literal 1 binary32) (*.f32 u1 u1)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
(*.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))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 #s(literal 1 binary32) #s(approx (* (neg (* u2 u2)) (- (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) 98696044010906577398881/5000000000000000000000)) (*.f32 (*.f32 u2 u2) #s(literal 98696044010906577398881/5000000000000000000000 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 (*.f32 u2 u2) (*.f32 u2 u2)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(approx (- 1 (* (neg (* u2 u2)) (- (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) 98696044010906577398881/5000000000000000000000))) (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (/ (- 1 (* u1 u1)) (+ 1 u1)) (*.f32 #s(approx (- (/ 1 u1) 1) (/.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 #s(approx (* (+ 1 u1) u1) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) (*.f32 u1 u1))) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (/ (- 1 (* u1 u1)) (+ 1 u1)) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #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 (*.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 u1)) (+ 1 u1)))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (/ (- 1 (* u1 u1)) (/ (- 1 (* u1 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)) (-.f32 #s(literal 1 binary32) #s(approx (* (neg (* u2 u2)) (- (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) 98696044010906577398881/5000000000000000000000)) (*.f32 (fma.f32 #s(literal -9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2))))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.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 (/.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))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) 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))))
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 #s(approx (/ (- 1 (* u1 u1)) (+ 1 u1)) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #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))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) 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 (/.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 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 98696044010906577398881/5000000000000000000000 binary32))))))
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) 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))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(approx (+ (* (- (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (* u2 u2)) 98696044010906577398881/5000000000000000000000) (* u2 u2)) 1) (*.f32 (pow.f32 u2 #s(literal 6 binary32)) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 #s(approx (- (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (* u2 u2)) 98696044010906577398881/5000000000000000000000) (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 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))))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(approx (- 1 (* (neg (* u2 u2)) (- (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) 98696044010906577398881/5000000000000000000000))) (*.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 (/.f32 u1 (-.f32 #s(literal 1 binary32) 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 #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))))
Calls

8 calls:

11.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
9.0ms
u2
9.0ms
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
8.0ms
cosTheta_i
8.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Results
AccuracySegmentsBranch
91.8%1(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
91.8%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
91.8%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
91.8%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
91.8%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
91.8%1u1
91.8%1u2
91.8%1cosTheta_i
Compiler

Compiled 29 to 44 computations (-51.7% saved)

regimes67.0ms (2.3%)

Memory
31.6MiB live, 120.1MiB allocated; 5ms collecting garbage
Counts
33 → 1
Calls
Call 1
Inputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) #s(approx (/ u1 (- 1 (* u1 u1))) (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
#s(approx (* (sqrt (/ u1 (/ (- 1 (* u1 u1)) (/ (- 1 (* u1 u1)) (- 1 u1))))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 u1 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 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))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) u1)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (fma.f32 u1 #s(literal 1 binary32) (*.f32 u1 u1)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
(*.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))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 #s(literal 1 binary32) #s(approx (* (neg (* u2 u2)) (- (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) 98696044010906577398881/5000000000000000000000)) (*.f32 (*.f32 u2 u2) #s(literal 98696044010906577398881/5000000000000000000000 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 (*.f32 u2 u2) (*.f32 u2 u2)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(approx (- 1 (* (neg (* u2 u2)) (- (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) 98696044010906577398881/5000000000000000000000))) (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (/ (- 1 (* u1 u1)) (+ 1 u1)) (*.f32 #s(approx (- (/ 1 u1) 1) (/.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 #s(approx (* (+ 1 u1) u1) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) (*.f32 u1 u1))) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (/ (- 1 (* u1 u1)) (+ 1 u1)) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #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 (*.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 u1)) (+ 1 u1)))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (/ (- 1 (* u1 u1)) (/ (- 1 (* u1 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)) (-.f32 #s(literal 1 binary32) #s(approx (* (neg (* u2 u2)) (- (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) 98696044010906577398881/5000000000000000000000)) (*.f32 (fma.f32 #s(literal -9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2))))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.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 (/.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))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) 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))))
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 #s(approx (/ (- 1 (* u1 u1)) (+ 1 u1)) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #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))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) 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 (/.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 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 98696044010906577398881/5000000000000000000000 binary32))))))
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) 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))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(approx (+ (* (- (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (* u2 u2)) 98696044010906577398881/5000000000000000000000) (* u2 u2)) 1) (*.f32 (pow.f32 u2 #s(literal 6 binary32)) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 #s(approx (- (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (* u2 u2)) 98696044010906577398881/5000000000000000000000) (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 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))))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(approx (- 1 (* (neg (* u2 u2)) (- (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) 98696044010906577398881/5000000000000000000000))) (*.f32 (-.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2))))))
Outputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 #s(literal 1 binary32) #s(approx (* (neg (* u2 u2)) (- (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) 98696044010906577398881/5000000000000000000000)) (*.f32 (fma.f32 #s(literal -9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2))))))
Calls

8 calls:

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

Compiled 29 to 44 computations (-51.7% saved)

regimes60.0ms (2.1%)

Memory
-18.1MiB live, 83.3MiB allocated; 36ms collecting garbage
Counts
20 → 1
Calls
Call 1
Inputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) #s(approx (/ u1 (- 1 (* u1 u1))) (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
#s(approx (* (sqrt (/ u1 (/ (- 1 (* u1 u1)) (/ (- 1 (* u1 u1)) (- 1 u1))))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 u1 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 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))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) u1)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (fma.f32 u1 #s(literal 1 binary32) (*.f32 u1 u1)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
(*.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))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 #s(literal 1 binary32) #s(approx (* (neg (* u2 u2)) (- (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) 98696044010906577398881/5000000000000000000000)) (*.f32 (*.f32 u2 u2) #s(literal 98696044010906577398881/5000000000000000000000 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 (*.f32 u2 u2) (*.f32 u2 u2)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(approx (- 1 (* (neg (* u2 u2)) (- (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) 98696044010906577398881/5000000000000000000000))) (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (/ (- 1 (* u1 u1)) (+ 1 u1)) (*.f32 #s(approx (- (/ 1 u1) 1) (/.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 #s(approx (* (+ 1 u1) u1) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) (*.f32 u1 u1))) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (/ (- 1 (* u1 u1)) (+ 1 u1)) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #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 (*.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 u1)) (+ 1 u1)))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (/ (- 1 (* u1 u1)) (/ (- 1 (* u1 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 u1)) (+ 1 u1)))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
Calls

8 calls:

22.0ms
u2
6.0ms
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
5.0ms
u1
5.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
5.0ms
cosTheta_i
Results
AccuracySegmentsBranch
89.0%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
89.0%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
89.0%1(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
89.0%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
89.0%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
89.0%1u1
89.0%1u2
89.0%1cosTheta_i
Compiler

Compiled 29 to 44 computations (-51.7% saved)

regimes41.0ms (1.4%)

Memory
-9.0MiB live, 79.7MiB allocated; 5ms collecting garbage
Counts
18 → 1
Calls
Call 1
Inputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) #s(approx (/ u1 (- 1 (* u1 u1))) (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
#s(approx (* (sqrt (/ u1 (/ (- 1 (* u1 u1)) (/ (- 1 (* u1 u1)) (- 1 u1))))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 u1 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 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))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) u1)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (fma.f32 u1 #s(literal 1 binary32) (*.f32 u1 u1)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
(*.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))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 #s(literal 1 binary32) #s(approx (* (neg (* u2 u2)) (- (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) 98696044010906577398881/5000000000000000000000)) (*.f32 (*.f32 u2 u2) #s(literal 98696044010906577398881/5000000000000000000000 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 (*.f32 u2 u2) (*.f32 u2 u2)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(approx (- 1 (* (neg (* u2 u2)) (- (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) 98696044010906577398881/5000000000000000000000))) (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (/ (- 1 (* u1 u1)) (+ 1 u1)) (*.f32 #s(approx (- (/ 1 u1) 1) (/.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 #s(approx (* (+ 1 u1) u1) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) (*.f32 u1 u1))) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (/ (- 1 (* u1 u1)) (+ 1 u1)) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #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 (*.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 (*.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)))))
Calls

8 calls:

6.0ms
u1
6.0ms
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
5.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
5.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
5.0ms
cosTheta_i
Results
AccuracySegmentsBranch
89.0%1(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
89.0%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
89.0%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
89.0%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
89.0%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
89.0%1u1
89.0%1u2
89.0%1cosTheta_i
Compiler

Compiled 29 to 44 computations (-51.7% saved)

regimes39.0ms (1.4%)

Memory
21.3MiB live, 72.4MiB allocated; 4ms collecting garbage
Counts
17 → 1
Calls
Call 1
Inputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) #s(approx (/ u1 (- 1 (* u1 u1))) (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
#s(approx (* (sqrt (/ u1 (/ (- 1 (* u1 u1)) (/ (- 1 (* u1 u1)) (- 1 u1))))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 u1 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 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))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) u1)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (fma.f32 u1 #s(literal 1 binary32) (*.f32 u1 u1)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
(*.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))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 #s(literal 1 binary32) #s(approx (* (neg (* u2 u2)) (- (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) 98696044010906577398881/5000000000000000000000)) (*.f32 (*.f32 u2 u2) #s(literal 98696044010906577398881/5000000000000000000000 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 (*.f32 u2 u2) (*.f32 u2 u2)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(approx (- 1 (* (neg (* u2 u2)) (- (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) 98696044010906577398881/5000000000000000000000))) (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (/ (- 1 (* u1 u1)) (+ 1 u1)) (*.f32 #s(approx (- (/ 1 u1) 1) (/.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 #s(approx (* (+ 1 u1) u1) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) (*.f32 u1 u1))) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (/ (- 1 (* u1 u1)) (+ 1 u1)) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #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))))
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:

7.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
5.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
4.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
4.0ms
cosTheta_i
4.0ms
u1
Results
AccuracySegmentsBranch
88.9%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
88.9%1(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
88.9%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
88.9%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
88.9%1cosTheta_i
88.9%1u1
88.9%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
88.9%1u2
Compiler

Compiled 29 to 44 computations (-51.7% saved)

regimes25.0ms (0.9%)

Memory
14.5MiB live, 59.2MiB allocated; 2ms collecting garbage
Counts
10 → 2
Calls
Call 1
Inputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) #s(approx (/ u1 (- 1 (* u1 u1))) (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
#s(approx (* (sqrt (/ u1 (/ (- 1 (* u1 u1)) (/ (- 1 (* u1 u1)) (- 1 u1))))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 u1 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 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))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) u1)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (fma.f32 u1 #s(literal 1 binary32) (*.f32 u1 u1)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
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 (fma.f32 u1 #s(literal 1 binary32) (*.f32 u1 u1)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
Calls

8 calls:

4.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
3.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
3.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
3.0ms
cosTheta_i
3.0ms
u1
Results
AccuracySegmentsBranch
85.4%2(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
86.0%2(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
80.7%1cosTheta_i
85.4%2(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
85.5%2(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
85.5%2(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
85.5%2u1
85.4%2u2
Compiler

Compiled 29 to 44 computations (-51.7% saved)

regimes6.0ms (0.2%)

Memory
-36.5MiB live, 9.1MiB allocated; 4ms collecting garbage
Counts
9 → 2
Calls
Call 1
Inputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) #s(approx (/ u1 (- 1 (* u1 u1))) (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
#s(approx (* (sqrt (/ u1 (/ (- 1 (* u1 u1)) (/ (- 1 (* u1 u1)) (- 1 u1))))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 u1 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 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))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) u1)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
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

1 calls:

5.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Results
AccuracySegmentsBranch
85.9%2(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Compiler

Compiled 10 to 11 computations (-10% saved)

regimes20.0ms (0.7%)

Memory
10.4MiB live, 56.9MiB allocated; 3ms collecting garbage
Accuracy

Total -1.3b remaining (-21.5%)

Threshold costs -1.3b (-21.5%)

Counts
6 → 1
Calls
Call 1
Inputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) #s(approx (/ u1 (- 1 (* u1 u1))) (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
#s(approx (* (sqrt (/ u1 (/ (- 1 (* u1 u1)) (/ (- 1 (* u1 u1)) (- 1 u1))))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 u1 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))
Outputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
Calls

8 calls:

5.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
2.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
2.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
2.0ms
u1
2.0ms
cosTheta_i
Results
AccuracySegmentsBranch
80.7%1cosTheta_i
80.7%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
80.7%1u2
80.7%1(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
80.7%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
80.7%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
80.7%1u1
80.7%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Compiler

Compiled 29 to 44 computations (-51.7% saved)

bsearch1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated; 0ms collecting garbage
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.01801001839339733
0.018440311774611473
Compiler

Compiled 13 to 17 computations (-30.8% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.03667106479406357
0.03709784895181656
Compiler

Compiled 13 to 17 computations (-30.8% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.03667106479406357
0.03709784895181656
Compiler

Compiled 13 to 17 computations (-30.8% saved)

derivations118.0ms (4.1%)

Memory
4.8MiB live, 190.0MiB allocated; 20ms collecting garbage
Stop Event
1×fuel
Compiler

Compiled 188 to 108 computations (42.6% saved)

preprocess120.0ms (4.2%)

Memory
6.6MiB live, 340.1MiB allocated; 44ms collecting garbage
Remove

(abs u2)

(abs cosTheta_i)

Compiler

Compiled 1 594 to 1 463 computations (8.2% saved)

end0.0ms (0%)

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

Profiling

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