Trowbridge-Reitz Sample, sample surface normal, cosTheta

Time bar (total: 22.6s)

analyze1.3s (5.7%)

Memory
9.9MiB live, 2 001.7MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%0%100%0%0%0%0
0%0%0%100%0%0%0%1
0%0%0%100%0%0%0%2
0%0%0%100%0%0%0%3
0%0%0%100%0%0%0%4
0%0%0%100%0%0%0%5
0%0%0%100%0%0%0%6
6.2%0%0%100%0%0%0%7
9.4%0%0%100%0%0%0%8
14.1%0%0%100%0%0%0%9
21.1%0%0%100%0%0%0%10
31.6%0%0%100%0%0%0%11
36.9%0%0%100%0%0%0%12
Compiler

Compiled 120 to 50 computations (58.3% saved)

sample4.1s (18.1%)

Memory
49.5MiB live, 6 982.7MiB allocated
Samples
3.5s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 3.2s
ival-mult: 585.0ms (18.5% of total)
ival-<=: 466.0ms (14.8% of total)
ival-div: 398.0ms (12.6% of total)
ival-tan: 335.0ms (10.6% of total)
const: 307.0ms (9.7% of total)
ival-cos: 284.0ms (9% of total)
ival-sin: 282.0ms (8.9% of total)
ival-add: 132.0ms (4.2% of total)
ival-atan: 121.0ms (3.8% of total)
ival-sqrt: 88.0ms (2.8% of total)
ival-sub: 59.0ms (1.9% of total)
ival-pi: 43.0ms (1.4% of total)
ival-and: 41.0ms (1.3% of total)
exact: 13.0ms (0.4% of total)
ival-assert: 3.0ms (0.1% of total)
Bogosity

preprocess302.0ms (1.3%)

Memory
-25.5MiB live, 455.1MiB allocated
Algorithm
egg-herbie
Rules
9 836×accelerator-lowering-fma.f32
9 836×accelerator-lowering-fma.f64
3 312×*-lowering-*.f32
3 312×*-lowering-*.f64
1 908×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02071348
14991308
210331186
332941186
463891186
03288
16486
210278
315178
424378
569878
6221378
7417478
8615078
0817473
Stop Event
iter limit
node limit
node limit
Calls
Call 1
Inputs
(/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)))))
Outputs
(/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (*.f32 (fma.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) (/.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) (*.f32 alphay alphay))) (-.f32 #s(literal 1 binary32) u0))))))
Call 2
Inputs
(/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)))))
(/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) (neg u0)) (- 1 (neg u0))))))
(/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) (neg u1)) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) (neg u1)) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) (neg u1)) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) (neg u1)) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)))))
(/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay (neg alphax)) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay (neg alphax)) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* (neg alphax) (neg alphax))) (/ (* (sin (atan (* (/ alphay (neg alphax)) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay (neg alphax)) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)))))
(/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ (neg alphay) alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ (neg alphay) alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ (neg alphay) alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ (neg alphay) alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* (neg alphay) (neg alphay))))) u0) (- 1 u0)))))
(neg (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) (neg u0)) (- 1 (neg u0)))))))
(neg (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) (neg u1)) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) (neg u1)) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) (neg u1)) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) (neg u1)) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))))
(neg (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay (neg alphax)) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay (neg alphax)) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* (neg alphax) (neg alphax))) (/ (* (sin (atan (* (/ alphay (neg alphax)) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay (neg alphax)) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))))
(neg (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ (neg alphay) alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ (neg alphay) alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ (neg alphay) alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ (neg alphay) alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* (neg alphay) (neg alphay))))) u0) (- 1 u0))))))
(/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u0) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u0) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u0) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u0) (* 1/2 (PI)))))))) (* alphay alphay)))) u1) (- 1 u1)))))
(/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay u0) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay u0) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* u0 u0)) (/ (* (sin (atan (* (/ alphay u0) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay u0) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) alphax) (- 1 alphax)))))
(/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ u0 alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ u0 alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ u0 alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ u0 alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* u0 u0)))) alphay) (- 1 alphay)))))
(/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay u1) (tan (+ (* (* 2 (PI)) alphax) (* 1/2 (PI))))))) (cos (atan (* (/ alphay u1) (tan (+ (* (* 2 (PI)) alphax) (* 1/2 (PI)))))))) (* u1 u1)) (/ (* (sin (atan (* (/ alphay u1) (tan (+ (* (* 2 (PI)) alphax) (* 1/2 (PI))))))) (sin (atan (* (/ alphay u1) (tan (+ (* (* 2 (PI)) alphax) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)))))
(/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ u1 alphax) (tan (+ (* (* 2 (PI)) alphay) (* 1/2 (PI))))))) (cos (atan (* (/ u1 alphax) (tan (+ (* (* 2 (PI)) alphay) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ u1 alphax) (tan (+ (* (* 2 (PI)) alphay) (* 1/2 (PI))))))) (sin (atan (* (/ u1 alphax) (tan (+ (* (* 2 (PI)) alphay) (* 1/2 (PI)))))))) (* u1 u1)))) u0) (- 1 u0)))))
(/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphax alphay) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphax alphay) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)) (/ (* (sin (atan (* (/ alphax alphay) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphax alphay) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)))) u0) (- 1 u0)))))
Outputs
(/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)))))
(/ 1 (sqrt (+ 1 (/ (/ u0 (- 1 u0)) (+ (* (cos (atan (* (/ alphay alphax) (tan (* (PI) (+ 1/2 (* 2 u1))))))) (/ (cos (atan (* (/ alphay alphax) (tan (* (PI) (+ 1/2 (* 2 u1))))))) (* alphax alphax))) (* (sin (atan (* (/ alphay alphax) (tan (* (PI) (+ 1/2 (* 2 u1))))))) (/ (sin (atan (* (/ alphay alphax) (tan (* (PI) (+ 1/2 (* 2 u1))))))) (* alphay alphay))))))))
(/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) (neg u0)) (- 1 (neg u0))))))
(/ 1 (sqrt (+ 1 (/ (/ u0 (- -1 u0)) (+ (* (cos (atan (* (/ alphay alphax) (tan (* (PI) (+ 1/2 (* 2 u1))))))) (/ (cos (atan (* (/ alphay alphax) (tan (* (PI) (+ 1/2 (* 2 u1))))))) (* alphax alphax))) (* (sin (atan (* (/ alphay alphax) (tan (* (PI) (+ 1/2 (* 2 u1))))))) (/ (sin (atan (* (/ alphay alphax) (tan (* (PI) (+ 1/2 (* 2 u1))))))) (* alphay alphay))))))))
(/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) (neg u1)) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) (neg u1)) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) (neg u1)) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) (neg u1)) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)))))
(/ 1 (sqrt (+ 1 (/ (/ u0 (- 1 u0)) (+ (* (cos (atan (* (/ alphay alphax) (tan (* (PI) (+ 1/2 (* u1 -2))))))) (/ (cos (atan (* (/ alphay alphax) (tan (* (PI) (+ 1/2 (* u1 -2))))))) (* alphax alphax))) (* (sin (atan (* (/ alphay alphax) (tan (* (PI) (+ 1/2 (* u1 -2))))))) (/ (sin (atan (* (/ alphay alphax) (tan (* (PI) (+ 1/2 (* u1 -2))))))) (* alphay alphay))))))))
(/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay (neg alphax)) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay (neg alphax)) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* (neg alphax) (neg alphax))) (/ (* (sin (atan (* (/ alphay (neg alphax)) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay (neg alphax)) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)))))
(/ 1 (sqrt (+ 1 (/ (/ u0 (- 1 u0)) (+ (* (sin (atan (* (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphay (neg alphax))))) (/ (sin (atan (* (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphay (neg alphax))))) (* alphay alphay))) (* (cos (atan (* (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphay (neg alphax))))) (/ (cos (atan (* (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphay (neg alphax))))) (* alphax alphax))))))))
(/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ (neg alphay) alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ (neg alphay) alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ (neg alphay) alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ (neg alphay) alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* (neg alphay) (neg alphay))))) u0) (- 1 u0)))))
(/ 1 (sqrt (+ 1 (/ (/ u0 (- 1 u0)) (+ (* (sin (atan (* (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphay (neg alphax))))) (/ (sin (atan (* (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphay (neg alphax))))) (* alphay alphay))) (* (cos (atan (* (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphay (neg alphax))))) (/ (cos (atan (* (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphay (neg alphax))))) (* alphax alphax))))))))
(neg (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) (neg u0)) (- 1 (neg u0)))))))
(/ -1 (sqrt (+ 1 (/ (/ u0 (- -1 u0)) (+ (* (cos (atan (* (/ alphay alphax) (tan (* (PI) (+ 1/2 (* 2 u1))))))) (/ (cos (atan (* (/ alphay alphax) (tan (* (PI) (+ 1/2 (* 2 u1))))))) (* alphax alphax))) (* (sin (atan (* (/ alphay alphax) (tan (* (PI) (+ 1/2 (* 2 u1))))))) (/ (sin (atan (* (/ alphay alphax) (tan (* (PI) (+ 1/2 (* 2 u1))))))) (* alphay alphay))))))))
(neg (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) (neg u1)) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) (neg u1)) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) (neg u1)) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) (neg u1)) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))))
(/ -1 (sqrt (+ 1 (/ (/ u0 (- 1 u0)) (+ (* (cos (atan (* (/ alphay alphax) (tan (* (PI) (+ 1/2 (* u1 -2))))))) (/ (cos (atan (* (/ alphay alphax) (tan (* (PI) (+ 1/2 (* u1 -2))))))) (* alphax alphax))) (* (sin (atan (* (/ alphay alphax) (tan (* (PI) (+ 1/2 (* u1 -2))))))) (/ (sin (atan (* (/ alphay alphax) (tan (* (PI) (+ 1/2 (* u1 -2))))))) (* alphay alphay))))))))
(neg (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay (neg alphax)) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay (neg alphax)) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* (neg alphax) (neg alphax))) (/ (* (sin (atan (* (/ alphay (neg alphax)) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay (neg alphax)) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))))
(/ -1 (sqrt (+ 1 (/ (/ u0 (- 1 u0)) (+ (* (sin (atan (* (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphay (neg alphax))))) (/ (sin (atan (* (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphay (neg alphax))))) (* alphay alphay))) (* (cos (atan (* (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphay (neg alphax))))) (/ (cos (atan (* (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphay (neg alphax))))) (* alphax alphax))))))))
(neg (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ (neg alphay) alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ (neg alphay) alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ (neg alphay) alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ (neg alphay) alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* (neg alphay) (neg alphay))))) u0) (- 1 u0))))))
(/ -1 (sqrt (+ 1 (/ (/ u0 (- 1 u0)) (+ (* (sin (atan (* (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphay (neg alphax))))) (/ (sin (atan (* (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphay (neg alphax))))) (* alphay alphay))) (* (cos (atan (* (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphay (neg alphax))))) (/ (cos (atan (* (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphay (neg alphax))))) (* alphax alphax))))))))
(/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u0) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u0) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u0) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u0) (* 1/2 (PI)))))))) (* alphay alphay)))) u1) (- 1 u1)))))
(/ 1 (sqrt (+ 1 (/ (/ u1 (- 1 u1)) (+ (* (cos (atan (* (/ alphay alphax) (tan (* (PI) (- 1/2 (* -2 u0))))))) (/ (cos (atan (* (/ alphay alphax) (tan (* (PI) (- 1/2 (* -2 u0))))))) (* alphax alphax))) (* (sin (atan (* (/ alphay alphax) (tan (* (PI) (- 1/2 (* -2 u0))))))) (/ (sin (atan (* (/ alphay alphax) (tan (* (PI) (- 1/2 (* -2 u0))))))) (* alphay alphay))))))))
(/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay u0) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay u0) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* u0 u0)) (/ (* (sin (atan (* (/ alphay u0) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay u0) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) alphax) (- 1 alphax)))))
(/ 1 (sqrt (+ 1 (/ (/ alphax (- 1 alphax)) (+ (* (cos (atan (* (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphay u0)))) (/ (cos (atan (* (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphay u0)))) (* u0 u0))) (* (sin (atan (* (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphay u0)))) (/ (sin (atan (* (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphay u0)))) (* alphay alphay))))))))
(/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ u0 alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ u0 alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ u0 alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ u0 alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* u0 u0)))) alphay) (- 1 alphay)))))
(/ 1 (sqrt (+ 1 (/ (/ alphay (- 1 alphay)) (+ (* (cos (atan (* (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ u0 alphax)))) (/ (cos (atan (* (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ u0 alphax)))) (* alphax alphax))) (* (sin (atan (* (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ u0 alphax)))) (/ (sin (atan (* (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ u0 alphax)))) (* u0 u0))))))))
(/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay u1) (tan (+ (* (* 2 (PI)) alphax) (* 1/2 (PI))))))) (cos (atan (* (/ alphay u1) (tan (+ (* (* 2 (PI)) alphax) (* 1/2 (PI)))))))) (* u1 u1)) (/ (* (sin (atan (* (/ alphay u1) (tan (+ (* (* 2 (PI)) alphax) (* 1/2 (PI))))))) (sin (atan (* (/ alphay u1) (tan (+ (* (* 2 (PI)) alphax) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)))))
(/ 1 (sqrt (+ 1 (/ (/ u0 (- 1 u0)) (+ (* (cos (atan (* (/ alphay u1) (tan (* (PI) (+ 1/2 (* alphax 2))))))) (/ (cos (atan (* (/ alphay u1) (tan (* (PI) (+ 1/2 (* alphax 2))))))) (* u1 u1))) (* (sin (atan (* (/ alphay u1) (tan (* (PI) (+ 1/2 (* alphax 2))))))) (/ (sin (atan (* (/ alphay u1) (tan (* (PI) (+ 1/2 (* alphax 2))))))) (* alphay alphay))))))))
(/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ u1 alphax) (tan (+ (* (* 2 (PI)) alphay) (* 1/2 (PI))))))) (cos (atan (* (/ u1 alphax) (tan (+ (* (* 2 (PI)) alphay) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ u1 alphax) (tan (+ (* (* 2 (PI)) alphay) (* 1/2 (PI))))))) (sin (atan (* (/ u1 alphax) (tan (+ (* (* 2 (PI)) alphay) (* 1/2 (PI)))))))) (* u1 u1)))) u0) (- 1 u0)))))
(/ 1 (sqrt (+ 1 (/ (/ u0 (- 1 u0)) (+ (* (cos (atan (* (/ u1 alphax) (tan (* (PI) (+ 1/2 (* alphay 2))))))) (/ (cos (atan (* (/ u1 alphax) (tan (* (PI) (+ 1/2 (* alphay 2))))))) (* alphax alphax))) (* (sin (atan (* (/ u1 alphax) (tan (* (PI) (+ 1/2 (* alphay 2))))))) (/ (sin (atan (* (/ u1 alphax) (tan (* (PI) (+ 1/2 (* alphay 2))))))) (* u1 u1))))))))
(/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphax alphay) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphax alphay) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)) (/ (* (sin (atan (* (/ alphax alphay) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphax alphay) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)))) u0) (- 1 u0)))))
(/ 1 (sqrt (+ 1 (/ (/ u0 (- 1 u0)) (+ (* (cos (atan (* (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))) (/ (cos (atan (* (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))) (* alphay alphay))) (* (sin (atan (* (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))) (/ (sin (atan (* (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))) (* alphax alphax))))))))

explain541.0ms (2.4%)

Memory
-29.4MiB live, 916.7MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1862(0.007722659967839718 0.0003416874387767166 0.026291709393262863 0.004296284168958664)5(1.523408732495568e-9 0.003664535703137517 0.059307169169187546 0.08162122964859009)(cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))
1805(0.007722659967839718 0.0003416874387767166 0.026291709393262863 0.004296284168958664)10(3.7291404169081943e-6 0.0027006566524505615 0.07674971222877502 0.3017655313014984)(tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))
00-0-(sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))))
00-0-(*.f32 alphax alphax)
00-0-(*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))))
00-0-(PI.f32)
00-0-#s(literal 2 binary32)
00-0-(/.f32 alphay alphax)
00-0-(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay))))
00-0-#s(literal 1/2 binary32)
00-0-(+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))
00-0-(-.f32 #s(literal 1 binary32) u0)
00-0-u1
00-0-(*.f32 #s(literal 1/2 binary32) (PI.f32))
00-0-alphax
00-0-(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))))
00-0-u0
00-0-(*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))))
00-0-(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1)
00-0-(sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))
00-0-(*.f32 alphay alphay)
00-0-#s(literal 1 binary32)
00-0-(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0)
00-0-(atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))
00-0-(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))
00-0-(+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))
00-0-(/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay))
00-0-(*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))
00-0-alphay
00-0-(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))
00-0-(/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax))
00-0-(*.f32 #s(literal 2 binary32) (PI.f32))
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
cos.f32(cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))sensitivity18316
tan.f32(tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))cancellation17519
Confusion
Predicted +Predicted -
+00
-19759
Precision
0.0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-1971841
Precision?
0.0
Recall?
0/0
Freqs
test
numberfreq
059
136
2161
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-100
Precision?
0.0
Recall?
0/0
Samples
153.0ms512×0valid
Compiler

Compiled 1 836 to 132 computations (92.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 122.0ms
ival-mult: 30.0ms (24.7% of total)
ival-div: 21.0ms (17.3% of total)
ival-tan: 17.0ms (14% of total)
ival-sin: 15.0ms (12.3% of total)
ival-cos: 15.0ms (12.3% of total)
ival-add: 8.0ms (6.6% of total)
ival-atan: 6.0ms (4.9% of total)
ival-sub: 3.0ms (2.5% of total)
ival-sqrt: 3.0ms (2.5% of total)
ival-pi: 2.0ms (1.6% of total)
ival-true: 1.0ms (0.8% of total)
exact: 1.0ms (0.8% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 4 to 4 computations (0% saved)

prune1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.4%
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))))
Compiler

Compiled 92 to 32 computations (65.2% saved)

simplify273.0ms (1.2%)

Memory
9.5MiB live, 322.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff64
(+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))
cost-diff160
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0)
cost-diff192
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))
cost-diff224
(+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))
Rules
9 836×accelerator-lowering-fma.f32
9 836×accelerator-lowering-fma.f64
3 312×*-lowering-*.f32
3 312×*-lowering-*.f64
1 908×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032824
164814
2102730
3151730
4243730
5698730
62213730
74174730
86150730
08174681
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)))))
1
(sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))
(+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)))
(/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))
(* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0)
(/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay))))
(+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))
(/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax))
(* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))))
(cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))
(atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))
(* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))
(/ alphay alphax)
alphay
alphax
(tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))
(+ (* (* 2 (PI)) u1) (* 1/2 (PI)))
(* (* 2 (PI)) u1)
(* 2 (PI))
2
(PI)
u1
(* 1/2 (PI))
1/2
(* alphax alphax)
(/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay))
(* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))))
(sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))
(* alphay alphay)
u0
(- 1 u0)
Outputs
(/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (*.f32 (fma.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) (/.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) (*.f32 alphay alphay))) (-.f32 #s(literal 1 binary32) u0))))))
1
#s(literal 1 binary32)
(sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))
(sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (*.f32 (fma.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) (/.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) (*.f32 alphay alphay))) (-.f32 #s(literal 1 binary32) u0)))))
(+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)))
(+.f32 #s(literal 1 binary32) (/.f32 u0 (*.f32 (fma.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) (/.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) (*.f32 alphay alphay))) (-.f32 #s(literal 1 binary32) u0))))
(/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))
(/.f32 u0 (*.f32 (fma.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) (/.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) (*.f32 alphay alphay))) (-.f32 #s(literal 1 binary32) u0)))
(* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0)
(/.f32 u0 (fma.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) (/.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) (*.f32 alphay alphay))))
(/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay))))
(/.f32 #s(literal 1 binary32) (fma.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) (/.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) (*.f32 alphay alphay))))
(+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))
(fma.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) (/.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) (*.f32 alphay alphay)))
(/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax))
(/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) (*.f32 alphax alphax))
(* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))))
(*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))))
(cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))
(cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))
(atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))
(atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))
(* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))
(*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))
(/ alphay alphax)
(/.f32 alphay alphax)
alphay
alphax
(tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))
(tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))
(+ (* (* 2 (PI)) u1) (* 1/2 (PI)))
(*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))
(* (* 2 (PI)) u1)
(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u1))
(* 2 (PI))
(*.f32 #s(literal 2 binary32) (PI.f32))
2
#s(literal 2 binary32)
(PI)
(PI.f32)
u1
(* 1/2 (PI))
(*.f32 (PI.f32) #s(literal 1/2 binary32))
1/2
#s(literal 1/2 binary32)
(* alphax alphax)
(*.f32 alphax alphax)
(/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay))
(/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) (*.f32 alphay alphay))
(* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))))
(*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))))
(sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))
(sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))
(* alphay alphay)
(*.f32 alphay alphay)
u0
(- 1 u0)
(-.f32 #s(literal 1 binary32) u0)

localize150.0ms (0.7%)

Memory
17.8MiB live, 259.0MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy98.8%
(*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))
accuracy98.4%
(*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))))
accuracy65.4%
(tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))
accuracy61.4%
(cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))
Samples
80.0ms256×0valid
Compiler

Compiled 826 to 34 computations (95.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 65.0ms
ival-div: 16.0ms (24.6% of total)
ival-mult: 13.0ms (20% of total)
ival-sin: 8.0ms (12.3% of total)
ival-tan: 8.0ms (12.3% of total)
ival-cos: 7.0ms (10.8% of total)
ival-atan: 6.0ms (9.2% of total)
ival-add: 3.0ms (4.6% of total)
ival-sqrt: 2.0ms (3.1% of total)
ival-pi: 1.0ms (1.5% of total)
ival-sub: 1.0ms (1.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series97.0ms (0.4%)

Memory
-6.6MiB live, 186.9MiB allocated
Counts
8 → 264
Calls
Call 1
Inputs
#<alt (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))>
#<alt (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))>
#<alt (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0)>
#<alt (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))>
#<alt (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))>
#<alt (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))>
#<alt (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))))>
#<alt (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))>
Outputs
#<alt (* 1/2 (PI))>
#<alt (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))>
#<alt (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))>
#<alt (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))>
#<alt (* 2 (* u1 (PI)))>
#<alt (* u1 (+ (* 1/2 (/ (PI) u1)) (* 2 (PI))))>
#<alt (* u1 (+ (* 1/2 (/ (PI) u1)) (* 2 (PI))))>
#<alt (* u1 (+ (* 1/2 (/ (PI) u1)) (* 2 (PI))))>
#<alt (* 2 (* u1 (PI)))>
#<alt (* -1 (* u1 (+ (* -2 (PI)) (* -1/2 (/ (PI) u1)))))>
#<alt (* -1 (* u1 (+ (* -2 (PI)) (* -1/2 (/ (PI) u1)))))>
#<alt (* -1 (* u1 (+ (* -2 (PI)) (* -1/2 (/ (PI) u1)))))>
#<alt (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (- 1 u0)))>
#<alt (* (pow alphay 2) (+ (* -1 (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 4) (- 1 u0))))) (/ u0 (* (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (- 1 u0)))))>
#<alt (* (pow alphay 2) (+ (* (pow alphay 2) (- (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 4))) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 6) (- 1 u0)))) (/ (* u0 (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 4) (- 1 u0)))))) (/ u0 (* (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (- 1 u0)))))>
#<alt (* (pow alphay 2) (+ (* (pow alphay 2) (- (* (pow alphay 2) (- (* -1 (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 6))) (* (pow alphax 6) (* (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 8) (- 1 u0))))) (* -1 (/ (* u0 (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 4)) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 6) (- 1 u0))))))) (/ (* u0 (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 4) (- 1 u0)))))) (/ u0 (* (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (- 1 u0)))))>
#<alt (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (- 1 u0)))>
#<alt (+ (* -1 (/ (* (pow alphax 4) (* u0 (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 4) (- 1 u0))))) (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (- 1 u0))))>
#<alt (- (+ (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (- 1 u0))) (/ (* (pow alphax 6) (* u0 (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 4))) (* (pow alphay 4) (* (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 6) (- 1 u0))))) (/ (* (pow alphax 4) (* u0 (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 4) (- 1 u0)))))>
#<alt (- (+ (* -1 (/ (* (pow alphax 8) (* u0 (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 6))) (* (pow alphay 6) (* (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 8) (- 1 u0))))) (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (- 1 u0)))) (+ (* -1 (/ (* (pow alphax 6) (* u0 (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 4))) (* (pow alphay 4) (* (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 6) (- 1 u0))))) (/ (* (pow alphax 4) (* u0 (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 4) (- 1 u0))))))>
#<alt (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (- 1 u0)))>
#<alt (+ (* -1 (/ (* (pow alphax 4) (* u0 (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 4) (- 1 u0))))) (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (- 1 u0))))>
#<alt (- (+ (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (- 1 u0))) (/ (* (pow alphax 6) (* u0 (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 4))) (* (pow alphay 4) (* (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 6) (- 1 u0))))) (/ (* (pow alphax 4) (* u0 (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 4) (- 1 u0)))))>
#<alt (- (+ (* -1 (/ (* (pow alphax 8) (* u0 (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 6))) (* (pow alphay 6) (* (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 8) (- 1 u0))))) (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (- 1 u0)))) (+ (* -1 (/ (* (pow alphax 6) (* u0 (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 4))) (* (pow alphay 4) (* (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 6) (- 1 u0))))) (/ (* (pow alphax 4) (* u0 (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 4) (- 1 u0))))))>
#<alt (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (- 1 u0)))>
#<alt (* (pow alphax 2) (+ (* -1 (/ (* (pow alphax 2) (* u0 (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 4) (- 1 u0))))) (/ u0 (* (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (- 1 u0)))))>
#<alt (* (pow alphax 2) (+ (* (pow alphax 2) (- (/ (* (pow alphax 2) (* u0 (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 4))) (* (pow alphay 4) (* (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 6) (- 1 u0)))) (/ (* u0 (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2)) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 4) (- 1 u0)))))) (/ u0 (* (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (- 1 u0)))))>
#<alt (* (pow alphax 2) (+ (* (pow alphax 2) (- (* (pow alphax 2) (- (* -1 (/ (* (pow alphax 2) (* u0 (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 6))) (* (pow alphay 6) (* (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 8) (- 1 u0))))) (* -1 (/ (* u0 (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 4)) (* (pow alphay 4) (* (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 6) (- 1 u0))))))) (/ (* u0 (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2)) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 4) (- 1 u0)))))) (/ u0 (* (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (- 1 u0)))))>
#<alt (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (- 1 u0)))>
#<alt (+ (* -1 (/ (* (pow alphay 4) (* u0 (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 4) (- 1 u0))))) (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (- 1 u0))))>
#<alt (- (+ (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (- 1 u0))) (/ (* (pow alphay 6) (* u0 (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 4))) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 6) (- 1 u0))))) (/ (* (pow alphay 4) (* u0 (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 4) (- 1 u0)))))>
#<alt (- (+ (* -1 (/ (* (pow alphay 8) (* u0 (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 6))) (* (pow alphax 6) (* (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 8) (- 1 u0))))) (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (- 1 u0)))) (+ (* -1 (/ (* (pow alphay 6) (* u0 (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 4))) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 6) (- 1 u0))))) (/ (* (pow alphay 4) (* u0 (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 4) (- 1 u0))))))>
#<alt (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (- 1 u0)))>
#<alt (+ (* -1 (/ (* (pow alphay 4) (* u0 (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 4) (- 1 u0))))) (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (- 1 u0))))>
#<alt (- (+ (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (- 1 u0))) (/ (* (pow alphay 6) (* u0 (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 4))) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 6) (- 1 u0))))) (/ (* (pow alphay 4) (* u0 (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 4) (- 1 u0)))))>
#<alt (- (+ (* -1 (/ (* (pow alphay 8) (* u0 (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 6))) (* (pow alphax 6) (* (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 8) (- 1 u0))))) (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (- 1 u0)))) (+ (* -1 (/ (* (pow alphay 6) (* u0 (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 4))) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 6) (- 1 u0))))) (/ (* (pow alphay 4) (* u0 (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 4) (- 1 u0))))))>
#<alt (/ u0 (* (+ (/ (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (pow alphay 2))) (- 1 u0)))>
#<alt (/ u0 (* (+ (/ (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (pow alphay 2))) (- 1 u0)))>
#<alt (/ u0 (* (+ (/ (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (pow alphay 2))) (- 1 u0)))>
#<alt (/ u0 (* (+ (/ (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (pow alphay 2))) (- 1 u0)))>
#<alt (/ u0 (* (+ (/ (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (pow alphay 2))) (- 1 u0)))>
#<alt (/ u0 (* (+ (/ (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (pow alphay 2))) (- 1 u0)))>
#<alt (/ u0 (* (+ (/ (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (pow alphay 2))) (- 1 u0)))>
#<alt (/ u0 (* (+ (/ (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (pow alphay 2))) (- 1 u0)))>
#<alt (/ u0 (* (+ (/ (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (pow alphay 2))) (- 1 u0)))>
#<alt (/ u0 (* (+ (/ (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (pow alphay 2))) (- 1 u0)))>
#<alt (/ u0 (* (+ (/ (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (pow alphay 2))) (- 1 u0)))>
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#<alt (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2)>
#<alt (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2)>
#<alt (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2)>
#<alt (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2)>
#<alt (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2)>
#<alt (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2)>
#<alt (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2)>
#<alt (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2)>
#<alt (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2)>
#<alt (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2)>
#<alt (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2)>
#<alt (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2)>
#<alt (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2)>
#<alt (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2)>
#<alt (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2)>
#<alt (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2)>
#<alt (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2)>
#<alt (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2)>
#<alt (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2)>
#<alt (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2)>
#<alt (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2)>
#<alt (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2)>
#<alt (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2)>
#<alt (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))>
#<alt (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))>
#<alt (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))>
#<alt (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))>
#<alt (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))>
#<alt (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))>
#<alt (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))>
#<alt (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))>
#<alt (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))>
#<alt (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))>
#<alt (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))>
#<alt (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))>
#<alt (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))>
#<alt (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))>
#<alt (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))>
#<alt (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))>
#<alt (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))>
#<alt (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))>
#<alt (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))>
#<alt (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))>
#<alt (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))>
#<alt (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))>
#<alt (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))>
#<alt (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))>
#<alt (/ (* alphay (sin (* 1/2 (PI)))) (* alphax (cos (* 1/2 (PI)))))>
#<alt (+ (/ (* alphay (sin (* 1/2 (PI)))) (* alphax (cos (* 1/2 (PI))))) (/ (* alphay (* u1 (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) alphax))>
#<alt (+ (* u1 (+ (* 2 (/ (* alphay (* u1 (* (PI) (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))))) (* alphax (cos (* 1/2 (PI)))))) (/ (* alphay (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))) alphax))) (/ (* alphay (sin (* 1/2 (PI)))) (* alphax (cos (* 1/2 (PI))))))>
#<alt (+ (* u1 (+ (* u1 (+ (* 2 (/ (* alphay (* (PI) (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))))) (* alphax (cos (* 1/2 (PI)))))) (/ (* alphay (* u1 (- (* -4/3 (pow (PI) 3)) (+ (* -4 (/ (* (pow (PI) 2) (* (pow (sin (* 1/2 (PI))) 2) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (pow (cos (* 1/2 (PI))) 2))) (+ (* -2 (* (pow (PI) 2) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (* 4/3 (/ (* (pow (PI) 3) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))))) alphax))) (/ (* alphay (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))) alphax))) (/ (* alphay (sin (* 1/2 (PI)))) (* alphax (cos (* 1/2 (PI))))))>
#<alt (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))>
#<alt (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))>
#<alt (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))>
#<alt (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))>
#<alt (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))>
#<alt (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))>
#<alt (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))>
#<alt (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))>
Calls

66 calls:

TimeVariablePointExpression
11.0ms
alphay
@0
(* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))
9.0ms
u1
@-inf
(/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))
5.0ms
alphay
@inf
(/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))
4.0ms
alphax
@inf
(/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))
4.0ms
u1
@0
(/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))

rewrite401.0ms (1.8%)

Memory
8.9MiB live, 606.0MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 612×/-lowering-/.f32
5 612×/-lowering-/.f64
4 382×accelerator-lowering-fma.f32
4 382×accelerator-lowering-fma.f64
4 086×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029214
1182198
21833198
08789187
Stop Event
iter limit
node limit
Counts
8 → 457
Calls
Call 1
Inputs
(+ (* (* 2 (PI)) u1) (* 1/2 (PI)))
(/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))
(* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0)
(+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))
(cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))
(tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))
(* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))))
(* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))
Outputs
(+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 (PI.f32) #s(literal 1/2 binary32)))
(+.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1))
(pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u1) (*.f32 (PI.f32) #s(literal 1/2 binary32)))) #s(literal -1 binary32))
(fma.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u1) (*.f32 (PI.f32) #s(literal 1/2 binary32)))
(fma.f32 (PI.f32) #s(literal 1/2 binary32) (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1))
(fma.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u1) (*.f32 (PI.f32) #s(literal 1/2 binary32)))
(fma.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1 (*.f32 (PI.f32) #s(literal 1/2 binary32)))
(fma.f32 u1 (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 (PI.f32) #s(literal 1/2 binary32)))
(fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1))
(fma.f32 #s(literal 1 binary32) (*.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1))
(fma.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 (cbrt.f32 (PI.f32)) #s(literal 1/2 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1))
(fma.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) #s(literal 1/2 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1))
(fma.f32 (*.f32 (PI.f32) u1) #s(literal 2 binary32) (*.f32 (PI.f32) #s(literal 1/2 binary32)))
(fma.f32 (*.f32 u1 #s(literal 2 binary32)) (PI.f32) (*.f32 (PI.f32) #s(literal 1/2 binary32)))
(fma.f32 (*.f32 #s(literal 1/2 binary32) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (cbrt.f32 (PI.f32)) (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1))
(fma.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)) (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1))
(-.f32 (/.f32 (*.f32 #s(literal 4 binary32) (*.f32 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) u1))) (fma.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u1) (*.f32 #s(literal -1/2 binary32) (PI.f32)))) (/.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1/4 binary32)) (fma.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u1) (*.f32 #s(literal -1/2 binary32) (PI.f32)))))
(-.f32 (/.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1/4 binary32)) (-.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1))) (/.f32 (*.f32 #s(literal 4 binary32) (*.f32 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) u1))) (-.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u1) (*.f32 (PI.f32) #s(literal 1/2 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u1) (*.f32 (PI.f32) #s(literal 1/2 binary32)))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1/4 binary32) (-.f32 (*.f32 #s(literal 4 binary32) (*.f32 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) u1))) (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 u1 (*.f32 (PI.f32) #s(literal 1/2 binary32)))))) (fma.f32 #s(literal 8 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 u1 (*.f32 u1 u1))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/8 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1)) (-.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1/4 binary32)) (*.f32 #s(literal 4 binary32) (*.f32 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) u1))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u1) (*.f32 (PI.f32) #s(literal 1/2 binary32))))))
(/.f32 (fma.f32 #s(literal 8 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 u1 (*.f32 u1 u1))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/8 binary32))) (fma.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)) (-.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1)) (*.f32 #s(literal 4 binary32) (*.f32 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) u1)))))
(/.f32 (fma.f32 #s(literal 8 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 u1 (*.f32 u1 u1))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/8 binary32))) (fma.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1/4 binary32) (-.f32 (*.f32 #s(literal 4 binary32) (*.f32 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) u1))) (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 u1 (*.f32 (PI.f32) #s(literal 1/2 binary32)))))))
(/.f32 (fma.f32 #s(literal 4 binary32) (*.f32 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) u1)) (neg.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1/4 binary32)))) (fma.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u1) (*.f32 #s(literal -1/2 binary32) (PI.f32))))
(/.f32 (neg.f32 (fma.f32 #s(literal 8 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 u1 (*.f32 u1 u1))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/8 binary32)))) (neg.f32 (fma.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)) (-.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1)) (*.f32 #s(literal 4 binary32) (*.f32 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) u1))))))
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(/.f32 (neg.f32 (*.f32 (/.f32 alphay alphax) (+.f32 (tan.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))))) (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 (tan.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))))))
(/.f32 (neg.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u1) (*.f32 (PI.f32) #s(literal 1/2 binary32)))) #s(literal 1 binary32))) (neg.f32 (/.f32 alphax alphay)))
(/.f32 (neg.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u1) (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (neg.f32 alphay))) (neg.f32 (neg.f32 alphax)))
(/.f32 (neg.f32 (*.f32 #s(literal 1 binary32) (tan.f32 (fma.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u1) (*.f32 (PI.f32) #s(literal 1/2 binary32)))))) (neg.f32 (/.f32 alphax alphay)))
(/.f32 (neg.f32 (*.f32 (neg.f32 alphay) (tan.f32 (fma.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u1) (*.f32 (PI.f32) #s(literal 1/2 binary32)))))) (neg.f32 (neg.f32 alphax)))
(/.f32 (neg.f32 (*.f32 (sin.f32 (fma.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u1) (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (/.f32 alphay alphax))) (neg.f32 (cos.f32 (fma.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u1) (*.f32 (PI.f32) #s(literal 1/2 binary32))))))
(/.f32 (neg.f32 (*.f32 (+.f32 (tan.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (/.f32 alphay alphax))) (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 (tan.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))))))
(*.f32 alphay (*.f32 (/.f32 #s(literal 1 binary32) alphax) (tan.f32 (fma.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u1) (*.f32 (PI.f32) #s(literal 1/2 binary32))))))
(*.f32 alphay (/.f32 (tan.f32 (fma.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u1) (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))
(*.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u1) (*.f32 (PI.f32) #s(literal 1/2 binary32)))))
(*.f32 (tan.f32 (fma.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u1) (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (/.f32 alphay alphax))
(*.f32 (/.f32 #s(literal 1 binary32) alphax) (/.f32 (tan.f32 (fma.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u1) (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (/.f32 #s(literal 1 binary32) alphay)))
(*.f32 (*.f32 alphay (tan.f32 (fma.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u1) (*.f32 (PI.f32) #s(literal 1/2 binary32))))) (/.f32 #s(literal 1 binary32) alphax))
(*.f32 (/.f32 (tan.f32 (fma.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u1) (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) alphay)))
(*.f32 (/.f32 (neg.f32 alphay) #s(literal -1 binary32)) (/.f32 (tan.f32 (fma.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u1) (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))
(*.f32 (/.f32 (sin.f32 (fma.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u1) (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax) (/.f32 (/.f32 #s(literal 1 binary32) (cos.f32 (fma.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u1) (*.f32 (PI.f32) #s(literal 1/2 binary32))))) (/.f32 #s(literal 1 binary32) alphay)))
(*.f32 (/.f32 (+.f32 (tan.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax) (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (tan.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))))) (/.f32 #s(literal 1 binary32) alphay)))
(*.f32 (/.f32 (tan.f32 (fma.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u1) (*.f32 (PI.f32) #s(literal 1/2 binary32)))) #s(literal -1 binary32)) (/.f32 (neg.f32 alphay) alphax))

simplify414.0ms (1.8%)

Memory
12.1MiB live, 763.7MiB allocated
Algorithm
egg-herbie
Rules
9 076×accelerator-lowering-fma.f32
9 076×accelerator-lowering-fma.f64
8 572×*-lowering-*.f32
8 572×*-lowering-*.f64
3 156×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034512504
1113511347
2479711342
0860810739
Stop Event
iter limit
node limit
Counts
264 → 264
Calls
Call 1
Inputs
(* 1/2 (PI))
(+ (* 1/2 (PI)) (* 2 (* u1 (PI))))
(+ (* 1/2 (PI)) (* 2 (* u1 (PI))))
(+ (* 1/2 (PI)) (* 2 (* u1 (PI))))
(* 2 (* u1 (PI)))
(* u1 (+ (* 1/2 (/ (PI) u1)) (* 2 (PI))))
(* u1 (+ (* 1/2 (/ (PI) u1)) (* 2 (PI))))
(* u1 (+ (* 1/2 (/ (PI) u1)) (* 2 (PI))))
(* 2 (* u1 (PI)))
(* -1 (* u1 (+ (* -2 (PI)) (* -1/2 (/ (PI) u1)))))
(* -1 (* u1 (+ (* -2 (PI)) (* -1/2 (/ (PI) u1)))))
(* -1 (* u1 (+ (* -2 (PI)) (* -1/2 (/ (PI) u1)))))
(/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (- 1 u0)))
(* (pow alphay 2) (+ (* -1 (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 4) (- 1 u0))))) (/ u0 (* (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (- 1 u0)))))
(* (pow alphay 2) (+ (* (pow alphay 2) (- (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 4))) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 6) (- 1 u0)))) (/ (* u0 (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 4) (- 1 u0)))))) (/ u0 (* (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (- 1 u0)))))
(* (pow alphay 2) (+ (* (pow alphay 2) (- (* (pow alphay 2) (- (* -1 (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 6))) (* (pow alphax 6) (* (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 8) (- 1 u0))))) (* -1 (/ (* u0 (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 4)) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 6) (- 1 u0))))))) (/ (* u0 (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 4) (- 1 u0)))))) (/ u0 (* (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (- 1 u0)))))
(/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (- 1 u0)))
(+ (* -1 (/ (* (pow alphax 4) (* u0 (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 4) (- 1 u0))))) (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (- 1 u0))))
(- (+ (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (- 1 u0))) (/ (* (pow alphax 6) (* u0 (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 4))) (* (pow alphay 4) (* (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 6) (- 1 u0))))) (/ (* (pow alphax 4) (* u0 (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 4) (- 1 u0)))))
(- (+ (* -1 (/ (* (pow alphax 8) (* u0 (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 6))) (* (pow alphay 6) (* (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 8) (- 1 u0))))) (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (- 1 u0)))) (+ (* -1 (/ (* (pow alphax 6) (* u0 (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 4))) (* (pow alphay 4) (* (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 6) (- 1 u0))))) (/ (* (pow alphax 4) (* u0 (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 4) (- 1 u0))))))
(/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (- 1 u0)))
(+ (* -1 (/ (* (pow alphax 4) (* u0 (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 4) (- 1 u0))))) (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (- 1 u0))))
(- (+ (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (- 1 u0))) (/ (* (pow alphax 6) (* u0 (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 4))) (* (pow alphay 4) (* (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 6) (- 1 u0))))) (/ (* (pow alphax 4) (* u0 (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 4) (- 1 u0)))))
(- (+ (* -1 (/ (* (pow alphax 8) (* u0 (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 6))) (* (pow alphay 6) (* (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 8) (- 1 u0))))) (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (- 1 u0)))) (+ (* -1 (/ (* (pow alphax 6) (* u0 (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 4))) (* (pow alphay 4) (* (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 6) (- 1 u0))))) (/ (* (pow alphax 4) (* u0 (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 4) (- 1 u0))))))
(/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (- 1 u0)))
(* (pow alphax 2) (+ (* -1 (/ (* (pow alphax 2) (* u0 (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 4) (- 1 u0))))) (/ u0 (* (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (- 1 u0)))))
(* (pow alphax 2) (+ (* (pow alphax 2) (- (/ (* (pow alphax 2) (* u0 (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 4))) (* (pow alphay 4) (* (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 6) (- 1 u0)))) (/ (* u0 (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2)) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 4) (- 1 u0)))))) (/ u0 (* (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (- 1 u0)))))
(* (pow alphax 2) (+ (* (pow alphax 2) (- (* (pow alphax 2) (- (* -1 (/ (* (pow alphax 2) (* u0 (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 6))) (* (pow alphay 6) (* (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 8) (- 1 u0))))) (* -1 (/ (* u0 (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 4)) (* (pow alphay 4) (* (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 6) (- 1 u0))))))) (/ (* u0 (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2)) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 4) (- 1 u0)))))) (/ u0 (* (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (- 1 u0)))))
(/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (- 1 u0)))
(+ (* -1 (/ (* (pow alphay 4) (* u0 (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 4) (- 1 u0))))) (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (- 1 u0))))
(- (+ (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (- 1 u0))) (/ (* (pow alphay 6) (* u0 (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 4))) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 6) (- 1 u0))))) (/ (* (pow alphay 4) (* u0 (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 4) (- 1 u0)))))
(- (+ (* -1 (/ (* (pow alphay 8) (* u0 (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 6))) (* (pow alphax 6) (* (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 8) (- 1 u0))))) (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (- 1 u0)))) (+ (* -1 (/ (* (pow alphay 6) (* u0 (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 4))) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 6) (- 1 u0))))) (/ (* (pow alphay 4) (* u0 (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 4) (- 1 u0))))))
(/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (- 1 u0)))
(+ (* -1 (/ (* (pow alphay 4) (* u0 (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 4) (- 1 u0))))) (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (- 1 u0))))
(- (+ (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (- 1 u0))) (/ (* (pow alphay 6) (* u0 (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 4))) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 6) (- 1 u0))))) (/ (* (pow alphay 4) (* u0 (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 4) (- 1 u0)))))
(- (+ (* -1 (/ (* (pow alphay 8) (* u0 (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 6))) (* (pow alphax 6) (* (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 8) (- 1 u0))))) (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (- 1 u0)))) (+ (* -1 (/ (* (pow alphay 6) (* u0 (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 4))) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 6) (- 1 u0))))) (/ (* (pow alphay 4) (* u0 (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 4) (- 1 u0))))))
(/ u0 (* (+ (/ (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (pow alphay 2))) (- 1 u0)))
(/ u0 (* (+ (/ (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (pow alphay 2))) (- 1 u0)))
(/ u0 (* (+ (/ (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (pow alphay 2))) (- 1 u0)))
(/ u0 (* (+ (/ (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (pow alphay 2))) (- 1 u0)))
(/ u0 (* (+ (/ (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (pow alphay 2))) (- 1 u0)))
(/ u0 (* (+ (/ (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (pow alphay 2))) (- 1 u0)))
(/ u0 (* (+ (/ (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (pow alphay 2))) (- 1 u0)))
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(/ (* (pow alphay 2) u0) (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2))
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(/ (* (pow alphax 2) u0) (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2))
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(/ (* (pow alphax 2) u0) (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2))
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(/ (* (pow alphax 2) u0) (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2))
(* (pow alphax 2) (+ (* -1 (/ (* (pow alphax 2) (* u0 (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2))) (* (pow alphay 2) (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 4)))) (/ u0 (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2))))
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(/ (* (pow alphay 2) u0) (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2))
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(/ (* (pow alphay 2) u0) (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2))
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(pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2)
(pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2)
(pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2)
(pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2)
(pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2)
(pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2)
(pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2)
(pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2)
(pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2)
(pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2)
(pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2)
(pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2)
(pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2)
(pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2)
(pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2)
(pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2)
(pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2)
(pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2)
(pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2)
(pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2)
(pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2)
(pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2)
(pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2)
(pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2)
(pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2)
(pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2)
(pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2)
(pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2)
(pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2)
(pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2)
(pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2)
(pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2)
(pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2)
(pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2)
(pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2)
(/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))
(/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))
(/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))
(/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))
(/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))
(/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))
(/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))
(/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))
(/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))
(/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))
(/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))
(/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))
(/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))
(/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))
(/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))
(/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))
(/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))
(/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))
(/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))
(/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))
(/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))
(/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))
(/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))
(/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))
(/ (* alphay (sin (* 1/2 (PI)))) (* alphax (cos (* 1/2 (PI)))))
(+ (/ (* alphay (sin (* 1/2 (PI)))) (* alphax (cos (* 1/2 (PI))))) (/ (* alphay (* u1 (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) alphax))
(+ (* u1 (+ (* 2 (/ (* alphay (* u1 (* (PI) (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))))) (* alphax (cos (* 1/2 (PI)))))) (/ (* alphay (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))) alphax))) (/ (* alphay (sin (* 1/2 (PI)))) (* alphax (cos (* 1/2 (PI))))))
(+ (* u1 (+ (* u1 (+ (* 2 (/ (* alphay (* (PI) (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))))) (* alphax (cos (* 1/2 (PI)))))) (/ (* alphay (* u1 (- (* -4/3 (pow (PI) 3)) (+ (* -4 (/ (* (pow (PI) 2) (* (pow (sin (* 1/2 (PI))) 2) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (pow (cos (* 1/2 (PI))) 2))) (+ (* -2 (* (pow (PI) 2) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (* 4/3 (/ (* (pow (PI) 3) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))))) alphax))) (/ (* alphay (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))) alphax))) (/ (* alphay (sin (* 1/2 (PI)))) (* alphax (cos (* 1/2 (PI))))))
(/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))
(/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))
(/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))
(/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))
(/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))
(/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))
(/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))
(/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))
Outputs
(* 1/2 (PI))
(*.f32 #s(literal 1/2 binary32) (PI.f32))
(+ (* 1/2 (PI)) (* 2 (* u1 (PI))))
(*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))
(+ (* 1/2 (PI)) (* 2 (* u1 (PI))))
(*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))
(+ (* 1/2 (PI)) (* 2 (* u1 (PI))))
(*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))
(* 2 (* u1 (PI)))
(*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32)))
(* u1 (+ (* 1/2 (/ (PI) u1)) (* 2 (PI))))
(*.f32 u1 (fma.f32 #s(literal 1/2 binary32) (/.f32 (PI.f32) u1) (*.f32 (PI.f32) #s(literal 2 binary32))))
(* u1 (+ (* 1/2 (/ (PI) u1)) (* 2 (PI))))
(*.f32 u1 (fma.f32 #s(literal 1/2 binary32) (/.f32 (PI.f32) u1) (*.f32 (PI.f32) #s(literal 2 binary32))))
(* u1 (+ (* 1/2 (/ (PI) u1)) (* 2 (PI))))
(*.f32 u1 (fma.f32 #s(literal 1/2 binary32) (/.f32 (PI.f32) u1) (*.f32 (PI.f32) #s(literal 2 binary32))))
(* 2 (* u1 (PI)))
(*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32)))
(* -1 (* u1 (+ (* -2 (PI)) (* -1/2 (/ (PI) u1)))))
(*.f32 u1 (fma.f32 #s(literal 1/2 binary32) (/.f32 (PI.f32) u1) (*.f32 (PI.f32) #s(literal 2 binary32))))
(* -1 (* u1 (+ (* -2 (PI)) (* -1/2 (/ (PI) u1)))))
(*.f32 u1 (fma.f32 #s(literal 1/2 binary32) (/.f32 (PI.f32) u1) (*.f32 (PI.f32) #s(literal 2 binary32))))
(* -1 (* u1 (+ (* -2 (PI)) (* -1/2 (/ (PI) u1)))))
(*.f32 u1 (fma.f32 #s(literal 1/2 binary32) (/.f32 (PI.f32) u1) (*.f32 (PI.f32) #s(literal 2 binary32))))
(/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (- 1 u0)))
(/.f32 (*.f32 (*.f32 alphay alphay) u0) (*.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (/.f32 alphay alphax)))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0)))
(* (pow alphay 2) (+ (* -1 (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 4) (- 1 u0))))) (/ u0 (* (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (- 1 u0)))))
(*.f32 (*.f32 alphay alphay) (fma.f32 (*.f32 alphay alphay) (/.f32 (*.f32 u0 (pow.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (/.f32 alphay alphax)))) #s(literal 2 binary32))) (*.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (/.f32 alphay alphax)))) #s(literal 4 binary32)) (neg.f32 (*.f32 (*.f32 alphax alphax) (-.f32 #s(literal 1 binary32) u0))))) (/.f32 u0 (*.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (/.f32 alphay alphax)))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0)))))
(* (pow alphay 2) (+ (* (pow alphay 2) (- (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 4))) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 6) (- 1 u0)))) (/ (* u0 (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 4) (- 1 u0)))))) (/ u0 (* (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (- 1 u0)))))
(*.f32 (*.f32 alphay alphay) (fma.f32 (*.f32 alphay alphay) (fma.f32 (*.f32 alphay alphay) (/.f32 (*.f32 u0 (pow.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (/.f32 alphay alphax)))) #s(literal 4 binary32))) (*.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (/.f32 alphay alphax)))) #s(literal 6 binary32)) (*.f32 (*.f32 (*.f32 alphax alphax) (*.f32 alphax alphax)) (-.f32 #s(literal 1 binary32) u0)))) (/.f32 (*.f32 u0 (pow.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (/.f32 alphay alphax)))) #s(literal 2 binary32))) (*.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (/.f32 alphay alphax)))) #s(literal 4 binary32)) (neg.f32 (*.f32 (*.f32 alphax alphax) (-.f32 #s(literal 1 binary32) u0)))))) (/.f32 u0 (*.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (/.f32 alphay alphax)))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0)))))
(* (pow alphay 2) (+ (* (pow alphay 2) (- (* (pow alphay 2) (- (* -1 (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 6))) (* (pow alphax 6) (* (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 8) (- 1 u0))))) (* -1 (/ (* u0 (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 4)) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 6) (- 1 u0))))))) (/ (* u0 (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 4) (- 1 u0)))))) (/ u0 (* (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (- 1 u0)))))
(*.f32 alphay (*.f32 alphay (fma.f32 (*.f32 alphay alphay) (fma.f32 (*.f32 alphay alphay) (fma.f32 (*.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (/.f32 alphay alphax)))) #s(literal 6 binary32)) (neg.f32 u0)) (/.f32 (*.f32 alphay alphay) (*.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (/.f32 alphay alphax)))) #s(literal 8 binary32)) (*.f32 (pow.f32 alphax #s(literal 6 binary32)) (-.f32 #s(literal 1 binary32) u0)))) (/.f32 (*.f32 u0 (pow.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (/.f32 alphay alphax)))) #s(literal 4 binary32))) (*.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (/.f32 alphay alphax)))) #s(literal 6 binary32)) (*.f32 (*.f32 (*.f32 alphax alphax) (*.f32 alphax alphax)) (-.f32 #s(literal 1 binary32) u0))))) (/.f32 (*.f32 u0 (pow.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (/.f32 alphay alphax)))) #s(literal 2 binary32))) (*.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (/.f32 alphay alphax)))) #s(literal 4 binary32)) (neg.f32 (*.f32 (*.f32 alphax alphax) (-.f32 #s(literal 1 binary32) u0)))))) (/.f32 u0 (*.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (/.f32 alphay alphax)))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0))))))
(/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (- 1 u0)))
(/.f32 (*.f32 u0 (*.f32 alphax alphax)) (*.f32 (-.f32 #s(literal 1 binary32) u0) (pow.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (/.f32 alphay alphax)))) #s(literal 2 binary32))))
(+ (* -1 (/ (* (pow alphax 4) (* u0 (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 4) (- 1 u0))))) (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (- 1 u0))))
(fma.f32 (*.f32 alphax alphax) (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (pow.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (/.f32 alphay alphax)))) #s(literal 2 binary32)))) (/.f32 (*.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (/.f32 alphay alphax)))) #s(literal 2 binary32)) (*.f32 u0 (*.f32 (*.f32 alphax alphax) (*.f32 alphax alphax)))) (*.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (/.f32 alphay alphax)))) #s(literal 4 binary32)) (neg.f32 (*.f32 (*.f32 alphay alphay) (-.f32 #s(literal 1 binary32) u0))))))
(- (+ (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (- 1 u0))) (/ (* (pow alphax 6) (* u0 (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 4))) (* (pow alphay 4) (* (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 6) (- 1 u0))))) (/ (* (pow alphax 4) (* u0 (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 4) (- 1 u0)))))
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(/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (- 1 u0)))
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(/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (- 1 u0)))
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(* (pow alphax 2) (+ (* (pow alphax 2) (- (/ (* (pow alphax 2) (* u0 (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 4))) (* (pow alphay 4) (* (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 6) (- 1 u0)))) (/ (* u0 (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2)) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 4) (- 1 u0)))))) (/ u0 (* (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (- 1 u0)))))
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(/ (* (pow alphay 2) u0) (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2))
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(* (pow alphay 2) (+ (* -1 (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2))) (* (pow alphax 2) (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 4)))) (/ u0 (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2))))
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(* (pow alphay 2) (+ (* (pow alphay 2) (- (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 4))) (* (pow alphax 4) (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 6))) (/ (* u0 (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2)) (* (pow alphax 2) (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 4))))) (/ u0 (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2))))
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(* (pow alphay 2) (+ (* (pow alphay 2) (- (* (pow alphay 2) (- (* -1 (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 6))) (* (pow alphax 6) (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 8)))) (* -1 (/ (* u0 (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 4)) (* (pow alphax 4) (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 6)))))) (/ (* u0 (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2)) (* (pow alphax 2) (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 4))))) (/ u0 (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2))))
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(/ (* (pow alphax 2) u0) (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2))
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(/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))
(/.f32 (*.f32 alphay (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (*.f32 alphax (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))
(/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))
(/.f32 (*.f32 alphay (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (*.f32 alphax (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))
(/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))
(/.f32 (*.f32 alphay (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (*.f32 alphax (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))
(/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))
(/.f32 (*.f32 alphay (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (*.f32 alphax (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))
(/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))
(/.f32 (*.f32 alphay (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (*.f32 alphax (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))
(/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))
(/.f32 (*.f32 alphay (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (*.f32 alphax (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))
(/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))
(/.f32 (*.f32 alphay (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (*.f32 alphax (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))
(/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))
(/.f32 (*.f32 alphay (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (*.f32 alphax (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))
(/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))
(/.f32 (*.f32 alphay (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (*.f32 alphax (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))
(/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))
(/.f32 (*.f32 alphay (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (*.f32 alphax (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))
(/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))
(/.f32 (*.f32 alphay (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (*.f32 alphax (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))
(/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))
(/.f32 (*.f32 alphay (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (*.f32 alphax (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))
(/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))
(/.f32 (*.f32 alphay (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (*.f32 alphax (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))
(/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))
(/.f32 (*.f32 alphay (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (*.f32 alphax (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))
(/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))
(/.f32 (*.f32 alphay (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (*.f32 alphax (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))
(/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))
(/.f32 (*.f32 alphay (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (*.f32 alphax (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))
(/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))
(/.f32 (*.f32 alphay (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (*.f32 alphax (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))
(/ (* alphay (sin (* 1/2 (PI)))) (* alphax (cos (* 1/2 (PI)))))
(/.f32 (*.f32 alphay (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (*.f32 alphax (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))))
(+ (/ (* alphay (sin (* 1/2 (PI)))) (* alphax (cos (* 1/2 (PI))))) (/ (* alphay (* u1 (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) alphax))
(*.f32 alphay (fma.f32 u1 (/.f32 (*.f32 #s(literal 2 binary32) (+.f32 (PI.f32) (/.f32 (*.f32 (PI.f32) (pow.f32 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))) (pow.f32 (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))))) alphax) (/.f32 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (*.f32 alphax (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))
(+ (* u1 (+ (* 2 (/ (* alphay (* u1 (* (PI) (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))))) (* alphax (cos (* 1/2 (PI)))))) (/ (* alphay (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))) alphax))) (/ (* alphay (sin (* 1/2 (PI)))) (* alphax (cos (* 1/2 (PI))))))
(fma.f32 #s(literal 2 binary32) (*.f32 (/.f32 (*.f32 (*.f32 (*.f32 u1 alphay) (*.f32 (PI.f32) (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))))) (*.f32 #s(literal 2 binary32) (+.f32 (PI.f32) (/.f32 (*.f32 (PI.f32) (pow.f32 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))) (pow.f32 (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32)))))) (*.f32 alphax (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))))) u1) (*.f32 alphay (fma.f32 u1 (/.f32 (*.f32 #s(literal 2 binary32) (+.f32 (PI.f32) (/.f32 (*.f32 (PI.f32) (pow.f32 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))) (pow.f32 (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))))) alphax) (/.f32 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (*.f32 alphax (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))))))))
(+ (* u1 (+ (* u1 (+ (* 2 (/ (* alphay (* (PI) (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))))) (* alphax (cos (* 1/2 (PI)))))) (/ (* alphay (* u1 (- (* -4/3 (pow (PI) 3)) (+ (* -4 (/ (* (pow (PI) 2) (* (pow (sin (* 1/2 (PI))) 2) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (pow (cos (* 1/2 (PI))) 2))) (+ (* -2 (* (pow (PI) 2) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (* 4/3 (/ (* (pow (PI) 3) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))))) alphax))) (/ (* alphay (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))) alphax))) (/ (* alphay (sin (* 1/2 (PI)))) (* alphax (cos (* 1/2 (PI))))))
(fma.f32 (fma.f32 alphay (*.f32 (-.f32 (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32))) (fma.f32 (*.f32 #s(literal -4 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 #s(literal 2 binary32) (+.f32 (PI.f32) (/.f32 (*.f32 (PI.f32) (pow.f32 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))) (pow.f32 (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))))) (/.f32 (pow.f32 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32)) (pow.f32 (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32)))) (fma.f32 (*.f32 #s(literal 2 binary32) (+.f32 (PI.f32) (/.f32 (*.f32 (PI.f32) (pow.f32 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))) (pow.f32 (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))))) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) (/.f32 (*.f32 (*.f32 #s(literal 4/3 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (pow.f32 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))) (pow.f32 (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32)))))) (/.f32 u1 alphax)) (*.f32 (*.f32 #s(literal 2 binary32) alphay) (*.f32 (*.f32 (PI.f32) (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (/.f32 (*.f32 #s(literal 2 binary32) (+.f32 (PI.f32) (/.f32 (*.f32 (PI.f32) (pow.f32 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))) (pow.f32 (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))))) (*.f32 alphax (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 u1 u1) (*.f32 alphay (fma.f32 u1 (/.f32 (*.f32 #s(literal 2 binary32) (+.f32 (PI.f32) (/.f32 (*.f32 (PI.f32) (pow.f32 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))) (pow.f32 (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))))) alphax) (/.f32 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (*.f32 alphax (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))))))))
(/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))
(/.f32 (*.f32 alphay (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (*.f32 alphax (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))
(/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))
(/.f32 (*.f32 alphay (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (*.f32 alphax (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))
(/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))
(/.f32 (*.f32 alphay (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (*.f32 alphax (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))
(/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))
(/.f32 (*.f32 alphay (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (*.f32 alphax (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))
(/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))
(/.f32 (*.f32 alphay (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (*.f32 alphax (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))
(/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))
(/.f32 (*.f32 alphay (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (*.f32 alphax (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))
(/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))
(/.f32 (*.f32 alphay (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (*.f32 alphax (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))
(/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))
(/.f32 (*.f32 alphay (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (*.f32 alphax (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))

eval231.0ms (1%)

Memory
-0.4MiB live, 559.9MiB allocated
Compiler

Compiled 123 567 to 9 180 computations (92.6% saved)

prune156.0ms (0.7%)

Memory
-3.1MiB live, 364.4MiB allocated
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New1 33831 341
Fresh000
Picked101
Done000
Total1 33931 342
Accuracy
99.4%
Counts
1 342 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.0%
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) u0) (*.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (/.f32 alphay alphax)))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0))))))
51.2%
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 u0 (*.f32 alphax alphax)) (*.f32 (-.f32 #s(literal 1 binary32) u0) (pow.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (/.f32 alphay alphax)))) #s(literal 2 binary32)))))))
99.4%
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u1) (*.f32 (PI.f32) #s(literal 1/2 binary32))))) #s(literal 2 binary32)))) (*.f32 alphax alphax)) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u1) (*.f32 (PI.f32) #s(literal 1/2 binary32))))))))) (*.f32 (*.f32 alphay alphay) #s(literal 2 binary32)))))))))
Compiler

Compiled 132 to 81 computations (38.6% saved)

simplify309.0ms (1.4%)

Memory
-12.4MiB live, 499.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f32 (*.f32 (*.f32 alphay alphay) u0) (*.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (/.f32 alphay alphax)))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0)))
cost-diff0
(sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) u0) (*.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (/.f32 alphay alphax)))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0)))))
cost-diff0
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) u0) (*.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (/.f32 alphay alphax)))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0))))))
cost-diff64
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) u0) (*.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (/.f32 alphay alphax)))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0))))
cost-diff0
(/.f32 (*.f32 u0 (*.f32 alphax alphax)) (*.f32 (-.f32 #s(literal 1 binary32) u0) (pow.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (/.f32 alphay alphax)))) #s(literal 2 binary32))))
cost-diff0
(sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 u0 (*.f32 alphax alphax)) (*.f32 (-.f32 #s(literal 1 binary32) u0) (pow.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (/.f32 alphay alphax)))) #s(literal 2 binary32))))))
cost-diff0
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 u0 (*.f32 alphax alphax)) (*.f32 (-.f32 #s(literal 1 binary32) u0) (pow.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (/.f32 alphay alphax)))) #s(literal 2 binary32)))))))
cost-diff64
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 u0 (*.f32 alphax alphax)) (*.f32 (-.f32 #s(literal 1 binary32) u0) (pow.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (/.f32 alphay alphax)))) #s(literal 2 binary32)))))
cost-diff0
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u1) (*.f32 (PI.f32) #s(literal 1/2 binary32))))) #s(literal 2 binary32)))) (*.f32 alphax alphax)) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u1) (*.f32 (PI.f32) #s(literal 1/2 binary32))))))))) (*.f32 (*.f32 alphay alphay) #s(literal 2 binary32)))))))))
cost-diff64
(+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u1) (*.f32 (PI.f32) #s(literal 1/2 binary32))))) #s(literal 2 binary32)))) (*.f32 alphax alphax)) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u1) (*.f32 (PI.f32) #s(literal 1/2 binary32))))))))) (*.f32 (*.f32 alphay alphay) #s(literal 2 binary32))))
cost-diff160
(fma.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u1) (*.f32 (PI.f32) #s(literal 1/2 binary32)))
cost-diff256
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u1) (*.f32 (PI.f32) #s(literal 1/2 binary32))))) #s(literal 2 binary32)))) (*.f32 alphax alphax))
Rules
10 422×accelerator-lowering-fma.f32
10 422×accelerator-lowering-fma.f64
3 626×*-lowering-*.f32
3 626×*-lowering-*.f64
3 366×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0561060
1132996
2356996
31068996
43745996
57164996
08260929
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(/ 1 (sqrt (+ 1 (/ u0 (* (- 1 u0) (+ (/ (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))) 2))) (* alphax alphax)) (/ (- 1 (cos (* 2 (atan (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))))))) (* (* alphay alphay) 2))))))))
1
(sqrt (+ 1 (/ u0 (* (- 1 u0) (+ (/ (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))) 2))) (* alphax alphax)) (/ (- 1 (cos (* 2 (atan (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))))))) (* (* alphay alphay) 2)))))))
(+ 1 (/ u0 (* (- 1 u0) (+ (/ (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))) 2))) (* alphax alphax)) (/ (- 1 (cos (* 2 (atan (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))))))) (* (* alphay alphay) 2))))))
(/ u0 (* (- 1 u0) (+ (/ (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))) 2))) (* alphax alphax)) (/ (- 1 (cos (* 2 (atan (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))))))) (* (* alphay alphay) 2)))))
u0
(* (- 1 u0) (+ (/ (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))) 2))) (* alphax alphax)) (/ (- 1 (cos (* 2 (atan (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))))))) (* (* alphay alphay) 2))))
(- 1 u0)
(+ (/ (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))) 2))) (* alphax alphax)) (/ (- 1 (cos (* 2 (atan (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))))))) (* (* alphay alphay) 2)))
(/ (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))) 2))) (* alphax alphax))
(/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))) 2)))
(+ 1 (pow (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))) 2))
(pow (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))) 2)
(* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2))))
(/ alphay alphax)
alphay
alphax
(tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))
(+ (* 2 (* (PI) u1)) (* (PI) 1/2))
2
(* (PI) u1)
(PI)
u1
(* (PI) 1/2)
1/2
(* alphax alphax)
(/ (- 1 (cos (* 2 (atan (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))))))) (* (* alphay alphay) 2))
(- 1 (cos (* 2 (atan (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2))))))))
(cos (* 2 (atan (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))))))
(* 2 (atan (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2))))))
(atan (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))))
(* (* alphay alphay) 2)
(* alphay alphay)
(/ 1 (sqrt (+ 1 (/ (* u0 (* alphax alphax)) (* (- 1 u0) (pow (cos (atan (* (tan (* (PI) (+ (* 2 u1) 1/2))) (/ alphay alphax)))) 2))))))
1
(sqrt (+ 1 (/ (* u0 (* alphax alphax)) (* (- 1 u0) (pow (cos (atan (* (tan (* (PI) (+ (* 2 u1) 1/2))) (/ alphay alphax)))) 2)))))
(+ 1 (/ (* u0 (* alphax alphax)) (* (- 1 u0) (pow (cos (atan (* (tan (* (PI) (+ (* 2 u1) 1/2))) (/ alphay alphax)))) 2))))
(/ (* u0 (* alphax alphax)) (* (- 1 u0) (pow (cos (atan (* (tan (* (PI) (+ (* 2 u1) 1/2))) (/ alphay alphax)))) 2)))
(* u0 (* alphax alphax))
u0
(* alphax alphax)
alphax
(* (- 1 u0) (pow (cos (atan (* (tan (* (PI) (+ (* 2 u1) 1/2))) (/ alphay alphax)))) 2))
(- 1 u0)
(pow (cos (atan (* (tan (* (PI) (+ (* 2 u1) 1/2))) (/ alphay alphax)))) 2)
(cos (atan (* (tan (* (PI) (+ (* 2 u1) 1/2))) (/ alphay alphax))))
(atan (* (tan (* (PI) (+ (* 2 u1) 1/2))) (/ alphay alphax)))
(* (tan (* (PI) (+ (* 2 u1) 1/2))) (/ alphay alphax))
(tan (* (PI) (+ (* 2 u1) 1/2)))
(* (PI) (+ (* 2 u1) 1/2))
(PI)
(+ (* 2 u1) 1/2)
2
u1
1/2
(/ alphay alphax)
alphay
(/ 1 (sqrt (+ 1 (/ (* (* alphay alphay) u0) (* (pow (sin (atan (* (tan (* (PI) (+ (* 2 u1) 1/2))) (/ alphay alphax)))) 2) (- 1 u0))))))
1
(sqrt (+ 1 (/ (* (* alphay alphay) u0) (* (pow (sin (atan (* (tan (* (PI) (+ (* 2 u1) 1/2))) (/ alphay alphax)))) 2) (- 1 u0)))))
(+ 1 (/ (* (* alphay alphay) u0) (* (pow (sin (atan (* (tan (* (PI) (+ (* 2 u1) 1/2))) (/ alphay alphax)))) 2) (- 1 u0))))
(/ (* (* alphay alphay) u0) (* (pow (sin (atan (* (tan (* (PI) (+ (* 2 u1) 1/2))) (/ alphay alphax)))) 2) (- 1 u0)))
(* (* alphay alphay) u0)
(* alphay alphay)
alphay
u0
(* (pow (sin (atan (* (tan (* (PI) (+ (* 2 u1) 1/2))) (/ alphay alphax)))) 2) (- 1 u0))
(pow (sin (atan (* (tan (* (PI) (+ (* 2 u1) 1/2))) (/ alphay alphax)))) 2)
(sin (atan (* (tan (* (PI) (+ (* 2 u1) 1/2))) (/ alphay alphax))))
(atan (* (tan (* (PI) (+ (* 2 u1) 1/2))) (/ alphay alphax)))
(* (tan (* (PI) (+ (* 2 u1) 1/2))) (/ alphay alphax))
(tan (* (PI) (+ (* 2 u1) 1/2)))
(* (PI) (+ (* 2 u1) 1/2))
(PI)
(+ (* 2 u1) 1/2)
2
u1
1/2
(/ alphay alphax)
alphax
(- 1 u0)
Outputs
(/ 1 (sqrt (+ 1 (/ u0 (* (- 1 u0) (+ (/ (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))) 2))) (* alphax alphax)) (/ (- 1 (cos (* 2 (atan (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))))))) (* (* alphay alphay) 2))))))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (fma.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))))) (/.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) (/.f32 #s(literal 1 binary32) (*.f32 alphax (fma.f32 alphax (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32)) alphax)))))))))
1
#s(literal 1 binary32)
(sqrt (+ 1 (/ u0 (* (- 1 u0) (+ (/ (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))) 2))) (* alphax alphax)) (/ (- 1 (cos (* 2 (atan (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))))))) (* (* alphay alphay) 2)))))))
(sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (fma.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))))) (/.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) (/.f32 #s(literal 1 binary32) (*.f32 alphax (fma.f32 alphax (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32)) alphax))))))))
(+ 1 (/ u0 (* (- 1 u0) (+ (/ (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))) 2))) (* alphax alphax)) (/ (- 1 (cos (* 2 (atan (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))))))) (* (* alphay alphay) 2))))))
(+.f32 #s(literal 1 binary32) (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (fma.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))))) (/.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) (/.f32 #s(literal 1 binary32) (*.f32 alphax (fma.f32 alphax (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32)) alphax)))))))
(/ u0 (* (- 1 u0) (+ (/ (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))) 2))) (* alphax alphax)) (/ (- 1 (cos (* 2 (atan (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))))))) (* (* alphay alphay) 2)))))
(/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (fma.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))))) (/.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) (/.f32 #s(literal 1 binary32) (*.f32 alphax (fma.f32 alphax (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32)) alphax))))))
u0
(* (- 1 u0) (+ (/ (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))) 2))) (* alphax alphax)) (/ (- 1 (cos (* 2 (atan (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))))))) (* (* alphay alphay) 2))))
(*.f32 (-.f32 #s(literal 1 binary32) u0) (fma.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))))) (/.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) (/.f32 #s(literal 1 binary32) (*.f32 alphax (fma.f32 alphax (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32)) alphax)))))
(- 1 u0)
(-.f32 #s(literal 1 binary32) u0)
(+ (/ (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))) 2))) (* alphax alphax)) (/ (- 1 (cos (* 2 (atan (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))))))) (* (* alphay alphay) 2)))
(fma.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))))) (/.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) (/.f32 #s(literal 1 binary32) (*.f32 alphax (fma.f32 alphax (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32)) alphax))))
(/ (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))) 2))) (* alphax alphax))
(/.f32 #s(literal 1 binary32) (*.f32 alphax (fma.f32 alphax (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32)) alphax)))
(/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))) 2)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))
(+ 1 (pow (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))) 2))
(+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32)))
(pow (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))) 2)
(pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))
(* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2))))
(*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))
(/ alphay alphax)
(/.f32 alphay alphax)
alphay
alphax
(tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))
(tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))
(+ (* 2 (* (PI) u1)) (* (PI) 1/2))
(*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))
2
#s(literal 2 binary32)
(* (PI) u1)
(*.f32 (PI.f32) u1)
(PI)
(PI.f32)
u1
(* (PI) 1/2)
(*.f32 (PI.f32) #s(literal 1/2 binary32))
1/2
#s(literal 1/2 binary32)
(* alphax alphax)
(*.f32 alphax alphax)
(/ (- 1 (cos (* 2 (atan (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))))))) (* (* alphay alphay) 2))
(/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))))) (*.f32 #s(literal 2 binary32) (*.f32 alphay alphay)))
(- 1 (cos (* 2 (atan (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2))))))))
(-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))))
(cos (* 2 (atan (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))))))
(cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))))
(* 2 (atan (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2))))))
(*.f32 #s(literal 2 binary32) (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))
(atan (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))))
(atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))
(* (* alphay alphay) 2)
(*.f32 #s(literal 2 binary32) (*.f32 alphay alphay))
(* alphay alphay)
(*.f32 alphay alphay)
(/ 1 (sqrt (+ 1 (/ (* u0 (* alphax alphax)) (* (- 1 u0) (pow (cos (atan (* (tan (* (PI) (+ (* 2 u1) 1/2))) (/ alphay alphax)))) 2))))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 alphax (/.f32 (*.f32 u0 alphax) (*.f32 (-.f32 #s(literal 1 binary32) u0) (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)))) #s(literal 1 binary32))))
1
#s(literal 1 binary32)
(sqrt (+ 1 (/ (* u0 (* alphax alphax)) (* (- 1 u0) (pow (cos (atan (* (tan (* (PI) (+ (* 2 u1) 1/2))) (/ alphay alphax)))) 2)))))
(sqrt.f32 (fma.f32 alphax (/.f32 (*.f32 u0 alphax) (*.f32 (-.f32 #s(literal 1 binary32) u0) (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)))) #s(literal 1 binary32)))
(+ 1 (/ (* u0 (* alphax alphax)) (* (- 1 u0) (pow (cos (atan (* (tan (* (PI) (+ (* 2 u1) 1/2))) (/ alphay alphax)))) 2))))
(fma.f32 alphax (/.f32 (*.f32 u0 alphax) (*.f32 (-.f32 #s(literal 1 binary32) u0) (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)))) #s(literal 1 binary32))
(/ (* u0 (* alphax alphax)) (* (- 1 u0) (pow (cos (atan (* (tan (* (PI) (+ (* 2 u1) 1/2))) (/ alphay alphax)))) 2)))
(/.f32 (*.f32 u0 (*.f32 alphax alphax)) (*.f32 (-.f32 #s(literal 1 binary32) u0) (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32))))
(* u0 (* alphax alphax))
(*.f32 u0 (*.f32 alphax alphax))
u0
(* alphax alphax)
(*.f32 alphax alphax)
alphax
(* (- 1 u0) (pow (cos (atan (* (tan (* (PI) (+ (* 2 u1) 1/2))) (/ alphay alphax)))) 2))
(*.f32 (-.f32 #s(literal 1 binary32) u0) (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)))
(- 1 u0)
(-.f32 #s(literal 1 binary32) u0)
(pow (cos (atan (* (tan (* (PI) (+ (* 2 u1) 1/2))) (/ alphay alphax)))) 2)
(pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32))
(cos (atan (* (tan (* (PI) (+ (* 2 u1) 1/2))) (/ alphay alphax))))
(cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))
(atan (* (tan (* (PI) (+ (* 2 u1) 1/2))) (/ alphay alphax)))
(atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))
(* (tan (* (PI) (+ (* 2 u1) 1/2))) (/ alphay alphax))
(*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))
(tan (* (PI) (+ (* 2 u1) 1/2)))
(tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))
(* (PI) (+ (* 2 u1) 1/2))
(*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))
(PI)
(PI.f32)
(+ (* 2 u1) 1/2)
(fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))
2
#s(literal 2 binary32)
u1
1/2
#s(literal 1/2 binary32)
(/ alphay alphax)
(/.f32 alphay alphax)
alphay
(/ 1 (sqrt (+ 1 (/ (* (* alphay alphay) u0) (* (pow (sin (atan (* (tan (* (PI) (+ (* 2 u1) 1/2))) (/ alphay alphax)))) 2) (- 1 u0))))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 u0 (/.f32 (*.f32 alphay alphay) (*.f32 (-.f32 #s(literal 1 binary32) u0) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)))) #s(literal 1 binary32))))
1
#s(literal 1 binary32)
(sqrt (+ 1 (/ (* (* alphay alphay) u0) (* (pow (sin (atan (* (tan (* (PI) (+ (* 2 u1) 1/2))) (/ alphay alphax)))) 2) (- 1 u0)))))
(sqrt.f32 (fma.f32 u0 (/.f32 (*.f32 alphay alphay) (*.f32 (-.f32 #s(literal 1 binary32) u0) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)))) #s(literal 1 binary32)))
(+ 1 (/ (* (* alphay alphay) u0) (* (pow (sin (atan (* (tan (* (PI) (+ (* 2 u1) 1/2))) (/ alphay alphax)))) 2) (- 1 u0))))
(fma.f32 u0 (/.f32 (*.f32 alphay alphay) (*.f32 (-.f32 #s(literal 1 binary32) u0) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)))) #s(literal 1 binary32))
(/ (* (* alphay alphay) u0) (* (pow (sin (atan (* (tan (* (PI) (+ (* 2 u1) 1/2))) (/ alphay alphax)))) 2) (- 1 u0)))
(/.f32 (*.f32 u0 (*.f32 alphay alphay)) (*.f32 (-.f32 #s(literal 1 binary32) u0) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32))))
(* (* alphay alphay) u0)
(*.f32 u0 (*.f32 alphay alphay))
(* alphay alphay)
(*.f32 alphay alphay)
alphay
u0
(* (pow (sin (atan (* (tan (* (PI) (+ (* 2 u1) 1/2))) (/ alphay alphax)))) 2) (- 1 u0))
(*.f32 (-.f32 #s(literal 1 binary32) u0) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)))
(pow (sin (atan (* (tan (* (PI) (+ (* 2 u1) 1/2))) (/ alphay alphax)))) 2)
(pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32))
(sin (atan (* (tan (* (PI) (+ (* 2 u1) 1/2))) (/ alphay alphax))))
(sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))
(atan (* (tan (* (PI) (+ (* 2 u1) 1/2))) (/ alphay alphax)))
(atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))
(* (tan (* (PI) (+ (* 2 u1) 1/2))) (/ alphay alphax))
(*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))
(tan (* (PI) (+ (* 2 u1) 1/2)))
(tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))
(* (PI) (+ (* 2 u1) 1/2))
(*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))
(PI)
(PI.f32)
(+ (* 2 u1) 1/2)
(fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))
2
#s(literal 2 binary32)
u1
1/2
#s(literal 1/2 binary32)
(/ alphay alphax)
(/.f32 alphay alphax)
alphax
(- 1 u0)
(-.f32 #s(literal 1 binary32) u0)

localize251.0ms (1.1%)

Memory
0.9MiB live, 444.0MiB allocated
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
accuracy99.2%
(/.f32 (*.f32 (*.f32 alphay alphay) u0) (*.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (/.f32 alphay alphax)))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0)))
accuracy98.8%
(*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (/.f32 alphay alphax))
accuracy98.7%
(*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))
accuracy65.4%
(tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))
accuracy98.7%
(*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))
accuracy98.4%
(pow.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (/.f32 alphay alphax)))) #s(literal 2 binary32))
accuracy65.4%
(tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))
accuracy61.4%
(cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (/.f32 alphay alphax))))
accuracy98.8%
(*.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u1) (*.f32 (PI.f32) #s(literal 1/2 binary32)))))
accuracy98.5%
(pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u1) (*.f32 (PI.f32) #s(literal 1/2 binary32))))) #s(literal 2 binary32))
accuracy97.8%
(-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u1) (*.f32 (PI.f32) #s(literal 1/2 binary32)))))))))
accuracy65.4%
(tan.f32 (fma.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u1) (*.f32 (PI.f32) #s(literal 1/2 binary32))))
Samples
133.0ms256×0valid
Compiler

Compiled 998 to 58 computations (94.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 108.0ms
ival-mult: 23.0ms (21.3% of total)
ival-tan: 18.0ms (16.7% of total)
ival-div: 17.0ms (15.8% of total)
ival-cos: 14.0ms (13% of total)
ival-add: 8.0ms (7.4% of total)
ival-sin: 7.0ms (6.5% of total)
ival-pow2: 7.0ms (6.5% of total)
ival-atan: 5.0ms (4.6% of total)
ival-sqrt: 5.0ms (4.6% of total)
ival-sub: 3.0ms (2.8% of total)
ival-pi: 1.0ms (0.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series404.0ms (1.8%)

Memory
23.8MiB live, 461.9MiB allocated
Counts
21 → 768
Calls
Call 1
Inputs
#<alt (/ (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))) 2))) (* alphax alphax))>
#<alt (+ (* 2 (* (PI) u1)) (* (PI) 1/2))>
#<alt (+ (/ (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))) 2))) (* alphax alphax)) (/ (- 1 (cos (* 2 (atan (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))))))) (* (* alphay alphay) 2)))>
#<alt (/ 1 (sqrt (+ 1 (/ u0 (* (- 1 u0) (+ (/ (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))) 2))) (* alphax alphax)) (/ (- 1 (cos (* 2 (atan (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))))))) (* (* alphay alphay) 2))))))))>
#<alt (+ 1 (/ (* u0 (* alphax alphax)) (* (- 1 u0) (pow (cos (atan (* (tan (* (PI) (+ (* 2 u1) 1/2))) (/ alphay alphax)))) 2))))>
#<alt (/ 1 (sqrt (+ 1 (/ (* u0 (* alphax alphax)) (* (- 1 u0) (pow (cos (atan (* (tan (* (PI) (+ (* 2 u1) 1/2))) (/ alphay alphax)))) 2))))))>
#<alt (sqrt (+ 1 (/ (* u0 (* alphax alphax)) (* (- 1 u0) (pow (cos (atan (* (tan (* (PI) (+ (* 2 u1) 1/2))) (/ alphay alphax)))) 2)))))>
#<alt (/ (* u0 (* alphax alphax)) (* (- 1 u0) (pow (cos (atan (* (tan (* (PI) (+ (* 2 u1) 1/2))) (/ alphay alphax)))) 2)))>
#<alt (+ 1 (/ (* (* alphay alphay) u0) (* (pow (sin (atan (* (tan (* (PI) (+ (* 2 u1) 1/2))) (/ alphay alphax)))) 2) (- 1 u0))))>
#<alt (/ 1 (sqrt (+ 1 (/ (* (* alphay alphay) u0) (* (pow (sin (atan (* (tan (* (PI) (+ (* 2 u1) 1/2))) (/ alphay alphax)))) 2) (- 1 u0))))))>
#<alt (sqrt (+ 1 (/ (* (* alphay alphay) u0) (* (pow (sin (atan (* (tan (* (PI) (+ (* 2 u1) 1/2))) (/ alphay alphax)))) 2) (- 1 u0)))))>
#<alt (/ (* (* alphay alphay) u0) (* (pow (sin (atan (* (tan (* (PI) (+ (* 2 u1) 1/2))) (/ alphay alphax)))) 2) (- 1 u0)))>
#<alt (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))>
#<alt (- 1 (cos (* 2 (atan (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2))))))))>
#<alt (pow (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))) 2)>
#<alt (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2))))>
#<alt (cos (atan (* (tan (* (PI) (+ (* 2 u1) 1/2))) (/ alphay alphax))))>
#<alt (tan (* (PI) (+ (* 2 u1) 1/2)))>
#<alt (pow (cos (atan (* (tan (* (PI) (+ (* 2 u1) 1/2))) (/ alphay alphax)))) 2)>
#<alt (* (PI) (+ (* 2 u1) 1/2))>
#<alt (* (tan (* (PI) (+ (* 2 u1) 1/2))) (/ alphay alphax))>
Outputs
#<alt (/ 1 (pow alphax 2))>
#<alt (+ (* -1 (/ (* (pow alphay 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (* (pow alphax 4) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)))) (/ 1 (pow alphax 2)))>
#<alt (+ (* (pow alphay 2) (- (/ (* (pow alphay 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4)) (* (pow alphax 6) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4))) (/ (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (* (pow alphax 4) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2))))) (/ 1 (pow alphax 2)))>
#<alt (+ (* (pow alphay 2) (- (* (pow alphay 2) (- (* -1 (/ (* (pow alphay 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 6)) (* (pow alphax 8) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 6)))) (* -1 (/ (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4) (* (pow alphax 6) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4)))))) (/ (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (* (pow alphax 4) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2))))) (/ 1 (pow alphax 2)))>
#<alt (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (* (pow alphay 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)))>
#<alt (/ (+ (* -1 (/ (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4)) (* (pow alphay 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4)))) (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2))) (pow alphay 2))>
#<alt (/ (- (+ (/ (* (pow alphax 4) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 6)) (* (pow alphay 4) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 6))) (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2))) (/ (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4)) (* (pow alphay 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4)))) (pow alphay 2))>
#<alt (/ (- (+ (* -1 (/ (* (pow alphax 6) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 8)) (* (pow alphay 6) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 8)))) (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2))) (+ (* -1 (/ (* (pow alphax 4) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 6)) (* (pow alphay 4) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 6)))) (/ (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4)) (* (pow alphay 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4))))) (pow alphay 2))>
#<alt (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (* (pow alphay 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)))>
#<alt (/ (+ (* -1 (/ (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4)) (* (pow alphay 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4)))) (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2))) (pow alphay 2))>
#<alt (/ (- (+ (/ (* (pow alphax 4) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 6)) (* (pow alphay 4) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 6))) (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2))) (/ (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4)) (* (pow alphay 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4)))) (pow alphay 2))>
#<alt (/ (- (+ (* -1 (/ (* (pow alphax 6) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 8)) (* (pow alphay 6) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 8)))) (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2))) (+ (* -1 (/ (* (pow alphax 4) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 6)) (* (pow alphay 4) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 6)))) (/ (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4)) (* (pow alphay 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4))))) (pow alphay 2))>
#<alt (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (* (pow alphay 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)))>
#<alt (+ (* -1 (/ (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4)) (* (pow alphay 4) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4)))) (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (* (pow alphay 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2))))>
#<alt (+ (* (pow alphax 2) (- (/ (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 6)) (* (pow alphay 6) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 6))) (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4) (* (pow alphay 4) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4))))) (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (* (pow alphay 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2))))>
#<alt (+ (* (pow alphax 2) (- (* (pow alphax 2) (- (* -1 (/ (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 8)) (* (pow alphay 8) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 8)))) (* -1 (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 6) (* (pow alphay 6) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 6)))))) (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4) (* (pow alphay 4) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4))))) (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (* (pow alphay 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2))))>
#<alt (/ 1 (pow alphax 2))>
#<alt (/ (+ 1 (* -1 (/ (* (pow alphay 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2))))) (pow alphax 2))>
#<alt (/ (- (+ 1 (/ (* (pow alphay 4) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4)) (* (pow alphax 4) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4)))) (/ (* (pow alphay 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)))) (pow alphax 2))>
#<alt (/ (- (+ 1 (* -1 (/ (* (pow alphay 6) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 6)) (* (pow alphax 6) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 6))))) (+ (* -1 (/ (* (pow alphay 4) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4)) (* (pow alphax 4) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4)))) (/ (* (pow alphay 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2))))) (pow alphax 2))>
#<alt (/ 1 (pow alphax 2))>
#<alt (/ (+ 1 (* -1 (/ (* (pow alphay 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2))))) (pow alphax 2))>
#<alt (/ (- (+ 1 (/ (* (pow alphay 4) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4)) (* (pow alphax 4) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4)))) (/ (* (pow alphay 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)))) (pow alphax 2))>
#<alt (/ (- (+ 1 (* -1 (/ (* (pow alphay 6) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 6)) (* (pow alphax 6) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 6))))) (+ (* -1 (/ (* (pow alphay 4) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4)) (* (pow alphax 4) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4)))) (/ (* (pow alphay 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2))))) (pow alphax 2))>
#<alt (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))))>
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Calls

192 calls:

TimeVariablePointExpression
65.0ms
u1
@0
(/ 1 (sqrt (+ 1 (/ u0 (* (- 1 u0) (+ (/ (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))) 2))) (* alphax alphax)) (/ (- 1 (cos (* 2 (atan (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))))))) (* (* alphay alphay) 2))))))))
15.0ms
alphax
@0
(/ 1 (sqrt (+ 1 (/ u0 (* (- 1 u0) (+ (/ (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))) 2))) (* alphax alphax)) (/ (- 1 (cos (* 2 (atan (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))))))) (* (* alphay alphay) 2))))))))
12.0ms
u0
@inf
(sqrt (+ 1 (/ (* u0 (* alphax alphax)) (* (- 1 u0) (pow (cos (atan (* (tan (* (PI) (+ (* 2 u1) 1/2))) (/ alphay alphax)))) 2)))))
12.0ms
alphay
@-inf
(+ 1 (/ (* u0 (* alphax alphax)) (* (- 1 u0) (pow (cos (atan (* (tan (* (PI) (+ (* 2 u1) 1/2))) (/ alphay alphax)))) 2))))
11.0ms
alphay
@inf
(/ 1 (sqrt (+ 1 (/ u0 (* (- 1 u0) (+ (/ (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))) 2))) (* alphax alphax)) (/ (- 1 (cos (* 2 (atan (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))))))) (* (* alphay alphay) 2))))))))

rewrite430.0ms (1.9%)

Memory
-13.6MiB live, 383.2MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 674×*-lowering-*.f32
4 674×*-lowering-*.f64
3 652×pow-lowering-pow.f64
3 652×pow-lowering-pow.f32
2 980×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056497
1364462
23851438
08928407
Stop Event
iter limit
node limit
Counts
21 → 690
Calls
Call 1
Inputs
(/ (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))) 2))) (* alphax alphax))
(+ (* 2 (* (PI) u1)) (* (PI) 1/2))
(+ (/ (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))) 2))) (* alphax alphax)) (/ (- 1 (cos (* 2 (atan (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))))))) (* (* alphay alphay) 2)))
(/ 1 (sqrt (+ 1 (/ u0 (* (- 1 u0) (+ (/ (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))) 2))) (* alphax alphax)) (/ (- 1 (cos (* 2 (atan (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))))))) (* (* alphay alphay) 2))))))))
(+ 1 (/ (* u0 (* alphax alphax)) (* (- 1 u0) (pow (cos (atan (* (tan (* (PI) (+ (* 2 u1) 1/2))) (/ alphay alphax)))) 2))))
(/ 1 (sqrt (+ 1 (/ (* u0 (* alphax alphax)) (* (- 1 u0) (pow (cos (atan (* (tan (* (PI) (+ (* 2 u1) 1/2))) (/ alphay alphax)))) 2))))))
(sqrt (+ 1 (/ (* u0 (* alphax alphax)) (* (- 1 u0) (pow (cos (atan (* (tan (* (PI) (+ (* 2 u1) 1/2))) (/ alphay alphax)))) 2)))))
(/ (* u0 (* alphax alphax)) (* (- 1 u0) (pow (cos (atan (* (tan (* (PI) (+ (* 2 u1) 1/2))) (/ alphay alphax)))) 2)))
(+ 1 (/ (* (* alphay alphay) u0) (* (pow (sin (atan (* (tan (* (PI) (+ (* 2 u1) 1/2))) (/ alphay alphax)))) 2) (- 1 u0))))
(/ 1 (sqrt (+ 1 (/ (* (* alphay alphay) u0) (* (pow (sin (atan (* (tan (* (PI) (+ (* 2 u1) 1/2))) (/ alphay alphax)))) 2) (- 1 u0))))))
(sqrt (+ 1 (/ (* (* alphay alphay) u0) (* (pow (sin (atan (* (tan (* (PI) (+ (* 2 u1) 1/2))) (/ alphay alphax)))) 2) (- 1 u0)))))
(/ (* (* alphay alphay) u0) (* (pow (sin (atan (* (tan (* (PI) (+ (* 2 u1) 1/2))) (/ alphay alphax)))) 2) (- 1 u0)))
(tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))
(- 1 (cos (* 2 (atan (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2))))))))
(pow (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))) 2)
(* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2))))
(cos (atan (* (tan (* (PI) (+ (* 2 u1) 1/2))) (/ alphay alphax))))
(tan (* (PI) (+ (* 2 u1) 1/2)))
(pow (cos (atan (* (tan (* (PI) (+ (* 2 u1) 1/2))) (/ alphay alphax)))) 2)
(* (PI) (+ (* 2 u1) 1/2))
(* (tan (* (PI) (+ (* 2 u1) 1/2))) (/ alphay alphax))
Outputs
(neg.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32)))) (*.f32 alphax (neg.f32 alphax))))
(neg.f32 (/.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32)))) (*.f32 alphax alphax)))
(exp.f32 (*.f32 (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))) (*.f32 alphax alphax))) #s(literal -1 binary32)))
(exp.f32 (-.f32 (*.f32 (log1p.f32 (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))) #s(literal -1 binary32)) (*.f32 (log.f32 alphax) #s(literal 2 binary32))))
(exp.f32 (-.f32 (*.f32 #s(literal 2 binary32) (neg.f32 (*.f32 #s(literal 1/2 binary32) (log1p.f32 (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32)))))) (*.f32 (log.f32 alphax) #s(literal 2 binary32))))
(pow.f32 (*.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))) (*.f32 alphax alphax)) #s(literal -1 binary32))
(pow.f32 (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))) (*.f32 alphax alphax)) #s(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 (/.f32 alphax (/.f32 #s(literal 1 binary32) (*.f32 alphax (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32)))))) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))) (*.f32 alphax alphax)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))) (*.f32 alphax alphax)) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 alphax (/.f32 #s(literal 1 binary32) (*.f32 alphax (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32)))))))
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32)))) (*.f32 alphax alphax))
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32)))) (neg.f32 (*.f32 alphax (neg.f32 alphax))))
(/.f32 #s(literal -1 binary32) (*.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32)))) (*.f32 alphax alphax)))
(/.f32 #s(literal -1 binary32) (neg.f32 (*.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))) (*.f32 alphax alphax))))
(/.f32 #s(literal -1 binary32) (*.f32 (*.f32 alphax alphax) (neg.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))))
(/.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32)))) (*.f32 alphax (neg.f32 alphax)))
(/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))
(/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))) alphax)
(/.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32)))))) (neg.f32 alphax))
(/.f32 (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax))) (neg.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32)))))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))) (*.f32 alphax alphax))))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)))
(*.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (*.f32 alphax (neg.f32 alphax))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32)))))
(*.f32 (/.f32 #s(literal 1 binary32) alphax) (/.f32 #s(literal 1 binary32) (*.f32 alphax (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))) (/.f32 #s(literal 1 binary32) alphax))
(*.f32 (pow.f32 (/.f32 (*.f32 alphax alphax) #s(literal -1 binary32)) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32)))))
(+.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u1)) (*.f32 (PI.f32) #s(literal 1/2 binary32)))
(+.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u1)))
(pow.f32 (/.f32 (fma.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)) (-.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u1))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal 4 binary32) (*.f32 u1 u1)))) (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal 8 binary32) (*.f32 (*.f32 u1 u1) u1)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/8 binary32)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u1) (*.f32 #s(literal -1/2 binary32) (PI.f32))) (*.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))) (fma.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u1) (*.f32 #s(literal -1/2 binary32) (PI.f32))))) #s(literal -1 binary32))
(fma.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u1)) (*.f32 (PI.f32) #s(literal 1/2 binary32)))
(fma.f32 #s(literal 1 binary32) (*.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u1)))
(fma.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u1) (*.f32 (PI.f32) #s(literal 1/2 binary32)))
(fma.f32 (PI.f32) #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u1)))
(fma.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u1) (*.f32 (PI.f32) #s(literal 1/2 binary32)))
(fma.f32 u1 (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 (PI.f32) #s(literal 1/2 binary32)))
(fma.f32 (*.f32 (PI.f32) u1) #s(literal 2 binary32) (*.f32 (PI.f32) #s(literal 1/2 binary32)))
(fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u1)))
(fma.f32 (*.f32 #s(literal 2 binary32) u1) (PI.f32) (*.f32 (PI.f32) #s(literal 1/2 binary32)))
(fma.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 (cbrt.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) u1)) (*.f32 (PI.f32) #s(literal 1/2 binary32)))
(fma.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 (cbrt.f32 (PI.f32)) #s(literal 1/2 binary32)) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u1)))
(fma.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) u1)) (*.f32 (PI.f32) #s(literal 1/2 binary32)))
(fma.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) #s(literal 1/2 binary32)) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u1)))
(fma.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1 (*.f32 (PI.f32) #s(literal 1/2 binary32)))
(fma.f32 (*.f32 (*.f32 #s(literal 2 binary32) u1) #s(literal 1 binary32)) (PI.f32) (*.f32 (PI.f32) #s(literal 1/2 binary32)))
(fma.f32 (*.f32 (*.f32 #s(literal 2 binary32) u1) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (cbrt.f32 (PI.f32)) (*.f32 (PI.f32) #s(literal 1/2 binary32)))
(fma.f32 (*.f32 (*.f32 #s(literal 2 binary32) u1) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)) (*.f32 (PI.f32) #s(literal 1/2 binary32)))
(fma.f32 (*.f32 #s(literal 1/2 binary32) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (cbrt.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u1)))
(fma.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u1)))
(-.f32 (/.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal 4 binary32) (*.f32 u1 u1))) (fma.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u1) (*.f32 #s(literal -1/2 binary32) (PI.f32)))) (/.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1/4 binary32)) (fma.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u1) (*.f32 #s(literal -1/2 binary32) (PI.f32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)) (-.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u1))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal 4 binary32) (*.f32 u1 u1)))) (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal 8 binary32) (*.f32 (*.f32 u1 u1) u1)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/8 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u1) (*.f32 #s(literal -1/2 binary32) (PI.f32))) (*.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))) (fma.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u1) (*.f32 #s(literal -1/2 binary32) (PI.f32))))))
(/.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal 8 binary32) (*.f32 (*.f32 u1 u1) u1)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/8 binary32))) (fma.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)) (-.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u1))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal 4 binary32) (*.f32 u1 u1)))))
(/.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal 8 binary32) (*.f32 (*.f32 u1 u1) u1)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/8 binary32))) (fma.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1/4 binary32) (-.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal 4 binary32) (*.f32 u1 u1))) (*.f32 (*.f32 (PI.f32) u1) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) #s(literal 1/2 binary32)))))))
(/.f32 (*.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))) (fma.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u1) (*.f32 #s(literal -1/2 binary32) (PI.f32)))) (fma.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u1) (*.f32 #s(literal -1/2 binary32) (PI.f32))))
(/.f32 (neg.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal 8 binary32) (*.f32 (*.f32 u1 u1) u1)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/8 binary32)))) (neg.f32 (fma.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)) (-.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u1))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal 4 binary32) (*.f32 u1 u1))))))
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(/.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal 8 binary32) (*.f32 (*.f32 u1 u1) u1)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/8 binary32))) (fma.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)) (-.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u1))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal 4 binary32) (*.f32 u1 u1)))))
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(/.f32 (*.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))) (fma.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u1) (*.f32 #s(literal -1/2 binary32) (PI.f32)))) (fma.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u1) (*.f32 #s(literal -1/2 binary32) (PI.f32))))
(/.f32 (neg.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal 8 binary32) (*.f32 (*.f32 u1 u1) u1)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/8 binary32)))) (neg.f32 (fma.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)) (-.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u1))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal 4 binary32) (*.f32 u1 u1))))))
(/.f32 (neg.f32 (*.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))) (fma.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u1) (*.f32 #s(literal -1/2 binary32) (PI.f32))))) (neg.f32 (fma.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u1) (*.f32 #s(literal -1/2 binary32) (PI.f32)))))
(/.f32 (-.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1/4 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal 4 binary32) (*.f32 u1 u1)))) (-.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u1))))
(/.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 8 binary32) (*.f32 (*.f32 u1 u1) u1) #s(literal 1/8 binary32))) (fma.f32 #s(literal 4 binary32) (*.f32 u1 u1) (-.f32 #s(literal 1/4 binary32) (*.f32 u1 #s(literal 1 binary32)))))
(/.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 4 binary32) (*.f32 u1 u1) #s(literal -1/4 binary32))) (fma.f32 #s(literal 2 binary32) u1 #s(literal -1/2 binary32)))
(/.f32 (*.f32 (fma.f32 #s(literal 8 binary32) (*.f32 (*.f32 u1 u1) u1) #s(literal 1/8 binary32)) (PI.f32)) (fma.f32 #s(literal 4 binary32) (*.f32 u1 u1) (-.f32 #s(literal 1/4 binary32) (*.f32 u1 #s(literal 1 binary32)))))
(/.f32 (*.f32 (fma.f32 #s(literal 4 binary32) (*.f32 u1 u1) #s(literal -1/4 binary32)) (PI.f32)) (fma.f32 #s(literal 2 binary32) u1 #s(literal -1/2 binary32)))
(*.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))
(*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))
(*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 (cbrt.f32 (PI.f32)) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))
(*.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))
(*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal 8 binary32) (*.f32 (*.f32 u1 u1) u1)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/8 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)) (-.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u1))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal 4 binary32) (*.f32 u1 u1))))))
(*.f32 (*.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))) (fma.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u1) (*.f32 #s(literal -1/2 binary32) (PI.f32)))) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u1) (*.f32 #s(literal -1/2 binary32) (PI.f32)))))
(*.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) #s(literal 1 binary32)) (PI.f32))
(*.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (cbrt.f32 (PI.f32)))
(*.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(exp.f32 (log.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))
(pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32))
(pow.f32 (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32)) #s(literal 1/2 binary32))
(pow.f32 (/.f32 alphax (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))) #s(literal -1 binary32))
(pow.f32 (sqrt.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))) #s(literal 2 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 alphax (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))
(/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (/.f32 alphax alphay))
(/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax)
(/.f32 (*.f32 #s(literal 1 binary32) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (*.f32 (/.f32 alphax alphay) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))
(/.f32 (*.f32 #s(literal 1 binary32) (+.f32 (tan.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u1))) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))))) (*.f32 (/.f32 alphax alphay) (-.f32 #s(literal 1 binary32) (*.f32 (tan.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u1))) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))))))
(/.f32 (*.f32 alphay (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (*.f32 alphax (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))
(/.f32 (*.f32 alphay (+.f32 (tan.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u1))) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))))) (*.f32 alphax (-.f32 #s(literal 1 binary32) (*.f32 (tan.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u1))) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))))))
(/.f32 (*.f32 (neg.f32 alphay) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (*.f32 (neg.f32 alphax) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))
(/.f32 (*.f32 (neg.f32 alphay) (+.f32 (tan.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u1))) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))))) (*.f32 (neg.f32 alphax) (-.f32 #s(literal 1 binary32) (*.f32 (tan.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u1))) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))))))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 1 binary32)) (*.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (/.f32 alphax alphay)))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (neg.f32 alphay)) (*.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (neg.f32 alphax)))
(/.f32 (*.f32 (+.f32 (tan.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u1))) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) #s(literal 1 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (tan.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u1))) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))))) (/.f32 alphax alphay)))
(/.f32 (*.f32 (+.f32 (tan.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u1))) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphay) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (tan.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u1))) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))))) alphax))
(/.f32 (*.f32 (+.f32 (tan.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u1))) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (neg.f32 alphay)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (tan.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u1))) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))))) (neg.f32 alphax)))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) alphay) (*.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) alphax))
(/.f32 (neg.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))) (neg.f32 alphax))
(/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))
(/.f32 (*.f32 (/.f32 alphay alphax) (+.f32 (tan.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u1))) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))))) (-.f32 #s(literal 1 binary32) (*.f32 (tan.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u1))) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))))))
(/.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 1 binary32)) (/.f32 alphax alphay))
(/.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (neg.f32 alphay)) (neg.f32 alphax))
(/.f32 (*.f32 #s(literal 1 binary32) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (/.f32 alphax alphay))
(/.f32 (*.f32 (neg.f32 alphay) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (neg.f32 alphax))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (/.f32 alphay alphax)) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))
(/.f32 (*.f32 (+.f32 (tan.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u1))) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (/.f32 alphay alphax)) (-.f32 #s(literal 1 binary32) (*.f32 (tan.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u1))) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))))))
(/.f32 (exp.f32 (log.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) (exp.f32 (log.f32 alphax)))
(*.f32 alphay (*.f32 (/.f32 #s(literal 1 binary32) alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))
(*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) alphax))
(*.f32 alphay (pow.f32 (*.f32 (/.f32 #s(literal 1 binary32) alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32)))
(*.f32 alphay (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) alphax) #s(literal 1 binary32)))
(*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))
(*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (/.f32 alphay alphax))
(*.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (/.f32 #s(literal 1 binary32) alphax))
(*.f32 (sqrt.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))) (sqrt.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))
(*.f32 (pow.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) alphax) #s(literal 1 binary32)))
(*.f32 (pow.f32 (sqrt.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))) #s(literal 1 binary32)) (pow.f32 (sqrt.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))) #s(literal 1 binary32)))
(*.f32 (exp.f32 (log.f32 (/.f32 alphay alphax))) (exp.f32 (log.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))
(*.f32 (exp.f32 (log.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))) (exp.f32 (log.f32 (/.f32 alphay alphax))))

simplify904.0ms (4%)

Memory
-8.4MiB live, 784.6MiB allocated
Algorithm
egg-herbie
Rules
7 150×accelerator-lowering-fma.f32
7 150×accelerator-lowering-fma.f64
6 546×*-lowering-*.f32
6 546×*-lowering-*.f64
5 322×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0163761297
1565459815
0859756237
Stop Event
iter limit
node limit
Counts
768 → 768
Calls
Call 1
Inputs
(/ 1 (pow alphax 2))
(+ (* -1 (/ (* (pow alphay 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (* (pow alphax 4) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)))) (/ 1 (pow alphax 2)))
(+ (* (pow alphay 2) (- (/ (* (pow alphay 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4)) (* (pow alphax 6) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4))) (/ (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (* (pow alphax 4) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2))))) (/ 1 (pow alphax 2)))
(+ (* (pow alphay 2) (- (* (pow alphay 2) (- (* -1 (/ (* (pow alphay 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 6)) (* (pow alphax 8) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 6)))) (* -1 (/ (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4) (* (pow alphax 6) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4)))))) (/ (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (* (pow alphax 4) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2))))) (/ 1 (pow alphax 2)))
(/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (* (pow alphay 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)))
(/ (+ (* -1 (/ (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4)) (* (pow alphay 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4)))) (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2))) (pow alphay 2))
(/ (- (+ (/ (* (pow alphax 4) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 6)) (* (pow alphay 4) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 6))) (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2))) (/ (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4)) (* (pow alphay 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4)))) (pow alphay 2))
(/ (- (+ (* -1 (/ (* (pow alphax 6) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 8)) (* (pow alphay 6) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 8)))) (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2))) (+ (* -1 (/ (* (pow alphax 4) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 6)) (* (pow alphay 4) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 6)))) (/ (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4)) (* (pow alphay 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4))))) (pow alphay 2))
(/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (* (pow alphay 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)))
(/ (+ (* -1 (/ (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4)) (* (pow alphay 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4)))) (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2))) (pow alphay 2))
(/ (- (+ (/ (* (pow alphax 4) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 6)) (* (pow alphay 4) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 6))) (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2))) (/ (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4)) (* (pow alphay 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4)))) (pow alphay 2))
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(* 1/2 (PI))
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1
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1
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1
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(* (/ (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) alphax) (sqrt (/ (- 1 u0) u0)))
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1
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1
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(* (/ alphax (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (sqrt (/ u0 (- 1 u0))))
(* alphax (+ (* 1/2 (* (/ (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) (pow alphax 2)) (sqrt (/ (- 1 u0) u0)))) (* (sqrt (/ u0 (- 1 u0))) (/ 1 (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))
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(* -1 (* (/ alphax (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (sqrt (/ u0 (- 1 u0)))))
(* -1 (* alphax (+ (* 1/2 (* (/ (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) (pow alphax 2)) (sqrt (/ (- 1 u0) u0)))) (* (sqrt (/ u0 (- 1 u0))) (/ 1 (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))
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(sqrt (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))
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1
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(/ (+ (* -1/2 (* (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 3) (pow alphay 2)) (sqrt (/ (pow (- 1 u0) 3) (pow u0 3))))) (* (sqrt (/ (- 1 u0) u0)) (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) alphay)
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(* -1 (* (/ (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) alphay) (sqrt (/ (- 1 u0) u0))))
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1
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(sqrt (/ 1 (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0))))))
(sqrt (/ 1 (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0))))))
(sqrt (/ 1 (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))) 2) (- 1 u0))))))
(sqrt (/ 1 (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))) 2) (- 1 u0))))))
(sqrt (/ 1 (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))) 2) (- 1 u0))))))
(sqrt (/ 1 (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))) 2) (- 1 u0))))))
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(sqrt (/ 1 (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0))))))
(sqrt (/ 1 (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0))))))
(sqrt (/ 1 (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0))))))
(sqrt (/ 1 (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0))))))
(sqrt (/ 1 (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0))))))
(sqrt (/ 1 (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0))))))
(sqrt (/ 1 (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0))))))
(sqrt (/ 1 (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0))))))
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(sqrt (/ 1 (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0))))))
(sqrt (/ 1 (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0))))))
1
(+ 1 (* 1/2 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))
(+ 1 (* (pow alphay 2) (+ (* -1/8 (/ (* (pow alphay 2) (pow u0 2)) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4) (pow (- 1 u0) 2)))) (* 1/2 (/ u0 (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))))
(+ 1 (* (pow alphay 2) (+ (* 1/2 (/ u0 (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))) (* (pow alphay 2) (+ (* -1/8 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4) (pow (- 1 u0) 2)))) (* 1/16 (/ (* (pow alphay 2) (pow u0 3)) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 6) (pow (- 1 u0) 3)))))))))
(* (/ alphay (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (sqrt (/ u0 (- 1 u0))))
(* alphay (+ (* 1/2 (* (/ (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) (pow alphay 2)) (sqrt (/ (- 1 u0) u0)))) (* (sqrt (/ u0 (- 1 u0))) (/ 1 (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))
(* alphay (+ (* -1/8 (* (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 3) (pow alphay 4)) (sqrt (/ (pow (- 1 u0) 3) (pow u0 3))))) (+ (* 1/2 (* (/ (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) (pow alphay 2)) (sqrt (/ (- 1 u0) u0)))) (* (sqrt (/ u0 (- 1 u0))) (/ 1 (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))
(* alphay (+ (* -1/8 (* (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 3) (pow alphay 4)) (sqrt (/ (pow (- 1 u0) 3) (pow u0 3))))) (+ (* 1/16 (* (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 5) (pow alphay 6)) (sqrt (/ (pow (- 1 u0) 5) (pow u0 5))))) (+ (* 1/2 (* (/ (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) (pow alphay 2)) (sqrt (/ (- 1 u0) u0)))) (* (sqrt (/ u0 (- 1 u0))) (/ 1 (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))
(* -1 (* (/ alphay (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (sqrt (/ u0 (- 1 u0)))))
(* -1 (* alphay (+ (* 1/2 (* (/ (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) (pow alphay 2)) (sqrt (/ (- 1 u0) u0)))) (* (sqrt (/ u0 (- 1 u0))) (/ 1 (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))
(* -1 (* alphay (+ (* -1/8 (* (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 3) (pow alphay 4)) (sqrt (/ (pow (- 1 u0) 3) (pow u0 3))))) (+ (* 1/2 (* (/ (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) (pow alphay 2)) (sqrt (/ (- 1 u0) u0)))) (* (sqrt (/ u0 (- 1 u0))) (/ 1 (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))
(* -1 (* alphay (+ (* -1/8 (* (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 3) (pow alphay 4)) (sqrt (/ (pow (- 1 u0) 3) (pow u0 3))))) (+ (* 1/16 (* (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 5) (pow alphay 6)) (sqrt (/ (pow (- 1 u0) 5) (pow u0 5))))) (+ (* 1/2 (* (/ (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) (pow alphay 2)) (sqrt (/ (- 1 u0) u0)))) (* (sqrt (/ u0 (- 1 u0))) (/ 1 (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))))
1
(+ 1 (* 1/2 (/ (* (pow alphay 2) u0) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))))
(+ 1 (* u0 (+ (* -1/2 (* u0 (+ (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))) (* 1/4 (/ (pow alphay 4) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4)))))) (* 1/2 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))))))
(+ 1 (* u0 (+ (* 1/2 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))) (* u0 (+ (* -1/2 (* u0 (+ (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))) (* -1/2 (/ (* (pow alphay 2) (+ (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))) (* 1/4 (/ (pow alphay 4) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4))))) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))))) (* -1/2 (+ (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))) (* 1/4 (/ (pow alphay 4) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4))))))))))
(sqrt (+ 1 (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))))
(+ (sqrt (+ 1 (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))))) (* -1/2 (* (/ (pow alphay 2) (* u0 (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))) (sqrt (/ 1 (+ 1 (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))))))))
(+ (sqrt (+ 1 (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))))) (+ (* -1/2 (* (/ (+ (* 1/4 (/ (pow alphay 4) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4) (+ 1 (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))))))) (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))) (pow u0 2)) (sqrt (/ 1 (+ 1 (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))))))) (* -1/2 (* (/ (pow alphay 2) (* u0 (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))) (sqrt (/ 1 (+ 1 (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))))))))))
(+ (sqrt (+ 1 (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))))) (+ (* -1/2 (* (/ (+ (* 1/4 (/ (pow alphay 4) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4) (+ 1 (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))))))) (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))) (pow u0 2)) (sqrt (/ 1 (+ 1 (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))))))) (+ (* -1/2 (* (/ (+ (* 1/2 (/ (* (pow alphay 2) (+ (* 1/4 (/ (pow alphay 4) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4) (+ 1 (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))))))) (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (+ 1 (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))))))) (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))) (pow u0 3)) (sqrt (/ 1 (+ 1 (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))))))) (* -1/2 (* (/ (pow alphay 2) (* u0 (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))) (sqrt (/ 1 (+ 1 (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))))))))))
(sqrt (+ 1 (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))))
(+ (sqrt (+ 1 (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))))) (* -1/2 (* (/ (pow alphay 2) (* u0 (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))) (sqrt (/ 1 (+ 1 (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))))))))
(+ (sqrt (+ 1 (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))))) (* -1 (/ (+ (* -1/2 (* (/ (- (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))) (* 1/4 (/ (pow alphay 4) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4) (+ 1 (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))))))) u0) (sqrt (/ 1 (+ 1 (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))))))) (* 1/2 (* (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)) (sqrt (/ 1 (+ 1 (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))))))))) u0)))
(+ (sqrt (+ 1 (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (/ (- (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)) (* 1/2 (/ (* (pow alphay 2) (- (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))) (* 1/4 (/ (pow alphay 4) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4) (+ 1 (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))))))))) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (+ 1 (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))))))) u0) (sqrt (/ 1 (+ 1 (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))))))) (* 1/2 (* (sqrt (/ 1 (+ 1 (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))))) (- (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))) (* 1/4 (/ (pow alphay 4) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4) (+ 1 (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))))))))))) u0)) (* 1/2 (* (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)) (sqrt (/ 1 (+ 1 (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))))))))) u0)))
(sqrt (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))
(sqrt (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))
(sqrt (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))
(sqrt (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))
(sqrt (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))
(sqrt (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))
(sqrt (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))
(sqrt (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))
(sqrt (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))) 2) (- 1 u0)))))
(sqrt (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))) 2) (- 1 u0)))))
(sqrt (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))) 2) (- 1 u0)))))
(sqrt (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))) 2) (- 1 u0)))))
(sqrt (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))
(sqrt (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))
(sqrt (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))
(sqrt (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))
(sqrt (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))
(sqrt (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))
(sqrt (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))
(sqrt (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))
(sqrt (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))
(sqrt (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))
(sqrt (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))
(sqrt (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))
(/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))
(/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))
(/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))
(/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))
(/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))
(/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))
(/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))
(/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))
(/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))
(/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))
(/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))
(/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))
(/ (* (pow alphay 2) u0) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))
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(/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))
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(/ (* alphay (sin (* 1/2 (PI)))) (* alphax (cos (* 1/2 (PI)))))
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(+ (* u1 (- (+ (* 2 (PI)) (* u1 (- (* u1 (- (* -4/3 (pow (PI) 3)) (+ (* -4 (/ (* (pow (PI) 2) (* (pow (sin (* 1/2 (PI))) 2) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (pow (cos (* 1/2 (PI))) 2))) (+ (* -2 (* (pow (PI) 2) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (* 4/3 (/ (* (pow (PI) 3) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))))) (* -2 (/ (* (PI) (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (cos (* 1/2 (PI)))))))) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))) (/ (sin (* 1/2 (PI))) (cos (* 1/2 (PI)))))
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(/ (sin (* (PI) (+ 1/2 (* 2 u1)))) (cos (* (PI) (+ 1/2 (* 2 u1)))))
(/ (sin (* (PI) (+ 1/2 (* 2 u1)))) (cos (* (PI) (+ 1/2 (* 2 u1)))))
(/ (sin (* (PI) (+ 1/2 (* 2 u1)))) (cos (* (PI) (+ 1/2 (* 2 u1)))))
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(/ (sin (* (PI) (- 1/2 (* -2 u1)))) (cos (* (PI) (- 1/2 (* -2 u1)))))
(/ (sin (* (PI) (- 1/2 (* -2 u1)))) (cos (* (PI) (- 1/2 (* -2 u1)))))
(/ (sin (* (PI) (- 1/2 (* -2 u1)))) (cos (* (PI) (- 1/2 (* -2 u1)))))
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(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow (cos (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))) 2)
(pow (cos (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))) 2)
(pow (cos (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))) 2)
(pow (cos (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))) 2)
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
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(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
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(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
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(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
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(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(* 1/2 (PI))
(+ (* 1/2 (PI)) (* 2 (* u1 (PI))))
(+ (* 1/2 (PI)) (* 2 (* u1 (PI))))
(+ (* 1/2 (PI)) (* 2 (* u1 (PI))))
(* 2 (* u1 (PI)))
(* u1 (+ (* 1/2 (/ (PI) u1)) (* 2 (PI))))
(* u1 (+ (* 1/2 (/ (PI) u1)) (* 2 (PI))))
(* u1 (+ (* 1/2 (/ (PI) u1)) (* 2 (PI))))
(* 2 (* u1 (PI)))
(* -1 (* u1 (+ (* -2 (PI)) (* -1/2 (/ (PI) u1)))))
(* -1 (* u1 (+ (* -2 (PI)) (* -1/2 (/ (PI) u1)))))
(* -1 (* u1 (+ (* -2 (PI)) (* -1/2 (/ (PI) u1)))))
(/ (* alphay (sin (* 1/2 (PI)))) (* alphax (cos (* 1/2 (PI)))))
(+ (/ (* alphay (sin (* 1/2 (PI)))) (* alphax (cos (* 1/2 (PI))))) (/ (* alphay (* u1 (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) alphax))
(+ (* u1 (+ (* 2 (/ (* alphay (* u1 (* (PI) (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))))) (* alphax (cos (* 1/2 (PI)))))) (/ (* alphay (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))) alphax))) (/ (* alphay (sin (* 1/2 (PI)))) (* alphax (cos (* 1/2 (PI))))))
(+ (* u1 (+ (* u1 (+ (* 2 (/ (* alphay (* (PI) (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))))) (* alphax (cos (* 1/2 (PI)))))) (/ (* alphay (* u1 (- (* -4/3 (pow (PI) 3)) (+ (* -4 (/ (* (pow (PI) 2) (* (pow (sin (* 1/2 (PI))) 2) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (pow (cos (* 1/2 (PI))) 2))) (+ (* -2 (* (pow (PI) 2) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (* 4/3 (/ (* (pow (PI) 3) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))))) alphax))) (/ (* alphay (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))) alphax))) (/ (* alphay (sin (* 1/2 (PI)))) (* alphax (cos (* 1/2 (PI))))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))
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(/ (* alphay (sin (* (PI) (- 1/2 (* -2 u1))))) (* alphax (cos (* (PI) (- 1/2 (* -2 u1))))))
(/ (* alphay (sin (* (PI) (- 1/2 (* -2 u1))))) (* alphax (cos (* (PI) (- 1/2 (* -2 u1))))))
(/ (* alphay (sin (* (PI) (- 1/2 (* -2 u1))))) (* alphax (cos (* (PI) (- 1/2 (* -2 u1))))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))
Outputs
(/ 1 (pow alphax 2))
(/.f32 #s(literal 1 binary32) (*.f32 alphax alphax))
(+ (* -1 (/ (* (pow alphay 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (* (pow alphax 4) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)))) (/ 1 (pow alphax 2)))
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(* -1 (/ (+ (sqrt (/ (* (+ (* 1/2 (- 1 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax)))))) (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2))) (- 1 u0)) u0)) (* -1/2 (* (/ (- 1 (* -1 (/ (* (pow alphax 2) (* u0 (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4))) (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4) (* (pow (+ (* 1/2 (- 1 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax)))))) (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2))) 2) (- 1 u0)))))) (pow alphay 2)) (sqrt (/ (* (pow (+ (* 1/2 (- 1 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax)))))) (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2))) 3) (pow (- 1 u0) 3)) (pow u0 3)))))) alphay))
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1
#s(literal 1 binary32)
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1
#s(literal 1 binary32)
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(+ 1 (* (pow alphax 2) (+ (* 1/2 (/ u0 (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))) (* (pow alphax 2) (+ (* -1/8 (/ (pow u0 2) (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4) (pow (- 1 u0) 2)))) (* 1/16 (/ (* (pow alphax 2) (pow u0 3)) (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 6) (pow (- 1 u0) 3)))))))))
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(* (/ alphax (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (sqrt (/ u0 (- 1 u0))))
(/.f32 (*.f32 alphax (sqrt.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))
(* alphax (+ (* 1/2 (* (/ (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) (pow alphax 2)) (sqrt (/ (- 1 u0) u0)))) (* (sqrt (/ u0 (- 1 u0))) (/ 1 (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))
(*.f32 alphax (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u0) u0))) (*.f32 alphax alphax)) (/.f32 (sqrt.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))) (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))))
(* alphax (+ (* -1/8 (* (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 3) (pow alphax 4)) (sqrt (/ (pow (- 1 u0) 3) (pow u0 3))))) (+ (* 1/2 (* (/ (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) (pow alphax 2)) (sqrt (/ (- 1 u0) u0)))) (* (sqrt (/ u0 (- 1 u0))) (/ 1 (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))
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(* alphax (+ (* -1/8 (* (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 3) (pow alphax 4)) (sqrt (/ (pow (- 1 u0) 3) (pow u0 3))))) (+ (* 1/16 (* (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 5) (pow alphax 6)) (sqrt (/ (pow (- 1 u0) 5) (pow u0 5))))) (+ (* 1/2 (* (/ (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) (pow alphax 2)) (sqrt (/ (- 1 u0) u0)))) (* (sqrt (/ u0 (- 1 u0))) (/ 1 (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))
(*.f32 alphax (fma.f32 #s(literal 1/16 binary32) (/.f32 (*.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))) #s(literal 5 binary32)) (sqrt.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u0) #s(literal 5 binary32)) (pow.f32 u0 #s(literal 5 binary32))))) (pow.f32 alphax #s(literal 6 binary32))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (*.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))) #s(literal 3 binary32)) (sqrt.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u0) (*.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) u0))) (*.f32 u0 (*.f32 u0 u0))))) (pow.f32 alphax #s(literal 4 binary32))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u0) u0))) (*.f32 alphax alphax)) (/.f32 (sqrt.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))) (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))))))
(* -1 (* (/ alphax (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (sqrt (/ u0 (- 1 u0)))))
(/.f32 (neg.f32 (*.f32 alphax (sqrt.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))))) (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))
(* -1 (* alphax (+ (* 1/2 (* (/ (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) (pow alphax 2)) (sqrt (/ (- 1 u0) u0)))) (* (sqrt (/ u0 (- 1 u0))) (/ 1 (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))
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(* -1 (* alphax (+ (* -1/8 (* (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 3) (pow alphax 4)) (sqrt (/ (pow (- 1 u0) 3) (pow u0 3))))) (+ (* 1/2 (* (/ (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) (pow alphax 2)) (sqrt (/ (- 1 u0) u0)))) (* (sqrt (/ u0 (- 1 u0))) (/ 1 (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))
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(* -1 (* alphax (+ (* -1/8 (* (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 3) (pow alphax 4)) (sqrt (/ (pow (- 1 u0) 3) (pow u0 3))))) (+ (* 1/16 (* (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 5) (pow alphax 6)) (sqrt (/ (pow (- 1 u0) 5) (pow u0 5))))) (+ (* 1/2 (* (/ (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) (pow alphax 2)) (sqrt (/ (- 1 u0) u0)))) (* (sqrt (/ u0 (- 1 u0))) (/ 1 (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))))
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(sqrt (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))
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(sqrt (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))
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(sqrt (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))
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(sqrt (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))
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(sqrt (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))
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(sqrt (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))
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(sqrt (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))
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(sqrt (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))
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(sqrt (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))) 2) (- 1 u0)))))
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(sqrt (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))) 2) (- 1 u0)))))
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(sqrt (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))) 2) (- 1 u0)))))
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(sqrt (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))) 2) (- 1 u0)))))
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(sqrt (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))
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(sqrt (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))
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(sqrt (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))
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1
#s(literal 1 binary32)
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1
#s(literal 1 binary32)
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(+ 1 (* (pow alphay 2) (+ (* -1/2 (/ u0 (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))) (* (pow alphay 2) (+ (* -1/2 (* (pow alphay 2) (+ (* 1/2 (/ (* u0 (+ (* -1 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4) (pow (- 1 u0) 2)))) (* 1/4 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4) (pow (- 1 u0) 2)))))) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))) (/ (pow u0 3) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 6) (pow (- 1 u0) 3)))))) (* -1/2 (+ (* -1 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4) (pow (- 1 u0) 2)))) (* 1/4 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4) (pow (- 1 u0) 2)))))))))))
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(* (/ (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) alphay) (sqrt (/ (- 1 u0) u0)))
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(/ (+ (* -1/2 (* (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 3) (pow alphay 2)) (sqrt (/ (pow (- 1 u0) 3) (pow u0 3))))) (* (sqrt (/ (- 1 u0) u0)) (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) alphay)
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(/ (+ (* -1/2 (* (/ (+ (* -1 (/ (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 6) (pow (- 1 u0) 3)) (pow u0 3))) (* 1/4 (/ (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 6) (pow (- 1 u0) 3)) (pow u0 3)))) (* (pow alphay 4) (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) (sqrt (/ u0 (- 1 u0))))) (+ (* -1/2 (* (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 3) (pow alphay 2)) (sqrt (/ (pow (- 1 u0) 3) (pow u0 3))))) (* (sqrt (/ (- 1 u0) u0)) (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) alphay)
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(/ (+ (* -1/2 (* (/ (+ (* -1 (/ (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 6) (pow (- 1 u0) 3)) (pow u0 3))) (* 1/4 (/ (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 6) (pow (- 1 u0) 3)) (pow u0 3)))) (* (pow alphay 4) (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) (sqrt (/ u0 (- 1 u0))))) (+ (* -1/2 (* (/ (+ (* 1/2 (/ (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (* (+ (* -1 (/ (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 6) (pow (- 1 u0) 3)) (pow u0 3))) (* 1/4 (/ (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 6) (pow (- 1 u0) 3)) (pow u0 3)))) (- 1 u0))) u0)) (/ (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 8) (pow (- 1 u0) 4)) (pow u0 4))) (* (pow alphay 6) (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) (sqrt (/ u0 (- 1 u0))))) (+ (* -1/2 (* (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 3) (pow alphay 2)) (sqrt (/ (pow (- 1 u0) 3) (pow u0 3))))) (* (sqrt (/ (- 1 u0) u0)) (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))) alphay)
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(* -1 (* (/ (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) alphay) (sqrt (/ (- 1 u0) u0))))
(/.f32 (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u0) u0)) (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax)))) (neg.f32 alphay))
(* -1 (/ (+ (* -1/2 (* (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 3) (pow alphay 2)) (sqrt (/ (pow (- 1 u0) 3) (pow u0 3))))) (* (sqrt (/ (- 1 u0) u0)) (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) alphay))
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(* -1 (/ (+ (* -1/2 (* (/ (+ (* -1 (/ (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 6) (pow (- 1 u0) 3)) (pow u0 3))) (* 1/4 (/ (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 6) (pow (- 1 u0) 3)) (pow u0 3)))) (* (pow alphay 4) (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) (sqrt (/ u0 (- 1 u0))))) (+ (* -1/2 (* (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 3) (pow alphay 2)) (sqrt (/ (pow (- 1 u0) 3) (pow u0 3))))) (* (sqrt (/ (- 1 u0) u0)) (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) alphay))
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(* -1 (/ (+ (* -1/2 (* (/ (+ (* -1 (/ (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 6) (pow (- 1 u0) 3)) (pow u0 3))) (* 1/4 (/ (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 6) (pow (- 1 u0) 3)) (pow u0 3)))) (* (pow alphay 4) (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) (sqrt (/ u0 (- 1 u0))))) (+ (* -1/2 (* (/ (+ (* 1/2 (/ (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (* (+ (* -1 (/ (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 6) (pow (- 1 u0) 3)) (pow u0 3))) (* 1/4 (/ (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 6) (pow (- 1 u0) 3)) (pow u0 3)))) (- 1 u0))) u0)) (/ (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 8) (pow (- 1 u0) 4)) (pow u0 4))) (* (pow alphay 6) (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) (sqrt (/ u0 (- 1 u0))))) (+ (* -1/2 (* (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 3) (pow alphay 2)) (sqrt (/ (pow (- 1 u0) 3) (pow u0 3))))) (* (sqrt (/ (- 1 u0) u0)) (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))) alphay))
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1
#s(literal 1 binary32)
(+ 1 (* -1/2 (/ (* (pow alphay 2) u0) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))))
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(sqrt (/ 1 (+ 1 (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))))))
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(/.f32 (*.f32 alphay (sqrt.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))
(* alphay (+ (* 1/2 (* (/ (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) (pow alphay 2)) (sqrt (/ (- 1 u0) u0)))) (* (sqrt (/ u0 (- 1 u0))) (/ 1 (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))
(*.f32 alphay (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u0) u0)) (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax)))) (*.f32 alphay alphay)) (/.f32 (sqrt.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))) (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))))
(* alphay (+ (* -1/8 (* (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 3) (pow alphay 4)) (sqrt (/ (pow (- 1 u0) 3) (pow u0 3))))) (+ (* 1/2 (* (/ (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) (pow alphay 2)) (sqrt (/ (- 1 u0) u0)))) (* (sqrt (/ u0 (- 1 u0))) (/ 1 (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))
(*.f32 alphay (fma.f32 #s(literal -1/8 binary32) (/.f32 (*.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))) #s(literal 3 binary32)) (sqrt.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u0) (*.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) u0))) (*.f32 u0 (*.f32 u0 u0))))) (pow.f32 alphay #s(literal 4 binary32))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u0) u0)) (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax)))) (*.f32 alphay alphay)) (/.f32 (sqrt.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))) (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax)))))))
(* alphay (+ (* -1/8 (* (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 3) (pow alphay 4)) (sqrt (/ (pow (- 1 u0) 3) (pow u0 3))))) (+ (* 1/16 (* (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 5) (pow alphay 6)) (sqrt (/ (pow (- 1 u0) 5) (pow u0 5))))) (+ (* 1/2 (* (/ (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) (pow alphay 2)) (sqrt (/ (- 1 u0) u0)))) (* (sqrt (/ u0 (- 1 u0))) (/ 1 (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))
(*.f32 alphay (fma.f32 #s(literal -1/8 binary32) (/.f32 (*.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))) #s(literal 3 binary32)) (sqrt.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u0) (*.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) u0))) (*.f32 u0 (*.f32 u0 u0))))) (pow.f32 alphay #s(literal 4 binary32))) (fma.f32 #s(literal 1/16 binary32) (/.f32 (*.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))) #s(literal 5 binary32)) (sqrt.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u0) #s(literal 5 binary32)) (pow.f32 u0 #s(literal 5 binary32))))) (pow.f32 alphay #s(literal 6 binary32))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u0) u0)) (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax)))) (*.f32 alphay alphay)) (/.f32 (sqrt.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))) (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))))))
(* -1 (* (/ alphay (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (sqrt (/ u0 (- 1 u0)))))
(/.f32 (neg.f32 (*.f32 alphay (sqrt.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))))) (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))
(* -1 (* alphay (+ (* 1/2 (* (/ (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) (pow alphay 2)) (sqrt (/ (- 1 u0) u0)))) (* (sqrt (/ u0 (- 1 u0))) (/ 1 (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))
(*.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u0) u0)) (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax)))) (*.f32 alphay alphay)) (/.f32 (sqrt.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))) (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))) (neg.f32 alphay))
(* -1 (* alphay (+ (* -1/8 (* (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 3) (pow alphay 4)) (sqrt (/ (pow (- 1 u0) 3) (pow u0 3))))) (+ (* 1/2 (* (/ (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) (pow alphay 2)) (sqrt (/ (- 1 u0) u0)))) (* (sqrt (/ u0 (- 1 u0))) (/ 1 (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))
(*.f32 (fma.f32 #s(literal -1/8 binary32) (/.f32 (*.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))) #s(literal 3 binary32)) (sqrt.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u0) (*.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) u0))) (*.f32 u0 (*.f32 u0 u0))))) (pow.f32 alphay #s(literal 4 binary32))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u0) u0)) (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax)))) (*.f32 alphay alphay)) (/.f32 (sqrt.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))) (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax)))))) (neg.f32 alphay))
(* -1 (* alphay (+ (* -1/8 (* (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 3) (pow alphay 4)) (sqrt (/ (pow (- 1 u0) 3) (pow u0 3))))) (+ (* 1/16 (* (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 5) (pow alphay 6)) (sqrt (/ (pow (- 1 u0) 5) (pow u0 5))))) (+ (* 1/2 (* (/ (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) (pow alphay 2)) (sqrt (/ (- 1 u0) u0)))) (* (sqrt (/ u0 (- 1 u0))) (/ 1 (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))))
(neg.f32 (*.f32 alphay (fma.f32 #s(literal -1/8 binary32) (/.f32 (*.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))) #s(literal 3 binary32)) (sqrt.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u0) (*.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) u0))) (*.f32 u0 (*.f32 u0 u0))))) (pow.f32 alphay #s(literal 4 binary32))) (fma.f32 #s(literal 1/16 binary32) (/.f32 (*.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))) #s(literal 5 binary32)) (sqrt.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u0) #s(literal 5 binary32)) (pow.f32 u0 #s(literal 5 binary32))))) (pow.f32 alphay #s(literal 6 binary32))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u0) u0)) (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax)))) (*.f32 alphay alphay)) (/.f32 (sqrt.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))) (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax)))))))))
1
#s(literal 1 binary32)
(+ 1 (* 1/2 (/ (* (pow alphay 2) u0) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))))
(fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) u0) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))) #s(literal 2 binary32))) #s(literal 1 binary32))
(+ 1 (* u0 (+ (* -1/2 (* u0 (+ (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))) (* 1/4 (/ (pow alphay 4) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4)))))) (* 1/2 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))))))
(fma.f32 u0 (fma.f32 (*.f32 #s(literal -1/2 binary32) u0) (fma.f32 #s(literal 1/4 binary32) (/.f32 (pow.f32 alphay #s(literal 4 binary32)) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))) #s(literal 4 binary32))) (/.f32 (neg.f32 (*.f32 alphay alphay)) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))) #s(literal 2 binary32)))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))) #s(literal 2 binary32)))) #s(literal 1 binary32))
(+ 1 (* u0 (+ (* 1/2 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))) (* u0 (+ (* -1/2 (* u0 (+ (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))) (* -1/2 (/ (* (pow alphay 2) (+ (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))) (* 1/4 (/ (pow alphay 4) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4))))) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))))) (* -1/2 (+ (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))) (* 1/4 (/ (pow alphay 4) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4))))))))))
(fma.f32 u0 (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))) #s(literal 2 binary32))) (*.f32 u0 (*.f32 #s(literal -1/2 binary32) (fma.f32 u0 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) (fma.f32 #s(literal 1/4 binary32) (/.f32 (pow.f32 alphay #s(literal 4 binary32)) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))) #s(literal 4 binary32))) (/.f32 (neg.f32 (*.f32 alphay alphay)) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))) #s(literal 2 binary32))))) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))) #s(literal 2 binary32))) (/.f32 (neg.f32 (*.f32 alphay alphay)) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))) #s(literal 2 binary32)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 (pow.f32 alphay #s(literal 4 binary32)) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))) #s(literal 4 binary32))) (/.f32 (neg.f32 (*.f32 alphay alphay)) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))) #s(literal 2 binary32)))))))) #s(literal 1 binary32))
(sqrt (+ 1 (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))))
(sqrt.f32 (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))) #s(literal 2 binary32)))))
(+ (sqrt (+ 1 (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))))) (* -1/2 (* (/ (pow alphay 2) (* u0 (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))) (sqrt (/ 1 (+ 1 (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))))))))
(fma.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 alphay alphay) (*.f32 u0 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))) #s(literal 2 binary32))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))) #s(literal 2 binary32)))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))) #s(literal 2 binary32))))))
(+ (sqrt (+ 1 (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))))) (+ (* -1/2 (* (/ (+ (* 1/4 (/ (pow alphay 4) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4) (+ 1 (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))))))) (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))) (pow u0 2)) (sqrt (/ 1 (+ 1 (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))))))) (* -1/2 (* (/ (pow alphay 2) (* u0 (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))) (sqrt (/ 1 (+ 1 (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))))))))))
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(/.f32 (*.f32 alphay (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (*.f32 alphax (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))
(/ (* alphay (sin (* 1/2 (PI)))) (* alphax (cos (* 1/2 (PI)))))
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(/.f32 (*.f32 alphay (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (*.f32 alphax (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))))
(+ (/ (* alphay (sin (* 1/2 (PI)))) (* alphax (cos (* 1/2 (PI))))) (/ (* alphay (* u1 (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) alphax))
(*.f32 alphay (+.f32 (/.f32 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (*.f32 alphax (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))))) (/.f32 (*.f32 u1 (*.f32 #s(literal 2 binary32) (+.f32 (PI.f32) (/.f32 (*.f32 (PI.f32) (pow.f32 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))) (pow.f32 (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32)))))) alphax)))
(+ (* u1 (+ (* 2 (/ (* alphay (* u1 (* (PI) (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))))) (* alphax (cos (* 1/2 (PI)))))) (/ (* alphay (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))) alphax))) (/ (* alphay (sin (* 1/2 (PI)))) (* alphax (cos (* 1/2 (PI))))))
(fma.f32 alphay (/.f32 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (*.f32 alphax (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))))) (*.f32 u1 (fma.f32 #s(literal 2 binary32) (/.f32 (*.f32 (*.f32 alphay u1) (*.f32 (*.f32 (PI.f32) (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (+.f32 (PI.f32) (/.f32 (*.f32 (PI.f32) (pow.f32 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))) (pow.f32 (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))))))) (*.f32 alphax (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))))) (/.f32 (*.f32 alphay (*.f32 #s(literal 2 binary32) (+.f32 (PI.f32) (/.f32 (*.f32 (PI.f32) (pow.f32 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))) (pow.f32 (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32)))))) alphax))))
(+ (* u1 (+ (* u1 (+ (* 2 (/ (* alphay (* (PI) (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))))) (* alphax (cos (* 1/2 (PI)))))) (/ (* alphay (* u1 (- (* -4/3 (pow (PI) 3)) (+ (* -4 (/ (* (pow (PI) 2) (* (pow (sin (* 1/2 (PI))) 2) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (pow (cos (* 1/2 (PI))) 2))) (+ (* -2 (* (pow (PI) 2) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (* 4/3 (/ (* (pow (PI) 3) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))))) alphax))) (/ (* alphay (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))) alphax))) (/ (* alphay (sin (* 1/2 (PI)))) (* alphax (cos (* 1/2 (PI))))))
(fma.f32 u1 (fma.f32 u1 (fma.f32 #s(literal 2 binary32) (/.f32 (*.f32 alphay (*.f32 (*.f32 (PI.f32) (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (+.f32 (PI.f32) (/.f32 (*.f32 (PI.f32) (pow.f32 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))) (pow.f32 (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))))))) (*.f32 alphax (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))))) (/.f32 (*.f32 (*.f32 alphay u1) (-.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (fma.f32 #s(literal -4 binary32) (/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (pow.f32 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))) (*.f32 #s(literal 2 binary32) (+.f32 (PI.f32) (/.f32 (*.f32 (PI.f32) (pow.f32 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))) (pow.f32 (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32)))))) (pow.f32 (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal 2 binary32) (+.f32 (PI.f32) (/.f32 (*.f32 (PI.f32) (pow.f32 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))) (pow.f32 (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))))) (/.f32 (*.f32 #s(literal 4/3 binary32) (*.f32 (pow.f32 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (pow.f32 (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))))))) alphax)) (/.f32 (*.f32 alphay (*.f32 #s(literal 2 binary32) (+.f32 (PI.f32) (/.f32 (*.f32 (PI.f32) (pow.f32 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))) (pow.f32 (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32)))))) alphax)) (/.f32 (*.f32 alphay (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (*.f32 alphax (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))
(/.f32 (*.f32 alphay (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (*.f32 alphax (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))
(/.f32 (*.f32 alphay (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (*.f32 alphax (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))
(/.f32 (*.f32 alphay (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (*.f32 alphax (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))
(/.f32 (*.f32 alphay (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (*.f32 alphax (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))
(/ (* alphay (sin (* (PI) (- 1/2 (* -2 u1))))) (* alphax (cos (* (PI) (- 1/2 (* -2 u1))))))
(/.f32 (*.f32 alphay (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (*.f32 alphax (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))
(/ (* alphay (sin (* (PI) (- 1/2 (* -2 u1))))) (* alphax (cos (* (PI) (- 1/2 (* -2 u1))))))
(/.f32 (*.f32 alphay (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (*.f32 alphax (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))
(/ (* alphay (sin (* (PI) (- 1/2 (* -2 u1))))) (* alphax (cos (* (PI) (- 1/2 (* -2 u1))))))
(/.f32 (*.f32 alphay (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (*.f32 alphax (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))
(/ (* alphay (sin (* (PI) (- 1/2 (* -2 u1))))) (* alphax (cos (* (PI) (- 1/2 (* -2 u1))))))
(/.f32 (*.f32 alphay (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (*.f32 alphax (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))
(/.f32 (*.f32 alphay (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (*.f32 alphax (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))
(/.f32 (*.f32 alphay (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (*.f32 alphax (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))
(/.f32 (*.f32 alphay (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (*.f32 alphax (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))
(/.f32 (*.f32 alphay (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (*.f32 alphax (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))
(/.f32 (*.f32 alphay (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (*.f32 alphax (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))
(/.f32 (*.f32 alphay (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (*.f32 alphax (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))
(/.f32 (*.f32 alphay (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (*.f32 alphax (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))
(/.f32 (*.f32 alphay (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (*.f32 alphax (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))
(/.f32 (*.f32 alphay (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (*.f32 alphax (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))
(/.f32 (*.f32 alphay (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (*.f32 alphax (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))
(/.f32 (*.f32 alphay (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (*.f32 alphax (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))
(/.f32 (*.f32 alphay (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (*.f32 alphax (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))
(/.f32 (*.f32 alphay (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (*.f32 alphax (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))
(/.f32 (*.f32 alphay (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (*.f32 alphax (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))
(/.f32 (*.f32 alphay (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (*.f32 alphax (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))
(/.f32 (*.f32 alphay (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (*.f32 alphax (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))
(/.f32 (*.f32 alphay (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (*.f32 alphax (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))
(/.f32 (*.f32 alphay (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (*.f32 alphax (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))
(/.f32 (*.f32 alphay (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (*.f32 alphax (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))
(/.f32 (*.f32 alphay (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (*.f32 alphax (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))
(/.f32 (*.f32 alphay (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (*.f32 alphax (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))
(/.f32 (*.f32 alphay (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (*.f32 alphax (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))
(/.f32 (*.f32 alphay (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (*.f32 alphax (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))
(/.f32 (*.f32 alphay (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (*.f32 alphax (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))

eval355.0ms (1.6%)

Memory
30.7MiB live, 495.5MiB allocated
Compiler

Compiled 122 797 to 8 799 computations (92.8% saved)

prune219.0ms (1%)

Memory
-2.0MiB live, 601.9MiB allocated
Pruning

20 alts after pruning (20 fresh and 0 done)

PrunedKeptTotal
New1 764201 784
Fresh000
Picked303
Done000
Total1 767201 787
Accuracy
100.0%
Counts
1 787 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.2%
(fma.f32 (*.f32 alphay alphay) (/.f32 (neg.f32 u0) (*.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))) (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32))
96.1%
(fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) u0) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))) #s(literal 2 binary32))) #s(literal 1 binary32))
97.1%
(fma.f32 #s(literal -1/2 binary32) (/.f32 u0 (fma.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))) (*.f32 alphay alphay)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 alphax alphax) (fma.f32 (*.f32 alphay alphay) (/.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)) (*.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)))) #s(literal 1 binary32)))))) #s(literal 1 binary32))
50.7%
(pow.f32 (fma.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))) (/.f32 (*.f32 alphax (*.f32 alphax u0)) (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32)) #s(literal -1/2 binary32))
98.4%
(pow.f32 (fma.f32 (*.f32 alphay alphay) (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))))) #s(literal 1 binary32)) #s(literal -1/2 binary32))
99.9%
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))) (*.f32 alphax alphax))) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))) (*.f32 alphay alphay))) (-.f32 #s(literal 1 binary32) u0)))) #s(literal -1/2 binary32))
95.8%
(/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) u0) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))) #s(literal 2 binary32))) #s(literal 1 binary32)))
97.6%
(/.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (fma.f32 (*.f32 alphay alphay) (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))))) #s(literal 1 binary32)) #s(literal 1/4 binary32)) #s(literal 2 binary32)))
50.8%
(/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 (/.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) u0)) (*.f32 alphax (*.f32 alphax u0)) #s(literal 1 binary32))))
98.0%
(/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))))) (*.f32 alphay alphay) #s(literal 1 binary32))))
95.8%
(/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 (*.f32 alphay alphay) (/.f32 u0 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))) #s(literal 2 binary32))) #s(literal 1 binary32))))
97.8%
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) u0) (*.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0))))))
88.9%
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 u0 (*.f32 alphax alphax)) (*.f32 (-.f32 #s(literal 1 binary32) u0) (pow.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (*.f32 #s(literal 2 binary32) u1) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32)))))))
40.8%
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 u0 (*.f32 alphax alphax)) (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))))))))))
94.3%
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (fma.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))) (*.f32 alphay alphay)) (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax))))))))
99.4%
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))) (*.f32 alphay alphay)) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))) (*.f32 alphax alphax)))))))))
98.4%
(sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 2 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) u0) (*.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))) (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32))))
98.4%
(exp.f32 (*.f32 (log1p.f32 (/.f32 (*.f32 alphay (*.f32 alphay u0)) (*.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32)))))))) #s(literal -1/2 binary32)))
100.0%
(exp.f32 (*.f32 (log1p.f32 (/.f32 u0 (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))) (*.f32 alphax alphax))) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))) (*.f32 alphay alphay))) (-.f32 #s(literal 1 binary32) u0)))) #s(literal -1/2 binary32)))
92.8%
#s(literal 1 binary32)
Compiler

Compiled 1 532 to 962 computations (37.2% saved)

simplify270.0ms (1.2%)

Memory
-4.5MiB live, 560.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f32 (*.f32 (*.f32 alphay alphay) u0) (*.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0)))
cost-diff0
(sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) u0) (*.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0)))))
cost-diff0
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) u0) (*.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0))))))
cost-diff64
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) u0) (*.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0))))
cost-diff0
(/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (fma.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))) (*.f32 alphay alphay)) (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)))))
cost-diff0
(+.f32 #s(literal 1 binary32) (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (fma.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))) (*.f32 alphay alphay)) (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax))))))
cost-diff0
(sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (fma.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))) (*.f32 alphay alphay)) (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)))))))
cost-diff0
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (fma.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))) (*.f32 alphay alphay)) (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax))))))))
cost-diff0
(neg.f32 u0)
cost-diff0
(*.f32 alphay alphay)
cost-diff0
(fma.f32 (*.f32 alphay alphay) (/.f32 (neg.f32 u0) (*.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))) (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32))
cost-diff64
(/.f32 (neg.f32 u0) (*.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))) (-.f32 #s(literal 1 binary32) u0)))
cost-diff0
(log1p.f32 (/.f32 u0 (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))) (*.f32 alphax alphax))) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))) (*.f32 alphay alphay))) (-.f32 #s(literal 1 binary32) u0))))
cost-diff0
(*.f32 (log1p.f32 (/.f32 u0 (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))) (*.f32 alphax alphax))) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))) (*.f32 alphay alphay))) (-.f32 #s(literal 1 binary32) u0)))) #s(literal -1/2 binary32))
cost-diff64
(*.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))) (*.f32 alphax alphax))
cost-diff3232
(exp.f32 (*.f32 (log1p.f32 (/.f32 u0 (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))) (*.f32 alphax alphax))) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))) (*.f32 alphay alphay))) (-.f32 #s(literal 1 binary32) u0)))) #s(literal -1/2 binary32)))
Rules
6 578×accelerator-lowering-fma.f32
6 578×accelerator-lowering-fma.f64
4 510×*-lowering-*.f32
4 510×*-lowering-*.f64
2 302×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0641255
11551255
24281254
313451254
449261253
579031253
085381180
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(exp (* (log (+ 1 (/ u0 (* (+ (/ 1 (* (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2)) (* alphax alphax))) (/ (- 1 (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2)))) (* alphay alphay))) (- 1 u0))))) -1/2))
(* (log (+ 1 (/ u0 (* (+ (/ 1 (* (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2)) (* alphax alphax))) (/ (- 1 (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2)))) (* alphay alphay))) (- 1 u0))))) -1/2)
(log (+ 1 (/ u0 (* (+ (/ 1 (* (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2)) (* alphax alphax))) (/ (- 1 (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2)))) (* alphay alphay))) (- 1 u0)))))
(/ u0 (* (+ (/ 1 (* (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2)) (* alphax alphax))) (/ (- 1 (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2)))) (* alphay alphay))) (- 1 u0)))
u0
(* (+ (/ 1 (* (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2)) (* alphax alphax))) (/ (- 1 (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2)))) (* alphay alphay))) (- 1 u0))
(+ (/ 1 (* (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2)) (* alphax alphax))) (/ (- 1 (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2)))) (* alphay alphay)))
(/ 1 (* (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2)) (* alphax alphax)))
1
(* (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2)) (* alphax alphax))
(+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2))
(pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2)
(* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2))))
(/ alphay alphax)
alphay
alphax
(tan (* (PI) (+ (* 2 u1) 1/2)))
(* (PI) (+ (* 2 u1) 1/2))
(PI)
(+ (* 2 u1) 1/2)
2
u1
1/2
(* alphax alphax)
(/ (- 1 (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2)))) (* alphay alphay))
(- 1 (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2))))
(/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2)))
(* alphay alphay)
(- 1 u0)
-1/2
1
(+ (* (* alphay alphay) (/ (neg u0) (* (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax))))) (- 1 u0)))) 1)
(* alphay alphay)
alphay
(/ (neg u0) (* (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax))))) (- 1 u0)))
(neg u0)
u0
(* (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax))))) (- 1 u0))
(- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax)))))
1
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax))))
(* 2 (atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax)))
2
(atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax))
(/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax)
(* alphay (tan (* (PI) (+ (* 2 u1) 1/2))))
(tan (* (PI) (+ (* 2 u1) 1/2)))
(* (PI) (+ (* 2 u1) 1/2))
(PI)
(+ (* 2 u1) 1/2)
u1
1/2
alphax
(- 1 u0)
(/ 1 (sqrt (+ 1 (/ u0 (* (- 1 u0) (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax))))) (* alphay alphay))) (/ 1 (* alphax alphax))))))))
1
(sqrt (+ 1 (/ u0 (* (- 1 u0) (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax))))) (* alphay alphay))) (/ 1 (* alphax alphax)))))))
(+ 1 (/ u0 (* (- 1 u0) (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax))))) (* alphay alphay))) (/ 1 (* alphax alphax))))))
(/ u0 (* (- 1 u0) (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax))))) (* alphay alphay))) (/ 1 (* alphax alphax)))))
u0
(* (- 1 u0) (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax))))) (* alphay alphay))) (/ 1 (* alphax alphax))))
(- 1 u0)
(+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax))))) (* alphay alphay))) (/ 1 (* alphax alphax)))
1/2
(/ (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax))))) (* alphay alphay))
(- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax)))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax))))
(* 2 (atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax)))
2
(atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax))
(/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax)
(* alphay (tan (* (PI) (+ (* 2 u1) 1/2))))
alphay
(tan (* (PI) (+ (* 2 u1) 1/2)))
(* (PI) (+ (* 2 u1) 1/2))
(PI)
(+ (* 2 u1) 1/2)
u1
alphax
(* alphay alphay)
(/ 1 (* alphax alphax))
(* alphax alphax)
(/ 1 (sqrt (+ 1 (/ (* (* alphay alphay) u0) (* (pow (sin (atan (* (tan (* 1/2 (PI))) (/ alphay alphax)))) 2) (- 1 u0))))))
1
(sqrt (+ 1 (/ (* (* alphay alphay) u0) (* (pow (sin (atan (* (tan (* 1/2 (PI))) (/ alphay alphax)))) 2) (- 1 u0)))))
(+ 1 (/ (* (* alphay alphay) u0) (* (pow (sin (atan (* (tan (* 1/2 (PI))) (/ alphay alphax)))) 2) (- 1 u0))))
(/ (* (* alphay alphay) u0) (* (pow (sin (atan (* (tan (* 1/2 (PI))) (/ alphay alphax)))) 2) (- 1 u0)))
(* (* alphay alphay) u0)
(* alphay alphay)
alphay
u0
(* (pow (sin (atan (* (tan (* 1/2 (PI))) (/ alphay alphax)))) 2) (- 1 u0))
(pow (sin (atan (* (tan (* 1/2 (PI))) (/ alphay alphax)))) 2)
(sin (atan (* (tan (* 1/2 (PI))) (/ alphay alphax))))
(atan (* (tan (* 1/2 (PI))) (/ alphay alphax)))
(* (tan (* 1/2 (PI))) (/ alphay alphax))
(tan (* 1/2 (PI)))
(* 1/2 (PI))
1/2
(PI)
(/ alphay alphax)
alphax
2
(- 1 u0)
Outputs
(exp (* (log (+ 1 (/ u0 (* (+ (/ 1 (* (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2)) (* alphax alphax))) (/ (- 1 (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2)))) (* alphay alphay))) (- 1 u0))))) -1/2))
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax (fma.f32 alphax (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32)) alphax))) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))) (*.f32 alphay alphay))) (-.f32 #s(literal 1 binary32) u0)))) #s(literal -1/2 binary32))
(* (log (+ 1 (/ u0 (* (+ (/ 1 (* (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2)) (* alphax alphax))) (/ (- 1 (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2)))) (* alphay alphay))) (- 1 u0))))) -1/2)
(*.f32 (log1p.f32 (/.f32 u0 (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax (fma.f32 alphax (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32)) alphax))) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))) (*.f32 alphay alphay))) (-.f32 #s(literal 1 binary32) u0)))) #s(literal -1/2 binary32))
(log (+ 1 (/ u0 (* (+ (/ 1 (* (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2)) (* alphax alphax))) (/ (- 1 (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2)))) (* alphay alphay))) (- 1 u0)))))
(log1p.f32 (/.f32 u0 (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax (fma.f32 alphax (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32)) alphax))) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))) (*.f32 alphay alphay))) (-.f32 #s(literal 1 binary32) u0))))
(/ u0 (* (+ (/ 1 (* (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2)) (* alphax alphax))) (/ (- 1 (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2)))) (* alphay alphay))) (- 1 u0)))
(/.f32 u0 (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax (fma.f32 alphax (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32)) alphax))) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))) (*.f32 alphay alphay))) (-.f32 #s(literal 1 binary32) u0)))
u0
(* (+ (/ 1 (* (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2)) (* alphax alphax))) (/ (- 1 (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2)))) (* alphay alphay))) (- 1 u0))
(*.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax (fma.f32 alphax (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32)) alphax))) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))) (*.f32 alphay alphay))) (-.f32 #s(literal 1 binary32) u0))
(+ (/ 1 (* (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2)) (* alphax alphax))) (/ (- 1 (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2)))) (* alphay alphay)))
(+.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax (fma.f32 alphax (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32)) alphax))) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))) (*.f32 alphay alphay)))
(/ 1 (* (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2)) (* alphax alphax)))
(/.f32 #s(literal 1 binary32) (*.f32 alphax (fma.f32 alphax (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32)) alphax)))
1
#s(literal 1 binary32)
(* (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2)) (* alphax alphax))
(*.f32 alphax (fma.f32 alphax (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32)) alphax))
(+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2))
(+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32)))
(pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2)
(pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))
(* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2))))
(*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))
(/ alphay alphax)
(/.f32 alphay alphax)
alphay
alphax
(tan (* (PI) (+ (* 2 u1) 1/2)))
(tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))
(* (PI) (+ (* 2 u1) 1/2))
(*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))
(PI)
(PI.f32)
(+ (* 2 u1) 1/2)
(fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))
2
#s(literal 2 binary32)
u1
1/2
#s(literal 1/2 binary32)
(* alphax alphax)
(*.f32 alphax alphax)
(/ (- 1 (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2)))) (* alphay alphay))
(/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))) (*.f32 alphay alphay))
(- 1 (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2))))
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32)))))
(/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))
(* alphay alphay)
(*.f32 alphay alphay)
(- 1 u0)
(-.f32 #s(literal 1 binary32) u0)
-1/2
#s(literal -1/2 binary32)
1
#s(literal 1 binary32)
(+ (* (* alphay alphay) (/ (neg u0) (* (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax))))) (- 1 u0)))) 1)
(fma.f32 u0 (/.f32 (*.f32 alphay alphay) (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) #s(literal -1 binary32)))) #s(literal 1 binary32))
(* alphay alphay)
(*.f32 alphay alphay)
alphay
(/ (neg u0) (* (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax))))) (- 1 u0)))
(/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) #s(literal -1 binary32))))
(neg u0)
(neg.f32 u0)
u0
(* (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax))))) (- 1 u0))
(*.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))))))
(- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax)))))
(-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))))
1
#s(literal 1 binary32)
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax))))
(cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))))
(* 2 (atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax)))
(*.f32 #s(literal 2 binary32) (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))
2
#s(literal 2 binary32)
(atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax))
(atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))
(/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax)
(*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))
(* alphay (tan (* (PI) (+ (* 2 u1) 1/2))))
(*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))
(tan (* (PI) (+ (* 2 u1) 1/2)))
(tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))
(* (PI) (+ (* 2 u1) 1/2))
(*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))
(PI)
(PI.f32)
(+ (* 2 u1) 1/2)
(fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))
u1
1/2
#s(literal 1/2 binary32)
alphax
(- 1 u0)
(-.f32 #s(literal 1 binary32) u0)
(/ 1 (sqrt (+ 1 (/ u0 (* (- 1 u0) (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax))))) (* alphay alphay))) (/ 1 (* alphax alphax))))))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (fma.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))))) (*.f32 alphay alphay)) (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax))))))))
1
#s(literal 1 binary32)
(sqrt (+ 1 (/ u0 (* (- 1 u0) (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax))))) (* alphay alphay))) (/ 1 (* alphax alphax)))))))
(sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (fma.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))))) (*.f32 alphay alphay)) (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)))))))
(+ 1 (/ u0 (* (- 1 u0) (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax))))) (* alphay alphay))) (/ 1 (* alphax alphax))))))
(+.f32 #s(literal 1 binary32) (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (fma.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))))) (*.f32 alphay alphay)) (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax))))))
(/ u0 (* (- 1 u0) (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax))))) (* alphay alphay))) (/ 1 (* alphax alphax)))))
(/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (fma.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))))) (*.f32 alphay alphay)) (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)))))
u0
(* (- 1 u0) (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax))))) (* alphay alphay))) (/ 1 (* alphax alphax))))
(*.f32 (-.f32 #s(literal 1 binary32) u0) (fma.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))))) (*.f32 alphay alphay)) (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax))))
(- 1 u0)
(-.f32 #s(literal 1 binary32) u0)
(+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax))))) (* alphay alphay))) (/ 1 (* alphax alphax)))
(fma.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))))) (*.f32 alphay alphay)) (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)))
1/2
#s(literal 1/2 binary32)
(/ (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax))))) (* alphay alphay))
(/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))))) (*.f32 alphay alphay))
(- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax)))))
(-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax))))
(cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))))
(* 2 (atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax)))
(*.f32 #s(literal 2 binary32) (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))
2
#s(literal 2 binary32)
(atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax))
(atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))
(/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax)
(*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))
(* alphay (tan (* (PI) (+ (* 2 u1) 1/2))))
(*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))
alphay
(tan (* (PI) (+ (* 2 u1) 1/2)))
(tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))
(* (PI) (+ (* 2 u1) 1/2))
(*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))
(PI)
(PI.f32)
(+ (* 2 u1) 1/2)
(fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))
u1
alphax
(* alphay alphay)
(*.f32 alphay alphay)
(/ 1 (* alphax alphax))
(/.f32 #s(literal 1 binary32) (*.f32 alphax alphax))
(* alphax alphax)
(*.f32 alphax alphax)
(/ 1 (sqrt (+ 1 (/ (* (* alphay alphay) u0) (* (pow (sin (atan (* (tan (* 1/2 (PI))) (/ alphay alphax)))) 2) (- 1 u0))))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 u0 (/.f32 (*.f32 alphay alphay) (*.f32 (-.f32 #s(literal 1 binary32) u0) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))))) #s(literal 2 binary32)))) #s(literal 1 binary32))))
1
#s(literal 1 binary32)
(sqrt (+ 1 (/ (* (* alphay alphay) u0) (* (pow (sin (atan (* (tan (* 1/2 (PI))) (/ alphay alphax)))) 2) (- 1 u0)))))
(sqrt.f32 (fma.f32 u0 (/.f32 (*.f32 alphay alphay) (*.f32 (-.f32 #s(literal 1 binary32) u0) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))))) #s(literal 2 binary32)))) #s(literal 1 binary32)))
(+ 1 (/ (* (* alphay alphay) u0) (* (pow (sin (atan (* (tan (* 1/2 (PI))) (/ alphay alphax)))) 2) (- 1 u0))))
(fma.f32 u0 (/.f32 (*.f32 alphay alphay) (*.f32 (-.f32 #s(literal 1 binary32) u0) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))))) #s(literal 2 binary32)))) #s(literal 1 binary32))
(/ (* (* alphay alphay) u0) (* (pow (sin (atan (* (tan (* 1/2 (PI))) (/ alphay alphax)))) 2) (- 1 u0)))
(/.f32 (*.f32 u0 (*.f32 alphay alphay)) (*.f32 (-.f32 #s(literal 1 binary32) u0) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))))) #s(literal 2 binary32))))
(* (* alphay alphay) u0)
(*.f32 u0 (*.f32 alphay alphay))
(* alphay alphay)
(*.f32 alphay alphay)
alphay
u0
(* (pow (sin (atan (* (tan (* 1/2 (PI))) (/ alphay alphax)))) 2) (- 1 u0))
(*.f32 (-.f32 #s(literal 1 binary32) u0) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))))) #s(literal 2 binary32)))
(pow (sin (atan (* (tan (* 1/2 (PI))) (/ alphay alphax)))) 2)
(pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))))) #s(literal 2 binary32))
(sin (atan (* (tan (* 1/2 (PI))) (/ alphay alphax))))
(sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))))))
(atan (* (tan (* 1/2 (PI))) (/ alphay alphax)))
(atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))))
(* (tan (* 1/2 (PI))) (/ alphay alphax))
(*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))))
(tan (* 1/2 (PI)))
(tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))
(* 1/2 (PI))
(*.f32 (PI.f32) #s(literal 1/2 binary32))
1/2
#s(literal 1/2 binary32)
(PI)
(PI.f32)
(/ alphay alphax)
(/.f32 alphay alphax)
alphax
2
#s(literal 2 binary32)
(- 1 u0)
(-.f32 #s(literal 1 binary32) u0)

localize1.4s (6.2%)

Memory
21.6MiB live, 2 054.4MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) u0) (*.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0)))))
accuracy100.0%
(sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (/.f32 alphay alphax))))
accuracy100.0%
(atan.f32 (*.f32 (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (/.f32 alphay alphax)))
accuracy6.3%
(PI.f32)
accuracy100.0%
(sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (fma.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))) (*.f32 alphay alphay)) (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)))))))
accuracy100.0%
(cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))
accuracy100.0%
(atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))
accuracy6.3%
(PI.f32)
accuracy100.0%
(neg.f32 u0)
accuracy100.0%
(cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))
accuracy100.0%
(atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))
accuracy6.3%
(PI.f32)
accuracy100.0%
(tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))
accuracy100.0%
(log1p.f32 (/.f32 u0 (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))) (*.f32 alphax alphax))) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))) (*.f32 alphay alphay))) (-.f32 #s(literal 1 binary32) u0))))
accuracy100.0%
(exp.f32 (*.f32 (log1p.f32 (/.f32 u0 (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))) (*.f32 alphax alphax))) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))) (*.f32 alphay alphay))) (-.f32 #s(literal 1 binary32) u0)))) #s(literal -1/2 binary32)))
accuracy6.3%
(PI.f32)
Samples
1.1s256×4exit
Compiler

Compiled 1 195 to 65 computations (94.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 932.0ms
ival-mult: 194.0ms (20.8% of total)
adjust: 176.0ms (18.9% of total)
ival-tan: 125.0ms (13.4% of total)
ival-div: 94.0ms (10.1% of total)
ival-add: 81.0ms (8.7% of total)
ival-cos: 64.0ms (6.9% of total)
ival-sin: 53.0ms (5.7% of total)
ival-atan: 48.0ms (5.2% of total)
ival-pow2: 31.0ms (3.3% of total)
ival-log1p: 23.0ms (2.5% of total)
ival-sub: 14.0ms (1.5% of total)
ival-sqrt: 12.0ms (1.3% of total)
ival-exp: 10.0ms (1.1% of total)
ival-pi: 4.0ms (0.4% of total)
exact: 2.0ms (0.2% of total)
ival-neg: 1.0ms (0.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series792.0ms (3.5%)

Memory
11.0MiB live, 1 683.5MiB allocated
Counts
22 → 768
Calls
Call 1
Inputs
#<alt (exp (* (log (+ 1 (/ u0 (* (+ (/ 1 (* (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2)) (* alphax alphax))) (/ (- 1 (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2)))) (* alphay alphay))) (- 1 u0))))) -1/2))>
#<alt (* (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2)) (* alphax alphax))>
#<alt (* (log (+ 1 (/ u0 (* (+ (/ 1 (* (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2)) (* alphax alphax))) (/ (- 1 (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2)))) (* alphay alphay))) (- 1 u0))))) -1/2)>
#<alt (log (+ 1 (/ u0 (* (+ (/ 1 (* (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2)) (* alphax alphax))) (/ (- 1 (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2)))) (* alphay alphay))) (- 1 u0)))))>
#<alt (/ (neg u0) (* (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax))))) (- 1 u0)))>
#<alt (+ (* (* alphay alphay) (/ (neg u0) (* (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax))))) (- 1 u0)))) 1)>
#<alt (* alphay alphay)>
#<alt (neg u0)>
#<alt (/ 1 (sqrt (+ 1 (/ u0 (* (- 1 u0) (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax))))) (* alphay alphay))) (/ 1 (* alphax alphax))))))))>
#<alt (sqrt (+ 1 (/ u0 (* (- 1 u0) (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax))))) (* alphay alphay))) (/ 1 (* alphax alphax)))))))>
#<alt (+ 1 (/ u0 (* (- 1 u0) (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax))))) (* alphay alphay))) (/ 1 (* alphax alphax))))))>
#<alt (/ u0 (* (- 1 u0) (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax))))) (* alphay alphay))) (/ 1 (* alphax alphax)))))>
#<alt (+ 1 (/ (* (* alphay alphay) u0) (* (pow (sin (atan (* (tan (* 1/2 (PI))) (/ alphay alphax)))) 2) (- 1 u0))))>
#<alt (/ 1 (sqrt (+ 1 (/ (* (* alphay alphay) u0) (* (pow (sin (atan (* (tan (* 1/2 (PI))) (/ alphay alphax)))) 2) (- 1 u0))))))>
#<alt (sqrt (+ 1 (/ (* (* alphay alphay) u0) (* (pow (sin (atan (* (tan (* 1/2 (PI))) (/ alphay alphax)))) 2) (- 1 u0)))))>
#<alt (/ (* (* alphay alphay) u0) (* (pow (sin (atan (* (tan (* 1/2 (PI))) (/ alphay alphax)))) 2) (- 1 u0)))>
#<alt (PI)>
#<alt (tan (* (PI) (+ (* 2 u1) 1/2)))>
#<alt (atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax))>
#<alt (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax))))>
#<alt (atan (* (tan (* 1/2 (PI))) (/ alphay alphax)))>
#<alt (sin (atan (* (tan (* 1/2 (PI))) (/ alphay alphax))))>
Outputs
#<alt 1>
#<alt (+ 1 (* -1/2 (/ u0 (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))))>
#<alt (+ 1 (* u0 (- (* 1/2 (* u0 (- (* 3/4 (/ 1 (pow (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) 2))) (/ 1 (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))))) (* 1/2 (/ 1 (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))))))>
#<alt (+ 1 (* u0 (- (* u0 (+ (* 1/2 (* u0 (- (* 2 (/ 1 (pow (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) 2))) (+ (* -1/2 (/ (- (* 3/4 (/ 1 (pow (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) 2))) (/ 1 (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))) (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))) (+ (/ 1 (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))))) (/ 1 (pow (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) 3))))))) (* 1/2 (- (* 3/4 (/ 1 (pow (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) 2))) (/ 1 (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))))))))) (* 1/2 (/ 1 (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))))))>
#<alt (sqrt (/ 1 (- 1 (/ 1 (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))))))))>
#<alt (+ (sqrt (/ 1 (- 1 (/ 1 (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))))) (* 1/2 (* (/ 1 (* u0 (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))) (sqrt (/ 1 (pow (- 1 (/ 1 (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))) 3))))))>
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2))))) (* 2 (/ (* (pow alphay 2) (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (* (pow alphax 4) (* (cos (* 1/2 (PI))) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2)))))) 2)) (* (pow (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))))))) 2) (* (pow (- 1 u0) 2) (pow (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))))) 4)))))))))))>
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#<alt (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))>
#<alt (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))>
#<alt (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))>
#<alt (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))>
#<alt (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))>
#<alt (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))>
#<alt (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))>
#<alt (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))>
#<alt (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))>
#<alt (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))>
#<alt (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))>
#<alt (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))>
#<alt (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))>
#<alt (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))>
#<alt (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))>
#<alt (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))>
#<alt (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))>
#<alt (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))>
#<alt (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))>
#<alt (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))>
#<alt (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))>
#<alt (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))>
#<alt (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))>
#<alt (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))>
#<alt (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))>
#<alt (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))>
#<alt (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))>
#<alt (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))>
#<alt (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))>
#<alt (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))>
#<alt (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))>
#<alt (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))>
#<alt (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))>
#<alt (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))>
#<alt (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))>
#<alt (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))>
#<alt (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))>
#<alt (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))>
#<alt (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))>
#<alt (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))>
#<alt (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))>
#<alt (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))>
#<alt (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))>
#<alt (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))>
#<alt (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))>
#<alt (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))>
#<alt (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))>
#<alt (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))>
#<alt (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))>
#<alt (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))>
#<alt (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))>
#<alt (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))>
Calls

192 calls:

TimeVariablePointExpression
116.0ms
u1
@-inf
(/ 1 (sqrt (+ 1 (/ u0 (* (- 1 u0) (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax))))) (* alphay alphay))) (/ 1 (* alphax alphax))))))))
69.0ms
u1
@0
(exp (* (log (+ 1 (/ u0 (* (+ (/ 1 (* (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2)) (* alphax alphax))) (/ (- 1 (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2)))) (* alphay alphay))) (- 1 u0))))) -1/2))
66.0ms
alphax
@0
(exp (* (log (+ 1 (/ u0 (* (+ (/ 1 (* (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2)) (* alphax alphax))) (/ (- 1 (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2)))) (* alphay alphay))) (- 1 u0))))) -1/2))
64.0ms
u1
@inf
(* (log (+ 1 (/ u0 (* (+ (/ 1 (* (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2)) (* alphax alphax))) (/ (- 1 (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2)))) (* alphay alphay))) (- 1 u0))))) -1/2)
48.0ms
u1
@-inf
(* (log (+ 1 (/ u0 (* (+ (/ 1 (* (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2)) (* alphax alphax))) (/ (- 1 (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2)))) (* alphay alphay))) (- 1 u0))))) -1/2)

rewrite313.0ms (1.4%)

Memory
-7.4MiB live, 581.3MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 232×*-lowering-*.f32
5 232×*-lowering-*.f64
2 912×accelerator-lowering-fma.f32
2 912×accelerator-lowering-fma.f64
2 814×pow-lowering-pow.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
064561
1407545
24211537
08153505
Stop Event
iter limit
node limit
Counts
22 → 426
Calls
Call 1
Inputs
(exp (* (log (+ 1 (/ u0 (* (+ (/ 1 (* (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2)) (* alphax alphax))) (/ (- 1 (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2)))) (* alphay alphay))) (- 1 u0))))) -1/2))
(* (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2)) (* alphax alphax))
(* (log (+ 1 (/ u0 (* (+ (/ 1 (* (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2)) (* alphax alphax))) (/ (- 1 (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2)))) (* alphay alphay))) (- 1 u0))))) -1/2)
(log (+ 1 (/ u0 (* (+ (/ 1 (* (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2)) (* alphax alphax))) (/ (- 1 (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2)))) (* alphay alphay))) (- 1 u0)))))
(/ (neg u0) (* (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax))))) (- 1 u0)))
(+ (* (* alphay alphay) (/ (neg u0) (* (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax))))) (- 1 u0)))) 1)
(* alphay alphay)
(neg u0)
(/ 1 (sqrt (+ 1 (/ u0 (* (- 1 u0) (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax))))) (* alphay alphay))) (/ 1 (* alphax alphax))))))))
(sqrt (+ 1 (/ u0 (* (- 1 u0) (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax))))) (* alphay alphay))) (/ 1 (* alphax alphax)))))))
(+ 1 (/ u0 (* (- 1 u0) (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax))))) (* alphay alphay))) (/ 1 (* alphax alphax))))))
(/ u0 (* (- 1 u0) (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax))))) (* alphay alphay))) (/ 1 (* alphax alphax)))))
(+ 1 (/ (* (* alphay alphay) u0) (* (pow (sin (atan (* (tan (* 1/2 (PI))) (/ alphay alphax)))) 2) (- 1 u0))))
(/ 1 (sqrt (+ 1 (/ (* (* alphay alphay) u0) (* (pow (sin (atan (* (tan (* 1/2 (PI))) (/ alphay alphax)))) 2) (- 1 u0))))))
(sqrt (+ 1 (/ (* (* alphay alphay) u0) (* (pow (sin (atan (* (tan (* 1/2 (PI))) (/ alphay alphax)))) 2) (- 1 u0)))))
(/ (* (* alphay alphay) u0) (* (pow (sin (atan (* (tan (* 1/2 (PI))) (/ alphay alphax)))) 2) (- 1 u0)))
(PI)
(tan (* (PI) (+ (* 2 u1) 1/2)))
(atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax))))
(atan (* (tan (* 1/2 (PI))) (/ alphay alphax)))
(sin (atan (* (tan (* 1/2 (PI))) (/ alphay alphax))))
Outputs
(exp.f32 (*.f32 (log1p.f32 (/.f32 u0 (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 alphax alphax (pow.f32 (*.f32 alphax (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))) #s(literal 2 binary32)))) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))) (*.f32 alphay alphay))) (-.f32 #s(literal 1 binary32) u0)))) #s(literal -1/2 binary32)))
(exp.f32 (*.f32 (log.f32 (exp.f32 #s(literal -1/2 binary32))) (log1p.f32 (/.f32 u0 (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 alphax alphax (pow.f32 (*.f32 alphax (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))) #s(literal 2 binary32)))) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))) (*.f32 alphay alphay))) (-.f32 #s(literal 1 binary32) u0))))))
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 alphax alphax (pow.f32 (*.f32 alphax (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))) #s(literal 2 binary32)))) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))) (*.f32 alphay alphay))) (-.f32 #s(literal 1 binary32) u0)))) #s(literal -1/2 binary32))
(pow.f32 (exp.f32 #s(literal -1/2 binary32)) (log1p.f32 (/.f32 u0 (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 alphax alphax (pow.f32 (*.f32 alphax (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))) #s(literal 2 binary32)))) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))) (*.f32 alphay alphay))) (-.f32 #s(literal 1 binary32) u0)))))
(pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 alphax alphax (pow.f32 (*.f32 alphax (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))) #s(literal 2 binary32)))) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))) (*.f32 alphay alphay))) (-.f32 #s(literal 1 binary32) u0)))) #s(literal -1/4 binary32)) #s(literal 2 binary32))
(pow.f32 (*.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 alphax alphax (pow.f32 (*.f32 alphax (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))) #s(literal 2 binary32)))) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))) (*.f32 alphay alphay))) (-.f32 #s(literal 1 binary32) u0)))) (+.f32 #s(literal 1 binary32) (/.f32 u0 (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 alphax alphax (pow.f32 (*.f32 alphax (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))) #s(literal 2 binary32)))) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))) (*.f32 alphay alphay))) (-.f32 #s(literal 1 binary32) u0))))) #s(literal -1/4 binary32))
(/.f32 (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (log1p.f32 (pow.f32 (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 alphax alphax (pow.f32 (*.f32 alphax (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))) #s(literal 2 binary32)))) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))) (*.f32 alphay alphay))) (/.f32 (-.f32 #s(literal 1 binary32) u0) u0)) #s(literal -3 binary32)))) (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (log1p.f32 (*.f32 (/.f32 u0 (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 alphax alphax (pow.f32 (*.f32 alphax (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))) #s(literal 2 binary32)))) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))) (*.f32 alphay alphay))) (-.f32 #s(literal 1 binary32) u0))) (-.f32 (/.f32 u0 (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 alphax alphax (pow.f32 (*.f32 alphax (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))) #s(literal 2 binary32)))) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))) (*.f32 alphay alphay))) (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32))))))
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(PI.f32)
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(*.f32 (pow.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) #s(literal 1/3 binary32)) (cbrt.f32 (cbrt.f32 (PI.f32))))
(*.f32 (pow.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32))) #s(literal 1/3 binary32)) (cbrt.f32 (sqrt.f32 (PI.f32))))
(*.f32 (pow.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32))) #s(literal 2 binary32)) (pow.f32 (sqrt.f32 (cbrt.f32 (PI.f32))) #s(literal 2 binary32)))
(log.f32 (exp.f32 (PI.f32)))
(tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))
(pow.f32 (/.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))
(/.f32 (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))
(/.f32 (+.f32 (tan.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u1))) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (-.f32 #s(literal 1 binary32) (*.f32 (tan.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u1))) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))))))
(/.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (neg.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))
(/.f32 (+.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (tan.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u1)))) (-.f32 #s(literal 1 binary32) (*.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (tan.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u1))))))
(*.f32 (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (/.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))
(neg.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (neg.f32 alphax))))
(neg.f32 (atan.f32 (/.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (neg.f32 alphay)) alphax)))
(atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))
(cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))))
(cos.f32 (+.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))) (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))))
(+.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))))) (neg.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))))))))
(+.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))))) (*.f32 (neg.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))))
(fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))) (neg.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))))))))
(fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))) (*.f32 (neg.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))))
(-.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))))))
(/.f32 (-.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))) #s(literal 6 binary32)) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 6 binary32))) (+.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))) #s(literal 4 binary32)) (+.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 4 binary32)) (pow.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) #s(literal 2 binary32)))))
(/.f32 (-.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))) #s(literal 4 binary32)) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 4 binary32))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))))
(*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) #s(literal 1 binary32))
(*.f32 (+.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) (-.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))))
(atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))))
(exp.f32 (*.f32 (log.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))))))) #s(literal 1 binary32)))
(exp.f32 (*.f32 (*.f32 (log.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))))))) #s(literal 1 binary32)) #s(literal 1 binary32)))
(sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))))))
(pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))))) #s(literal 1 binary32))
(pow.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))))))))) #s(literal 1/2 binary32))
(pow.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) #s(literal 2 binary32)))) (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))))) #s(literal -1 binary32))
(pow.f32 (sqrt.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))))))) #s(literal 2 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) #s(literal 2 binary32)))) (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))))))
(/.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (sqrt.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) #s(literal 2 binary32)))))
(/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (*.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) #s(literal 2 binary32)))) alphax))
(/.f32 (neg.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))))) (neg.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) #s(literal 2 binary32))))))
(*.f32 (/.f32 alphay alphax) (/.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) #s(literal 2 binary32))))))
(*.f32 (/.f32 alphay alphax) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) #s(literal 2 binary32))))) #s(literal 1 binary32)))
(*.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 (/.f32 alphay alphax) (sqrt.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) #s(literal 2 binary32))))))
(*.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) #s(literal 2 binary32))))))
(*.f32 (sqrt.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))))))) (sqrt.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))))))))
(*.f32 (pow.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) #s(literal 1 binary32)) (pow.f32 (/.f32 (/.f32 alphay alphax) (sqrt.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) #s(literal 2 binary32))))) #s(literal 1 binary32)))
(*.f32 (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) #s(literal 1 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) #s(literal 2 binary32))))) #s(literal 1 binary32)))
(*.f32 (pow.f32 (sqrt.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))))))) #s(literal 1 binary32)) (pow.f32 (sqrt.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))))))) #s(literal 1 binary32)))

simplify1.0s (4.6%)

Memory
41.1MiB live, 2 085.0MiB allocated
Algorithm
egg-herbie
Rules
7 452×*-lowering-*.f32
7 452×*-lowering-*.f64
5 012×/-lowering-/.f32
5 012×/-lowering-/.f64
3 898×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02356128483
16927128483
08902121092
Stop Event
iter limit
node limit
Counts
768 → 768
Calls
Call 1
Inputs
1
(+ 1 (* -1/2 (/ u0 (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))))
(+ 1 (* u0 (- (* 1/2 (* u0 (- (* 3/4 (/ 1 (pow (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) 2))) (/ 1 (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))))) (* 1/2 (/ 1 (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))))))
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(* (pow (cos (* 1/2 (PI))) 2) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2))))) (/ (pow (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))) 2) (* (pow alphax 2) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2))))) (+ (* -4 (/ (* (pow alphay 4) (* (pow (sin (* 1/2 (PI))) 2) (pow (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))) 2))) (* (pow alphax 6) (* (pow (cos (* 1/2 (PI))) 2) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 3))))) (/ (* (pow alphay 2) (+ (* 4 (/ (* (PI) (* (pow (sin (* 1/2 (PI))) 2) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (pow (cos (* 1/2 (PI))) 2))) (pow (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))) 2))) (* (pow alphax 4) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2)))))) (* (- 1 u0) (pow (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))))) 2)))) (pow (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))))))) 2))) (* 1/4 (/ (* (pow u0 2) (pow (- (* 2 (/ (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))) (* (pow alphax 2) (* (cos (* 1/2 (PI))) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2))))) (* 2 (/ (* (pow alphay 2) (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (* (pow alphax 4) (* (cos (* 1/2 (PI))) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2)))))) 2)) (* (pow (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))))))) 3) (* (pow (- 1 u0) 2) (pow (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))))) 4)))))))) (sqrt (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))))))))))) (* 1/2 (* (/ (* u0 (- (* 2 (/ (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))) (* (pow alphax 2) (* (cos (* 1/2 (PI))) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2))))) (* 2 (/ (* (pow alphay 2) (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (* (pow alphax 4) (* (cos (* 1/2 (PI))) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2))))))) (* (- 1 u0) (pow (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))))) 2))) (sqrt (/ 1 (pow (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))))))) 3))))))))
(+ (sqrt (/ 1 (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))))))))) (* u1 (+ (* 1/2 (* (/ (* u0 (- (* 2 (/ (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))) (* (pow alphax 2) (* (cos (* 1/2 (PI))) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2))))) (* 2 (/ (* (pow alphay 2) (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (* (pow alphax 4) (* (cos (* 1/2 (PI))) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2))))))) (* (- 1 u0) (pow (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))))) 2))) (sqrt (/ 1 (pow (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))))))) 3))))) (* u1 (+ (* -1/2 (* (sqrt (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))))))))) (+ (* -1 (/ (* (pow u0 2) (pow (- (* 2 (/ (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))) (* (pow alphax 2) (* (cos (* 1/2 (PI))) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2))))) (* 2 (/ (* (pow alphay 2) (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (* (pow alphax 4) (* (cos (* 1/2 (PI))) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2)))))) 2)) (* (pow (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))))))) 3) (* (pow (- 1 u0) 2) (pow (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))) (/ 1 (pow alphay 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(* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))))) 3)))) (/ (* u0 (- (+ (* -4 (/ (* (pow alphay 2) (* (pow (sin (* 1/2 (PI))) 2) (pow (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))) 2))) (* (pow alphax 4) (* (pow (cos (* 1/2 (PI))) 2) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 3))))) (+ (* 4 (/ (* (PI) (* (pow (sin (* 1/2 (PI))) 2) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (* (pow alphax 2) (* (pow (cos (* 1/2 (PI))) 2) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2))))) (/ (pow (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))) 2) (* (pow alphax 2) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2))))) (+ (* -4 (/ (* (pow alphay 4) (* (pow (sin (* 1/2 (PI))) 2) (pow (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))) 2))) (* (pow alphax 6) (* (pow (cos (* 1/2 (PI))) 2) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 3))))) (/ (* (pow alphay 2) (+ (* 4 (/ (* (PI) (* (pow (sin (* 1/2 (PI))) 2) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (pow (cos (* 1/2 (PI))) 2))) (pow (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))) 2))) (* (pow alphax 4) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2)))))) (* (- 1 u0) (pow (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))))) 2)))) (pow (+ 1 (/ u0 (* (- 1 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1/2 (PI))) 2)))))) (* (pow alphax 4) (* (cos (* 1/2 (PI))) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2)))))) 2)) (* (- 1 u0) (pow (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))))) 3)))) (/ (* u0 (- (+ (* -4 (/ (* (pow alphay 2) (* (pow (sin (* 1/2 (PI))) 2) (pow (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))) 2))) (* (pow alphax 4) (* (pow (cos (* 1/2 (PI))) 2) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 3))))) (+ (* 4 (/ (* (PI) (* (pow (sin (* 1/2 (PI))) 2) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (* (pow alphax 2) (* (pow (cos (* 1/2 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(pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))))) 4))))))) (- (* 2 (/ (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))) (* (pow alphax 2) (* (cos (* 1/2 (PI))) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2))))) (* 2 (/ (* (pow alphay 2) (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (* (pow alphax 4) (* (cos (* 1/2 (PI))) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2)))))))) (* (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))))))) (* (- 1 u0) (pow (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))))) 2))))) (/ (* u0 (* (+ (* -1 (/ (* (pow u0 2) (pow (- (* 2 (/ (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))) (* (pow alphax 2) (* (cos (* 1/2 (PI))) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2))))) (* 2 (/ (* (pow alphay 2) (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (* (pow alphax 4) (* (cos (* 1/2 (PI))) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2)))))) 2)) (* (pow (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))))))) 3) (* (pow (- 1 u0) 2) (pow (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))))) 4))))) (* -1 (/ (+ (* -1 (/ (* u0 (pow (- (* 2 (/ (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))) (* (pow alphax 2) (* (cos (* 1/2 (PI))) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2))))) (* 2 (/ (* (pow alphay 2) (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (* (pow alphax 4) (* (cos (* 1/2 (PI))) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2)))))) 2)) (* (- 1 u0) (pow (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))))) 3)))) (/ (* u0 (- (+ (* -4 (/ (* (pow alphay 2) (* (pow (sin (* 1/2 (PI))) 2) (pow (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))) 2))) (* (pow alphax 4) (* (pow (cos (* 1/2 (PI))) 2) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 3))))) (+ (* 4 (/ (* (PI) (* (pow (sin (* 1/2 (PI))) 2) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (* (pow alphax 2) (* (pow (cos (* 1/2 (PI))) 2) (pow (+ 1 (/ (* 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(sqrt (/ 1 (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))))))
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(sqrt (/ 1 (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))))))
(sqrt (/ 1 (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (- 1/2 (* -2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (- 1/2 (* -2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (- 1/2 (* -2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (- 1/2 (* -2 u1)))) 2))))))))))))
(sqrt (/ 1 (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (- 1/2 (* -2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (- 1/2 (* -2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (- 1/2 (* -2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (- 1/2 (* -2 u1)))) 2))))))))))))
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(pow alphax 2)
(+ (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow alphax 2))
(+ (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow alphax 2))
(+ (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow alphax 2))
(/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))
(* (pow alphay 2) (+ (/ (pow alphax 2) (pow alphay 2)) (/ (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))
(* (pow alphay 2) (+ (/ (pow alphax 2) (pow alphay 2)) (/ (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))
(* (pow alphay 2) (+ (/ (pow alphax 2) (pow alphay 2)) (/ (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))
(/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))
(* (pow alphay 2) (+ (/ (pow alphax 2) (pow alphay 2)) (/ (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))
(* (pow alphay 2) (+ (/ (pow alphax 2) (pow alphay 2)) (/ (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))
(* (pow alphay 2) (+ (/ (pow alphax 2) (pow alphay 2)) (/ (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))
(/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))
(+ (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow alphax 2))
(+ (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow alphax 2))
(+ (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow alphax 2))
(pow alphax 2)
(* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))
(* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))
(* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))
(pow alphax 2)
(* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))
(* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))
(* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))
(* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))
(+ (* 2 (/ (* (pow alphay 2) (* u1 (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))))) (cos (* 1/2 (PI))))) (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))))
(+ (* u1 (+ (* 2 (/ (* (pow alphay 2) (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (cos (* 1/2 (PI))))) (* (pow alphay 2) (* u1 (+ (* 4 (/ (* (PI) (* (pow (sin (* 1/2 (PI))) 2) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (pow (cos (* 1/2 (PI))) 2))) (pow (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))) 2)))))) (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))))
(+ (* u1 (+ (* 2 (/ (* (pow alphay 2) (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (cos (* 1/2 (PI))))) (* u1 (+ (* (pow alphay 2) (* u1 (+ (* 2 (/ (* (sin (* 1/2 (PI))) (- (* -4/3 (pow (PI) 3)) (+ (* -4 (/ (* (pow (PI) 2) (* (pow (sin (* 1/2 (PI))) 2) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (pow (cos (* 1/2 (PI))) 2))) (+ (* -2 (* (pow (PI) 2) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (* 4/3 (/ (* (pow (PI) 3) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))))) (cos (* 1/2 (PI))))) (* 4 (/ (* (PI) (* (sin (* 1/2 (PI))) (pow (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))) 2))) (cos (* 1/2 (PI)))))))) (* (pow alphay 2) (+ (* 4 (/ (* (PI) (* (pow (sin (* 1/2 (PI))) 2) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (pow (cos (* 1/2 (PI))) 2))) (pow (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))) 2))))))) (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))))
(* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))
(* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))
(* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))
(* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))
(* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (- 1/2 (* -2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (- 1/2 (* -2 u1)))) 2)))))
(* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (- 1/2 (* -2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (- 1/2 (* -2 u1)))) 2)))))
(* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (- 1/2 (* -2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (- 1/2 (* -2 u1)))) 2)))))
(* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (- 1/2 (* -2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (- 1/2 (* -2 u1)))) 2)))))
(* -1/2 (/ u0 (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))))))
(* u0 (- (* -1/4 (* u0 (- (* 2 (/ 1 (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))) (/ 1 (pow (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) 2))))) (* 1/2 (/ 1 (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))))))))
(* u0 (- (* u0 (+ (* -1/4 (- (* 2 (/ 1 (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))) (/ 1 (pow (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) 2)))) (* -1/12 (* u0 (- (+ (* 2 (/ 1 (pow (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) 3))) (* 6 (/ 1 (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))))))) (* 6 (/ 1 (pow (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) 2)))))))) (* 1/2 (/ 1 (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))))))))
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(* -1/2 (log (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))))))
(* -1/2 (log (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))))))
(* -1/2 (log (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))))))
(* -1/2 (log (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (- 1/2 (* -2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (- 1/2 (* -2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (- 1/2 (* -2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (- 1/2 (* -2 u1)))) 2))))))))))))
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(* -1/2 (log (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (- 1/2 (* -2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (- 1/2 (* -2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (- 1/2 (* -2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (- 1/2 (* -2 u1)))) 2))))))))))))
(* -1/2 (log (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (- 1/2 (* -2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (- 1/2 (* -2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (- 1/2 (* -2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (- 1/2 (* -2 u1)))) 2))))))))))))
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1
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1
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(pow alphay 2)
(pow alphay 2)
(pow alphay 2)
(pow alphay 2)
(pow alphay 2)
(pow alphay 2)
(pow alphay 2)
(pow alphay 2)
(pow alphay 2)
(pow alphay 2)
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(pow alphay 2)
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1
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(sqrt (/ 1 (+ 1 (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))))
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))))) (* 2 (* (/ (* (pow alphay 4) u0) (* (pow alphax 2) (* (- 1 u0) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 2)))) (sqrt (/ 1 (pow (+ 1 (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))) 3))))))
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))))) (+ (* -1/2 (* (/ (+ (* -16 (/ (* (pow alphay 8) (pow u0 2)) (* (pow (+ 1 (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))) 3) (* (pow (- 1 u0) 2) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 4))))) (+ (* 4 (/ (* (pow alphay 8) (pow u0 2)) (* (pow (+ 1 (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))) 3) (* (pow (- 1 u0) 2) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 4))))) (* 8 (/ (* (pow alphay 6) u0) (* (pow (+ 1 (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))) 2) (* (- 1 u0) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 3))))))) (pow alphax 4)) (sqrt (+ 1 (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))))) (* 2 (* (/ (* (pow alphay 4) u0) (* (pow alphax 2) (* (- 1 u0) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 2)))) (sqrt (/ 1 (pow (+ 1 (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))) 3)))))))
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))))) (+ (* -1/2 (* (/ (+ (* -16 (/ (* (pow alphay 8) u0) (* (pow (+ 1 (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))) 2) (* (- 1 u0) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 4))))) (+ (* -2 (/ (* (pow alphay 4) (* u0 (+ (* -16 (/ (* (pow alphay 8) (pow u0 2)) (* (pow (+ 1 (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))) 3) (* (pow (- 1 u0) 2) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 4))))) (+ (* 4 (/ (* (pow alphay 8) (pow u0 2)) (* (pow (+ 1 (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))) 3) (* (pow (- 1 u0) 2) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 4))))) (* 8 (/ (* (pow alphay 6) u0) (* (pow (+ 1 (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))) 2) (* (- 1 u0) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 3))))))))) (* (+ 1 (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))) (* (- 1 u0) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 2))))) (+ (* 4 (/ (* (pow alphay 4) (* u0 (+ (* -16 (/ (* (pow alphay 8) (pow u0 2)) (* (pow (+ 1 (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))) 3) (* (pow (- 1 u0) 2) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 4))))) (* 8 (/ (* (pow alphay 6) u0) (* (pow (+ 1 (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))) 2) (* (- 1 u0) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 3)))))))) (* (+ 1 (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))) (* (- 1 u0) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 2))))) (* 32 (/ (* (pow alphay 10) (pow u0 2)) (* (pow (+ 1 (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))) 3) (* (pow (- 1 u0) 2) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 5)))))))) (pow alphax 6)) (sqrt (+ 1 (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))))) (+ (* -1/2 (* (/ (+ (* -16 (/ (* (pow alphay 8) (pow u0 2)) (* (pow (+ 1 (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))) 3) (* (pow (- 1 u0) 2) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 4))))) (+ (* 4 (/ (* (pow alphay 8) (pow u0 2)) (* (pow (+ 1 (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))) 3) (* (pow (- 1 u0) 2) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 4))))) (* 8 (/ (* (pow alphay 6) u0) (* (pow (+ 1 (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))) 2) (* (- 1 u0) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 3))))))) (pow alphax 4)) (sqrt (+ 1 (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))))) (* 2 (* (/ (* (pow alphay 4) u0) (* (pow alphax 2) (* (- 1 u0) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 2)))) (sqrt (/ 1 (pow (+ 1 (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))) 3))))))))
1
(+ 1 (* 1/2 (/ u0 (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) (pow alphay 2))) (/ 1 (pow alphax 2))))))
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(sqrt (- 1 (/ 1 (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) (pow alphay 2))) (/ 1 (pow alphax 2))))))
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1
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1
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(* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))
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(/ (* (pow alphax 2) u0) (- 1 u0))
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(* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))
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1
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(/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (- 1 u0)))
(* (pow alphay 2) (+ (/ 1 (pow alphay 2)) (/ u0 (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (- 1 u0)))))
(* (pow alphay 2) (+ (/ 1 (pow alphay 2)) (/ u0 (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (- 1 u0)))))
(* (pow alphay 2) (+ (/ 1 (pow alphay 2)) (/ u0 (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (- 1 u0)))))
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(* (pow alphay 2) (+ (/ 1 (pow alphay 2)) (/ u0 (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (- 1 u0)))))
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(* (pow alphay 2) (+ (/ 1 (pow alphay 2)) (/ u0 (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (- 1 u0)))))
1
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(sqrt (/ 1 (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (- 1 u0))))))
(sqrt (/ 1 (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (- 1 u0))))))
(sqrt (/ 1 (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (- 1 u0))))))
(sqrt (/ 1 (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (- 1 u0))))))
1
(+ 1 (* 1/2 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (- 1 u0)))))
(+ 1 (* (pow alphay 2) (+ (* -1/8 (/ (* (pow alphay 2) (pow u0 2)) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 4) (pow (- 1 u0) 2)))) (* 1/2 (/ u0 (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (- 1 u0)))))))
(+ 1 (* (pow alphay 2) (+ (* 1/2 (/ u0 (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (- 1 u0)))) (* (pow alphay 2) (+ (* -1/8 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 4) (pow (- 1 u0) 2)))) (* 1/16 (/ (* (pow alphay 2) (pow u0 3)) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 6) (pow (- 1 u0) 3)))))))))
(* (/ alphay (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))) (sqrt (/ u0 (- 1 u0))))
(* alphay (+ (* 1/2 (* (/ (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) (pow alphay 2)) (sqrt (/ (- 1 u0) u0)))) (* (sqrt (/ u0 (- 1 u0))) (/ 1 (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))))))
(* alphay (+ (* -1/8 (* (/ (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 3) (pow alphay 4)) (sqrt (/ (pow (- 1 u0) 3) (pow u0 3))))) (+ (* 1/2 (* (/ (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) (pow alphay 2)) (sqrt (/ (- 1 u0) u0)))) (* (sqrt (/ u0 (- 1 u0))) (/ 1 (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))))))))
(* alphay (+ (* -1/8 (* (/ (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 3) (pow alphay 4)) (sqrt (/ (pow (- 1 u0) 3) (pow u0 3))))) (+ (* 1/16 (* (/ (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 5) (pow alphay 6)) (sqrt (/ (pow (- 1 u0) 5) (pow u0 5))))) (+ (* 1/2 (* (/ (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) (pow alphay 2)) (sqrt (/ (- 1 u0) u0)))) (* (sqrt (/ u0 (- 1 u0))) (/ 1 (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))))))))
(* -1 (* (/ alphay (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))) (sqrt (/ u0 (- 1 u0)))))
(* -1 (* alphay (+ (* 1/2 (* (/ (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) (pow alphay 2)) (sqrt (/ (- 1 u0) u0)))) (* (sqrt (/ u0 (- 1 u0))) (/ 1 (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))))))))
(* -1 (* alphay (+ (* -1/8 (* (/ (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 3) (pow alphay 4)) (sqrt (/ (pow (- 1 u0) 3) (pow u0 3))))) (+ (* 1/2 (* (/ (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) (pow alphay 2)) (sqrt (/ (- 1 u0) u0)))) (* (sqrt (/ u0 (- 1 u0))) (/ 1 (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))))))))
(* -1 (* alphay (+ (* -1/8 (* (/ (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 3) (pow alphay 4)) (sqrt (/ (pow (- 1 u0) 3) (pow u0 3))))) (+ (* 1/16 (* (/ (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 5) (pow alphay 6)) (sqrt (/ (pow (- 1 u0) 5) (pow u0 5))))) (+ (* 1/2 (* (/ (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) (pow alphay 2)) (sqrt (/ (- 1 u0) u0)))) (* (sqrt (/ u0 (- 1 u0))) (/ 1 (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))))))))))
1
(+ 1 (* 1/2 (/ (* (pow alphay 2) u0) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))))
(+ 1 (* u0 (+ (* -1/2 (* u0 (+ (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))) (* 1/4 (/ (pow alphay 4) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 4)))))) (* 1/2 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))))))
(+ 1 (* u0 (+ (* 1/2 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))) (* u0 (+ (* -1/2 (* u0 (+ (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))) (* -1/2 (/ (* (pow alphay 2) (+ (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))) (* 1/4 (/ (pow alphay 4) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 4))))) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2)))))) (* -1/2 (+ (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))) (* 1/4 (/ (pow alphay 4) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 4))))))))))
(sqrt (+ 1 (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2)))))
(+ (sqrt (+ 1 (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))))) (* -1/2 (* (/ (pow alphay 2) (* u0 (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))) (sqrt (/ 1 (+ 1 (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2)))))))))
(+ (sqrt (+ 1 (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))))) (+ (* -1/2 (* (/ (+ (* 1/4 (/ (pow alphay 4) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 4) (+ 1 (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))))))) (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))) (pow u0 2)) (sqrt (/ 1 (+ 1 (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2)))))))) (* -1/2 (* (/ (pow alphay 2) (* u0 (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))) (sqrt (/ 1 (+ 1 (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))))))))))
(+ (sqrt (+ 1 (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))))) (+ (* -1/2 (* (/ (+ (* 1/4 (/ (pow alphay 4) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 4) (+ 1 (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))))))) (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))) (pow u0 2)) (sqrt (/ 1 (+ 1 (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2)))))))) (+ (* -1/2 (* (/ (+ (* 1/2 (/ (* (pow alphay 2) (+ (* 1/4 (/ (pow alphay 4) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 4) (+ 1 (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))))))) (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2)))) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (+ 1 (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))))))) (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))) (pow u0 3)) (sqrt (/ 1 (+ 1 (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2)))))))) (* -1/2 (* (/ (pow alphay 2) (* u0 (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))) (sqrt (/ 1 (+ 1 (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2)))))))))))
(sqrt (+ 1 (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2)))))
(+ (sqrt (+ 1 (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))))) (* -1/2 (* (/ (pow alphay 2) (* u0 (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))) (sqrt (/ 1 (+ 1 (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2)))))))))
(+ (sqrt (+ 1 (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))))) (* -1 (/ (+ (* -1/2 (* (/ (- (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))) (* 1/4 (/ (pow alphay 4) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 4) (+ 1 (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2)))))))) u0) (sqrt (/ 1 (+ 1 (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2)))))))) (* 1/2 (* (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2)) (sqrt (/ 1 (+ 1 (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))))))))) u0)))
(+ (sqrt (+ 1 (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (/ (- (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2)) (* 1/2 (/ (* (pow alphay 2) (- (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))) (* 1/4 (/ (pow alphay 4) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 4) (+ 1 (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))))))))) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (+ 1 (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2)))))))) u0) (sqrt (/ 1 (+ 1 (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2)))))))) (* 1/2 (* (sqrt (/ 1 (+ 1 (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2)))))) (- (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))) (* 1/4 (/ (pow alphay 4) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 4) (+ 1 (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))))))))))) u0)) (* 1/2 (* (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2)) (sqrt (/ 1 (+ 1 (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))))))))) u0)))
(sqrt (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (- 1 u0)))))
(sqrt (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (- 1 u0)))))
(sqrt (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (- 1 u0)))))
(sqrt (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (- 1 u0)))))
(sqrt (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (- 1 u0)))))
(sqrt (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (- 1 u0)))))
(sqrt (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (- 1 u0)))))
(sqrt (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (- 1 u0)))))
(sqrt (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (- 1 u0)))))
(sqrt (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (- 1 u0)))))
(sqrt (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (- 1 u0)))))
(sqrt (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (- 1 u0)))))
(/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (- 1 u0)))
(/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (- 1 u0)))
(/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (- 1 u0)))
(/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (- 1 u0)))
(/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (- 1 u0)))
(/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (- 1 u0)))
(/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (- 1 u0)))
(/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (- 1 u0)))
(/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (- 1 u0)))
(/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (- 1 u0)))
(/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (- 1 u0)))
(/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (- 1 u0)))
(/ (* (pow alphay 2) u0) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))
(* u0 (+ (/ (* (pow alphay 2) u0) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2)) (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))))
(* u0 (+ (* u0 (- (/ (* (pow alphay 2) u0) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2)) (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))))) (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))))
(* u0 (+ (* u0 (- (* u0 (- (/ (* (pow alphay 2) u0) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2)) (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))))) (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))))) (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))))
(* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2)))
(+ (* -1 (/ (pow alphay 2) (* u0 (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2)))) (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))))
(- (+ (* -1 (/ (pow alphay 2) (* (pow u0 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2)))) (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2)))) (/ (pow alphay 2) (* u0 (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))))
(- (+ (* -1 (/ (pow alphay 2) (* (pow u0 3) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2)))) (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2)))) (+ (/ (pow alphay 2) (* u0 (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))) (/ (pow alphay 2) (* (pow u0 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2)))))
(* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2)))
(+ (* -1 (/ (pow alphay 2) (* u0 (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2)))) (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))))
(+ (* -1 (/ (+ (/ (pow alphay 2) (* u0 (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))) (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))) u0)) (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow alphay 2) (* u0 (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2)))) (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2)))) u0)) (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))) u0)) (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))))
(/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (- 1 u0)))
(/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (- 1 u0)))
(/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (- 1 u0)))
(/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (- 1 u0)))
(/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (- 1 u0)))
(/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (- 1 u0)))
(/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (- 1 u0)))
(/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (- 1 u0)))
(/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (- 1 u0)))
(/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (- 1 u0)))
(/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (- 1 u0)))
(/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (- 1 u0)))
(/ (sin (* 1/2 (PI))) (cos (* 1/2 (PI))))
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(+ (* u1 (- (+ (* 2 (PI)) (* 2 (/ (* u1 (* (PI) (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))))) (cos (* 1/2 (PI)))))) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))) (/ (sin (* 1/2 (PI))) (cos (* 1/2 (PI)))))
(+ (* u1 (- (+ (* 2 (PI)) (* u1 (- (* u1 (- (* -4/3 (pow (PI) 3)) (+ (* -4 (/ (* (pow (PI) 2) (* (pow (sin (* 1/2 (PI))) 2) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (pow (cos (* 1/2 (PI))) 2))) (+ (* -2 (* (pow (PI) 2) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (* 4/3 (/ (* (pow (PI) 3) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))))) (* -2 (/ (* (PI) (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (cos (* 1/2 (PI)))))))) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))) (/ (sin (* 1/2 (PI))) (cos (* 1/2 (PI)))))
(/ (sin (* (PI) (+ 1/2 (* 2 u1)))) (cos (* (PI) (+ 1/2 (* 2 u1)))))
(/ (sin (* (PI) (+ 1/2 (* 2 u1)))) (cos (* (PI) (+ 1/2 (* 2 u1)))))
(/ (sin (* (PI) (+ 1/2 (* 2 u1)))) (cos (* (PI) (+ 1/2 (* 2 u1)))))
(/ (sin (* (PI) (+ 1/2 (* 2 u1)))) (cos (* (PI) (+ 1/2 (* 2 u1)))))
(/ (sin (* (PI) (- 1/2 (* -2 u1)))) (cos (* (PI) (- 1/2 (* -2 u1)))))
(/ (sin (* (PI) (- 1/2 (* -2 u1)))) (cos (* (PI) (- 1/2 (* -2 u1)))))
(/ (sin (* (PI) (- 1/2 (* -2 u1)))) (cos (* (PI) (- 1/2 (* -2 u1)))))
(/ (sin (* (PI) (- 1/2 (* -2 u1)))) (cos (* (PI) (- 1/2 (* -2 u1)))))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
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(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
Outputs
1
#s(literal 1 binary32)
(+ 1 (* -1/2 (/ u0 (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))))
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(sqrt (/ 1 (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))))))
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(sqrt (/ 1 (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))))))
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(sqrt (/ 1 (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (- 1/2 (* -2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (- 1/2 (* -2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (- 1/2 (* -2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (- 1/2 (* -2 u1)))) 2))))))))))))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 alphax alphax) (fma.f32 (*.f32 alphay alphay) (/.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)) (*.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)))) #s(literal 1 binary32)))) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 alphay alphay) (fma.f32 (*.f32 alphay alphay) (/.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)) (*.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)))) #s(literal 1 binary32)))))))))))
(sqrt (/ 1 (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (- 1/2 (* -2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (- 1/2 (* -2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (- 1/2 (* -2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (- 1/2 (* -2 u1)))) 2))))))))))))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 alphax alphax) (fma.f32 (*.f32 alphay alphay) (/.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)) (*.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)))) #s(literal 1 binary32)))) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 alphay alphay) (fma.f32 (*.f32 alphay alphay) (/.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)) (*.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)))) #s(literal 1 binary32)))))))))))
(sqrt (/ 1 (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (- 1/2 (* -2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (- 1/2 (* -2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (- 1/2 (* -2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (- 1/2 (* -2 u1)))) 2))))))))))))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 alphax alphax) (fma.f32 (*.f32 alphay alphay) (/.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)) (*.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)))) #s(literal 1 binary32)))) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 alphay alphay) (fma.f32 (*.f32 alphay alphay) (/.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)) (*.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)))) #s(literal 1 binary32)))))))))))
(sqrt (/ 1 (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (- 1/2 (* -2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (- 1/2 (* -2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (- 1/2 (* -2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (- 1/2 (* -2 u1)))) 2))))))))))))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 alphax alphax) (fma.f32 (*.f32 alphay alphay) (/.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)) (*.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)))) #s(literal 1 binary32)))) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 alphay alphay) (fma.f32 (*.f32 alphay alphay) (/.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)) (*.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)))) #s(literal 1 binary32)))))))))))
(pow alphax 2)
(*.f32 alphax alphax)
(+ (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow alphax 2))
(fma.f32 alphax alphax (/.f32 (*.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32))) (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32))))
(+ (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow alphax 2))
(fma.f32 alphax alphax (/.f32 (*.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32))) (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32))))
(+ (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow alphax 2))
(fma.f32 alphax alphax (/.f32 (*.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32))) (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32))))
(/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))
(/.f32 (*.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32))) (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)))
(* (pow alphay 2) (+ (/ (pow alphax 2) (pow alphay 2)) (/ (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))
(*.f32 (*.f32 alphay alphay) (+.f32 (/.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)) (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32))) (/.f32 (*.f32 alphax alphax) (*.f32 alphay alphay))))
(* (pow alphay 2) (+ (/ (pow alphax 2) (pow alphay 2)) (/ (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))
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(* (pow alphay 2) (+ (/ (pow alphax 2) (pow alphay 2)) (/ (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))
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(/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))
(/.f32 (*.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32))) (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)))
(* (pow alphay 2) (+ (/ (pow alphax 2) (pow alphay 2)) (/ (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))
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(* (pow alphay 2) (+ (/ (pow alphax 2) (pow alphay 2)) (/ (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))
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(* (pow alphay 2) (+ (/ (pow alphax 2) (pow alphay 2)) (/ (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))
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(/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))
(/.f32 (*.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32))) (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)))
(+ (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow alphax 2))
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(+ (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow alphax 2))
(fma.f32 alphax alphax (/.f32 (*.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32))) (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32))))
(+ (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow alphax 2))
(fma.f32 alphax alphax (/.f32 (*.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32))) (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32))))
(pow alphax 2)
(*.f32 alphax alphax)
(* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))
(*.f32 (*.f32 alphax alphax) (fma.f32 (*.f32 alphay alphay) (/.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)) (*.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)))) #s(literal 1 binary32)))
(* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))
(*.f32 (*.f32 alphax alphax) (fma.f32 (*.f32 alphay alphay) (/.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)) (*.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)))) #s(literal 1 binary32)))
(* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))
(*.f32 (*.f32 alphax alphax) (fma.f32 (*.f32 alphay alphay) (/.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)) (*.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)))) #s(literal 1 binary32)))
(pow alphax 2)
(*.f32 alphax alphax)
(* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))
(*.f32 (*.f32 alphax alphax) (fma.f32 (*.f32 alphay alphay) (/.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)) (*.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)))) #s(literal 1 binary32)))
(* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))
(*.f32 (*.f32 alphax alphax) (fma.f32 (*.f32 alphay alphay) (/.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)) (*.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)))) #s(literal 1 binary32)))
(* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))
(*.f32 (*.f32 alphax alphax) (fma.f32 (*.f32 alphay alphay) (/.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)) (*.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)))) #s(literal 1 binary32)))
(* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))
(*.f32 (*.f32 alphax alphax) (fma.f32 (*.f32 alphay alphay) (/.f32 (pow.f32 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32)) (*.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32)))) #s(literal 1 binary32)))
(+ (* 2 (/ (* (pow alphay 2) (* u1 (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))))) (cos (* 1/2 (PI))))) (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))))
(fma.f32 #s(literal 2 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) (*.f32 (*.f32 u1 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (fma.f32 #s(literal 2 binary32) (PI.f32) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 (PI.f32) (pow.f32 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))) (pow.f32 (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))))))) (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (*.f32 (*.f32 alphax alphax) (fma.f32 (*.f32 alphay alphay) (/.f32 (pow.f32 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32)) (*.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32)))) #s(literal 1 binary32))))
(+ (* u1 (+ (* 2 (/ (* (pow alphay 2) (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (cos (* 1/2 (PI))))) (* (pow alphay 2) (* u1 (+ (* 4 (/ (* (PI) (* (pow (sin (* 1/2 (PI))) 2) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (pow (cos (* 1/2 (PI))) 2))) (pow (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))) 2)))))) (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))))
(fma.f32 u1 (fma.f32 (*.f32 (*.f32 alphay alphay) u1) (fma.f32 #s(literal 4 binary32) (/.f32 (*.f32 (*.f32 (PI.f32) (pow.f32 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))) (fma.f32 #s(literal 2 binary32) (PI.f32) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 (PI.f32) (pow.f32 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))) (pow.f32 (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32)))))) (pow.f32 (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))) (pow.f32 (fma.f32 #s(literal 2 binary32) (PI.f32) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 (PI.f32) (pow.f32 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))) (pow.f32 (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))))) #s(literal 2 binary32))) (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (*.f32 alphay alphay) (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (fma.f32 #s(literal 2 binary32) (PI.f32) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 (PI.f32) (pow.f32 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))) (pow.f32 (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))))))) (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))))) (*.f32 (*.f32 alphax alphax) (fma.f32 (*.f32 alphay alphay) (/.f32 (pow.f32 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32)) (*.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32)))) #s(literal 1 binary32))))
(+ (* u1 (+ (* 2 (/ (* (pow alphay 2) (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (cos (* 1/2 (PI))))) (* u1 (+ (* (pow alphay 2) (* u1 (+ (* 2 (/ (* (sin (* 1/2 (PI))) (- (* -4/3 (pow (PI) 3)) (+ (* -4 (/ (* (pow (PI) 2) (* (pow (sin (* 1/2 (PI))) 2) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (pow (cos (* 1/2 (PI))) 2))) (+ (* -2 (* (pow (PI) 2) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (* 4/3 (/ (* (pow (PI) 3) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))))) (cos (* 1/2 (PI))))) (* 4 (/ (* (PI) (* (sin (* 1/2 (PI))) (pow (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))) 2))) (cos (* 1/2 (PI)))))))) (* (pow alphay 2) (+ (* 4 (/ (* (PI) (* (pow (sin (* 1/2 (PI))) 2) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (pow (cos (* 1/2 (PI))) 2))) (pow (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))) 2))))))) (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))))
(fma.f32 u1 (fma.f32 #s(literal 2 binary32) (/.f32 (*.f32 (*.f32 (*.f32 alphay alphay) (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (fma.f32 #s(literal 2 binary32) (PI.f32) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 (PI.f32) (pow.f32 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))) (pow.f32 (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32)))))) (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (*.f32 u1 (*.f32 (*.f32 alphay alphay) (fma.f32 u1 (fma.f32 #s(literal 2 binary32) (/.f32 (*.f32 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (-.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (fma.f32 #s(literal -4 binary32) (/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (pow.f32 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))) (fma.f32 #s(literal 2 binary32) (PI.f32) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 (PI.f32) (pow.f32 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))) (pow.f32 (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32)))))) (pow.f32 (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) (fma.f32 #s(literal 2 binary32) (PI.f32) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 (PI.f32) (pow.f32 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))) (pow.f32 (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))))) (/.f32 (*.f32 #s(literal 4/3 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (pow.f32 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32)))) (pow.f32 (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))))))) (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (/.f32 (*.f32 #s(literal 4 binary32) (*.f32 (*.f32 (PI.f32) (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (pow.f32 (fma.f32 #s(literal 2 binary32) (PI.f32) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 (PI.f32) (pow.f32 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))) (pow.f32 (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))))) #s(literal 2 binary32)))) (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))))) (fma.f32 #s(literal 4 binary32) (/.f32 (*.f32 (*.f32 (PI.f32) (pow.f32 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))) (fma.f32 #s(literal 2 binary32) (PI.f32) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 (PI.f32) (pow.f32 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))) (pow.f32 (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32)))))) (pow.f32 (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))) (pow.f32 (fma.f32 #s(literal 2 binary32) (PI.f32) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 (PI.f32) (pow.f32 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))) (pow.f32 (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))))) #s(literal 2 binary32))))))) (*.f32 (*.f32 alphax alphax) (fma.f32 (*.f32 alphay alphay) (/.f32 (pow.f32 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32)) (*.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32)))) #s(literal 1 binary32))))
(* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))
(*.f32 (*.f32 alphax alphax) (fma.f32 (*.f32 alphay alphay) (/.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)) (*.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)))) #s(literal 1 binary32)))
(* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))
(*.f32 (*.f32 alphax alphax) (fma.f32 (*.f32 alphay alphay) (/.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)) (*.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)))) #s(literal 1 binary32)))
(* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))
(*.f32 (*.f32 alphax alphax) (fma.f32 (*.f32 alphay alphay) (/.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)) (*.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)))) #s(literal 1 binary32)))
(* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))
(*.f32 (*.f32 alphax alphax) (fma.f32 (*.f32 alphay alphay) (/.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)) (*.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)))) #s(literal 1 binary32)))
(* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (- 1/2 (* -2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (- 1/2 (* -2 u1)))) 2)))))
(*.f32 (*.f32 alphax alphax) (fma.f32 (*.f32 alphay alphay) (/.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)) (*.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)))) #s(literal 1 binary32)))
(* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (- 1/2 (* -2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (- 1/2 (* -2 u1)))) 2)))))
(*.f32 (*.f32 alphax alphax) (fma.f32 (*.f32 alphay alphay) (/.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)) (*.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)))) #s(literal 1 binary32)))
(* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (- 1/2 (* -2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (- 1/2 (* -2 u1)))) 2)))))
(*.f32 (*.f32 alphax alphax) (fma.f32 (*.f32 alphay alphay) (/.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)) (*.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)))) #s(literal 1 binary32)))
(* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (- 1/2 (* -2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (- 1/2 (* -2 u1)))) 2)))))
(*.f32 (*.f32 alphax alphax) (fma.f32 (*.f32 alphay alphay) (/.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)) (*.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)))) #s(literal 1 binary32)))
(* -1/2 (/ u0 (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))))))
(/.f32 (*.f32 #s(literal -1/2 binary32) u0) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 alphax alphax) (fma.f32 (*.f32 alphay alphay) (/.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)) (*.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)))) #s(literal 1 binary32)))) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 alphay alphay) (fma.f32 (*.f32 alphay alphay) (/.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)) (*.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)))) #s(literal 1 binary32)))))))
(* u0 (- (* -1/4 (* u0 (- (* 2 (/ 1 (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))) (/ 1 (pow (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) 2))))) (* 1/2 (/ 1 (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))))))))
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(* -1/2 (log (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))))))
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(* -1/2 (log (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))))))
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(* -1/2 (log (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))))))
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(* -1/2 (log (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))))))
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(* -1/2 (log (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (- 1/2 (* -2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (- 1/2 (* -2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (- 1/2 (* -2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (- 1/2 (* -2 u1)))) 2))))))))))))
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(* -1/2 (log (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (- 1/2 (* -2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (- 1/2 (* -2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (- 1/2 (* -2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (- 1/2 (* -2 u1)))) 2))))))))))))
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(* -1/2 (log (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (- 1/2 (* -2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (- 1/2 (* -2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (- 1/2 (* -2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (- 1/2 (* -2 u1)))) 2))))))))))))
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(* -1/2 (log (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (- 1/2 (* -2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (- 1/2 (* -2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (- 1/2 (* -2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (- 1/2 (* -2 u1)))) 2))))))))))))
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(*.f32 (*.f32 (pow.f32 alphax #s(literal 4 binary32)) (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (pow.f32 (fma.f32 (*.f32 alphay alphay) (/.f32 (pow.f32 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32)) (*.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32)))) #s(literal 1 binary32)) #s(literal 2 binary32))))))) (*.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 alphax alphax) (fma.f32 (*.f32 alphay alphay) (/.f32 (pow.f32 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32)) (*.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32)))) #s(literal 1 binary32)))) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 alphay alphay) (fma.f32 (*.f32 alphay alphay) (/.f32 (pow.f32 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2 binary32))))))) (log1p.f32 (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 alphax alphax) (fma.f32 (*.f32 alphay alphay) (/.f32 (pow.f32 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32)) (*.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32)))) #s(literal 1 binary32)))) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 alphay alphay) (fma.f32 (*.f32 alphay alphay) (/.f32 (pow.f32 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32)) (*.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32)))) #s(literal 1 binary32))))))))))
(log (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))))))))
(log1p.f32 (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 alphax alphax) (fma.f32 (*.f32 alphay alphay) (/.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)) (*.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)))) #s(literal 1 binary32)))) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 alphay alphay) (fma.f32 (*.f32 alphay alphay) (/.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)) (*.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)))) #s(literal 1 binary32)))))))))
(log (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))))))))
(log1p.f32 (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 alphax alphax) (fma.f32 (*.f32 alphay alphay) (/.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)) (*.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)))) #s(literal 1 binary32)))) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 alphay alphay) (fma.f32 (*.f32 alphay alphay) (/.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)) (*.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)))) #s(literal 1 binary32)))))))))
(log (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))))))))
(log1p.f32 (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 alphax alphax) (fma.f32 (*.f32 alphay alphay) (/.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)) (*.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)))) #s(literal 1 binary32)))) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 alphay alphay) (fma.f32 (*.f32 alphay alphay) (/.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)) (*.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)))) #s(literal 1 binary32)))))))))
(log (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))))))))
(log1p.f32 (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 alphax alphax) (fma.f32 (*.f32 alphay alphay) (/.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)) (*.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)))) #s(literal 1 binary32)))) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 alphay alphay) (fma.f32 (*.f32 alphay alphay) (/.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)) (*.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)))) #s(literal 1 binary32)))))))))
(log (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (- 1/2 (* -2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (- 1/2 (* -2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (- 1/2 (* -2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (- 1/2 (* -2 u1)))) 2)))))))))))
(log1p.f32 (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 alphax alphax) (fma.f32 (*.f32 alphay alphay) (/.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)) (*.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)))) #s(literal 1 binary32)))) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 alphay alphay) (fma.f32 (*.f32 alphay alphay) (/.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)) (*.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)))) #s(literal 1 binary32)))))))))
(log (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (- 1/2 (* -2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (- 1/2 (* -2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (- 1/2 (* -2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (- 1/2 (* -2 u1)))) 2)))))))))))
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(log (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (- 1/2 (* -2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (- 1/2 (* -2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (- 1/2 (* -2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (- 1/2 (* -2 u1)))) 2)))))))))))
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(log (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (- 1/2 (* -2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (- 1/2 (* -2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (- 1/2 (* -2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (- 1/2 (* -2 u1)))) 2)))))))))))
(log1p.f32 (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 alphax alphax) (fma.f32 (*.f32 alphay alphay) (/.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)) (*.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)))) #s(literal 1 binary32)))) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 alphay alphay) (fma.f32 (*.f32 alphay alphay) (/.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)) (*.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)))) #s(literal 1 binary32)))))))))
(* -1 (/ u0 (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))
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1
#s(literal 1 binary32)
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1
#s(literal 1 binary32)
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1
#s(literal 1 binary32)
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(* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))
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(* (pow alphay 2) (+ (* 2 (/ u0 (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))) (* (pow alphay 2) (- (* 8 (/ (* (pow alphay 2) (* u0 (pow (- (/ 1 (pow alphax 2)) (/ u0 (pow alphax 2))) 2))) (* (pow (- 1 u0) 3) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 3)))) (* 4 (/ (* u0 (- (/ 1 (pow alphax 2)) (/ u0 (pow alphax 2)))) (* (pow (- 1 u0) 2) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 2))))))))
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(* (pow alphay 2) (+ (* 2 (/ u0 (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))) (* (pow alphay 2) (- (* (pow alphay 2) (- (* -16 (/ (* (pow alphay 2) (* u0 (pow (- (/ 1 (pow alphax 2)) (/ u0 (pow alphax 2))) 3))) (* (pow (- 1 u0) 4) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 4)))) (* -8 (/ (* u0 (pow (- (/ 1 (pow alphax 2)) (/ u0 (pow alphax 2))) 2)) (* (pow (- 1 u0) 3) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 3)))))) (* 4 (/ (* u0 (- (/ 1 (pow alphax 2)) (/ u0 (pow alphax 2)))) (* (pow (- 1 u0) 2) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 2))))))))
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(/ (* (pow alphax 2) u0) (- 1 u0))
(/.f32 (*.f32 (*.f32 alphax alphax) u0) (-.f32 #s(literal 1 binary32) u0))
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(/ (* (pow alphax 2) u0) (- 1 u0))
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(- (+ (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))) (* 8 (/ (* (pow alphay 6) u0) (* (pow alphax 4) (* (- 1 u0) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 3)))))) (* 4 (/ (* (pow alphay 4) u0) (* (pow alphax 2) (* (- 1 u0) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 2))))))
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(- (+ (* -16 (/ (* (pow alphay 8) u0) (* (pow alphax 6) (* (- 1 u0) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 4))))) (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))) (+ (* -8 (/ (* (pow alphay 6) u0) (* (pow alphax 4) (* (- 1 u0) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 3))))) (* 4 (/ (* (pow alphay 4) u0) (* (pow alphax 2) (* (- 1 u0) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 2)))))))
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(* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))
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(+ (* -4 (/ (* (pow alphay 4) u0) (* (pow alphax 2) (* (- 1 u0) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 2))))) (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))
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(- (+ (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))) (* 8 (/ (* (pow alphay 6) u0) (* (pow alphax 4) (* (- 1 u0) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 3)))))) (* 4 (/ (* (pow alphay 4) u0) (* (pow alphax 2) (* (- 1 u0) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 2))))))
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(- (+ (* -16 (/ (* (pow alphay 8) u0) (* (pow alphax 6) (* (- 1 u0) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 4))))) (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))) (+ (* -8 (/ (* (pow alphay 6) u0) (* (pow alphax 4) (* (- 1 u0) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 3))))) (* 4 (/ (* (pow alphay 4) u0) (* (pow alphax 2) (* (- 1 u0) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 2)))))))
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1
#s(literal 1 binary32)
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(/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (- 1 u0)))
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(* (pow alphay 2) (+ (/ 1 (pow alphay 2)) (/ u0 (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (- 1 u0)))))
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(* (pow alphay 2) (+ (/ 1 (pow alphay 2)) (/ u0 (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (- 1 u0)))))
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(* (pow alphay 2) (+ (/ 1 (pow alphay 2)) (/ u0 (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (- 1 u0)))))
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(/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (- 1 u0)))
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(* (pow alphay 2) (+ (/ 1 (pow alphay 2)) (/ u0 (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (- 1 u0)))))
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(* (pow alphay 2) (+ (/ 1 (pow alphay 2)) (/ u0 (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (- 1 u0)))))
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(* (pow alphay 2) (+ (/ 1 (pow alphay 2)) (/ u0 (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (- 1 u0)))))
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1
#s(literal 1 binary32)
(+ 1 (/ (* (pow alphay 2) u0) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2)))
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(+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (- 1 u0))))
(fma.f32 (*.f32 alphay alphay) (/.f32 u0 (*.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32))
(+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (- 1 u0))))
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(+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (- 1 u0))))
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(+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (- 1 u0))))
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(+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (- 1 u0))))
(fma.f32 (*.f32 alphay alphay) (/.f32 u0 (*.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32))
(+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (- 1 u0))))
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(+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (- 1 u0))))
(fma.f32 (*.f32 alphay alphay) (/.f32 u0 (*.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32))
(+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (- 1 u0))))
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(+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (- 1 u0))))
(fma.f32 (*.f32 alphay alphay) (/.f32 u0 (*.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32))
(+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (- 1 u0))))
(fma.f32 (*.f32 alphay alphay) (/.f32 u0 (*.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32))
(+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (- 1 u0))))
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(+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (- 1 u0))))
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1
#s(literal 1 binary32)
(+ 1 (* -1/2 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (- 1 u0)))))
(fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) u0) (*.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32))
(+ 1 (* (pow alphay 2) (+ (* -1/2 (* (pow alphay 2) (+ (* -1 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 4) (pow (- 1 u0) 2)))) (* 1/4 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 4) (pow (- 1 u0) 2))))))) (* -1/2 (/ u0 (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (- 1 u0)))))))
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(+ 1 (* (pow alphay 2) (+ (* -1/2 (/ u0 (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (- 1 u0)))) (* (pow alphay 2) (+ (* -1/2 (* (pow alphay 2) (+ (* 1/2 (/ (* u0 (+ (* -1 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 4) (pow (- 1 u0) 2)))) (* 1/4 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 4) (pow (- 1 u0) 2)))))) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (- 1 u0)))) (/ (pow u0 3) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 6) (pow (- 1 u0) 3)))))) (* -1/2 (+ (* -1 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 4) (pow (- 1 u0) 2)))) (* 1/4 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 4) (pow (- 1 u0) 2)))))))))))
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(* (/ (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) alphay) (sqrt (/ (- 1 u0) u0)))
(/.f32 (*.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u0) u0))) alphay)
(/ (+ (* -1/2 (* (/ (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 3) (pow alphay 2)) (sqrt (/ (pow (- 1 u0) 3) (pow u0 3))))) (* (sqrt (/ (- 1 u0) u0)) (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))))) alphay)
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(/ (+ (* -1/2 (* (/ (+ (* -1 (/ (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 6) (pow (- 1 u0) 3)) (pow u0 3))) (* 1/4 (/ (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 6) (pow (- 1 u0) 3)) (pow u0 3)))) (* (pow alphay 4) (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))))) (sqrt (/ u0 (- 1 u0))))) (+ (* -1/2 (* (/ (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 3) (pow alphay 2)) (sqrt (/ (pow (- 1 u0) 3) (pow u0 3))))) (* (sqrt (/ (- 1 u0) u0)) (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))))) alphay)
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(/ (+ (* -1/2 (* (/ (+ (* -1 (/ (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 6) (pow (- 1 u0) 3)) (pow u0 3))) (* 1/4 (/ (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 6) (pow (- 1 u0) 3)) (pow u0 3)))) (* (pow alphay 4) (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))))) (sqrt (/ u0 (- 1 u0))))) (+ (* -1/2 (* (/ (+ (* 1/2 (/ (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (* (+ (* -1 (/ (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 6) (pow (- 1 u0) 3)) (pow u0 3))) (* 1/4 (/ (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 6) (pow (- 1 u0) 3)) (pow u0 3)))) (- 1 u0))) u0)) (/ (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 8) (pow (- 1 u0) 4)) (pow u0 4))) (* (pow alphay 6) (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))))) (sqrt (/ u0 (- 1 u0))))) (+ (* -1/2 (* (/ (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 3) (pow alphay 2)) (sqrt (/ (pow (- 1 u0) 3) (pow u0 3))))) (* (sqrt (/ (- 1 u0) u0)) (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))))))) alphay)
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(* -1 (* (/ (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) alphay) (sqrt (/ (- 1 u0) u0))))
(neg.f32 (/.f32 (*.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u0) u0))) alphay))
(* -1 (/ (+ (* -1/2 (* (/ (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 3) (pow alphay 2)) (sqrt (/ (pow (- 1 u0) 3) (pow u0 3))))) (* (sqrt (/ (- 1 u0) u0)) (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))))) alphay))
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(* -1 (/ (+ (* -1/2 (* (/ (+ (* -1 (/ (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 6) (pow (- 1 u0) 3)) (pow u0 3))) (* 1/4 (/ (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 6) (pow (- 1 u0) 3)) (pow u0 3)))) (* (pow alphay 4) (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))))) (sqrt (/ u0 (- 1 u0))))) (+ (* -1/2 (* (/ (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 3) (pow alphay 2)) (sqrt (/ (pow (- 1 u0) 3) (pow u0 3))))) (* (sqrt (/ (- 1 u0) u0)) (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))))) alphay))
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1
#s(literal 1 binary32)
(+ 1 (* -1/2 (/ (* (pow alphay 2) u0) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))))
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(sqrt (/ 1 (+ 1 (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))))))
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(+ (sqrt (/ 1 (+ 1 (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2)))))) (* 1/2 (* (/ (pow alphay 2) (* u0 (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))) (sqrt (/ 1 (pow (+ 1 (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2)))) 3))))))
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(fma.f32 (*.f32 alphay alphay) (fma.f32 #s(literal 1/2 binary32) (/.f32 u0 (*.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0))) (/.f32 (*.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 alphay alphay) (*.f32 u0 u0))) (*.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))) #s(literal 4 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) u0))))) #s(literal 1 binary32))
(+ 1 (* (pow alphay 2) (+ (* 1/2 (/ u0 (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (- 1 u0)))) (* (pow alphay 2) (+ (* -1/8 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 4) (pow (- 1 u0) 2)))) (* 1/16 (/ (* (pow alphay 2) (pow u0 3)) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 6) (pow (- 1 u0) 3)))))))))
(fma.f32 (*.f32 alphay alphay) (fma.f32 (*.f32 alphay alphay) (fma.f32 #s(literal 1/16 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) (*.f32 u0 (*.f32 u0 u0))) (*.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))) #s(literal 6 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u0) (*.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) u0))))) (/.f32 (*.f32 #s(literal -1/8 binary32) (*.f32 u0 u0)) (*.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))) #s(literal 4 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) u0))))) (/.f32 (*.f32 #s(literal 1/2 binary32) u0) (*.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32))
(* (/ alphay (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))) (sqrt (/ u0 (- 1 u0))))
(/.f32 (*.f32 alphay (sqrt.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))))
(* alphay (+ (* 1/2 (* (/ (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) (pow alphay 2)) (sqrt (/ (- 1 u0) u0)))) (* (sqrt (/ u0 (- 1 u0))) (/ 1 (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))))))
(*.f32 alphay (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u0) u0))) (*.f32 alphay alphay)) (/.f32 (*.f32 (sqrt.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32)) (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))))))
(* alphay (+ (* -1/8 (* (/ (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 3) (pow alphay 4)) (sqrt (/ (pow (- 1 u0) 3) (pow u0 3))))) (+ (* 1/2 (* (/ (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) (pow alphay 2)) (sqrt (/ (- 1 u0) u0)))) (* (sqrt (/ u0 (- 1 u0))) (/ 1 (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))))))))
(*.f32 alphay (fma.f32 #s(literal -1/8 binary32) (/.f32 (*.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))) #s(literal 3 binary32)) (sqrt.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u0) (*.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) u0))) (*.f32 u0 (*.f32 u0 u0))))) (pow.f32 alphay #s(literal 4 binary32))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u0) u0))) (*.f32 alphay alphay)) (/.f32 (*.f32 (sqrt.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32)) (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax)))))))
(* alphay (+ (* -1/8 (* (/ (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 3) (pow alphay 4)) (sqrt (/ (pow (- 1 u0) 3) (pow u0 3))))) (+ (* 1/16 (* (/ (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 5) (pow alphay 6)) (sqrt (/ (pow (- 1 u0) 5) (pow u0 5))))) (+ (* 1/2 (* (/ (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) (pow alphay 2)) (sqrt (/ (- 1 u0) u0)))) (* (sqrt (/ u0 (- 1 u0))) (/ 1 (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))))))))
(*.f32 alphay (fma.f32 #s(literal -1/8 binary32) (/.f32 (*.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))) #s(literal 3 binary32)) (sqrt.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u0) (*.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) u0))) (*.f32 u0 (*.f32 u0 u0))))) (pow.f32 alphay #s(literal 4 binary32))) (fma.f32 #s(literal 1/16 binary32) (/.f32 (*.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))) #s(literal 5 binary32)) (sqrt.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u0) #s(literal 5 binary32)) (pow.f32 u0 #s(literal 5 binary32))))) (pow.f32 alphay #s(literal 6 binary32))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u0) u0))) (*.f32 alphay alphay)) (/.f32 (*.f32 (sqrt.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32)) (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))))))))
(* -1 (* (/ alphay (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))) (sqrt (/ u0 (- 1 u0)))))
(neg.f32 (/.f32 (*.f32 alphay (sqrt.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax)))))
(* -1 (* alphay (+ (* 1/2 (* (/ (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) (pow alphay 2)) (sqrt (/ (- 1 u0) u0)))) (* (sqrt (/ u0 (- 1 u0))) (/ 1 (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))))))))
(neg.f32 (*.f32 alphay (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u0) u0))) (*.f32 alphay alphay)) (/.f32 (*.f32 (sqrt.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32)) (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax)))))))
(* -1 (* alphay (+ (* -1/8 (* (/ (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 3) (pow alphay 4)) (sqrt (/ (pow (- 1 u0) 3) (pow u0 3))))) (+ (* 1/2 (* (/ (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) (pow alphay 2)) (sqrt (/ (- 1 u0) u0)))) (* (sqrt (/ u0 (- 1 u0))) (/ 1 (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))))))))
(neg.f32 (*.f32 alphay (fma.f32 #s(literal -1/8 binary32) (/.f32 (*.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))) #s(literal 3 binary32)) (sqrt.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u0) (*.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) u0))) (*.f32 u0 (*.f32 u0 u0))))) (pow.f32 alphay #s(literal 4 binary32))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u0) u0))) (*.f32 alphay alphay)) (/.f32 (*.f32 (sqrt.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32)) (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))))))))
(* -1 (* alphay (+ (* -1/8 (* (/ (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 3) (pow alphay 4)) (sqrt (/ (pow (- 1 u0) 3) (pow u0 3))))) (+ (* 1/16 (* (/ (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 5) (pow alphay 6)) (sqrt (/ (pow (- 1 u0) 5) (pow u0 5))))) (+ (* 1/2 (* (/ (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) (pow alphay 2)) (sqrt (/ (- 1 u0) u0)))) (* (sqrt (/ u0 (- 1 u0))) (/ 1 (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))))))))))
(neg.f32 (*.f32 alphay (fma.f32 #s(literal -1/8 binary32) (/.f32 (*.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))) #s(literal 3 binary32)) (sqrt.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u0) (*.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) u0))) (*.f32 u0 (*.f32 u0 u0))))) (pow.f32 alphay #s(literal 4 binary32))) (fma.f32 #s(literal 1/16 binary32) (/.f32 (*.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))) #s(literal 5 binary32)) (sqrt.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u0) #s(literal 5 binary32)) (pow.f32 u0 #s(literal 5 binary32))))) (pow.f32 alphay #s(literal 6 binary32))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u0) u0))) (*.f32 alphay alphay)) (/.f32 (*.f32 (sqrt.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32)) (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax)))))))))
1
#s(literal 1 binary32)
(+ 1 (* 1/2 (/ (* (pow alphay 2) u0) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))))
(fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) u0) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))) #s(literal 2 binary32))) #s(literal 1 binary32))
(+ 1 (* u0 (+ (* -1/2 (* u0 (+ (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))) (* 1/4 (/ (pow alphay 4) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 4)))))) (* 1/2 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))))))
(fma.f32 u0 (fma.f32 (*.f32 #s(literal -1/2 binary32) u0) (fma.f32 #s(literal 1/4 binary32) (/.f32 (pow.f32 alphay #s(literal 4 binary32)) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))) #s(literal 4 binary32))) (neg.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))) #s(literal 2 binary32))))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))) #s(literal 2 binary32)))) #s(literal 1 binary32))
(+ 1 (* u0 (+ (* 1/2 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))) (* u0 (+ (* -1/2 (* u0 (+ (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))) (* -1/2 (/ (* (pow alphay 2) (+ (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))) (* 1/4 (/ (pow alphay 4) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 4))))) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2)))))) (* -1/2 (+ (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))) (* 1/4 (/ (pow alphay 4) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 4))))))))))
(fma.f32 u0 (fma.f32 u0 (*.f32 #s(literal -1/2 binary32) (fma.f32 u0 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) (fma.f32 #s(literal 1/4 binary32) (/.f32 (pow.f32 alphay #s(literal 4 binary32)) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))) #s(literal 4 binary32))) (neg.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))) #s(literal 2 binary32)))))) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))) #s(literal 2 binary32))) (neg.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))) #s(literal 2 binary32))))) (fma.f32 #s(literal 1/4 binary32) (/.f32 (pow.f32 alphay #s(literal 4 binary32)) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))) #s(literal 4 binary32))) (neg.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))) #s(literal 2 binary32))))))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))) #s(literal 2 binary32)))) #s(literal 1 binary32))
(sqrt (+ 1 (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2)))))
(sqrt.f32 (+.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))) #s(literal 2 binary32))))))
(+ (sqrt (+ 1 (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))))) (* -1/2 (* (/ (pow alphay 2) (* u0 (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))) (sqrt (/ 1 (+ 1 (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2)))))))))
(fma.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 (*.f32 alphay alphay) (*.f32 u0 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))) #s(literal 2 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))) #s(literal 2 binary32)))))))) (sqrt.f32 (+.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))) #s(literal 2 binary32)))))))
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(sqrt (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (- 1 u0)))))
(sqrt.f32 (fma.f32 (*.f32 alphay alphay) (/.f32 u0 (*.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32)))
(sqrt (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (- 1 u0)))))
(sqrt.f32 (fma.f32 (*.f32 alphay alphay) (/.f32 u0 (*.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32)))
(sqrt (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (- 1 u0)))))
(sqrt.f32 (fma.f32 (*.f32 alphay alphay) (/.f32 u0 (*.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32)))
(sqrt (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (- 1 u0)))))
(sqrt.f32 (fma.f32 (*.f32 alphay alphay) (/.f32 u0 (*.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32)))
(/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (- 1 u0)))
(/.f32 (*.f32 (*.f32 alphay alphay) u0) (*.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0)))
(/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (- 1 u0)))
(/.f32 (*.f32 (*.f32 alphay alphay) u0) (*.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0)))
(/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (- 1 u0)))
(/.f32 (*.f32 (*.f32 alphay alphay) u0) (*.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0)))
(/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (- 1 u0)))
(/.f32 (*.f32 (*.f32 alphay alphay) u0) (*.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0)))
(/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (- 1 u0)))
(/.f32 (*.f32 (*.f32 alphay alphay) u0) (*.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0)))
(/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (- 1 u0)))
(/.f32 (*.f32 (*.f32 alphay alphay) u0) (*.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0)))
(/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (- 1 u0)))
(/.f32 (*.f32 (*.f32 alphay alphay) u0) (*.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0)))
(/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (- 1 u0)))
(/.f32 (*.f32 (*.f32 alphay alphay) u0) (*.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0)))
(/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (- 1 u0)))
(/.f32 (*.f32 (*.f32 alphay alphay) u0) (*.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0)))
(/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (- 1 u0)))
(/.f32 (*.f32 (*.f32 alphay alphay) u0) (*.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0)))
(/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (- 1 u0)))
(/.f32 (*.f32 (*.f32 alphay alphay) u0) (*.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0)))
(/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (- 1 u0)))
(/.f32 (*.f32 (*.f32 alphay alphay) u0) (*.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0)))
(/ (* (pow alphay 2) u0) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))
(/.f32 (*.f32 (*.f32 alphay alphay) u0) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))) #s(literal 2 binary32)))
(* u0 (+ (/ (* (pow alphay 2) u0) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2)) (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))))
(*.f32 u0 (fma.f32 (*.f32 alphay alphay) (/.f32 u0 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))) #s(literal 2 binary32))) (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))) #s(literal 2 binary32)))))
(* u0 (+ (* u0 (- (/ (* (pow alphay 2) u0) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2)) (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))))) (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))))
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(* u0 (+ (* u0 (- (* u0 (- (/ (* (pow alphay 2) u0) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2)) (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))))) (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))))) (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))))
(*.f32 u0 (fma.f32 u0 (fma.f32 u0 (-.f32 (/.f32 (*.f32 (*.f32 alphay alphay) u0) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))) #s(literal 2 binary32))) (neg.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))) #s(literal 2 binary32))))) (neg.f32 (neg.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))) #s(literal 2 binary32)))))) (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))) #s(literal 2 binary32)))))
(* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2)))
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(+ (* -1 (/ (pow alphay 2) (* u0 (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2)))) (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))))
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(- (+ (* -1 (/ (pow alphay 2) (* (pow u0 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2)))) (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2)))) (/ (pow alphay 2) (* u0 (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))))
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(- (+ (* -1 (/ (pow alphay 2) (* (pow u0 3) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2)))) (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2)))) (+ (/ (pow alphay 2) (* u0 (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))) (/ (pow alphay 2) (* (pow u0 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2)))))
(-.f32 (+.f32 (neg.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))) #s(literal 2 binary32)))) (neg.f32 (/.f32 (*.f32 alphay alphay) (*.f32 (*.f32 u0 (*.f32 u0 u0)) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))) #s(literal 2 binary32)))))) (+.f32 (/.f32 (*.f32 alphay alphay) (*.f32 u0 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))) #s(literal 2 binary32)))) (/.f32 (*.f32 alphay alphay) (*.f32 (*.f32 u0 u0) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))) #s(literal 2 binary32))))))
(* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2)))
(neg.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))) #s(literal 2 binary32))))
(+ (* -1 (/ (pow alphay 2) (* u0 (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2)))) (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))))
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(+ (* -1 (/ (+ (/ (pow alphay 2) (* u0 (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))) (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))) u0)) (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))))
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(/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (- 1 u0)))
(/.f32 (*.f32 (*.f32 alphay alphay) u0) (*.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0)))
(/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (- 1 u0)))
(/.f32 (*.f32 (*.f32 alphay alphay) u0) (*.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0)))
(/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (- 1 u0)))
(/.f32 (*.f32 (*.f32 alphay alphay) u0) (*.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0)))
(/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (- 1 u0)))
(/.f32 (*.f32 (*.f32 alphay alphay) u0) (*.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0)))
(/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (- 1 u0)))
(/.f32 (*.f32 (*.f32 alphay alphay) u0) (*.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0)))
(/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (- 1 u0)))
(/.f32 (*.f32 (*.f32 alphay alphay) u0) (*.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0)))
(/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (- 1 u0)))
(/.f32 (*.f32 (*.f32 alphay alphay) u0) (*.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0)))
(/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (- 1 u0)))
(/.f32 (*.f32 (*.f32 alphay alphay) u0) (*.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0)))
(/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (- 1 u0)))
(/.f32 (*.f32 (*.f32 alphay alphay) u0) (*.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0)))
(/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (- 1 u0)))
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(/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (- 1 u0)))
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(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))))
(cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))))
(cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))))
(cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))))
(cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax)))

eval317.0ms (1.4%)

Memory
26.0MiB live, 605.3MiB allocated
Compiler

Compiled 165 350 to 6 117 computations (96.3% saved)

prune445.0ms (2%)

Memory
-148.7MiB live, 330.7MiB allocated
Pruning

30 alts after pruning (27 fresh and 3 done)

PrunedKeptTotal
New1 503171 520
Fresh51015
Picked235
Done000
Total1 510301 540
Accuracy
100.0%
Counts
1 540 → 30
Alt Table
Click to see full alt table
StatusAccuracyProgram
96.1%
(fma.f32 (*.f32 alphay alphay) (/.f32 (neg.f32 u0) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax)))))) #s(literal 1 binary32))
97.2%
(fma.f32 (*.f32 alphay alphay) (/.f32 (neg.f32 u0) (*.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))) (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32))
96.1%
(fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) u0) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))) #s(literal 2 binary32))) #s(literal 1 binary32))
97.1%
(fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) u0) (*.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32))
89.2%
(fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (*.f32 alphax alphax) u0) (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32))
93.9%
(fma.f32 #s(literal -1/2 binary32) (/.f32 u0 (fma.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))) (*.f32 alphay alphay)) (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)))) #s(literal 1 binary32))
50.7%
(pow.f32 (fma.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))) (/.f32 (*.f32 alphax (*.f32 alphax u0)) (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32)) #s(literal -1/2 binary32))
98.4%
(pow.f32 (fma.f32 (*.f32 alphay alphay) (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))))) #s(literal 1 binary32)) #s(literal -1/2 binary32))
99.9%
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 alphax alphax (pow.f32 (*.f32 alphax (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))) #s(literal 2 binary32)))) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))) (*.f32 alphay alphay))) (-.f32 #s(literal 1 binary32) u0)))) #s(literal -1/2 binary32))
95.8%
(/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) u0) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))) #s(literal 2 binary32))) #s(literal 1 binary32)))
89.2%
(/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (*.f32 alphax alphax) u0) (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32)))
93.8%
(/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/2 binary32) (/.f32 u0 (fma.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))) (*.f32 alphay alphay)) (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)))) #s(literal 1 binary32)))
97.6%
(/.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (fma.f32 (*.f32 alphay alphay) (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))))) #s(literal 1 binary32)) #s(literal 1/4 binary32)) #s(literal 2 binary32)))
50.8%
(/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 (/.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) u0)) (*.f32 alphax (*.f32 alphax u0)) #s(literal 1 binary32))))
98.0%
(/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))))) (*.f32 alphay alphay) #s(literal 1 binary32))))
97.8%
(/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))))))))))) (*.f32 alphay alphay) #s(literal 1 binary32))))
95.8%
(/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 (*.f32 alphay alphay) (/.f32 u0 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))) #s(literal 2 binary32))) #s(literal 1 binary32))))
89.3%
(/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 (*.f32 alphax alphax) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32))))
88.9%
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 u0 (*.f32 alphax alphax)) (*.f32 (-.f32 #s(literal 1 binary32) u0) (pow.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (*.f32 #s(literal 2 binary32) u1) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32)))))))
40.8%
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 u0 (*.f32 alphax alphax)) (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))))))))))
94.3%
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (fma.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))) (*.f32 alphay alphay)) (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax))))))))
99.4%
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))) (*.f32 alphay alphay)) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))) (*.f32 alphax alphax)))))))))
96.7%
(*.f32 (*.f32 alphay alphay) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (neg.f32 (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))))))))
89.2%
(sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 alphax alphax) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32))))
98.4%
(sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 2 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) u0) (*.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))) (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32))))
98.9%
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 u0 (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)) (*.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32))))) (-.f32 #s(literal 1 binary32) u0))))))
98.4%
(exp.f32 (*.f32 (log1p.f32 (/.f32 (*.f32 alphay (*.f32 alphay u0)) (*.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32)))))))) #s(literal -1/2 binary32)))
100.0%
(exp.f32 (*.f32 (log1p.f32 (/.f32 u0 (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 alphax alphax (pow.f32 (*.f32 alphax (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))) #s(literal 2 binary32)))) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))) (*.f32 alphay alphay))) (-.f32 #s(literal 1 binary32) u0)))) #s(literal -1/2 binary32)))
99.0%
(exp.f32 (*.f32 (log1p.f32 (/.f32 u0 (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)) (*.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32))))) (-.f32 #s(literal 1 binary32) u0)))) #s(literal -1/2 binary32)))
92.8%
#s(literal 1 binary32)
Compiler

Compiled 1 957 to 1 270 computations (35.1% saved)

simplify357.0ms (1.6%)

Memory
9.4MiB live, 433.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f32 alphay alphay)
cost-diff0
(fma.f32 (*.f32 alphay alphay) (/.f32 u0 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))) #s(literal 2 binary32))) #s(literal 1 binary32))
cost-diff0
(sqrt.f32 (fma.f32 (*.f32 alphay alphay) (/.f32 u0 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))) #s(literal 2 binary32))) #s(literal 1 binary32)))
cost-diff0
(/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 (*.f32 alphay alphay) (/.f32 u0 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))) #s(literal 2 binary32))) #s(literal 1 binary32))))
cost-diff0
(/.f32 (*.f32 (*.f32 alphay alphay) u0) (*.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))) (-.f32 #s(literal 1 binary32) u0)))
cost-diff0
(fma.f32 #s(literal 2 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) u0) (*.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))) (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32))
cost-diff0
(/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 2 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) u0) (*.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))) (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32)))
cost-diff0
(sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 2 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) u0) (*.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))) (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32))))
cost-diff0
(neg.f32 u0)
cost-diff0
(*.f32 alphay alphay)
cost-diff0
(fma.f32 (*.f32 alphay alphay) (/.f32 (neg.f32 u0) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax)))))) #s(literal 1 binary32))
cost-diff64
(/.f32 (neg.f32 u0) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))))
cost-diff0
(*.f32 alphax alphax)
cost-diff0
(*.f32 (*.f32 alphax alphax) u0)
cost-diff0
(/.f32 (*.f32 (*.f32 alphax alphax) u0) (-.f32 #s(literal 1 binary32) u0))
cost-diff0
(fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (*.f32 alphax alphax) u0) (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32))
cost-diff0
(log1p.f32 (/.f32 u0 (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 alphax alphax (pow.f32 (*.f32 alphax (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))) #s(literal 2 binary32)))) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))) (*.f32 alphay alphay))) (-.f32 #s(literal 1 binary32) u0))))
cost-diff0
(*.f32 (log1p.f32 (/.f32 u0 (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 alphax alphax (pow.f32 (*.f32 alphax (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))) #s(literal 2 binary32)))) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))) (*.f32 alphay alphay))) (-.f32 #s(literal 1 binary32) u0)))) #s(literal -1/2 binary32))
cost-diff512
(*.f32 alphax (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))
cost-diff3232
(exp.f32 (*.f32 (log1p.f32 (/.f32 u0 (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 alphax alphax (pow.f32 (*.f32 alphax (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))) #s(literal 2 binary32)))) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))) (*.f32 alphay alphay))) (-.f32 #s(literal 1 binary32) u0)))) #s(literal -1/2 binary32)))
Rules
8 736×accelerator-lowering-fma.f32
8 736×accelerator-lowering-fma.f64
4 820×*-lowering-*.f32
4 820×*-lowering-*.f64
1 794×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0671160
11531160
23951159
311971134
430311110
560511110
084111040
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(exp (* (log (+ 1 (/ u0 (* (+ (/ 1 (+ (* alphax alphax) (pow (* alphax (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2))))) 2))) (/ (- 1 (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2)))) (* alphay alphay))) (- 1 u0))))) -1/2))
(* (log (+ 1 (/ u0 (* (+ (/ 1 (+ (* alphax alphax) (pow (* alphax (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2))))) 2))) (/ (- 1 (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2)))) (* alphay alphay))) (- 1 u0))))) -1/2)
(log (+ 1 (/ u0 (* (+ (/ 1 (+ (* alphax alphax) (pow (* alphax (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2))))) 2))) (/ (- 1 (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2)))) (* alphay alphay))) (- 1 u0)))))
(/ u0 (* (+ (/ 1 (+ (* alphax alphax) (pow (* alphax (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2))))) 2))) (/ (- 1 (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2)))) (* alphay alphay))) (- 1 u0)))
u0
(* (+ (/ 1 (+ (* alphax alphax) (pow (* alphax (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2))))) 2))) (/ (- 1 (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2)))) (* alphay alphay))) (- 1 u0))
(+ (/ 1 (+ (* alphax alphax) (pow (* alphax (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2))))) 2))) (/ (- 1 (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2)))) (* alphay alphay)))
(/ 1 (+ (* alphax alphax) (pow (* alphax (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2))))) 2)))
1
(+ (* alphax alphax) (pow (* alphax (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2))))) 2))
alphax
(pow (* alphax (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2))))) 2)
(* alphax (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))))
(* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2))))
(/ alphay alphax)
alphay
(tan (* (PI) (+ (* 2 u1) 1/2)))
(* (PI) (+ (* 2 u1) 1/2))
(PI)
(+ (* 2 u1) 1/2)
2
u1
1/2
(/ (- 1 (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2)))) (* alphay alphay))
(- 1 (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2))))
(/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2)))
(+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2))
(pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2)
(* alphay alphay)
(- 1 u0)
-1/2
(+ (* -1/2 (/ (* (* alphax alphax) u0) (- 1 u0))) 1)
-1/2
(/ (* (* alphax alphax) u0) (- 1 u0))
(* (* alphax alphax) u0)
(* alphax alphax)
alphax
u0
(- 1 u0)
1
(+ (* (* alphay alphay) (/ (neg u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax))))))) 1)
(* alphay alphay)
alphay
(/ (neg u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax))))))
(neg u0)
u0
(- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax)))))
1
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax))))
(* 2 (atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax)))
2
(atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax))
(/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax)
(* alphay (tan (* (PI) (+ (* 2 u1) 1/2))))
(tan (* (PI) (+ (* 2 u1) 1/2)))
(* (PI) (+ (* 2 u1) 1/2))
(PI)
(+ (* 2 u1) 1/2)
u1
1/2
alphax
(sqrt (/ 1 (+ (* 2 (/ (* (* alphay alphay) u0) (* (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax))))) (- 1 u0)))) 1)))
(/ 1 (+ (* 2 (/ (* (* alphay alphay) u0) (* (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax))))) (- 1 u0)))) 1))
1
(+ (* 2 (/ (* (* alphay alphay) u0) (* (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax))))) (- 1 u0)))) 1)
2
(/ (* (* alphay alphay) u0) (* (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax))))) (- 1 u0)))
(* (* alphay alphay) u0)
(* alphay alphay)
alphay
u0
(* (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax))))) (- 1 u0))
(- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax)))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax))))
(* 2 (atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax)))
(atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax))
(/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax)
(* alphay (tan (* (PI) (+ (* 2 u1) 1/2))))
(tan (* (PI) (+ (* 2 u1) 1/2)))
(* (PI) (+ (* 2 u1) 1/2))
(PI)
(+ (* 2 u1) 1/2)
u1
1/2
alphax
(- 1 u0)
(/ 1 (sqrt (+ (* (* alphay alphay) (/ u0 (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))) 1)))
1
(sqrt (+ (* (* alphay alphay) (/ u0 (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))) 1))
(+ (* (* alphay alphay) (/ u0 (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))) 1)
(* alphay alphay)
alphay
(/ u0 (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))
u0
(pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2)
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(/ (* alphay (tan (* 1/2 (PI)))) alphax)
(* alphay (tan (* 1/2 (PI))))
(tan (* 1/2 (PI)))
(* 1/2 (PI))
1/2
(PI)
alphax
2
Outputs
(exp (* (log (+ 1 (/ u0 (* (+ (/ 1 (+ (* alphax alphax) (pow (* alphax (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2))))) 2))) (/ (- 1 (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2)))) (* alphay alphay))) (- 1 u0))))) -1/2))
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (fma.f32 alphax alphax (pow.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32)))) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32)))) #s(literal -1 binary32)) (*.f32 alphay alphay))) (-.f32 #s(literal 1 binary32) u0)))) #s(literal -1/2 binary32))
(* (log (+ 1 (/ u0 (* (+ (/ 1 (+ (* alphax alphax) (pow (* alphax (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2))))) 2))) (/ (- 1 (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2)))) (* alphay alphay))) (- 1 u0))))) -1/2)
(*.f32 (log1p.f32 (/.f32 u0 (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (fma.f32 alphax alphax (pow.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32)))) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32)))) #s(literal -1 binary32)) (*.f32 alphay alphay))) (-.f32 #s(literal 1 binary32) u0)))) #s(literal -1/2 binary32))
(log (+ 1 (/ u0 (* (+ (/ 1 (+ (* alphax alphax) (pow (* alphax (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2))))) 2))) (/ (- 1 (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2)))) (* alphay alphay))) (- 1 u0)))))
(log1p.f32 (/.f32 u0 (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (fma.f32 alphax alphax (pow.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32)))) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32)))) #s(literal -1 binary32)) (*.f32 alphay alphay))) (-.f32 #s(literal 1 binary32) u0))))
(/ u0 (* (+ (/ 1 (+ (* alphax alphax) (pow (* alphax (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2))))) 2))) (/ (- 1 (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2)))) (* alphay alphay))) (- 1 u0)))
(/.f32 u0 (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (fma.f32 alphax alphax (pow.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32)))) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32)))) #s(literal -1 binary32)) (*.f32 alphay alphay))) (-.f32 #s(literal 1 binary32) u0)))
u0
(* (+ (/ 1 (+ (* alphax alphax) (pow (* alphax (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2))))) 2))) (/ (- 1 (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2)))) (* alphay alphay))) (- 1 u0))
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (fma.f32 alphax alphax (pow.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32)))) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32)))) #s(literal -1 binary32)) (*.f32 alphay alphay))) (-.f32 #s(literal 1 binary32) u0))
(+ (/ 1 (+ (* alphax alphax) (pow (* alphax (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2))))) 2))) (/ (- 1 (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2)))) (* alphay alphay)))
(-.f32 (/.f32 #s(literal 1 binary32) (fma.f32 alphax alphax (pow.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32)))) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32)))) #s(literal -1 binary32)) (*.f32 alphay alphay)))
(/ 1 (+ (* alphax alphax) (pow (* alphax (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2))))) 2)))
(/.f32 #s(literal 1 binary32) (fma.f32 alphax alphax (pow.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))
1
#s(literal 1 binary32)
(+ (* alphax alphax) (pow (* alphax (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2))))) 2))
(fma.f32 alphax alphax (pow.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32)))
alphax
(pow (* alphax (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2))))) 2)
(pow.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))
(* alphax (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))))
(*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))
(* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2))))
(*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))
(/ alphay alphax)
(/.f32 alphay alphax)
alphay
(tan (* (PI) (+ (* 2 u1) 1/2)))
(tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))
(* (PI) (+ (* 2 u1) 1/2))
(*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))
(PI)
(PI.f32)
(+ (* 2 u1) 1/2)
(fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))
2
#s(literal 2 binary32)
u1
1/2
#s(literal 1/2 binary32)
(/ (- 1 (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2)))) (* alphay alphay))
(/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))) (*.f32 alphay alphay))
(- 1 (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2))))
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32)))))
(/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))
(+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2))
(+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32)))
(pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2)
(pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))
(* alphay alphay)
(*.f32 alphay alphay)
(- 1 u0)
(-.f32 #s(literal 1 binary32) u0)
-1/2
#s(literal -1/2 binary32)
(+ (* -1/2 (/ (* (* alphax alphax) u0) (- 1 u0))) 1)
(fma.f32 u0 (*.f32 #s(literal -1/2 binary32) (*.f32 alphax (/.f32 alphax (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32))
-1/2
#s(literal -1/2 binary32)
(/ (* (* alphax alphax) u0) (- 1 u0))
(*.f32 alphax (*.f32 u0 (/.f32 alphax (-.f32 #s(literal 1 binary32) u0))))
(* (* alphax alphax) u0)
(*.f32 u0 (*.f32 alphax alphax))
(* alphax alphax)
(*.f32 alphax alphax)
alphax
u0
(- 1 u0)
(-.f32 #s(literal 1 binary32) u0)
1
#s(literal 1 binary32)
(+ (* (* alphay alphay) (/ (neg u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax))))))) 1)
(fma.f32 u0 (/.f32 (*.f32 alphay alphay) (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) #s(literal -1 binary32))) #s(literal 1 binary32))
(* alphay alphay)
(*.f32 alphay alphay)
alphay
(/ (neg u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax))))))
(/.f32 u0 (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) #s(literal -1 binary32)))
(neg u0)
(neg.f32 u0)
u0
(- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax)))))
(-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))))
1
#s(literal 1 binary32)
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax))))
(cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))))
(* 2 (atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax)))
(*.f32 #s(literal 2 binary32) (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))
2
#s(literal 2 binary32)
(atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax))
(atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))
(/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax)
(*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))
(* alphay (tan (* (PI) (+ (* 2 u1) 1/2))))
(*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))
(tan (* (PI) (+ (* 2 u1) 1/2)))
(tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))
(* (PI) (+ (* 2 u1) 1/2))
(*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))
(PI)
(PI.f32)
(+ (* 2 u1) 1/2)
(fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))
u1
1/2
#s(literal 1/2 binary32)
alphax
(sqrt (/ 1 (+ (* 2 (/ (* (* alphay alphay) u0) (* (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax))))) (- 1 u0)))) 1)))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u0 (/.f32 (*.f32 alphay (*.f32 alphay #s(literal 2 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))))))) #s(literal 1 binary32))))
(/ 1 (+ (* 2 (/ (* (* alphay alphay) u0) (* (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax))))) (- 1 u0)))) 1))
(/.f32 #s(literal 1 binary32) (fma.f32 u0 (/.f32 (*.f32 alphay (*.f32 alphay #s(literal 2 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))))))) #s(literal 1 binary32)))
1
#s(literal 1 binary32)
(+ (* 2 (/ (* (* alphay alphay) u0) (* (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax))))) (- 1 u0)))) 1)
(fma.f32 u0 (/.f32 (*.f32 alphay (*.f32 alphay #s(literal 2 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))))))) #s(literal 1 binary32))
2
#s(literal 2 binary32)
(/ (* (* alphay alphay) u0) (* (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax))))) (- 1 u0)))
(/.f32 (*.f32 u0 (*.f32 alphay alphay)) (*.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))))))
(* (* alphay alphay) u0)
(*.f32 u0 (*.f32 alphay alphay))
(* alphay alphay)
(*.f32 alphay alphay)
alphay
u0
(* (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax))))) (- 1 u0))
(*.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))))))
(- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax)))))
(-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax))))
(cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))))
(* 2 (atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax)))
(*.f32 #s(literal 2 binary32) (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))
(atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax))
(atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))
(/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax)
(*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))
(* alphay (tan (* (PI) (+ (* 2 u1) 1/2))))
(*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))
(tan (* (PI) (+ (* 2 u1) 1/2)))
(tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))
(* (PI) (+ (* 2 u1) 1/2))
(*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))
(PI)
(PI.f32)
(+ (* 2 u1) 1/2)
(fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))
u1
1/2
#s(literal 1/2 binary32)
alphax
(- 1 u0)
(-.f32 #s(literal 1 binary32) u0)
(/ 1 (sqrt (+ (* (* alphay alphay) (/ u0 (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))) 1)))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 u0 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))))) #s(literal 2 binary32))) #s(literal 1 binary32))))
1
#s(literal 1 binary32)
(sqrt (+ (* (* alphay alphay) (/ u0 (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))) 1))
(sqrt.f32 (fma.f32 u0 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))))) #s(literal 2 binary32))) #s(literal 1 binary32)))
(+ (* (* alphay alphay) (/ u0 (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))) 1)
(fma.f32 u0 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))))) #s(literal 2 binary32))) #s(literal 1 binary32))
(* alphay alphay)
(*.f32 alphay alphay)
alphay
(/ u0 (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))
(/.f32 u0 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))))) #s(literal 2 binary32)))
u0
(pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2)
(pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))))) #s(literal 2 binary32))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))))))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))))
(/ (* alphay (tan (* 1/2 (PI)))) alphax)
(*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))))
(* alphay (tan (* 1/2 (PI))))
(*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))))
(tan (* 1/2 (PI)))
(tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))
(* 1/2 (PI))
(*.f32 (PI.f32) #s(literal 1/2 binary32))
1/2
#s(literal 1/2 binary32)
(PI)
(PI.f32)
alphax
2
#s(literal 2 binary32)

localize990.0ms (4.4%)

Memory
26.3MiB live, 1 525.4MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(sqrt.f32 (fma.f32 (*.f32 alphay alphay) (/.f32 u0 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))) #s(literal 2 binary32))) #s(literal 1 binary32)))
accuracy100.0%
(sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax)))
accuracy100.0%
(atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))
accuracy6.3%
(PI.f32)
accuracy100.0%
(sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 2 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) u0) (*.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))) (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32))))
accuracy100.0%
(cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))
accuracy100.0%
(atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))
accuracy6.3%
(PI.f32)
accuracy100.0%
(neg.f32 u0)
accuracy100.0%
(cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))
accuracy100.0%
(atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))
accuracy6.3%
(PI.f32)
accuracy100.0%
(/.f32 (*.f32 (*.f32 alphax alphax) u0) (-.f32 #s(literal 1 binary32) u0))
accuracy100.0%
(-.f32 #s(literal 1 binary32) u0)
accuracy100.0%
(*.f32 (*.f32 alphax alphax) u0)
accuracy100.0%
(*.f32 alphax alphax)
accuracy100.0%
(tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))
accuracy100.0%
(log1p.f32 (/.f32 u0 (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 alphax alphax (pow.f32 (*.f32 alphax (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))) #s(literal 2 binary32)))) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))) (*.f32 alphay alphay))) (-.f32 #s(literal 1 binary32) u0))))
accuracy100.0%
(exp.f32 (*.f32 (log1p.f32 (/.f32 u0 (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 alphax alphax (pow.f32 (*.f32 alphax (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))) #s(literal 2 binary32)))) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))) (*.f32 alphay alphay))) (-.f32 #s(literal 1 binary32) u0)))) #s(literal -1/2 binary32)))
accuracy6.3%
(PI.f32)
Samples
750.0ms256×4exit
Compiler

Compiled 1 084 to 68 computations (93.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 638.0ms
ival-mult: 153.0ms (24% of total)
adjust: 116.0ms (18.2% of total)
ival-div: 77.0ms (12.1% of total)
ival-tan: 73.0ms (11.4% of total)
ival-add: 41.0ms (6.4% of total)
ival-pow2: 35.0ms (5.5% of total)
ival-cos: 32.0ms (5% of total)
ival-sin: 27.0ms (4.2% of total)
ival-atan: 20.0ms (3.1% of total)
ival-sub: 17.0ms (2.7% of total)
ival-exp: 15.0ms (2.4% of total)
ival-sqrt: 13.0ms (2% of total)
ival-log1p: 10.0ms (1.6% of total)
ival-pi: 4.0ms (0.6% of total)
exact: 2.0ms (0.3% of total)
ival-neg: 1.0ms (0.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series478.0ms (2.1%)

Memory
-4.1MiB live, 686.7MiB allocated
Counts
26 → 828
Calls
Call 1
Inputs
#<alt (exp (* (log (+ 1 (/ u0 (* (+ (/ 1 (+ (* alphax alphax) (pow (* alphax (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2))))) 2))) (/ (- 1 (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2)))) (* alphay alphay))) (- 1 u0))))) -1/2))>
#<alt (* alphax (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))))>
#<alt (* (log (+ 1 (/ u0 (* (+ (/ 1 (+ (* alphax alphax) (pow (* alphax (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2))))) 2))) (/ (- 1 (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2)))) (* alphay alphay))) (- 1 u0))))) -1/2)>
#<alt (log (+ 1 (/ u0 (* (+ (/ 1 (+ (* alphax alphax) (pow (* alphax (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2))))) 2))) (/ (- 1 (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2)))) (* alphay alphay))) (- 1 u0)))))>
#<alt (+ (* -1/2 (/ (* (* alphax alphax) u0) (- 1 u0))) 1)>
#<alt (/ (* (* alphax alphax) u0) (- 1 u0))>
#<alt (* (* alphax alphax) u0)>
#<alt (* alphax alphax)>
#<alt (/ (neg u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax))))))>
#<alt (+ (* (* alphay alphay) (/ (neg u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax))))))) 1)>
#<alt (* alphay alphay)>
#<alt (neg u0)>
#<alt (sqrt (/ 1 (+ (* 2 (/ (* (* alphay alphay) u0) (* (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax))))) (- 1 u0)))) 1)))>
#<alt (/ 1 (+ (* 2 (/ (* (* alphay alphay) u0) (* (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax))))) (- 1 u0)))) 1))>
#<alt (+ (* 2 (/ (* (* alphay alphay) u0) (* (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax))))) (- 1 u0)))) 1)>
#<alt (/ (* (* alphay alphay) u0) (* (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax))))) (- 1 u0)))>
#<alt (/ 1 (sqrt (+ (* (* alphay alphay) (/ u0 (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))) 1)))>
#<alt (sqrt (+ (* (* alphay alphay) (/ u0 (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))) 1))>
#<alt (+ (* (* alphay alphay) (/ u0 (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))) 1)>
#<alt (PI)>
#<alt (tan (* (PI) (+ (* 2 u1) 1/2)))>
#<alt (- 1 u0)>
#<alt (atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax))>
#<alt (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax))))>
#<alt (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))>
#<alt (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))>
Outputs
#<alt 1>
#<alt (+ 1 (* -1/2 (/ u0 (- (+ (/ 1 (+ (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow alphax 2))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))))>
#<alt (+ 1 (* u0 (- (* 1/2 (* u0 (- (* 3/4 (/ 1 (pow (- (+ (/ 1 (+ (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow alphax 2))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) 2))) (/ 1 (- (+ (/ 1 (+ (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow alphax 2))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))))) (* 1/2 (/ 1 (- (+ (/ 1 (+ (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow alphax 2))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))))))>
#<alt (+ 1 (* u0 (- (* u0 (+ (* 1/2 (* u0 (- (* 2 (/ 1 (pow (- (+ (/ 1 (+ (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow alphax 2))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) 2))) (+ (* -1/2 (/ (- (* 3/4 (/ 1 (pow (- (+ (/ 1 (+ (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow alphax 2))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) 2))) (/ 1 (- (+ (/ 1 (+ (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow alphax 2))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))) (- (+ (/ 1 (+ (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow alphax 2))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))) (+ (/ 1 (- (+ (/ 1 (+ (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow alphax 2))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))))) (/ 1 (pow (- (+ (/ 1 (+ (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow alphax 2))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) 3))))))) (* 1/2 (- (* 3/4 (/ 1 (pow (- (+ (/ 1 (+ (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow alphax 2))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) 2))) (/ 1 (- (+ (/ 1 (+ (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow alphax 2))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))))))))) (* 1/2 (/ 1 (- (+ (/ 1 (+ (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow alphax 2))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))))))>
#<alt (sqrt (/ 1 (- 1 (/ 1 (- (+ (/ 1 (+ (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow alphax 2))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))))))))>
#<alt (+ (sqrt (/ 1 (- 1 (/ 1 (- (+ (/ 1 (+ (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow alphax 2))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))))) (* 1/2 (* (/ 1 (* u0 (- (+ (/ 1 (+ (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow alphax 2))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))) (sqrt (/ 1 (pow (- 1 (/ 1 (- (+ (/ 1 (+ (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow alphax 2))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))) 3))))))>
#<alt (+ (sqrt (/ 1 (- 1 (/ 1 (- (+ (/ 1 (+ (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow alphax 2))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))))) (+ (* 1/2 (* (/ 1 (* u0 (- (+ (/ 1 (+ (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow alphax 2))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))) (sqrt (/ 1 (pow (- 1 (/ 1 (- (+ (/ 1 (+ (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow alphax 2))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))) 3))))) (* 1/2 (* (/ (+ (/ 1 (* (pow (- 1 (/ 1 (- (+ (/ 1 (+ (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow alphax 2))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))) 2) (- (+ (/ 1 (+ (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow alphax 2))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))) (* 3/4 (/ 1 (* (pow (- 1 (/ 1 (- (+ (/ 1 (+ (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow alphax 2))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))) 3) (pow (- (+ (/ 1 (+ (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow alphax 2))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) 2))))) (pow u0 2)) (sqrt (- 1 (/ 1 (- (+ (/ 1 (+ (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow alphax 2))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))))))))>
#<alt (+ (sqrt (/ 1 (- 1 (/ 1 (- (+ (/ 1 (+ (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow alphax 2))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))))) (+ (* 1/2 (* (/ 1 (* u0 (- (+ (/ 1 (+ (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow alphax 2))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))) (sqrt (/ 1 (pow (- 1 (/ 1 (- (+ (/ 1 (+ (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow alphax 2))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))) 3))))) (+ (* 1/2 (* (/ (+ (/ 1 (* (pow (- 1 (/ 1 (- (+ (/ 1 (+ (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow alphax 2))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))) 2) (- (+ (/ 1 (+ (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow alphax 2))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))) (* 3/4 (/ 1 (* (pow (- 1 (/ 1 (- (+ (/ 1 (+ (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow alphax 2))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* 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#<alt (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))>
#<alt (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))>
#<alt (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))>
#<alt (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))>
#<alt (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))>
#<alt (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))>
#<alt (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))>
#<alt (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))>
#<alt (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))>
#<alt (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))>
#<alt (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))>
#<alt (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))>
#<alt (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))>
#<alt (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))>
#<alt (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))>
#<alt (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))>
#<alt (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))>
#<alt (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))>
#<alt (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))>
#<alt (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))>
#<alt (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))>
#<alt (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))>
#<alt (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))>
#<alt (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))>
#<alt (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))>
#<alt (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))>
#<alt (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))>
#<alt (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))>
#<alt (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))>
#<alt (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))>
#<alt (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))>
#<alt (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))>
#<alt (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))>
#<alt (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))>
#<alt (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))>
#<alt (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))>
#<alt (cos (* 2 (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))))>
#<alt (cos (* 2 (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))))>
#<alt (cos (* 2 (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))))>
#<alt (cos (* 2 (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))))>
#<alt (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))>
#<alt (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))>
#<alt (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))>
#<alt (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))>
#<alt (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))>
#<alt (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))>
#<alt (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))>
#<alt (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))>
#<alt (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))>
#<alt (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))>
#<alt (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))>
#<alt (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))>
#<alt (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))>
#<alt (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))>
#<alt (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))>
#<alt (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))>
#<alt (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))>
#<alt (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))>
#<alt (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))>
#<alt (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))>
#<alt (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))>
#<alt (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))>
#<alt (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))>
#<alt (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))>
#<alt (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))>
#<alt (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))>
#<alt (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))>
#<alt (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))>
#<alt (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))>
#<alt (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))>
#<alt (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))>
#<alt (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))>
#<alt (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))>
#<alt (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))>
#<alt (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))>
#<alt (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))>
#<alt (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))>
#<alt (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))>
#<alt (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))>
#<alt (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))>
#<alt (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))>
#<alt (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))>
#<alt (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))>
#<alt (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))>
#<alt (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))>
#<alt (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))>
#<alt (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))>
#<alt (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))>
#<alt (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))>
#<alt (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))>
#<alt (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))>
#<alt (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))>
#<alt (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))>
#<alt (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))>
#<alt (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))>
#<alt (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))>
#<alt (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))>
#<alt (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))>
#<alt (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))>
#<alt (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))>
Calls

207 calls:

TimeVariablePointExpression
78.0ms
u1
@0
(exp (* (log (+ 1 (/ u0 (* (+ (/ 1 (+ (* alphax alphax) (pow (* alphax (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2))))) 2))) (/ (- 1 (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2)))) (* alphay alphay))) (- 1 u0))))) -1/2))
50.0ms
u1
@-inf
(* (log (+ 1 (/ u0 (* (+ (/ 1 (+ (* alphax alphax) (pow (* alphax (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2))))) 2))) (/ (- 1 (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2)))) (* alphay alphay))) (- 1 u0))))) -1/2)
47.0ms
u1
@inf
(* (log (+ 1 (/ u0 (* (+ (/ 1 (+ (* alphax alphax) (pow (* alphax (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2))))) 2))) (/ (- 1 (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2)))) (* alphay alphay))) (- 1 u0))))) -1/2)
24.0ms
u1
@0
(* (log (+ 1 (/ u0 (* (+ (/ 1 (+ (* alphax alphax) (pow (* alphax (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2))))) 2))) (/ (- 1 (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2)))) (* alphay alphay))) (- 1 u0))))) -1/2)
19.0ms
alphay
@inf
(/ 1 (sqrt (+ (* (* alphay alphay) (/ u0 (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))) 1)))

rewrite328.0ms (1.5%)

Memory
12.7MiB live, 518.9MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 164×*-lowering-*.f32
4 164×*-lowering-*.f64
3 038×pow-lowering-pow.f64
3 038×pow-lowering-pow.f32
2 910×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067521
1427519
23931511
08250474
Stop Event
iter limit
node limit
Counts
26 → 443
Calls
Call 1
Inputs
(exp (* (log (+ 1 (/ u0 (* (+ (/ 1 (+ (* alphax alphax) (pow (* alphax (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2))))) 2))) (/ (- 1 (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2)))) (* alphay alphay))) (- 1 u0))))) -1/2))
(* alphax (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))))
(* (log (+ 1 (/ u0 (* (+ (/ 1 (+ (* alphax alphax) (pow (* alphax (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2))))) 2))) (/ (- 1 (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2)))) (* alphay alphay))) (- 1 u0))))) -1/2)
(log (+ 1 (/ u0 (* (+ (/ 1 (+ (* alphax alphax) (pow (* alphax (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2))))) 2))) (/ (- 1 (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2)))) (* alphay alphay))) (- 1 u0)))))
(+ (* -1/2 (/ (* (* alphax alphax) u0) (- 1 u0))) 1)
(/ (* (* alphax alphax) u0) (- 1 u0))
(* (* alphax alphax) u0)
(* alphax alphax)
(/ (neg u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax))))))
(+ (* (* alphay alphay) (/ (neg u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax))))))) 1)
(* alphay alphay)
(neg u0)
(sqrt (/ 1 (+ (* 2 (/ (* (* alphay alphay) u0) (* (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax))))) (- 1 u0)))) 1)))
(/ 1 (+ (* 2 (/ (* (* alphay alphay) u0) (* (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax))))) (- 1 u0)))) 1))
(+ (* 2 (/ (* (* alphay alphay) u0) (* (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax))))) (- 1 u0)))) 1)
(/ (* (* alphay alphay) u0) (* (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax))))) (- 1 u0)))
(/ 1 (sqrt (+ (* (* alphay alphay) (/ u0 (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))) 1)))
(sqrt (+ (* (* alphay alphay) (/ u0 (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))) 1))
(+ (* (* alphay alphay) (/ u0 (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))) 1)
(PI)
(tan (* (PI) (+ (* 2 u1) 1/2)))
(- 1 u0)
(atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax))))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
Outputs
(exp.f32 (*.f32 (log1p.f32 (/.f32 u0 (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 alphax alphax (pow.f32 (*.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32)) #s(literal 2 binary32)))) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) alphax)) #s(literal 2 binary32))))) (*.f32 alphay alphay))) (-.f32 #s(literal 1 binary32) u0)))) #s(literal -1/2 binary32)))
(exp.f32 (*.f32 (log.f32 (exp.f32 #s(literal -1/2 binary32))) (log1p.f32 (/.f32 u0 (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 alphax alphax (pow.f32 (*.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32)) #s(literal 2 binary32)))) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) alphax)) #s(literal 2 binary32))))) (*.f32 alphay alphay))) (-.f32 #s(literal 1 binary32) u0))))))
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 alphax alphax (pow.f32 (*.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32)) #s(literal 2 binary32)))) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) alphax)) #s(literal 2 binary32))))) (*.f32 alphay alphay))) (-.f32 #s(literal 1 binary32) u0)))) #s(literal -1/2 binary32))
(pow.f32 (exp.f32 #s(literal -1/2 binary32)) (log1p.f32 (/.f32 u0 (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 alphax alphax (pow.f32 (*.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32)) #s(literal 2 binary32)))) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) alphax)) #s(literal 2 binary32))))) (*.f32 alphay alphay))) (-.f32 #s(literal 1 binary32) u0)))))
(pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 alphax alphax (pow.f32 (*.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32)) #s(literal 2 binary32)))) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) alphax)) #s(literal 2 binary32))))) (*.f32 alphay alphay))) (-.f32 #s(literal 1 binary32) u0)))) #s(literal -1/4 binary32)) #s(literal 2 binary32))
(pow.f32 (*.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 alphax alphax (pow.f32 (*.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32)) #s(literal 2 binary32)))) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) alphax)) #s(literal 2 binary32))))) (*.f32 alphay alphay))) (-.f32 #s(literal 1 binary32) u0)))) (+.f32 #s(literal 1 binary32) (/.f32 u0 (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 alphax alphax (pow.f32 (*.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32)) #s(literal 2 binary32)))) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) alphax)) #s(literal 2 binary32))))) (*.f32 alphay alphay))) (-.f32 #s(literal 1 binary32) u0))))) #s(literal -1/4 binary32))
(/.f32 (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (log1p.f32 (pow.f32 (/.f32 u0 (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 alphax alphax (pow.f32 (*.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32)) #s(literal 2 binary32)))) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) alphax)) #s(literal 2 binary32))))) (*.f32 alphay alphay))) (-.f32 #s(literal 1 binary32) u0))) #s(literal 3 binary32)))) (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (log1p.f32 (*.f32 (/.f32 u0 (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 alphax alphax (pow.f32 (*.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32)) #s(literal 2 binary32)))) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) alphax)) #s(literal 2 binary32))))) (*.f32 alphay alphay))) (-.f32 #s(literal 1 binary32) u0))) (-.f32 (/.f32 u0 (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 alphax alphax (pow.f32 (*.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32)) #s(literal 2 binary32)))) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) alphax)) #s(literal 2 binary32))))) (*.f32 alphay alphay))) (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32))))))
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(neg.f32 (atan.f32 (/.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (neg.f32 alphay)) alphax)))
(atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) alphax)))
(cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) alphax)))))
(cos.f32 (+.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) alphax))) (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) alphax)))))
(+.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) alphax))))))) (neg.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) alphax)))))))))
(+.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) alphax))))))) (*.f32 (neg.f32 (sin.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) alphax))))) (sin.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) alphax))))))
(fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) alphax)) #s(literal 2 binary32))))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) alphax)) #s(literal 2 binary32))))) (neg.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) alphax)))))))))
(fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) alphax)) #s(literal 2 binary32))))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) alphax)) #s(literal 2 binary32))))) (*.f32 (neg.f32 (sin.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) alphax))))) (sin.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) alphax))))))
(-.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) alphax))))))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) alphax))))))))
(/.f32 (-.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) alphax)) #s(literal 2 binary32))))) #s(literal 6 binary32)) (pow.f32 (sin.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) alphax)))) #s(literal 6 binary32))) (+.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) alphax)) #s(literal 2 binary32))))) #s(literal 4 binary32)) (+.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) alphax)))) #s(literal 4 binary32)) (pow.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) alphax)) #s(literal 2 binary32))))) (sin.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) alphax))))) #s(literal 2 binary32)))))
(/.f32 (-.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) alphax)) #s(literal 2 binary32))))) #s(literal 4 binary32)) (pow.f32 (sin.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) alphax)))) #s(literal 4 binary32))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) alphax))))))
(*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) alphax))))) #s(literal 1 binary32))
(*.f32 (+.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) alphax)) #s(literal 2 binary32))))) (sin.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) alphax))))) (-.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) alphax)) #s(literal 2 binary32))))) (sin.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) alphax))))))
(neg.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (neg.f32 alphax))))
(neg.f32 (atan.f32 (/.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (neg.f32 alphay)) alphax)))
(atan.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax)))
(exp.f32 (log.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax))))))
(sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax))))
(pow.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax)))) #s(literal 1 binary32))
(pow.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax))))))) #s(literal 1/2 binary32))
(pow.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax)) #s(literal 2 binary32)))) (*.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax))) #s(literal -1 binary32))
(pow.f32 (sqrt.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax))))) #s(literal 2 binary32))
(pow.f32 (*.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax)) #s(literal 2 binary32)))) (/.f32 alphax (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))))) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax)) #s(literal 2 binary32)))) (*.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax))))
(/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax)) #s(literal 2 binary32)))) (/.f32 alphax (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))))))
(/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (*.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax)) #s(literal 2 binary32)))) alphax))
(/.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax)) (sqrt.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax)) #s(literal 2 binary32)))))
(/.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (neg.f32 alphay)) (*.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax)) #s(literal 2 binary32)))) (neg.f32 alphax)))
(/.f32 (neg.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax))) (neg.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax)) #s(literal 2 binary32))))))
(/.f32 (exp.f32 (log.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax)))) (exp.f32 (*.f32 #s(literal 1/2 binary32) (log1p.f32 (pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax)) #s(literal 2 binary32))))))
(*.f32 alphay (/.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) alphax) (sqrt.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax)) #s(literal 2 binary32))))))
(*.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (/.f32 (/.f32 #s(literal 1 binary32) alphax) (sqrt.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax)) #s(literal 2 binary32))))))
(*.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax)) #s(literal 2 binary32))))))
(*.f32 (sqrt.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax))))) (sqrt.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax))))))

simplify1.2s (5.2%)

Memory
35.1MiB live, 1 756.1MiB allocated
Algorithm
egg-herbie
Rules
7 318×*-lowering-*.f32
7 318×*-lowering-*.f64
4 770×accelerator-lowering-fma.f32
4 770×accelerator-lowering-fma.f64
3 266×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02032111771
16748111220
08093104488
Stop Event
iter limit
node limit
Counts
828 → 828
Calls
Call 1
Inputs
1
(+ 1 (* -1/2 (/ u0 (- (+ (/ 1 (+ (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow alphax 2))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))))
(+ 1 (* u0 (- (* 1/2 (* u0 (- (* 3/4 (/ 1 (pow (- (+ (/ 1 (+ (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow alphax 2))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) 2))) (/ 1 (- (+ (/ 1 (+ (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow alphax 2))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))))) (* 1/2 (/ 1 (- (+ (/ 1 (+ (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow alphax 2))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))))))
(+ 1 (* u0 (- (* u0 (+ (* 1/2 (* u0 (- (* 2 (/ 1 (pow (- (+ (/ 1 (+ (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow alphax 2))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) 2))) (+ (* -1/2 (/ (- (* 3/4 (/ 1 (pow (- (+ (/ 1 (+ (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow alphax 2))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) 2))) (/ 1 (- (+ (/ 1 (+ (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow alphax 2))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))) (- (+ (/ 1 (+ (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow alphax 2))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))) (+ (/ 1 (- (+ (/ 1 (+ (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow alphax 2))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))))) (/ 1 (pow (- (+ (/ 1 (+ (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow alphax 2))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) 3))))))) (* 1/2 (- (* 3/4 (/ 1 (pow (- (+ (/ 1 (+ (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow alphax 2))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) 2))) (/ 1 (- (+ (/ 1 (+ (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow alphax 2))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))))))))) (* 1/2 (/ 1 (- (+ (/ 1 (+ (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow alphax 2))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))))))
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(pow alphax 2) (* (cos (* 1/2 (PI))) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2))))) (* 2 (/ (* (pow alphay 2) (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (* (cos (* 1/2 (PI))) (pow (+ (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)) (pow alphax 2)) 2))))) 2)) (* (pow (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (+ (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)) (pow alphax 2))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))))))) 3) (* (pow (- 1 u0) 2) (pow (- (+ (/ 1 (+ (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)) (pow alphax 2))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 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(/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))))) 2)))))))) (sqrt (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (+ (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)) (pow alphax 2))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))))))))))))))))
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(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (cos (* (PI) (+ 1/2 (* 2 u1)))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (cos (* (PI) (+ 1/2 (* 2 u1)))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (cos (* (PI) (+ 1/2 (* 2 u1)))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (cos (* (PI) (+ 1/2 (* 2 u1)))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (cos (* (PI) (+ 1/2 (* 2 u1)))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (cos (* (PI) (+ 1/2 (* 2 u1)))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (cos (* (PI) (+ 1/2 (* 2 u1)))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (cos (* (PI) (+ 1/2 (* 2 u1)))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (cos (* (PI) (+ 1/2 (* 2 u1)))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (cos (* (PI) (+ 1/2 (* 2 u1)))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (cos (* (PI) (+ 1/2 (* 2 u1)))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (cos (* (PI) (+ 1/2 (* 2 u1)))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (cos (* (PI) (+ 1/2 (* 2 u1)))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (cos (* (PI) (+ 1/2 (* 2 u1)))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (cos (* (PI) (+ 1/2 (* 2 u1)))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (cos (* (PI) (+ 1/2 (* 2 u1)))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (cos (* (PI) (+ 1/2 (* 2 u1)))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (cos (* (PI) (+ 1/2 (* 2 u1)))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (cos (* (PI) (+ 1/2 (* 2 u1)))))
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(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (cos (* (PI) (+ 1/2 (* 2 u1)))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (cos (* (PI) (+ 1/2 (* 2 u1)))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (cos (* (PI) (+ 1/2 (* 2 u1)))))
(/ (* alphay (sin (* 1/2 (PI)))) (cos (* 1/2 (PI))))
(+ (* alphay (* u1 (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (/ (* alphay (sin (* 1/2 (PI)))) (cos (* 1/2 (PI)))))
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(+ (* u1 (+ (* alphay (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))) (* u1 (+ (* 2 (/ (* alphay (* (PI) (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))))) (cos (* 1/2 (PI))))) (* alphay (* u1 (- (* -4/3 (pow (PI) 3)) (+ (* -4 (/ (* (pow (PI) 2) (* (pow (sin (* 1/2 (PI))) 2) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (pow (cos (* 1/2 (PI))) 2))) (+ (* -2 (* (pow (PI) 2) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (* 4/3 (/ (* (pow (PI) 3) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))))))))) (/ (* alphay (sin (* 1/2 (PI)))) (cos (* 1/2 (PI)))))
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(* -1 (/ u0 (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))
(* -1 (/ u0 (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))
(* -1 (/ u0 (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))
(* -1 (/ u0 (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))
(* -1 (/ u0 (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))
(* -1 (/ u0 (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))
(* -1 (/ u0 (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))
(* -1 (/ u0 (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))
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1
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(* (pow alphay 2) (+ (* -1 (/ u0 (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))) (/ 1 (pow alphay 2))))
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1
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(* u0 (+ (* -1 (/ (pow alphay 2) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))) (/ 1 u0)))
(* u0 (+ (* -1 (/ (pow alphay 2) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))) (/ 1 u0)))
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(+ 1 (* -1 (/ (* (pow alphay 2) u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))
(pow alphay 2)
(pow alphay 2)
(pow alphay 2)
(pow alphay 2)
(pow alphay 2)
(pow alphay 2)
(pow alphay 2)
(pow alphay 2)
(pow alphay 2)
(pow alphay 2)
(pow alphay 2)
(pow alphay 2)
(* -1 u0)
(* -1 u0)
(* -1 u0)
(* -1 u0)
(* -1 u0)
(* -1 u0)
(* -1 u0)
(* -1 u0)
(* -1 u0)
(* -1 u0)
(* -1 u0)
(* -1 u0)
1
(+ 1 (* -1 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))
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(+ 1 (* (pow alphay 2) (+ (* -1 (/ u0 (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))) (* (pow alphay 2) (+ (* -1/2 (* (pow alphay 2) (+ (* 8 (/ (pow u0 3) (* (pow (- 1 u0) 3) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 3)))) (/ (* u0 (+ (* -4 (/ (pow u0 2) (* (pow (- 1 u0) 2) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 2)))) (/ (pow u0 2) (* (pow (- 1 u0) 2) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 2))))) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))) (* -1/2 (+ (* -4 (/ (pow u0 2) (* (pow (- 1 u0) 2) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 2)))) (/ (pow u0 2) (* (pow (- 1 u0) 2) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 2))))))))))
(* (/ (sqrt 1/2) alphay) (sqrt (/ (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) u0)))
(/ (+ (* -1/8 (* (/ 1 (* (pow alphay 2) (sqrt 1/2))) (sqrt (/ (* (pow (- 1 u0) 3) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 3)) (pow u0 3))))) (* (sqrt (/ (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) u0)) (sqrt 1/2))) alphay)
(/ (+ (* -1/2 (* (/ (+ (* -1/8 (/ (* (pow (- 1 u0) 3) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 3)) (pow u0 3))) (* 1/64 (/ (* (pow (- 1 u0) 3) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 3)) (* (pow u0 3) (pow (sqrt 1/2) 2))))) (* (pow alphay 4) (sqrt 1/2))) (sqrt (/ u0 (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))) (+ (* -1/8 (* (/ 1 (* (pow alphay 2) (sqrt 1/2))) (sqrt (/ (* (pow (- 1 u0) 3) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 3)) (pow u0 3))))) (* (sqrt (/ (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) u0)) (sqrt 1/2)))) alphay)
(/ (+ (* -1/2 (* (/ (+ (* -1/8 (/ (* (pow (- 1 u0) 3) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 3)) (pow u0 3))) (* 1/64 (/ (* (pow (- 1 u0) 3) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 3)) (* (pow u0 3) (pow (sqrt 1/2) 2))))) (* (pow alphay 4) (sqrt 1/2))) (sqrt (/ u0 (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))) (+ (* -1/2 (* (/ (+ (* 1/16 (/ (* (pow (- 1 u0) 4) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 4)) (pow u0 4))) (* 1/8 (/ (* (+ (* -1/8 (/ (* (pow (- 1 u0) 3) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 3)) (pow u0 3))) (* 1/64 (/ (* (pow (- 1 u0) 3) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 3)) (* (pow u0 3) (pow (sqrt 1/2) 2))))) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))) (* u0 (pow (sqrt 1/2) 2))))) (* (pow alphay 6) (sqrt 1/2))) (sqrt (/ u0 (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))) (+ (* -1/8 (* (/ 1 (* (pow alphay 2) (sqrt 1/2))) (sqrt (/ (* (pow (- 1 u0) 3) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 3)) (pow u0 3))))) (* (sqrt (/ (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) u0)) (sqrt 1/2))))) alphay)
(* -1 (* (/ (sqrt 1/2) alphay) (sqrt (/ (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) u0))))
(* -1 (/ (+ (* -1/8 (* (/ 1 (* (pow alphay 2) (sqrt 1/2))) (sqrt (/ (* (pow (- 1 u0) 3) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 3)) (pow u0 3))))) (* (sqrt (/ (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) u0)) (sqrt 1/2))) alphay))
(* -1 (/ (+ (* -1/2 (* (/ (+ (* -1/8 (/ (* (pow (- 1 u0) 3) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 3)) (pow u0 3))) (* 1/64 (/ (* (pow (- 1 u0) 3) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 3)) (* (pow u0 3) (pow (sqrt 1/2) 2))))) (* (pow alphay 4) (sqrt 1/2))) (sqrt (/ u0 (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))) (+ (* -1/8 (* (/ 1 (* (pow alphay 2) (sqrt 1/2))) (sqrt (/ (* (pow (- 1 u0) 3) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 3)) (pow u0 3))))) (* (sqrt (/ (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) u0)) (sqrt 1/2)))) alphay))
(* -1 (/ (+ (* -1/2 (* (/ (+ (* -1/8 (/ (* (pow (- 1 u0) 3) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 3)) (pow u0 3))) (* 1/64 (/ (* (pow (- 1 u0) 3) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 3)) (* (pow u0 3) (pow (sqrt 1/2) 2))))) (* (pow alphay 4) (sqrt 1/2))) (sqrt (/ u0 (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))) (+ (* -1/2 (* (/ (+ (* 1/16 (/ (* (pow (- 1 u0) 4) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 4)) (pow u0 4))) (* 1/8 (/ (* (+ (* -1/8 (/ (* (pow (- 1 u0) 3) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 3)) (pow u0 3))) (* 1/64 (/ (* (pow (- 1 u0) 3) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 3)) (* (pow u0 3) (pow (sqrt 1/2) 2))))) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))) (* u0 (pow (sqrt 1/2) 2))))) (* (pow alphay 6) (sqrt 1/2))) (sqrt (/ u0 (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))) (+ (* -1/8 (* (/ 1 (* (pow alphay 2) (sqrt 1/2))) (sqrt (/ (* (pow (- 1 u0) 3) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 3)) (pow u0 3))))) (* (sqrt (/ (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) u0)) (sqrt 1/2))))) alphay))
1
(+ 1 (* -1 (/ (* (pow alphay 2) u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))
(+ 1 (* u0 (+ (* -1 (/ (pow alphay 2) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))) (* -1/2 (* u0 (+ (* -4 (/ (pow alphay 4) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 2))) (+ (* 2 (/ (pow alphay 2) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))) (/ (pow alphay 4) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 2)))))))))
(+ 1 (* u0 (+ (* -1 (/ (pow alphay 2) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))) (* u0 (+ (* -1/2 (* u0 (+ (* -4 (/ (pow alphay 4) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 2))) (+ (* -2 (/ (* (pow alphay 2) (+ (* -4 (/ (pow alphay 4) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 2))) (* 2 (/ (pow alphay 2) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))) (+ (* 2 (/ (pow alphay 2) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))) (/ (* (pow alphay 2) (+ (* -4 (/ (pow alphay 4) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 2))) (+ (* 2 (/ (pow alphay 2) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))) (/ (pow alphay 4) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 2))))) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))))) (* -1/2 (+ (* -4 (/ (pow alphay 4) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 2))) (+ (* 2 (/ (pow alphay 2) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))) (/ (pow alphay 4) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 2))))))))))
(sqrt (/ 1 (+ 1 (* -2 (/ (pow alphay 2) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))))
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1
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1
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(+ 1 (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))
(/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))
(/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))
(/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))
(/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))
(/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))
(/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))
(/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))
(/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))
(/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))
(/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))
(/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))
(/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))
(/ (* (pow alphay 2) u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))
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(* -1 (/ (pow alphay 2) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))
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(/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))
(/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))
(/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))
(/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))
(/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))
(/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))
(/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))
(/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax)))))))
(/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax)))))))
(/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax)))))))
(/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax)))))))
(/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))
(/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))
(/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))
(/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))
(/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))
(/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))
(/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))
(/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))
(/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))
(/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))
(/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))
(/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))
1
(+ 1 (* -1/2 (/ (* (pow alphay 2) u0) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))))
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(* (/ (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) alphay) (sqrt (/ 1 u0)))
(/ (+ (* -1/2 (* (/ (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 3) (pow alphay 2)) (sqrt (/ 1 (pow u0 3))))) (* (sqrt (/ 1 u0)) (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))))) alphay)
(/ (+ (* -1/2 (* (/ (+ (* -1 (/ (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 6) (pow u0 3))) (* 1/4 (/ (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 6) (pow u0 3)))) (* (pow alphay 4) (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))))) (sqrt u0))) (+ (* -1/2 (* (/ (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 3) (pow alphay 2)) (sqrt (/ 1 (pow u0 3))))) (* (sqrt (/ 1 u0)) (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))))) alphay)
(/ (+ (* -1/2 (* (/ (+ (* -1 (/ (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 6) (pow u0 3))) (* 1/4 (/ (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 6) (pow u0 3)))) (* (pow alphay 4) (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))))) (sqrt u0))) (+ (* -1/2 (* (/ (+ (* 1/2 (/ (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (+ (* -1 (/ (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 6) (pow u0 3))) (* 1/4 (/ (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 6) (pow u0 3))))) u0)) (/ (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 8) (pow u0 4))) (* (pow alphay 6) (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))))) (sqrt u0))) (+ (* -1/2 (* (/ (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 3) (pow alphay 2)) (sqrt (/ 1 (pow u0 3))))) (* (sqrt (/ 1 u0)) (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))))))) alphay)
(* -1 (* (/ (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) alphay) (sqrt (/ 1 u0))))
(* -1 (/ (+ (* -1/2 (* (/ (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 3) (pow alphay 2)) (sqrt (/ 1 (pow u0 3))))) (* (sqrt (/ 1 u0)) (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))))) alphay))
(* -1 (/ (+ (* -1/2 (* (/ (+ (* -1 (/ (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 6) (pow u0 3))) (* 1/4 (/ (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 6) (pow u0 3)))) (* (pow alphay 4) (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))))) (sqrt u0))) (+ (* -1/2 (* (/ (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 3) (pow alphay 2)) (sqrt (/ 1 (pow u0 3))))) (* (sqrt (/ 1 u0)) (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))))) alphay))
(* -1 (/ (+ (* -1/2 (* (/ (+ (* -1 (/ (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 6) (pow u0 3))) (* 1/4 (/ (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 6) (pow u0 3)))) (* (pow alphay 4) (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))))) (sqrt u0))) (+ (* -1/2 (* (/ (+ (* 1/2 (/ (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (+ (* -1 (/ (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 6) (pow u0 3))) (* 1/4 (/ (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 6) (pow u0 3))))) u0)) (/ (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 8) (pow u0 4))) (* (pow alphay 6) (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))))) (sqrt u0))) (+ (* -1/2 (* (/ (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 3) (pow alphay 2)) (sqrt (/ 1 (pow u0 3))))) (* (sqrt (/ 1 u0)) (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))))))) alphay))
1
(+ 1 (* -1/2 (/ (* (pow alphay 2) u0) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))))
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(+ 1 (* u0 (+ (* -1/2 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))) (* u0 (+ (* -1/2 (* u0 (+ (* 1/2 (/ (* (pow alphay 2) (+ (* -1 (/ (pow alphay 4) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 4))) (* 1/4 (/ (pow alphay 4) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 4))))) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))) (/ (pow alphay 6) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 6))))) (* -1/2 (+ (* -1 (/ (pow alphay 4) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 4))) (* 1/4 (/ (pow alphay 4) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 4))))))))))
(* (/ (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) alphay) (sqrt (/ 1 u0)))
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(* (/ (* (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) (pow (sqrt -1) 2)) alphay) (sqrt (/ 1 u0)))
(+ (* -1/2 (* (/ (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 3) (pow alphay 3)) (sqrt (/ 1 (pow u0 3))))) (* (/ (* (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) (pow (sqrt -1) 2)) alphay) (sqrt (/ 1 u0))))
(+ (* -1/2 (* (/ (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 3) (pow alphay 3)) (sqrt (/ 1 (pow u0 3))))) (+ (* 1/2 (* (/ (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 5) (pow alphay 5)) (sqrt (/ 1 (pow u0 5))))) (* (/ (* (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) (pow (sqrt -1) 2)) alphay) (sqrt (/ 1 u0)))))
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(sqrt (/ 1 (+ 1 (/ (* (pow alphay 2) u0) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2)))))
(sqrt (/ 1 (+ 1 (/ (* (pow alphay 2) u0) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2)))))
(sqrt (/ 1 (+ 1 (/ (* (pow alphay 2) u0) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2)))))
(sqrt (/ 1 (+ 1 (/ (* (pow alphay 2) u0) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2)))))
(sqrt (/ 1 (+ 1 (/ (* (pow alphay 2) u0) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2)))))
(sqrt (/ 1 (+ 1 (/ (* (pow alphay 2) u0) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2)))))
(sqrt (/ 1 (+ 1 (/ (* (pow alphay 2) u0) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2)))))
(sqrt (/ 1 (+ 1 (/ (* (pow alphay 2) u0) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2)))))
(sqrt (/ 1 (+ 1 (/ (* (pow alphay 2) u0) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2)))))
(sqrt (/ 1 (+ 1 (/ (* (pow alphay 2) u0) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2)))))
(sqrt (/ 1 (+ 1 (/ (* (pow alphay 2) u0) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2)))))
(sqrt (/ 1 (+ 1 (/ (* (pow alphay 2) u0) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2)))))
1
(+ 1 (* 1/2 (/ (* (pow alphay 2) u0) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))))
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(* (/ alphay (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))) (sqrt u0))
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1
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(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
Outputs
1
#s(literal 1 binary32)
(+ 1 (* -1/2 (/ u0 (- (+ (/ 1 (+ (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow alphax 2))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))))
(fma.f32 #s(literal -1/2 binary32) (/.f32 u0 (+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 alphay alphay) (/.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)) (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32))) (*.f32 alphax alphax))) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 alphay alphay) (fma.f32 (*.f32 alphay alphay) (/.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)) (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)) (*.f32 alphax alphax))) #s(literal 1 binary32))))))) #s(literal 1 binary32))
(+ 1 (* u0 (- (* 1/2 (* u0 (- (* 3/4 (/ 1 (pow (- (+ (/ 1 (+ (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow alphax 2))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) 2))) (/ 1 (- (+ (/ 1 (+ (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow alphax 2))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))))) (* 1/2 (/ 1 (- (+ (/ 1 (+ (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow alphax 2))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))))))
(fma.f32 u0 (fma.f32 (*.f32 u0 #s(literal 1/2 binary32)) (-.f32 (/.f32 #s(literal 3/4 binary32) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 alphay alphay) (/.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)) (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32))) (*.f32 alphax alphax))) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 alphay alphay) (fma.f32 (*.f32 alphay alphay) (/.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)) (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)) (*.f32 alphax alphax))) #s(literal 1 binary32)))))) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 alphay alphay) (/.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)) (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32))) (*.f32 alphax alphax))) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 alphay alphay) (fma.f32 (*.f32 alphay alphay) (/.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)) (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)) (*.f32 alphax alphax))) #s(literal 1 binary32)))))))) (neg.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 alphay alphay) (/.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)) (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32))) (*.f32 alphax alphax))) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 alphay alphay) (fma.f32 (*.f32 alphay alphay) (/.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)) (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)) (*.f32 alphax alphax))) #s(literal 1 binary32))))))))) #s(literal 1 binary32))
(+ 1 (* u0 (- (* u0 (+ (* 1/2 (* u0 (- (* 2 (/ 1 (pow (- (+ (/ 1 (+ (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow alphax 2))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) 2))) (+ (* -1/2 (/ (- (* 3/4 (/ 1 (pow (- (+ (/ 1 (+ (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow alphax 2))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) 2))) (/ 1 (- (+ (/ 1 (+ (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow alphax 2))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))) (- (+ (/ 1 (+ (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow alphax 2))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))) (+ (/ 1 (- (+ (/ 1 (+ (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow alphax 2))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))))) (/ 1 (pow (- (+ (/ 1 (+ (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow alphax 2))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) 3))))))) (* 1/2 (- (* 3/4 (/ 1 (pow (- (+ (/ 1 (+ (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow alphax 2))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) 2))) (/ 1 (- (+ (/ 1 (+ (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow alphax 2))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))))))))) (* 1/2 (/ 1 (- (+ (/ 1 (+ (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow alphax 2))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))))))
(fma.f32 u0 (fma.f32 u0 (*.f32 #s(literal 1/2 binary32) (fma.f32 u0 (-.f32 (/.f32 #s(literal 2 binary32) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 alphay alphay) (/.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)) (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32))) (*.f32 alphax alphax))) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 alphay alphay) (fma.f32 (*.f32 alphay alphay) (/.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)) (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)) (*.f32 alphax alphax))) #s(literal 1 binary32)))))) #s(literal 2 binary32))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (-.f32 (/.f32 #s(literal 3/4 binary32) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 alphay alphay) (/.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)) (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32))) (*.f32 alphax alphax))) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 alphay alphay) (fma.f32 (*.f32 alphay alphay) (/.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)) (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)) (*.f32 alphax alphax))) #s(literal 1 binary32)))))) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 alphay alphay) (/.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)) (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32))) (*.f32 alphax alphax))) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 alphay alphay) (fma.f32 (*.f32 alphay alphay) (/.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)) (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)) (*.f32 alphax alphax))) #s(literal 1 binary32)))))))) (+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 alphay alphay) (/.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)) (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32))) (*.f32 alphax alphax))) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 alphay alphay) (fma.f32 (*.f32 alphay alphay) (/.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)) (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)) (*.f32 alphax alphax))) #s(literal 1 binary32))))))) (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 alphay alphay) (/.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)) (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32))) (*.f32 alphax alphax))) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 alphay alphay) (fma.f32 (*.f32 alphay alphay) (/.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)) (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)) (*.f32 alphax alphax))) #s(literal 1 binary32))))))) (/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 alphay alphay) (/.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)) (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32))) (*.f32 alphax alphax))) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 alphay alphay) (fma.f32 (*.f32 alphay alphay) (/.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)) (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)) (*.f32 alphax alphax))) #s(literal 1 binary32)))))) #s(literal 3 binary32)))))) (-.f32 (/.f32 #s(literal 3/4 binary32) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 alphay alphay) (/.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)) (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32))) (*.f32 alphax alphax))) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 alphay alphay) (fma.f32 (*.f32 alphay alphay) (/.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)) (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 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(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (cos (* (PI) (+ 1/2 (* 2 u1)))))
(/.f32 (*.f32 alphay (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))
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(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (cos (* (PI) (+ 1/2 (* 2 u1)))))
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(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (cos (* (PI) (+ 1/2 (* 2 u1)))))
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(/ (* alphay (sin (* (PI) (- 1/2 (* -2 u1))))) (cos (* (PI) (- 1/2 (* -2 u1)))))
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(* -1/2 (log (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (+ (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow alphax 2))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))))))
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(* -1/2 (log (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (+ (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow alphax 2))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))))))
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(* -1/2 (log (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (+ (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow alphax 2))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))))))
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(* -1/2 (log (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (+ (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow alphax 2))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))))))
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(* -1/2 (log (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (+ (/ (* (pow alphay 2) (pow (sin (* (PI) (- 1/2 (* -2 u1)))) 2)) (pow (cos (* (PI) (- 1/2 (* -2 u1)))) 2)) (pow alphax 2))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (- 1/2 (* -2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (- 1/2 (* -2 u1)))) 2))))))))))))
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(* -1/2 (log (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (+ (/ (* (pow alphay 2) (pow (sin (* (PI) (- 1/2 (* -2 u1)))) 2)) (pow (cos (* (PI) (- 1/2 (* -2 u1)))) 2)) (pow alphax 2))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (- 1/2 (* -2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (- 1/2 (* -2 u1)))) 2))))))))))))
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(* -1/2 (log (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (+ (/ (* (pow alphay 2) (pow (sin (* (PI) (- 1/2 (* -2 u1)))) 2)) (pow (cos (* (PI) (- 1/2 (* -2 u1)))) 2)) (pow alphax 2))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (- 1/2 (* -2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (- 1/2 (* -2 u1)))) 2))))))))))))
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(log (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (+ (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow alphax 2))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))))))))
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1
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#s(literal 1 binary32)
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1
#s(literal 1 binary32)
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1
#s(literal 1 binary32)
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(/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))
(/.f32 (*.f32 u0 (*.f32 alphay alphay)) (*.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax)))))))
(/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax)))))))
(/.f32 (*.f32 u0 (*.f32 alphay alphay)) (*.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax)))))))
(/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax)))))))
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(/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax)))))))
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(/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax)))))))
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(/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))
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(/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))
(/.f32 (*.f32 u0 (*.f32 alphay alphay)) (*.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax)))))))
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(/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))
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(/.f32 (*.f32 u0 (*.f32 alphay alphay)) (*.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax)))))))
(/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))
(/.f32 (*.f32 u0 (*.f32 alphay alphay)) (*.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax)))))))
(/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))
(/.f32 (*.f32 u0 (*.f32 alphay alphay)) (*.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax)))))))
(/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))
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(/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))
(/.f32 (*.f32 u0 (*.f32 alphay alphay)) (*.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax)))))))
(/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))
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(/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))
(/.f32 (*.f32 u0 (*.f32 alphay alphay)) (*.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax)))))))
(/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))
(/.f32 (*.f32 u0 (*.f32 alphay alphay)) (*.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax)))))))
1
#s(literal 1 binary32)
(+ 1 (* -1/2 (/ (* (pow alphay 2) u0) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))))
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(* (/ (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) alphay) (sqrt (/ 1 u0)))
(/.f32 (*.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u0))) alphay)
(/ (+ (* -1/2 (* (/ (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 3) (pow alphay 2)) (sqrt (/ 1 (pow u0 3))))) (* (sqrt (/ 1 u0)) (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))))) alphay)
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(/ (+ (* -1/2 (* (/ (+ (* -1 (/ (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 6) (pow u0 3))) (* 1/4 (/ (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 6) (pow u0 3)))) (* (pow alphay 4) (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))))) (sqrt u0))) (+ (* -1/2 (* (/ (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 3) (pow alphay 2)) (sqrt (/ 1 (pow u0 3))))) (* (sqrt (/ 1 u0)) (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))))) alphay)
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(/ (+ (* -1/2 (* (/ (+ (* -1 (/ (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 6) (pow u0 3))) (* 1/4 (/ (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 6) (pow u0 3)))) (* (pow alphay 4) (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))))) (sqrt u0))) (+ (* -1/2 (* (/ (+ (* 1/2 (/ (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (+ (* -1 (/ (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 6) (pow u0 3))) (* 1/4 (/ (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 6) (pow u0 3))))) u0)) (/ (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 8) (pow u0 4))) (* (pow alphay 6) (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))))) (sqrt u0))) (+ (* -1/2 (* (/ (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 3) (pow alphay 2)) (sqrt (/ 1 (pow u0 3))))) (* (sqrt (/ 1 u0)) (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))))))) alphay)
(/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (*.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))) #s(literal 6 binary32)) (*.f32 u0 (*.f32 u0 u0))) #s(literal -3/4 binary32)) (sqrt.f32 u0)) (*.f32 (pow.f32 alphay #s(literal 4 binary32)) (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))) #s(literal 2 binary32)) (*.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))) #s(literal 6 binary32)) (*.f32 u0 (*.f32 u0 u0))) #s(literal -3/4 binary32))) u0) (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))) #s(literal 8 binary32)) (pow.f32 u0 #s(literal 4 binary32)))) (sqrt.f32 u0)) (*.f32 (pow.f32 alphay #s(literal 6 binary32)) (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))) #s(literal 3 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u0 (*.f32 u0 u0))))) (*.f32 alphay alphay)) (*.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u0)))))) alphay)
(* -1 (* (/ (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) alphay) (sqrt (/ 1 u0))))
(*.f32 (/.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))) alphay) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u0))))
(* -1 (/ (+ (* -1/2 (* (/ (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 3) (pow alphay 2)) (sqrt (/ 1 (pow u0 3))))) (* (sqrt (/ 1 u0)) (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))))) alphay))
(neg.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))) #s(literal 3 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u0 (*.f32 u0 u0))))) (*.f32 alphay alphay)) (*.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u0)))) alphay))
(* -1 (/ (+ (* -1/2 (* (/ (+ (* -1 (/ (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 6) (pow u0 3))) (* 1/4 (/ (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 6) (pow u0 3)))) (* (pow alphay 4) (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))))) (sqrt u0))) (+ (* -1/2 (* (/ (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 3) (pow alphay 2)) (sqrt (/ 1 (pow u0 3))))) (* (sqrt (/ 1 u0)) (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))))) alphay))
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1
#s(literal 1 binary32)
(+ 1 (* -1/2 (/ (* (pow alphay 2) u0) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))))
(fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 u0 (*.f32 alphay alphay)) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))) #s(literal 2 binary32))) #s(literal 1 binary32))
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(* (/ (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) alphay) (sqrt (/ 1 u0)))
(/.f32 (*.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u0))) alphay)
(+ (* -1/2 (* (/ (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 3) (pow alphay 3)) (sqrt (/ 1 (pow u0 3))))) (* (/ (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) alphay) (sqrt (/ 1 u0))))
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(+ (* -1/2 (* (/ (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 3) (pow alphay 3)) (sqrt (/ 1 (pow u0 3))))) (+ (* 1/2 (* (/ (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 5) (pow alphay 5)) (sqrt (/ 1 (pow u0 5))))) (* (/ (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) alphay) (sqrt (/ 1 u0)))))
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(* (/ (* (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) (pow (sqrt -1) 2)) alphay) (sqrt (/ 1 u0)))
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u0)) (*.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))) (/.f32 #s(literal -1 binary32) alphay)))
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(sqrt (/ 1 (+ 1 (/ (* (pow alphay 2) u0) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2)))))
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(sqrt (/ 1 (+ 1 (/ (* (pow alphay 2) u0) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2)))))
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(sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 alphay alphay) (/.f32 u0 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))) #s(literal 2 binary32))) #s(literal 1 binary32))))
(sqrt (/ 1 (+ 1 (/ (* (pow alphay 2) u0) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2)))))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 alphay alphay) (/.f32 u0 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))) #s(literal 2 binary32))) #s(literal 1 binary32))))
(sqrt (/ 1 (+ 1 (/ (* (pow alphay 2) u0) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2)))))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 alphay alphay) (/.f32 u0 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))) #s(literal 2 binary32))) #s(literal 1 binary32))))
(sqrt (/ 1 (+ 1 (/ (* (pow alphay 2) u0) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2)))))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 alphay alphay) (/.f32 u0 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))) #s(literal 2 binary32))) #s(literal 1 binary32))))
(sqrt (/ 1 (+ 1 (/ (* (pow alphay 2) u0) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2)))))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 alphay alphay) (/.f32 u0 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))) #s(literal 2 binary32))) #s(literal 1 binary32))))
(sqrt (/ 1 (+ 1 (/ (* (pow alphay 2) u0) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2)))))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 alphay alphay) (/.f32 u0 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))) #s(literal 2 binary32))) #s(literal 1 binary32))))
1
#s(literal 1 binary32)
(+ 1 (* 1/2 (/ (* (pow alphay 2) u0) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))))
(fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 u0 (*.f32 alphay alphay)) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))) #s(literal 2 binary32))) #s(literal 1 binary32))
(+ 1 (* (pow alphay 2) (+ (* -1/8 (/ (* (pow alphay 2) (pow u0 2)) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 4))) (* 1/2 (/ u0 (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))))))
(fma.f32 (*.f32 alphay alphay) (fma.f32 #s(literal 1/2 binary32) (/.f32 u0 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))) #s(literal 2 binary32))) (/.f32 (*.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 alphay alphay) (*.f32 u0 u0))) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))) #s(literal 4 binary32)))) #s(literal 1 binary32))
(+ 1 (* (pow alphay 2) (+ (* 1/2 (/ u0 (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))) (* (pow alphay 2) (+ (* -1/8 (/ (pow u0 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 4))) (* 1/16 (/ (* (pow alphay 2) (pow u0 3)) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 6))))))))
(fma.f32 (*.f32 alphay alphay) (fma.f32 (*.f32 alphay alphay) (fma.f32 #s(literal -1/8 binary32) (/.f32 (*.f32 u0 u0) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))) #s(literal 4 binary32))) (/.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 (*.f32 alphay alphay) (*.f32 u0 (*.f32 u0 u0)))) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))) #s(literal 6 binary32)))) (/.f32 (*.f32 u0 #s(literal 1/2 binary32)) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))) #s(literal 2 binary32)))) #s(literal 1 binary32))
(* (/ alphay (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))) (sqrt u0))
(/.f32 (*.f32 alphay (sqrt.f32 u0)) (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))))
(* alphay (+ (* 1/2 (* (/ (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) (pow alphay 2)) (sqrt (/ 1 u0)))) (* (sqrt u0) (/ 1 (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))))))
(*.f32 alphay (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u0))) (*.f32 alphay alphay)) (/.f32 (sqrt.f32 u0) (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))))))
(* alphay (+ (* -1/8 (* (/ (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 3) (pow alphay 4)) (sqrt (/ 1 (pow u0 3))))) (+ (* 1/2 (* (/ (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) (pow alphay 2)) (sqrt (/ 1 u0)))) (* (sqrt u0) (/ 1 (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))))))))
(*.f32 alphay (fma.f32 #s(literal -1/8 binary32) (/.f32 (*.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))) #s(literal 3 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u0 (*.f32 u0 u0))))) (pow.f32 alphay #s(literal 4 binary32))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u0))) (*.f32 alphay alphay)) (/.f32 (sqrt.f32 u0) (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax)))))))
(* alphay (+ (* -1/8 (* (/ (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 3) (pow alphay 4)) (sqrt (/ 1 (pow u0 3))))) (+ (* 1/16 (* (/ (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 5) (pow alphay 6)) (sqrt (/ 1 (pow u0 5))))) (+ (* 1/2 (* (/ (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) (pow alphay 2)) (sqrt (/ 1 u0)))) (* (sqrt u0) (/ 1 (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))))))))
(*.f32 alphay (fma.f32 #s(literal -1/8 binary32) (/.f32 (*.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))) #s(literal 3 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u0 (*.f32 u0 u0))))) (pow.f32 alphay #s(literal 4 binary32))) (fma.f32 #s(literal 1/16 binary32) (/.f32 (*.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))) #s(literal 5 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u0 #s(literal 5 binary32))))) (pow.f32 alphay #s(literal 6 binary32))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u0))) (*.f32 alphay alphay)) (/.f32 (sqrt.f32 u0) (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))))))))
(* -1 (* (/ alphay (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))) (sqrt u0)))
(neg.f32 (/.f32 (*.f32 alphay (sqrt.f32 u0)) (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax)))))
(* -1 (* alphay (+ (* 1/2 (* (/ (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) (pow alphay 2)) (sqrt (/ 1 u0)))) (* (sqrt u0) (/ 1 (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))))))))
(*.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u0))) (*.f32 alphay alphay)) (/.f32 (sqrt.f32 u0) (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))))) (neg.f32 alphay))
(* -1 (* alphay (+ (* -1/8 (* (/ (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 3) (pow alphay 4)) (sqrt (/ 1 (pow u0 3))))) (+ (* 1/2 (* (/ (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) (pow alphay 2)) (sqrt (/ 1 u0)))) (* (sqrt u0) (/ 1 (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))))))))
(*.f32 (fma.f32 #s(literal -1/8 binary32) (/.f32 (*.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))) #s(literal 3 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u0 (*.f32 u0 u0))))) (pow.f32 alphay #s(literal 4 binary32))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u0))) (*.f32 alphay alphay)) (/.f32 (sqrt.f32 u0) (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax)))))) (neg.f32 alphay))
(* -1 (* alphay (+ (* -1/8 (* (/ (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 3) (pow alphay 4)) (sqrt (/ 1 (pow u0 3))))) (+ (* 1/16 (* (/ (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 5) (pow alphay 6)) (sqrt (/ 1 (pow u0 5))))) (+ (* 1/2 (* (/ (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) (pow alphay 2)) (sqrt (/ 1 u0)))) (* (sqrt u0) (/ 1 (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))))))))))
(*.f32 (fma.f32 #s(literal -1/8 binary32) (/.f32 (*.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))) #s(literal 3 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u0 (*.f32 u0 u0))))) (pow.f32 alphay #s(literal 4 binary32))) (fma.f32 #s(literal 1/16 binary32) (/.f32 (*.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))) #s(literal 5 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u0 #s(literal 5 binary32))))) (pow.f32 alphay #s(literal 6 binary32))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u0))) (*.f32 alphay alphay)) (/.f32 (sqrt.f32 u0) (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))))))) (neg.f32 alphay))
1
#s(literal 1 binary32)
(+ 1 (* 1/2 (/ (* (pow alphay 2) u0) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))))
(fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 u0 (*.f32 alphay alphay)) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))) #s(literal 2 binary32))) #s(literal 1 binary32))
(+ 1 (* u0 (+ (* -1/8 (/ (* (pow alphay 4) u0) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 4))) (* 1/2 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))))))
(fma.f32 u0 (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))) #s(literal 2 binary32))) (/.f32 (*.f32 #s(literal -1/8 binary32) (*.f32 u0 (pow.f32 alphay #s(literal 4 binary32)))) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))) #s(literal 4 binary32)))) #s(literal 1 binary32))
(+ 1 (* u0 (+ (* 1/2 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))) (* u0 (+ (* -1/8 (/ (pow alphay 4) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 4))) (* 1/16 (/ (* (pow alphay 6) u0) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 6))))))))
(fma.f32 u0 (fma.f32 u0 (fma.f32 #s(literal -1/8 binary32) (/.f32 (pow.f32 alphay #s(literal 4 binary32)) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))) #s(literal 4 binary32))) (/.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 u0 (pow.f32 alphay #s(literal 6 binary32)))) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))) #s(literal 6 binary32)))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))) #s(literal 2 binary32)))) #s(literal 1 binary32))
(* (/ alphay (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))) (sqrt u0))
(/.f32 (*.f32 alphay (sqrt.f32 u0)) (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))))
(* u0 (+ (* 1/2 (* (/ (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) alphay) (sqrt (/ 1 (pow u0 3))))) (* (/ alphay (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))) (sqrt (/ 1 u0)))))
(*.f32 u0 (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u0 (*.f32 u0 u0))))) alphay) (/.f32 (*.f32 alphay (sqrt.f32 (/.f32 #s(literal 1 binary32) u0))) (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))))))
(* u0 (+ (* -1/8 (* (/ (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 3) (pow alphay 3)) (sqrt (/ 1 (pow u0 5))))) (+ (* 1/2 (* (/ (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) alphay) (sqrt (/ 1 (pow u0 3))))) (* (/ alphay (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))) (sqrt (/ 1 u0))))))
(*.f32 u0 (fma.f32 #s(literal -1/8 binary32) (/.f32 (*.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))) #s(literal 3 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u0 #s(literal 5 binary32))))) (*.f32 alphay (*.f32 alphay alphay))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u0 (*.f32 u0 u0))))) alphay) (/.f32 (*.f32 alphay (sqrt.f32 (/.f32 #s(literal 1 binary32) u0))) (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax)))))))
(* u0 (+ (* -1/8 (* (/ (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 3) (pow alphay 3)) (sqrt (/ 1 (pow u0 5))))) (+ (* 1/16 (* (/ (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 5) (pow alphay 5)) (sqrt (/ 1 (pow u0 7))))) (+ (* 1/2 (* (/ (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) alphay) (sqrt (/ 1 (pow u0 3))))) (* (/ alphay (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))) (sqrt (/ 1 u0)))))))
(*.f32 u0 (fma.f32 #s(literal -1/8 binary32) (/.f32 (*.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))) #s(literal 3 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u0 #s(literal 5 binary32))))) (*.f32 alphay (*.f32 alphay alphay))) (fma.f32 #s(literal 1/16 binary32) (/.f32 (*.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))) #s(literal 5 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u0 #s(literal 7 binary32))))) (pow.f32 alphay #s(literal 5 binary32))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u0 (*.f32 u0 u0))))) alphay) (/.f32 (*.f32 alphay (sqrt.f32 (/.f32 #s(literal 1 binary32) u0))) (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))))))))
(* -1 (* (/ (* alphay (pow (sqrt -1) 2)) (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))) (sqrt u0)))
(neg.f32 (/.f32 (*.f32 (neg.f32 alphay) (sqrt.f32 u0)) (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax)))))
(* -1 (* u0 (+ (* 1/2 (* (/ (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) alphay) (sqrt (/ 1 (pow u0 3))))) (* (/ (* alphay (pow (sqrt -1) 2)) (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))) (sqrt (/ 1 u0))))))
(neg.f32 (*.f32 u0 (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u0 (*.f32 u0 u0))))) alphay) (/.f32 (*.f32 (neg.f32 alphay) (sqrt.f32 (/.f32 #s(literal 1 binary32) u0))) (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax)))))))
(* -1 (* u0 (+ (* -1/8 (* (/ (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 3) (* (pow alphay 3) (pow (sqrt -1) 2))) (sqrt (/ 1 (pow u0 5))))) (+ (* 1/2 (* (/ (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) alphay) (sqrt (/ 1 (pow u0 3))))) (* (/ (* alphay (pow (sqrt -1) 2)) (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))) (sqrt (/ 1 u0)))))))
(neg.f32 (*.f32 u0 (fma.f32 #s(literal -1/8 binary32) (/.f32 (*.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))) #s(literal 3 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u0 #s(literal 5 binary32))))) (*.f32 #s(literal -1 binary32) (*.f32 alphay (*.f32 alphay alphay)))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u0 (*.f32 u0 u0))))) alphay) (/.f32 (*.f32 (neg.f32 alphay) (sqrt.f32 (/.f32 #s(literal 1 binary32) u0))) (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))))))))
(* -1 (* u0 (+ (* -1/8 (* (/ (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 3) (* (pow alphay 3) (pow (sqrt -1) 2))) (sqrt (/ 1 (pow u0 5))))) (+ (* 1/16 (* (/ (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 5) (* (pow alphay 5) (pow (sqrt -1) 4))) (sqrt (/ 1 (pow u0 7))))) (+ (* 1/2 (* (/ (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) alphay) (sqrt (/ 1 (pow u0 3))))) (* (/ (* alphay (pow (sqrt -1) 2)) (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))) (sqrt (/ 1 u0))))))))
(neg.f32 (*.f32 u0 (fma.f32 #s(literal -1/8 binary32) (/.f32 (*.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))) #s(literal 3 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u0 #s(literal 5 binary32))))) (*.f32 #s(literal -1 binary32) (*.f32 alphay (*.f32 alphay alphay)))) (fma.f32 #s(literal 1/16 binary32) (/.f32 (*.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))) #s(literal 5 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u0 #s(literal 7 binary32))))) (*.f32 (pow.f32 alphay #s(literal 5 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 4 binary32)))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u0 (*.f32 u0 u0))))) alphay) (/.f32 (*.f32 (neg.f32 alphay) (sqrt.f32 (/.f32 #s(literal 1 binary32) u0))) (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax)))))))))
(sqrt (+ 1 (/ (* (pow alphay 2) u0) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))))
(sqrt.f32 (fma.f32 (*.f32 alphay alphay) (/.f32 u0 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))) #s(literal 2 binary32))) #s(literal 1 binary32)))
(sqrt (+ 1 (/ (* (pow alphay 2) u0) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))))
(sqrt.f32 (fma.f32 (*.f32 alphay alphay) (/.f32 u0 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))) #s(literal 2 binary32))) #s(literal 1 binary32)))
(sqrt (+ 1 (/ (* (pow alphay 2) u0) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))))
(sqrt.f32 (fma.f32 (*.f32 alphay alphay) (/.f32 u0 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))) #s(literal 2 binary32))) #s(literal 1 binary32)))
(sqrt (+ 1 (/ (* (pow alphay 2) u0) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))))
(sqrt.f32 (fma.f32 (*.f32 alphay alphay) (/.f32 u0 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))) #s(literal 2 binary32))) #s(literal 1 binary32)))
(sqrt (+ 1 (/ (* (pow alphay 2) u0) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))))
(sqrt.f32 (fma.f32 (*.f32 alphay alphay) (/.f32 u0 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))) #s(literal 2 binary32))) #s(literal 1 binary32)))
(sqrt (+ 1 (/ (* (pow alphay 2) u0) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))))
(sqrt.f32 (fma.f32 (*.f32 alphay alphay) (/.f32 u0 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))) #s(literal 2 binary32))) #s(literal 1 binary32)))
(sqrt (+ 1 (/ (* (pow alphay 2) u0) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))))
(sqrt.f32 (fma.f32 (*.f32 alphay alphay) (/.f32 u0 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))) #s(literal 2 binary32))) #s(literal 1 binary32)))
(sqrt (+ 1 (/ (* (pow alphay 2) u0) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))))
(sqrt.f32 (fma.f32 (*.f32 alphay alphay) (/.f32 u0 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))) #s(literal 2 binary32))) #s(literal 1 binary32)))
(sqrt (+ 1 (/ (* (pow alphay 2) u0) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))))
(sqrt.f32 (fma.f32 (*.f32 alphay alphay) (/.f32 u0 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))) #s(literal 2 binary32))) #s(literal 1 binary32)))
(sqrt (+ 1 (/ (* (pow alphay 2) u0) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))))
(sqrt.f32 (fma.f32 (*.f32 alphay alphay) (/.f32 u0 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))) #s(literal 2 binary32))) #s(literal 1 binary32)))
(sqrt (+ 1 (/ (* (pow alphay 2) u0) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))))
(sqrt.f32 (fma.f32 (*.f32 alphay alphay) (/.f32 u0 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))) #s(literal 2 binary32))) #s(literal 1 binary32)))
(sqrt (+ 1 (/ (* (pow alphay 2) u0) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))))
(sqrt.f32 (fma.f32 (*.f32 alphay alphay) (/.f32 u0 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))) #s(literal 2 binary32))) #s(literal 1 binary32)))
1
#s(literal 1 binary32)
(+ 1 (/ (* (pow alphay 2) u0) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2)))
(fma.f32 (*.f32 alphay alphay) (/.f32 u0 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))) #s(literal 2 binary32))) #s(literal 1 binary32))
(+ 1 (/ (* (pow alphay 2) u0) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2)))
(fma.f32 (*.f32 alphay alphay) (/.f32 u0 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))) #s(literal 2 binary32))) #s(literal 1 binary32))
(+ 1 (/ (* (pow alphay 2) u0) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2)))
(fma.f32 (*.f32 alphay alphay) (/.f32 u0 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))) #s(literal 2 binary32))) #s(literal 1 binary32))
(/ (* (pow alphay 2) u0) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))
(/.f32 (*.f32 u0 (*.f32 alphay alphay)) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))) #s(literal 2 binary32)))
(* (pow alphay 2) (+ (/ 1 (pow alphay 2)) (/ u0 (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))))
(fma.f32 (*.f32 alphay alphay) (/.f32 u0 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))) #s(literal 2 binary32))) #s(literal 1 binary32))
(* (pow alphay 2) (+ (/ 1 (pow alphay 2)) (/ u0 (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))))
(fma.f32 (*.f32 alphay alphay) (/.f32 u0 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))) #s(literal 2 binary32))) #s(literal 1 binary32))
(* (pow alphay 2) (+ (/ 1 (pow alphay 2)) (/ u0 (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))))
(fma.f32 (*.f32 alphay alphay) (/.f32 u0 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))) #s(literal 2 binary32))) #s(literal 1 binary32))
(/ (* (pow alphay 2) u0) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))
(/.f32 (*.f32 u0 (*.f32 alphay alphay)) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))) #s(literal 2 binary32)))
(* (pow alphay 2) (+ (/ 1 (pow alphay 2)) (/ u0 (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))))
(fma.f32 (*.f32 alphay alphay) (/.f32 u0 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))) #s(literal 2 binary32))) #s(literal 1 binary32))
(* (pow alphay 2) (+ (/ 1 (pow alphay 2)) (/ u0 (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))))
(fma.f32 (*.f32 alphay alphay) (/.f32 u0 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))) #s(literal 2 binary32))) #s(literal 1 binary32))
(* (pow alphay 2) (+ (/ 1 (pow alphay 2)) (/ u0 (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))))
(fma.f32 (*.f32 alphay alphay) (/.f32 u0 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))) #s(literal 2 binary32))) #s(literal 1 binary32))
1
#s(literal 1 binary32)
(+ 1 (/ (* (pow alphay 2) u0) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2)))
(fma.f32 (*.f32 alphay alphay) (/.f32 u0 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))) #s(literal 2 binary32))) #s(literal 1 binary32))
(+ 1 (/ (* (pow alphay 2) u0) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2)))
(fma.f32 (*.f32 alphay alphay) (/.f32 u0 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))) #s(literal 2 binary32))) #s(literal 1 binary32))
(+ 1 (/ (* (pow alphay 2) u0) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2)))
(fma.f32 (*.f32 alphay alphay) (/.f32 u0 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))) #s(literal 2 binary32))) #s(literal 1 binary32))
(/ (* (pow alphay 2) u0) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))
(/.f32 (*.f32 u0 (*.f32 alphay alphay)) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))) #s(literal 2 binary32)))
(* u0 (+ (/ 1 u0) (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))))
(+.f32 #s(literal 1 binary32) (*.f32 u0 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))) #s(literal 2 binary32)))))
(* u0 (+ (/ 1 u0) (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))))
(+.f32 #s(literal 1 binary32) (*.f32 u0 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))) #s(literal 2 binary32)))))
(* u0 (+ (/ 1 u0) (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))))
(+.f32 #s(literal 1 binary32) (*.f32 u0 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))) #s(literal 2 binary32)))))
(/ (* (pow alphay 2) u0) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))
(/.f32 (*.f32 u0 (*.f32 alphay alphay)) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))) #s(literal 2 binary32)))
(* -1 (* u0 (- (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))) (/ 1 u0))))
(*.f32 (neg.f32 u0) (-.f32 (/.f32 (neg.f32 (*.f32 alphay alphay)) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) u0)))
(* -1 (* u0 (- (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))) (/ 1 u0))))
(*.f32 (neg.f32 u0) (-.f32 (/.f32 (neg.f32 (*.f32 alphay alphay)) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) u0)))
(* -1 (* u0 (- (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))) (/ 1 u0))))
(*.f32 (neg.f32 u0) (-.f32 (/.f32 (neg.f32 (*.f32 alphay alphay)) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) u0)))
(+ 1 (/ (* (pow alphay 2) u0) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2)))
(fma.f32 (*.f32 alphay alphay) (/.f32 u0 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))) #s(literal 2 binary32))) #s(literal 1 binary32))
(+ 1 (/ (* (pow alphay 2) u0) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2)))
(fma.f32 (*.f32 alphay alphay) (/.f32 u0 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))) #s(literal 2 binary32))) #s(literal 1 binary32))
(+ 1 (/ (* (pow alphay 2) u0) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2)))
(fma.f32 (*.f32 alphay alphay) (/.f32 u0 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))) #s(literal 2 binary32))) #s(literal 1 binary32))
(+ 1 (/ (* (pow alphay 2) u0) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2)))
(fma.f32 (*.f32 alphay alphay) (/.f32 u0 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))) #s(literal 2 binary32))) #s(literal 1 binary32))
(+ 1 (/ (* (pow alphay 2) u0) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2)))
(fma.f32 (*.f32 alphay alphay) (/.f32 u0 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))) #s(literal 2 binary32))) #s(literal 1 binary32))
(+ 1 (/ (* (pow alphay 2) u0) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2)))
(fma.f32 (*.f32 alphay alphay) (/.f32 u0 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))) #s(literal 2 binary32))) #s(literal 1 binary32))
(+ 1 (/ (* (pow alphay 2) u0) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2)))
(fma.f32 (*.f32 alphay alphay) (/.f32 u0 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))) #s(literal 2 binary32))) #s(literal 1 binary32))
(+ 1 (/ (* (pow alphay 2) u0) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2)))
(fma.f32 (*.f32 alphay alphay) (/.f32 u0 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))) #s(literal 2 binary32))) #s(literal 1 binary32))
(+ 1 (/ (* (pow alphay 2) u0) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2)))
(fma.f32 (*.f32 alphay alphay) (/.f32 u0 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))) #s(literal 2 binary32))) #s(literal 1 binary32))
(+ 1 (/ (* (pow alphay 2) u0) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2)))
(fma.f32 (*.f32 alphay alphay) (/.f32 u0 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))) #s(literal 2 binary32))) #s(literal 1 binary32))
(+ 1 (/ (* (pow alphay 2) u0) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2)))
(fma.f32 (*.f32 alphay alphay) (/.f32 u0 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))) #s(literal 2 binary32))) #s(literal 1 binary32))
(+ 1 (/ (* (pow alphay 2) u0) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2)))
(fma.f32 (*.f32 alphay alphay) (/.f32 u0 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))) #s(literal 2 binary32))) #s(literal 1 binary32))
(/ (sin (* 1/2 (PI))) (cos (* 1/2 (PI))))
(/.f32 (sin.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (cos.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))))
(+ (* u1 (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))) (/ (sin (* 1/2 (PI))) (cos (* 1/2 (PI)))))
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1
#s(literal 1 binary32)
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(cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))))
(cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))))
(cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))))
(cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))))
(cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax)))

eval389.0ms (1.7%)

Memory
-45.4MiB live, 648.8MiB allocated
Compiler

Compiled 147 170 to 5 893 computations (96% saved)

prune229.0ms (1%)

Memory
12.1MiB live, 560.0MiB allocated
Pruning

33 alts after pruning (27 fresh and 6 done)

PrunedKeptTotal
New1 658111 669
Fresh61622
Picked235
Done033
Total1 666331 699
Accuracy
100.0%
Counts
1 699 → 33
Alt Table
Click to see full alt table
StatusAccuracyProgram
96.1%
(fma.f32 (*.f32 alphay alphay) (/.f32 (neg.f32 u0) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax)))))) #s(literal 1 binary32))
97.2%
(fma.f32 (*.f32 alphay alphay) (/.f32 (neg.f32 u0) (*.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))) (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32))
89.2%
(fma.f32 u0 (*.f32 #s(literal -1/2 binary32) (fma.f32 u0 (*.f32 alphax alphax) (*.f32 alphax alphax))) #s(literal 1 binary32))
97.1%
(fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) u0) (*.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32))
89.2%
(fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (*.f32 alphax alphax) u0) (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32))
93.9%
(fma.f32 #s(literal -1/2 binary32) (/.f32 u0 (fma.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))) (*.f32 alphay alphay)) (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)))) #s(literal 1 binary32))
89.3%
(fma.f32 #s(literal -1/2 binary32) (*.f32 u0 (fma.f32 u0 (fma.f32 u0 (*.f32 alphax alphax) (*.f32 alphax alphax)) (*.f32 alphax alphax))) #s(literal 1 binary32))
89.3%
(fma.f32 #s(literal -1/2 binary32) (*.f32 u0 (*.f32 alphax alphax)) #s(literal 1 binary32))
50.7%
(pow.f32 (fma.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))) (/.f32 (*.f32 alphax (*.f32 alphax u0)) (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32)) #s(literal -1/2 binary32))
98.4%
(pow.f32 (fma.f32 (*.f32 alphay alphay) (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))))) #s(literal 1 binary32)) #s(literal -1/2 binary32))
99.9%
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 alphax alphax (pow.f32 (*.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32)) #s(literal 2 binary32)))) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) alphax)) #s(literal 2 binary32))))) (*.f32 alphay alphay))) (-.f32 #s(literal 1 binary32) u0)))) #s(literal -1/2 binary32))
89.2%
(/.f32 (fma.f32 #s(literal 1/4 binary32) (*.f32 (/.f32 (*.f32 u0 (*.f32 alphax alphax)) (-.f32 #s(literal 1 binary32) u0)) (/.f32 (*.f32 u0 (*.f32 alphax alphax)) (-.f32 #s(literal 1 binary32) u0))) #s(literal -1 binary32)) (fma.f32 (*.f32 alphax alphax) (*.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))
89.2%
(/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (*.f32 alphax alphax) u0) (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32)))
93.8%
(/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/2 binary32) (/.f32 u0 (fma.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))) (*.f32 alphay alphay)) (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)))) #s(literal 1 binary32)))
97.6%
(/.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (fma.f32 (*.f32 alphay alphay) (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))))) #s(literal 1 binary32)) #s(literal 1/4 binary32)) #s(literal 2 binary32)))
89.2%
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 alphax alphax) (*.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) #s(literal -1/2 binary32)) #s(literal -1 binary32)) (fma.f32 #s(literal 1/4 binary32) (*.f32 (/.f32 (*.f32 u0 (*.f32 alphax alphax)) (-.f32 #s(literal 1 binary32) u0)) (/.f32 (*.f32 u0 (*.f32 alphax alphax)) (-.f32 #s(literal 1 binary32) u0))) #s(literal -1 binary32))))
50.8%
(/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 (/.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) u0)) (*.f32 alphax (*.f32 alphax u0)) #s(literal 1 binary32))))
95.8%
(/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 (/.f32 (*.f32 u0 alphay) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax)))))))) alphay #s(literal 1 binary32))))
98.0%
(/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))))) (*.f32 alphay alphay) #s(literal 1 binary32))))
97.8%
(/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))))))))))) (*.f32 alphay alphay) #s(literal 1 binary32))))
89.3%
(/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 (*.f32 alphax alphax) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32))))
88.9%
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 u0 (*.f32 alphax alphax)) (*.f32 (-.f32 #s(literal 1 binary32) u0) (pow.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (*.f32 #s(literal 2 binary32) u1) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32)))))))
40.8%
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 u0 (*.f32 alphax alphax)) (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))))))))))
94.3%
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (fma.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))) (*.f32 alphay alphay)) (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax))))))))
99.4%
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))) (*.f32 alphay alphay)) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))) (*.f32 alphax alphax)))))))))
95.4%
(/.f32 #s(literal 1 binary32) (sqrt.f32 (*.f32 (neg.f32 u0) (-.f32 (/.f32 (neg.f32 (*.f32 alphay alphay)) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) u0)))))
95.5%
(*.f32 (-.f32 (/.f32 (*.f32 alphay alphay) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax)))))) (/.f32 #s(literal 1 binary32) u0)) (neg.f32 u0))
98.4%
(sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 2 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) u0) (*.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))) (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32))))
96.1%
(sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 2 binary32) (/.f32 (*.f32 u0 (*.f32 alphay alphay)) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax)))))) #s(literal 1 binary32))))
98.9%
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 u0 (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)) (*.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32))))) (-.f32 #s(literal 1 binary32) u0))))))
100.0%
(exp.f32 (*.f32 (log1p.f32 (/.f32 u0 (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 alphax alphax (pow.f32 (*.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32)) #s(literal 2 binary32)))) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))) (*.f32 alphay alphay))) (-.f32 #s(literal 1 binary32) u0)))) #s(literal -1/2 binary32)))
99.0%
(exp.f32 (*.f32 (log1p.f32 (/.f32 u0 (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)) (*.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32))))) (-.f32 #s(literal 1 binary32) u0)))) #s(literal -1/2 binary32)))
92.8%
#s(literal 1 binary32)
Compiler

Compiled 2 812 to 1 050 computations (62.7% saved)

regimes235.0ms (1%)

Memory
39.4MiB live, 517.4MiB allocated
Counts
52 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(fma.f32 #s(literal -1/2 binary32) (*.f32 u0 (*.f32 alphax alphax)) #s(literal 1 binary32))
(fma.f32 u0 (*.f32 #s(literal -1/2 binary32) (fma.f32 u0 (*.f32 alphax alphax) (*.f32 alphax alphax))) #s(literal 1 binary32))
(fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (*.f32 alphax alphax) u0) (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32))
(fma.f32 #s(literal -1/2 binary32) (*.f32 u0 (fma.f32 u0 (fma.f32 u0 (*.f32 alphax alphax) (*.f32 alphax alphax)) (*.f32 alphax alphax))) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (*.f32 alphax alphax) u0) (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32)))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 alphax alphax) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 (*.f32 alphax alphax) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32))))
(/.f32 (fma.f32 #s(literal 1/4 binary32) (*.f32 (/.f32 (*.f32 u0 (*.f32 alphax alphax)) (-.f32 #s(literal 1 binary32) u0)) (/.f32 (*.f32 u0 (*.f32 alphax alphax)) (-.f32 #s(literal 1 binary32) u0))) #s(literal -1 binary32)) (fma.f32 (*.f32 alphax alphax) (*.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 alphax alphax) (*.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) #s(literal -1/2 binary32)) #s(literal -1 binary32)) (fma.f32 #s(literal 1/4 binary32) (*.f32 (/.f32 (*.f32 u0 (*.f32 alphax alphax)) (-.f32 #s(literal 1 binary32) u0)) (/.f32 (*.f32 u0 (*.f32 alphax alphax)) (-.f32 #s(literal 1 binary32) u0))) #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 (/.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) u0)) (*.f32 alphax (*.f32 alphax u0)) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))))) (*.f32 alphay alphay) #s(literal 1 binary32))))
(fma.f32 (*.f32 alphay alphay) (/.f32 (neg.f32 u0) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax)))))) #s(literal 1 binary32))
(pow.f32 (fma.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))) (/.f32 (*.f32 alphax (*.f32 alphax u0)) (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32)) #s(literal -1/2 binary32))
(fma.f32 (*.f32 alphay alphay) (/.f32 (neg.f32 u0) (*.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))) (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32))
(*.f32 (-.f32 (/.f32 (*.f32 alphay alphay) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax)))))) (/.f32 #s(literal 1 binary32) u0)) (neg.f32 u0))
(pow.f32 (fma.f32 (*.f32 alphay alphay) (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))))) #s(literal 1 binary32)) #s(literal -1/2 binary32))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 (/.f32 (*.f32 u0 alphay) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax)))))))) alphay #s(literal 1 binary32))))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 2 binary32) (/.f32 (*.f32 u0 (*.f32 alphay alphay)) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax)))))) #s(literal 1 binary32))))
(*.f32 (*.f32 alphay alphay) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (neg.f32 (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))))))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))))))))))) (*.f32 alphay alphay) #s(literal 1 binary32))))
(fma.f32 #s(literal -1/2 binary32) (/.f32 u0 (fma.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))) (*.f32 alphay alphay)) (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)))) #s(literal 1 binary32))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 2 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) u0) (*.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))) (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 u0 (*.f32 alphax alphax)) (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))))))))))
(/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/2 binary32) (/.f32 u0 (fma.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))) (*.f32 alphay alphay)) (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (fma.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))) (*.f32 alphay alphay)) (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax))))))))
(fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) u0) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))) #s(literal 2 binary32))) #s(literal 1 binary32))
(fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) u0) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))) #s(literal 2 binary32))) #s(literal 1 binary32))
(fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) u0) (*.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) u0) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))) #s(literal 2 binary32))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 (*.f32 alphay alphay) (/.f32 u0 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))) #s(literal 2 binary32))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) u0) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))) #s(literal 2 binary32))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 (*.f32 alphay alphay) (/.f32 u0 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))) #s(literal 2 binary32))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) u0) (*.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0))))))
(exp.f32 (*.f32 (log1p.f32 (/.f32 (*.f32 alphay (*.f32 alphay u0)) (*.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32)))))))) #s(literal -1/2 binary32)))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 u0 (*.f32 alphax alphax)) (*.f32 (-.f32 #s(literal 1 binary32) u0) (pow.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (*.f32 #s(literal 2 binary32) u1) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32)))))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 u0 (*.f32 alphax alphax)) (*.f32 (-.f32 #s(literal 1 binary32) u0) (pow.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (/.f32 alphay alphax)))) #s(literal 2 binary32)))))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) u0) (*.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (/.f32 alphay alphax)))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0))))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (*.f32 (neg.f32 u0) (-.f32 (/.f32 (neg.f32 (*.f32 alphay alphay)) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) u0)))))
(/.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (fma.f32 (*.f32 alphay alphay) (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))))) #s(literal 1 binary32)) #s(literal 1/4 binary32)) #s(literal 2 binary32)))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 u0 (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)) (*.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32))))) (-.f32 #s(literal 1 binary32) u0))))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))) (*.f32 alphay alphay)) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))) (*.f32 alphax alphax)))))))))
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 alphax alphax (pow.f32 (*.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32)) #s(literal 2 binary32)))) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) alphax)) #s(literal 2 binary32))))) (*.f32 alphay alphay))) (-.f32 #s(literal 1 binary32) u0)))) #s(literal -1/2 binary32))
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 alphax alphax (pow.f32 (*.f32 alphax (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))) #s(literal 2 binary32)))) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))) (*.f32 alphay alphay))) (-.f32 #s(literal 1 binary32) u0)))) #s(literal -1/2 binary32))
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))) (*.f32 alphax alphax))) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))) (*.f32 alphay alphay))) (-.f32 #s(literal 1 binary32) u0)))) #s(literal -1/2 binary32))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u1) (*.f32 (PI.f32) #s(literal 1/2 binary32))))) #s(literal 2 binary32)))) (*.f32 alphax alphax)) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u1) (*.f32 (PI.f32) #s(literal 1/2 binary32))))))))) (*.f32 (*.f32 alphay alphay) #s(literal 2 binary32)))))))))
(exp.f32 (*.f32 (log1p.f32 (/.f32 u0 (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)) (*.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32))))) (-.f32 #s(literal 1 binary32) u0)))) #s(literal -1/2 binary32)))
(exp.f32 (*.f32 (log1p.f32 (/.f32 u0 (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 alphax alphax (pow.f32 (*.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32)) #s(literal 2 binary32)))) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))) (*.f32 alphay alphay))) (-.f32 #s(literal 1 binary32) u0)))) #s(literal -1/2 binary32)))
(exp.f32 (*.f32 (log1p.f32 (/.f32 u0 (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 alphax alphax (pow.f32 (*.f32 alphax (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))) #s(literal 2 binary32)))) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))) (*.f32 alphay alphay))) (-.f32 #s(literal 1 binary32) u0)))) #s(literal -1/2 binary32)))
(exp.f32 (*.f32 (log1p.f32 (/.f32 u0 (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))) (*.f32 alphax alphax))) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))) (*.f32 alphay alphay))) (-.f32 #s(literal 1 binary32) u0)))) #s(literal -1/2 binary32)))
(fma.f32 #s(literal -1/2 binary32) (/.f32 u0 (fma.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))) (*.f32 alphay alphay)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 alphax alphax) (fma.f32 (*.f32 alphay alphay) (/.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)) (*.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)))) #s(literal 1 binary32)))))) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))))
Outputs
(exp.f32 (*.f32 (log1p.f32 (/.f32 u0 (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 alphax alphax (pow.f32 (*.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32)) #s(literal 2 binary32)))) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))) (*.f32 alphay alphay))) (-.f32 #s(literal 1 binary32) u0)))) #s(literal -1/2 binary32)))
Calls

13 calls:

43.0ms
(+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))
22.0ms
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))
19.0ms
alphay
16.0ms
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay))))
16.0ms
(+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))
Results
AccuracySegmentsBranch
100.0%1u0
100.0%1u1
100.0%1alphax
100.0%1alphay
100.0%1(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))))
100.0%1(sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))))
100.0%1(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))
100.0%1(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))
100.0%1(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay))))
100.0%1(+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))
100.0%1(tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))
100.0%1(+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))
100.0%1(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1)
Compiler

Compiled 574 to 219 computations (61.8% saved)

regimes289.0ms (1.3%)

Memory
-19.7MiB live, 393.5MiB allocated
Counts
47 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(fma.f32 #s(literal -1/2 binary32) (*.f32 u0 (*.f32 alphax alphax)) #s(literal 1 binary32))
(fma.f32 u0 (*.f32 #s(literal -1/2 binary32) (fma.f32 u0 (*.f32 alphax alphax) (*.f32 alphax alphax))) #s(literal 1 binary32))
(fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (*.f32 alphax alphax) u0) (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32))
(fma.f32 #s(literal -1/2 binary32) (*.f32 u0 (fma.f32 u0 (fma.f32 u0 (*.f32 alphax alphax) (*.f32 alphax alphax)) (*.f32 alphax alphax))) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (*.f32 alphax alphax) u0) (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32)))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 alphax alphax) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 (*.f32 alphax alphax) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32))))
(/.f32 (fma.f32 #s(literal 1/4 binary32) (*.f32 (/.f32 (*.f32 u0 (*.f32 alphax alphax)) (-.f32 #s(literal 1 binary32) u0)) (/.f32 (*.f32 u0 (*.f32 alphax alphax)) (-.f32 #s(literal 1 binary32) u0))) #s(literal -1 binary32)) (fma.f32 (*.f32 alphax alphax) (*.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 alphax alphax) (*.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) #s(literal -1/2 binary32)) #s(literal -1 binary32)) (fma.f32 #s(literal 1/4 binary32) (*.f32 (/.f32 (*.f32 u0 (*.f32 alphax alphax)) (-.f32 #s(literal 1 binary32) u0)) (/.f32 (*.f32 u0 (*.f32 alphax alphax)) (-.f32 #s(literal 1 binary32) u0))) #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 (/.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) u0)) (*.f32 alphax (*.f32 alphax u0)) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))))) (*.f32 alphay alphay) #s(literal 1 binary32))))
(fma.f32 (*.f32 alphay alphay) (/.f32 (neg.f32 u0) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax)))))) #s(literal 1 binary32))
(pow.f32 (fma.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))) (/.f32 (*.f32 alphax (*.f32 alphax u0)) (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32)) #s(literal -1/2 binary32))
(fma.f32 (*.f32 alphay alphay) (/.f32 (neg.f32 u0) (*.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))) (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32))
(*.f32 (-.f32 (/.f32 (*.f32 alphay alphay) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax)))))) (/.f32 #s(literal 1 binary32) u0)) (neg.f32 u0))
(pow.f32 (fma.f32 (*.f32 alphay alphay) (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))))) #s(literal 1 binary32)) #s(literal -1/2 binary32))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 (/.f32 (*.f32 u0 alphay) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax)))))))) alphay #s(literal 1 binary32))))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 2 binary32) (/.f32 (*.f32 u0 (*.f32 alphay alphay)) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax)))))) #s(literal 1 binary32))))
(*.f32 (*.f32 alphay alphay) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (neg.f32 (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))))))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))))))))))) (*.f32 alphay alphay) #s(literal 1 binary32))))
(fma.f32 #s(literal -1/2 binary32) (/.f32 u0 (fma.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))) (*.f32 alphay alphay)) (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)))) #s(literal 1 binary32))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 2 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) u0) (*.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))) (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 u0 (*.f32 alphax alphax)) (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))))))))))
(/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/2 binary32) (/.f32 u0 (fma.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))) (*.f32 alphay alphay)) (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (fma.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))) (*.f32 alphay alphay)) (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax))))))))
(fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) u0) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))) #s(literal 2 binary32))) #s(literal 1 binary32))
(fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) u0) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))) #s(literal 2 binary32))) #s(literal 1 binary32))
(fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) u0) (*.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) u0) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))) #s(literal 2 binary32))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 (*.f32 alphay alphay) (/.f32 u0 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))) #s(literal 2 binary32))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) u0) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))) #s(literal 2 binary32))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 (*.f32 alphay alphay) (/.f32 u0 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))) #s(literal 2 binary32))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) u0) (*.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0))))))
(exp.f32 (*.f32 (log1p.f32 (/.f32 (*.f32 alphay (*.f32 alphay u0)) (*.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32)))))))) #s(literal -1/2 binary32)))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 u0 (*.f32 alphax alphax)) (*.f32 (-.f32 #s(literal 1 binary32) u0) (pow.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (*.f32 #s(literal 2 binary32) u1) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32)))))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 u0 (*.f32 alphax alphax)) (*.f32 (-.f32 #s(literal 1 binary32) u0) (pow.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (/.f32 alphay alphax)))) #s(literal 2 binary32)))))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) u0) (*.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (/.f32 alphay alphax)))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0))))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (*.f32 (neg.f32 u0) (-.f32 (/.f32 (neg.f32 (*.f32 alphay alphay)) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) u0)))))
(/.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (fma.f32 (*.f32 alphay alphay) (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))))) #s(literal 1 binary32)) #s(literal 1/4 binary32)) #s(literal 2 binary32)))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 u0 (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)) (*.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32))))) (-.f32 #s(literal 1 binary32) u0))))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))) (*.f32 alphay alphay)) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))) (*.f32 alphax alphax)))))))))
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 alphax alphax (pow.f32 (*.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32)) #s(literal 2 binary32)))) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) alphax)) #s(literal 2 binary32))))) (*.f32 alphay alphay))) (-.f32 #s(literal 1 binary32) u0)))) #s(literal -1/2 binary32))
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 alphax alphax (pow.f32 (*.f32 alphax (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))) #s(literal 2 binary32)))) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))) (*.f32 alphay alphay))) (-.f32 #s(literal 1 binary32) u0)))) #s(literal -1/2 binary32))
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))) (*.f32 alphax alphax))) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))) (*.f32 alphay alphay))) (-.f32 #s(literal 1 binary32) u0)))) #s(literal -1/2 binary32))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u1) (*.f32 (PI.f32) #s(literal 1/2 binary32))))) #s(literal 2 binary32)))) (*.f32 alphax alphax)) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u1) (*.f32 (PI.f32) #s(literal 1/2 binary32))))))))) (*.f32 (*.f32 alphay alphay) #s(literal 2 binary32)))))))))
(exp.f32 (*.f32 (log1p.f32 (/.f32 u0 (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)) (*.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32))))) (-.f32 #s(literal 1 binary32) u0)))) #s(literal -1/2 binary32)))
Outputs
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 alphax alphax (pow.f32 (*.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32)) #s(literal 2 binary32)))) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) alphax)) #s(literal 2 binary32))))) (*.f32 alphay alphay))) (-.f32 #s(literal 1 binary32) u0)))) #s(literal -1/2 binary32))
Calls

13 calls:

83.0ms
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))
34.0ms
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))))
34.0ms
(sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))))
15.0ms
alphax
15.0ms
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay))))
Results
AccuracySegmentsBranch
99.9%1u0
99.9%1u1
99.9%1alphax
99.9%1alphay
99.9%1(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))))
99.9%1(sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))))
99.9%1(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))
99.9%1(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))
99.9%1(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay))))
99.9%1(+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))
99.9%1(tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))
99.9%1(+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))
99.9%1(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1)
Compiler

Compiled 574 to 219 computations (61.8% saved)

regimes304.0ms (1.3%)

Memory
-2.8MiB live, 270.2MiB allocated
Counts
42 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(fma.f32 #s(literal -1/2 binary32) (*.f32 u0 (*.f32 alphax alphax)) #s(literal 1 binary32))
(fma.f32 u0 (*.f32 #s(literal -1/2 binary32) (fma.f32 u0 (*.f32 alphax alphax) (*.f32 alphax alphax))) #s(literal 1 binary32))
(fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (*.f32 alphax alphax) u0) (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32))
(fma.f32 #s(literal -1/2 binary32) (*.f32 u0 (fma.f32 u0 (fma.f32 u0 (*.f32 alphax alphax) (*.f32 alphax alphax)) (*.f32 alphax alphax))) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (*.f32 alphax alphax) u0) (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32)))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 alphax alphax) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 (*.f32 alphax alphax) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32))))
(/.f32 (fma.f32 #s(literal 1/4 binary32) (*.f32 (/.f32 (*.f32 u0 (*.f32 alphax alphax)) (-.f32 #s(literal 1 binary32) u0)) (/.f32 (*.f32 u0 (*.f32 alphax alphax)) (-.f32 #s(literal 1 binary32) u0))) #s(literal -1 binary32)) (fma.f32 (*.f32 alphax alphax) (*.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 alphax alphax) (*.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) #s(literal -1/2 binary32)) #s(literal -1 binary32)) (fma.f32 #s(literal 1/4 binary32) (*.f32 (/.f32 (*.f32 u0 (*.f32 alphax alphax)) (-.f32 #s(literal 1 binary32) u0)) (/.f32 (*.f32 u0 (*.f32 alphax alphax)) (-.f32 #s(literal 1 binary32) u0))) #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 (/.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) u0)) (*.f32 alphax (*.f32 alphax u0)) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))))) (*.f32 alphay alphay) #s(literal 1 binary32))))
(fma.f32 (*.f32 alphay alphay) (/.f32 (neg.f32 u0) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax)))))) #s(literal 1 binary32))
(pow.f32 (fma.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))) (/.f32 (*.f32 alphax (*.f32 alphax u0)) (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32)) #s(literal -1/2 binary32))
(fma.f32 (*.f32 alphay alphay) (/.f32 (neg.f32 u0) (*.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))) (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32))
(*.f32 (-.f32 (/.f32 (*.f32 alphay alphay) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax)))))) (/.f32 #s(literal 1 binary32) u0)) (neg.f32 u0))
(pow.f32 (fma.f32 (*.f32 alphay alphay) (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))))) #s(literal 1 binary32)) #s(literal -1/2 binary32))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 (/.f32 (*.f32 u0 alphay) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax)))))))) alphay #s(literal 1 binary32))))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 2 binary32) (/.f32 (*.f32 u0 (*.f32 alphay alphay)) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax)))))) #s(literal 1 binary32))))
(*.f32 (*.f32 alphay alphay) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (neg.f32 (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))))))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))))))))))) (*.f32 alphay alphay) #s(literal 1 binary32))))
(fma.f32 #s(literal -1/2 binary32) (/.f32 u0 (fma.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))) (*.f32 alphay alphay)) (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)))) #s(literal 1 binary32))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 2 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) u0) (*.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))) (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 u0 (*.f32 alphax alphax)) (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))))))))))
(/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/2 binary32) (/.f32 u0 (fma.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))) (*.f32 alphay alphay)) (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (fma.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))) (*.f32 alphay alphay)) (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax))))))))
(fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) u0) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))) #s(literal 2 binary32))) #s(literal 1 binary32))
(fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) u0) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))) #s(literal 2 binary32))) #s(literal 1 binary32))
(fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) u0) (*.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) u0) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))) #s(literal 2 binary32))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 (*.f32 alphay alphay) (/.f32 u0 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))) #s(literal 2 binary32))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) u0) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))) #s(literal 2 binary32))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 (*.f32 alphay alphay) (/.f32 u0 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))) #s(literal 2 binary32))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) u0) (*.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0))))))
(exp.f32 (*.f32 (log1p.f32 (/.f32 (*.f32 alphay (*.f32 alphay u0)) (*.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32)))))))) #s(literal -1/2 binary32)))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 u0 (*.f32 alphax alphax)) (*.f32 (-.f32 #s(literal 1 binary32) u0) (pow.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (*.f32 #s(literal 2 binary32) u1) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32)))))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 u0 (*.f32 alphax alphax)) (*.f32 (-.f32 #s(literal 1 binary32) u0) (pow.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (/.f32 alphay alphax)))) #s(literal 2 binary32)))))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) u0) (*.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (/.f32 alphay alphax)))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0))))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (*.f32 (neg.f32 u0) (-.f32 (/.f32 (neg.f32 (*.f32 alphay alphay)) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) u0)))))
(/.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (fma.f32 (*.f32 alphay alphay) (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))))) #s(literal 1 binary32)) #s(literal 1/4 binary32)) #s(literal 2 binary32)))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 u0 (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)) (*.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32))))) (-.f32 #s(literal 1 binary32) u0))))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))) (*.f32 alphay alphay)) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))) (*.f32 alphax alphax)))))))))
Outputs
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))) (*.f32 alphay alphay)) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))) (*.f32 alphax alphax)))))))))
Calls

13 calls:

88.0ms
alphax
47.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1)
35.0ms
u0
27.0ms
(tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))
14.0ms
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay))))
Results
AccuracySegmentsBranch
99.4%1u0
99.4%1u1
99.4%1alphax
99.4%1alphay
99.4%1(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))))
99.4%1(sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))))
99.4%1(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))
99.4%1(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))
99.4%1(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay))))
99.4%1(+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))
99.4%1(tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))
99.4%1(+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))
99.4%1(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1)
Compiler

Compiled 574 to 219 computations (61.8% saved)

regimes172.0ms (0.8%)

Memory
-9.1MiB live, 408.2MiB allocated
Counts
41 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(fma.f32 #s(literal -1/2 binary32) (*.f32 u0 (*.f32 alphax alphax)) #s(literal 1 binary32))
(fma.f32 u0 (*.f32 #s(literal -1/2 binary32) (fma.f32 u0 (*.f32 alphax alphax) (*.f32 alphax alphax))) #s(literal 1 binary32))
(fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (*.f32 alphax alphax) u0) (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32))
(fma.f32 #s(literal -1/2 binary32) (*.f32 u0 (fma.f32 u0 (fma.f32 u0 (*.f32 alphax alphax) (*.f32 alphax alphax)) (*.f32 alphax alphax))) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (*.f32 alphax alphax) u0) (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32)))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 alphax alphax) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 (*.f32 alphax alphax) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32))))
(/.f32 (fma.f32 #s(literal 1/4 binary32) (*.f32 (/.f32 (*.f32 u0 (*.f32 alphax alphax)) (-.f32 #s(literal 1 binary32) u0)) (/.f32 (*.f32 u0 (*.f32 alphax alphax)) (-.f32 #s(literal 1 binary32) u0))) #s(literal -1 binary32)) (fma.f32 (*.f32 alphax alphax) (*.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 alphax alphax) (*.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) #s(literal -1/2 binary32)) #s(literal -1 binary32)) (fma.f32 #s(literal 1/4 binary32) (*.f32 (/.f32 (*.f32 u0 (*.f32 alphax alphax)) (-.f32 #s(literal 1 binary32) u0)) (/.f32 (*.f32 u0 (*.f32 alphax alphax)) (-.f32 #s(literal 1 binary32) u0))) #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 (/.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) u0)) (*.f32 alphax (*.f32 alphax u0)) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))))) (*.f32 alphay alphay) #s(literal 1 binary32))))
(fma.f32 (*.f32 alphay alphay) (/.f32 (neg.f32 u0) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax)))))) #s(literal 1 binary32))
(pow.f32 (fma.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))) (/.f32 (*.f32 alphax (*.f32 alphax u0)) (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32)) #s(literal -1/2 binary32))
(fma.f32 (*.f32 alphay alphay) (/.f32 (neg.f32 u0) (*.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))) (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32))
(*.f32 (-.f32 (/.f32 (*.f32 alphay alphay) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax)))))) (/.f32 #s(literal 1 binary32) u0)) (neg.f32 u0))
(pow.f32 (fma.f32 (*.f32 alphay alphay) (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))))) #s(literal 1 binary32)) #s(literal -1/2 binary32))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 (/.f32 (*.f32 u0 alphay) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax)))))))) alphay #s(literal 1 binary32))))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 2 binary32) (/.f32 (*.f32 u0 (*.f32 alphay alphay)) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax)))))) #s(literal 1 binary32))))
(*.f32 (*.f32 alphay alphay) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (neg.f32 (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))))))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))))))))))) (*.f32 alphay alphay) #s(literal 1 binary32))))
(fma.f32 #s(literal -1/2 binary32) (/.f32 u0 (fma.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))) (*.f32 alphay alphay)) (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)))) #s(literal 1 binary32))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 2 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) u0) (*.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))) (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 u0 (*.f32 alphax alphax)) (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))))))))))
(/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/2 binary32) (/.f32 u0 (fma.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))) (*.f32 alphay alphay)) (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (fma.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))) (*.f32 alphay alphay)) (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax))))))))
(fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) u0) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))) #s(literal 2 binary32))) #s(literal 1 binary32))
(fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) u0) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))) #s(literal 2 binary32))) #s(literal 1 binary32))
(fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) u0) (*.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) u0) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))) #s(literal 2 binary32))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 (*.f32 alphay alphay) (/.f32 u0 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))) #s(literal 2 binary32))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) u0) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))) #s(literal 2 binary32))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 (*.f32 alphay alphay) (/.f32 u0 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))) #s(literal 2 binary32))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) u0) (*.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0))))))
(exp.f32 (*.f32 (log1p.f32 (/.f32 (*.f32 alphay (*.f32 alphay u0)) (*.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32)))))))) #s(literal -1/2 binary32)))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 u0 (*.f32 alphax alphax)) (*.f32 (-.f32 #s(literal 1 binary32) u0) (pow.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (*.f32 #s(literal 2 binary32) u1) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32)))))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 u0 (*.f32 alphax alphax)) (*.f32 (-.f32 #s(literal 1 binary32) u0) (pow.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (/.f32 alphay alphax)))) #s(literal 2 binary32)))))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) u0) (*.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (/.f32 alphay alphax)))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0))))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (*.f32 (neg.f32 u0) (-.f32 (/.f32 (neg.f32 (*.f32 alphay alphay)) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) u0)))))
(/.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (fma.f32 (*.f32 alphay alphay) (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))))) #s(literal 1 binary32)) #s(literal 1/4 binary32)) #s(literal 2 binary32)))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 u0 (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)) (*.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32))))) (-.f32 #s(literal 1 binary32) u0))))))
Outputs
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 u0 (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)) (*.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32))))) (-.f32 #s(literal 1 binary32) u0))))))
Calls

13 calls:

25.0ms
alphay
14.0ms
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay))))
14.0ms
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))
13.0ms
alphax
13.0ms
(+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))
Results
AccuracySegmentsBranch
98.9%1u0
98.9%1u1
98.9%1alphax
98.9%1alphay
98.9%1(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))))
98.9%1(sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))))
98.9%1(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))
98.9%1(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))
98.9%1(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay))))
98.9%1(+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))
98.9%1(tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))
98.9%1(+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))
98.9%1(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1)
Compiler

Compiled 574 to 219 computations (61.8% saved)

regimes222.0ms (1%)

Memory
-18.1MiB live, 255.0MiB allocated
Counts
40 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(fma.f32 #s(literal -1/2 binary32) (*.f32 u0 (*.f32 alphax alphax)) #s(literal 1 binary32))
(fma.f32 u0 (*.f32 #s(literal -1/2 binary32) (fma.f32 u0 (*.f32 alphax alphax) (*.f32 alphax alphax))) #s(literal 1 binary32))
(fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (*.f32 alphax alphax) u0) (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32))
(fma.f32 #s(literal -1/2 binary32) (*.f32 u0 (fma.f32 u0 (fma.f32 u0 (*.f32 alphax alphax) (*.f32 alphax alphax)) (*.f32 alphax alphax))) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (*.f32 alphax alphax) u0) (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32)))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 alphax alphax) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 (*.f32 alphax alphax) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32))))
(/.f32 (fma.f32 #s(literal 1/4 binary32) (*.f32 (/.f32 (*.f32 u0 (*.f32 alphax alphax)) (-.f32 #s(literal 1 binary32) u0)) (/.f32 (*.f32 u0 (*.f32 alphax alphax)) (-.f32 #s(literal 1 binary32) u0))) #s(literal -1 binary32)) (fma.f32 (*.f32 alphax alphax) (*.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 alphax alphax) (*.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) #s(literal -1/2 binary32)) #s(literal -1 binary32)) (fma.f32 #s(literal 1/4 binary32) (*.f32 (/.f32 (*.f32 u0 (*.f32 alphax alphax)) (-.f32 #s(literal 1 binary32) u0)) (/.f32 (*.f32 u0 (*.f32 alphax alphax)) (-.f32 #s(literal 1 binary32) u0))) #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 (/.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) u0)) (*.f32 alphax (*.f32 alphax u0)) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))))) (*.f32 alphay alphay) #s(literal 1 binary32))))
(fma.f32 (*.f32 alphay alphay) (/.f32 (neg.f32 u0) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax)))))) #s(literal 1 binary32))
(pow.f32 (fma.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))) (/.f32 (*.f32 alphax (*.f32 alphax u0)) (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32)) #s(literal -1/2 binary32))
(fma.f32 (*.f32 alphay alphay) (/.f32 (neg.f32 u0) (*.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))) (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32))
(*.f32 (-.f32 (/.f32 (*.f32 alphay alphay) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax)))))) (/.f32 #s(literal 1 binary32) u0)) (neg.f32 u0))
(pow.f32 (fma.f32 (*.f32 alphay alphay) (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))))) #s(literal 1 binary32)) #s(literal -1/2 binary32))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 (/.f32 (*.f32 u0 alphay) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax)))))))) alphay #s(literal 1 binary32))))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 2 binary32) (/.f32 (*.f32 u0 (*.f32 alphay alphay)) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax)))))) #s(literal 1 binary32))))
(*.f32 (*.f32 alphay alphay) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (neg.f32 (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))))))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))))))))))) (*.f32 alphay alphay) #s(literal 1 binary32))))
(fma.f32 #s(literal -1/2 binary32) (/.f32 u0 (fma.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))) (*.f32 alphay alphay)) (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)))) #s(literal 1 binary32))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 2 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) u0) (*.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))) (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 u0 (*.f32 alphax alphax)) (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))))))))))
(/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/2 binary32) (/.f32 u0 (fma.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))) (*.f32 alphay alphay)) (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (fma.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))) (*.f32 alphay alphay)) (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax))))))))
(fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) u0) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))) #s(literal 2 binary32))) #s(literal 1 binary32))
(fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) u0) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))) #s(literal 2 binary32))) #s(literal 1 binary32))
(fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) u0) (*.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) u0) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))) #s(literal 2 binary32))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 (*.f32 alphay alphay) (/.f32 u0 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))) #s(literal 2 binary32))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) u0) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))) #s(literal 2 binary32))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 (*.f32 alphay alphay) (/.f32 u0 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))) #s(literal 2 binary32))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) u0) (*.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0))))))
(exp.f32 (*.f32 (log1p.f32 (/.f32 (*.f32 alphay (*.f32 alphay u0)) (*.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32)))))))) #s(literal -1/2 binary32)))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 u0 (*.f32 alphax alphax)) (*.f32 (-.f32 #s(literal 1 binary32) u0) (pow.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (*.f32 #s(literal 2 binary32) u1) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32)))))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 u0 (*.f32 alphax alphax)) (*.f32 (-.f32 #s(literal 1 binary32) u0) (pow.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (/.f32 alphay alphax)))) #s(literal 2 binary32)))))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) u0) (*.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (/.f32 alphay alphax)))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0))))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (*.f32 (neg.f32 u0) (-.f32 (/.f32 (neg.f32 (*.f32 alphay alphay)) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) u0)))))
(/.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (fma.f32 (*.f32 alphay alphay) (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))))) #s(literal 1 binary32)) #s(literal 1/4 binary32)) #s(literal 2 binary32)))
Outputs
(sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 2 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) u0) (*.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))) (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32))))
Calls

13 calls:

36.0ms
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))))
35.0ms
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))
33.0ms
alphax
16.0ms
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay))))
12.0ms
u0
Results
AccuracySegmentsBranch
98.4%1u0
98.4%1u1
98.4%1alphax
98.4%1alphay
98.4%1(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))))
98.4%1(sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))))
98.4%1(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))
98.4%1(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))
98.4%1(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay))))
98.4%1(+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))
98.4%1(tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))
98.4%1(+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))
98.4%1(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1)
Compiler

Compiled 574 to 219 computations (61.8% saved)

regimes162.0ms (0.7%)

Memory
36.0MiB live, 190.3MiB allocated
Counts
22 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(fma.f32 #s(literal -1/2 binary32) (*.f32 u0 (*.f32 alphax alphax)) #s(literal 1 binary32))
(fma.f32 u0 (*.f32 #s(literal -1/2 binary32) (fma.f32 u0 (*.f32 alphax alphax) (*.f32 alphax alphax))) #s(literal 1 binary32))
(fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (*.f32 alphax alphax) u0) (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32))
(fma.f32 #s(literal -1/2 binary32) (*.f32 u0 (fma.f32 u0 (fma.f32 u0 (*.f32 alphax alphax) (*.f32 alphax alphax)) (*.f32 alphax alphax))) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (*.f32 alphax alphax) u0) (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32)))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 alphax alphax) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 (*.f32 alphax alphax) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32))))
(/.f32 (fma.f32 #s(literal 1/4 binary32) (*.f32 (/.f32 (*.f32 u0 (*.f32 alphax alphax)) (-.f32 #s(literal 1 binary32) u0)) (/.f32 (*.f32 u0 (*.f32 alphax alphax)) (-.f32 #s(literal 1 binary32) u0))) #s(literal -1 binary32)) (fma.f32 (*.f32 alphax alphax) (*.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 alphax alphax) (*.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) #s(literal -1/2 binary32)) #s(literal -1 binary32)) (fma.f32 #s(literal 1/4 binary32) (*.f32 (/.f32 (*.f32 u0 (*.f32 alphax alphax)) (-.f32 #s(literal 1 binary32) u0)) (/.f32 (*.f32 u0 (*.f32 alphax alphax)) (-.f32 #s(literal 1 binary32) u0))) #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 (/.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) u0)) (*.f32 alphax (*.f32 alphax u0)) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))))) (*.f32 alphay alphay) #s(literal 1 binary32))))
(fma.f32 (*.f32 alphay alphay) (/.f32 (neg.f32 u0) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax)))))) #s(literal 1 binary32))
(pow.f32 (fma.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))) (/.f32 (*.f32 alphax (*.f32 alphax u0)) (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32)) #s(literal -1/2 binary32))
(fma.f32 (*.f32 alphay alphay) (/.f32 (neg.f32 u0) (*.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))) (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32))
(*.f32 (-.f32 (/.f32 (*.f32 alphay alphay) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax)))))) (/.f32 #s(literal 1 binary32) u0)) (neg.f32 u0))
(pow.f32 (fma.f32 (*.f32 alphay alphay) (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))))) #s(literal 1 binary32)) #s(literal -1/2 binary32))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 (/.f32 (*.f32 u0 alphay) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax)))))))) alphay #s(literal 1 binary32))))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 2 binary32) (/.f32 (*.f32 u0 (*.f32 alphay alphay)) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax)))))) #s(literal 1 binary32))))
(*.f32 (*.f32 alphay alphay) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (neg.f32 (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))))))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))))))))))) (*.f32 alphay alphay) #s(literal 1 binary32))))
(fma.f32 #s(literal -1/2 binary32) (/.f32 u0 (fma.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))) (*.f32 alphay alphay)) (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)))) #s(literal 1 binary32))
Outputs
(pow.f32 (fma.f32 (*.f32 alphay alphay) (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))))) #s(literal 1 binary32)) #s(literal -1/2 binary32))
Calls

13 calls:

73.0ms
(sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))))
10.0ms
(+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))
9.0ms
(tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))
8.0ms
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))))
7.0ms
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay))))
Results
AccuracySegmentsBranch
98.4%1alphax
98.4%1alphay
98.4%1(sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))))
98.4%1(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))
98.4%1(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))
98.4%1(+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))
98.4%1u0
98.4%1u1
98.4%1(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))))
98.4%1(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay))))
98.4%1(tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))
98.4%1(+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))
98.4%1(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1)
Compiler

Compiled 574 to 219 computations (61.8% saved)

regimes101.0ms (0.4%)

Memory
-6.6MiB live, 160.9MiB allocated
Counts
16 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(fma.f32 #s(literal -1/2 binary32) (*.f32 u0 (*.f32 alphax alphax)) #s(literal 1 binary32))
(fma.f32 u0 (*.f32 #s(literal -1/2 binary32) (fma.f32 u0 (*.f32 alphax alphax) (*.f32 alphax alphax))) #s(literal 1 binary32))
(fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (*.f32 alphax alphax) u0) (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32))
(fma.f32 #s(literal -1/2 binary32) (*.f32 u0 (fma.f32 u0 (fma.f32 u0 (*.f32 alphax alphax) (*.f32 alphax alphax)) (*.f32 alphax alphax))) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (*.f32 alphax alphax) u0) (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32)))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 alphax alphax) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 (*.f32 alphax alphax) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32))))
(/.f32 (fma.f32 #s(literal 1/4 binary32) (*.f32 (/.f32 (*.f32 u0 (*.f32 alphax alphax)) (-.f32 #s(literal 1 binary32) u0)) (/.f32 (*.f32 u0 (*.f32 alphax alphax)) (-.f32 #s(literal 1 binary32) u0))) #s(literal -1 binary32)) (fma.f32 (*.f32 alphax alphax) (*.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 alphax alphax) (*.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) #s(literal -1/2 binary32)) #s(literal -1 binary32)) (fma.f32 #s(literal 1/4 binary32) (*.f32 (/.f32 (*.f32 u0 (*.f32 alphax alphax)) (-.f32 #s(literal 1 binary32) u0)) (/.f32 (*.f32 u0 (*.f32 alphax alphax)) (-.f32 #s(literal 1 binary32) u0))) #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 (/.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) u0)) (*.f32 alphax (*.f32 alphax u0)) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))))) (*.f32 alphay alphay) #s(literal 1 binary32))))
(fma.f32 (*.f32 alphay alphay) (/.f32 (neg.f32 u0) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax)))))) #s(literal 1 binary32))
(pow.f32 (fma.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))) (/.f32 (*.f32 alphax (*.f32 alphax u0)) (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32)) #s(literal -1/2 binary32))
(fma.f32 (*.f32 alphay alphay) (/.f32 (neg.f32 u0) (*.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))) (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32))
(*.f32 (-.f32 (/.f32 (*.f32 alphay alphay) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax)))))) (/.f32 #s(literal 1 binary32) u0)) (neg.f32 u0))
Outputs
(/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))))) (*.f32 alphay alphay) #s(literal 1 binary32))))
Calls

13 calls:

32.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1)
9.0ms
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))
6.0ms
alphax
6.0ms
(+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))
5.0ms
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay))))
Results
AccuracySegmentsBranch
98.0%1u0
98.0%1u1
98.0%1alphax
98.0%1alphay
98.0%1(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))))
98.0%1(sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))))
98.0%1(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))
98.0%1(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))
98.0%1(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay))))
98.0%1(+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))
98.0%1(tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))
98.0%1(+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))
98.0%1(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1)
Compiler

Compiled 574 to 219 computations (61.8% saved)

regimes57.0ms (0.3%)

Memory
3.8MiB live, 121.3MiB allocated
Accuracy

Total -13.5b remaining (-590.2%)

Threshold costs -13.5b (-590.2%)

Counts
11 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(fma.f32 #s(literal -1/2 binary32) (*.f32 u0 (*.f32 alphax alphax)) #s(literal 1 binary32))
(fma.f32 u0 (*.f32 #s(literal -1/2 binary32) (fma.f32 u0 (*.f32 alphax alphax) (*.f32 alphax alphax))) #s(literal 1 binary32))
(fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (*.f32 alphax alphax) u0) (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32))
(fma.f32 #s(literal -1/2 binary32) (*.f32 u0 (fma.f32 u0 (fma.f32 u0 (*.f32 alphax alphax) (*.f32 alphax alphax)) (*.f32 alphax alphax))) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (*.f32 alphax alphax) u0) (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32)))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 alphax alphax) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 (*.f32 alphax alphax) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32))))
(/.f32 (fma.f32 #s(literal 1/4 binary32) (*.f32 (/.f32 (*.f32 u0 (*.f32 alphax alphax)) (-.f32 #s(literal 1 binary32) u0)) (/.f32 (*.f32 u0 (*.f32 alphax alphax)) (-.f32 #s(literal 1 binary32) u0))) #s(literal -1 binary32)) (fma.f32 (*.f32 alphax alphax) (*.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 alphax alphax) (*.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) #s(literal -1/2 binary32)) #s(literal -1 binary32)) (fma.f32 #s(literal 1/4 binary32) (*.f32 (/.f32 (*.f32 u0 (*.f32 alphax alphax)) (-.f32 #s(literal 1 binary32) u0)) (/.f32 (*.f32 u0 (*.f32 alphax alphax)) (-.f32 #s(literal 1 binary32) u0))) #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 (/.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) u0)) (*.f32 alphax (*.f32 alphax u0)) #s(literal 1 binary32))))
Outputs
#s(literal 1 binary32)
Calls

13 calls:

6.0ms
alphay
6.0ms
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))
5.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1)
4.0ms
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))
4.0ms
(+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))
Results
AccuracySegmentsBranch
92.8%1u0
92.8%1(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))))
92.8%1(sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))))
92.8%1(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))
92.8%1(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))
92.8%1u1
92.8%1alphax
92.8%1alphay
92.8%1(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay))))
92.8%1(+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))
92.8%1(tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))
92.8%1(+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))
92.8%1(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1)
Compiler

Compiled 574 to 219 computations (61.8% saved)

simplify14.0ms (0.1%)

Memory
-8.3MiB live, 31.1MiB allocated
Algorithm
egg-herbie
Rules
44×*-commutative_binary32
36×+-commutative_binary32
18×sub-neg_binary32
12×neg-sub0_binary32
12×neg-mul-1_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
085295
1121295
2134295
3147295
4163295
5166295
6167295
Stop Event
saturated
Calls
Call 1
Inputs
(exp.f32 (*.f32 (log1p.f32 (/.f32 u0 (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 alphax alphax (pow.f32 (*.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32)) #s(literal 2 binary32)))) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))) (*.f32 alphay alphay))) (-.f32 #s(literal 1 binary32) u0)))) #s(literal -1/2 binary32)))
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 alphax alphax (pow.f32 (*.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32)) #s(literal 2 binary32)))) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) alphax)) #s(literal 2 binary32))))) (*.f32 alphay alphay))) (-.f32 #s(literal 1 binary32) u0)))) #s(literal -1/2 binary32))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))) (*.f32 alphay alphay)) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))) (*.f32 alphax alphax)))))))))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 u0 (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)) (*.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32))))) (-.f32 #s(literal 1 binary32) u0))))))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 2 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) u0) (*.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))) (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32))))
(pow.f32 (fma.f32 (*.f32 alphay alphay) (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))))) #s(literal 1 binary32)) #s(literal -1/2 binary32))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))))) (*.f32 alphay alphay) #s(literal 1 binary32))))
#s(literal 1 binary32)
Outputs
(exp.f32 (*.f32 (log1p.f32 (/.f32 u0 (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 alphax alphax (pow.f32 (*.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32)) #s(literal 2 binary32)))) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))) (*.f32 alphay alphay))) (-.f32 #s(literal 1 binary32) u0)))) #s(literal -1/2 binary32)))
(exp.f32 (*.f32 (log1p.f32 (/.f32 u0 (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 alphax alphax (pow.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32)))) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (/.f32 alphay alphax)) #s(literal 2 binary32))))) (*.f32 alphay alphay))) (-.f32 #s(literal 1 binary32) u0)))) #s(literal -1/2 binary32)))
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 alphax alphax (pow.f32 (*.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32)) #s(literal 2 binary32)))) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) alphax)) #s(literal 2 binary32))))) (*.f32 alphay alphay))) (-.f32 #s(literal 1 binary32) u0)))) #s(literal -1/2 binary32))
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 alphax alphax (pow.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32)))) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) alphax)) #s(literal 2 binary32))))) (*.f32 alphay alphay)))))) #s(literal -1/2 binary32))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))) (*.f32 alphay alphay)) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))) (*.f32 alphax alphax)))))))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (/.f32 alphay alphax)) #s(literal 2 binary32))))) (*.f32 alphay alphay)) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (/.f32 alphay alphax)) #s(literal 2 binary32))) (*.f32 alphax alphax)))))))))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 u0 (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)) (*.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32))))) (-.f32 #s(literal 1 binary32) u0))))))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)) (*.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32))))))))))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 2 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) u0) (*.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))) (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32))))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 2 binary32) (/.f32 (*.f32 u0 (*.f32 alphay alphay)) (*.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))))) #s(literal 1 binary32))))
(pow.f32 (fma.f32 (*.f32 alphay alphay) (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))))) #s(literal 1 binary32)) #s(literal -1/2 binary32))
(pow.f32 (fma.f32 (*.f32 alphay alphay) (/.f32 u0 (*.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (/.f32 alphay alphax)) #s(literal 2 binary32))))) (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32)) #s(literal -1/2 binary32))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))))) (*.f32 alphay alphay) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 (/.f32 u0 (*.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (/.f32 alphay alphax)) #s(literal 2 binary32))))) (-.f32 #s(literal 1 binary32) u0))) (*.f32 alphay alphay) #s(literal 1 binary32))))
#s(literal 1 binary32)

soundness1.6s (7.2%)

Memory
-0.7MiB live, 1 758.9MiB allocated
Rules
9 076×accelerator-lowering-fma.f32
9 076×accelerator-lowering-fma.f64
8 572×*-lowering-*.f32
8 572×*-lowering-*.f64
7 452×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029214
1182198
21833198
08789187
034512504
1113511347
2479711342
0860810739
02356128483
16927128483
08902121092
067521
1427519
23931511
08250474
056497
1364462
23851438
08928407
0163761297
1565459815
0859756237
064561
1407545
24211537
08153505
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 380 to 142 computations (62.6% saved)

preprocess58.0ms (0.3%)

Memory
-9.4MiB live, 146.9MiB allocated
Compiler

Compiled 782 to 234 computations (70.1% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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